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Images/koch1.eps
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Images/koch2.eps
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Images/koch2.eps
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|
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|
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|
k5X'6`rFZkk5Tr~>
|
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|
k5X'6`rFZkk5Tr~>
|
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|
k5X'6`rFZkk5Tr~>
|
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k5PD]mf*7emf*7e`r?#=mf*7emf*7ek5Tr~>
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|
end
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%%EOF
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953
Images/koch3.eps
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953
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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J,~>
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J,~>
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J,~>
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|
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|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
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|
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|
||||||
|
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|
||||||
|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
||||||
|
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|
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|
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|
||||||
|
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|
||||||
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
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|
||||||
|
i;WcWmf*7eq#:<ojSo2[q#:<oW;chtmf*7eq#:<ojSo2[q#:<oir=N~>
|
||||||
|
i;WcWmf*7eq#:<ojSo2[q#:<oW;chtmf*7eq#:<ojSo2[q#:<oir=N~>
|
||||||
|
i;WcWmf*7eq#:<ojSo2[q#:<oW;chtmf*7eq#:<ojSo2[q#:<oir=N~>
|
||||||
|
i;WcWmf*7eq#:<ojSo2[q#:<oW;chtmf*7eq#:<ojSo2[q#:<oir=N~>
|
||||||
|
i;WcWmf*7eq#:<ojSo2[q#:<oW;chtmf*7eq#:<ojSo2[q#:<oir=N~>
|
||||||
|
i;WcWmf*7eq#:<ojSo2[q#:<oW;chtmf*7eq#:<ojSo2[q#:<oir=N~>
|
||||||
|
i;WcWmf*7eq#:<ojSo2[q#:<oW;chtmf*7eq#:<ojSo2[q#:<oir=N~>
|
||||||
|
i;WcWmf*7eq#:<ojSo2[q#:<oW;chtmf*7eq#:<ojSo2[q#:<oir=N~>
|
||||||
|
i;WcWmf*7eq#:<ojSo2[q#:<oW;chtmf*7eq#:<ojSo2[q#:<oir=N~>
|
||||||
|
i;WcWmf*7eq#:<ojSo2[q#:<oW;chtmf*7eq#:<ojSo2[q#:<oir=N~>
|
||||||
|
i;WcWmf*7eq#:<ojSo2[q#:<oW;chtmf*7eq#:<ojSo2[q#:<oir=N~>
|
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|
i;WcWmf*7eq#:<ojSo2[q#:<oW;chtmf*7eq#:<ojSo2[q#:<oir=N~>
|
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|
i;`KNq#:<oq#B[\q#:<oq#C$fZN'Uuq#:<oq#B[\q#:<oq#C$fm/MS~>
|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
V#LDpq#:<oq#:<o`r?#=q#:<o]`.s3q#:<oq#:<om/MS~>
|
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|
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|
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|
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|
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|
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|
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|
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|
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|
V#LDpq#:<oq#:<o`r?#=q#:<o]`.s3q#:<oq#:<om/MS~>
|
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|
V#LDpq#:<oq#:<o`r?#=q#:<o]`.s3q#:<oq#:<om/MS~>
|
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|
V#LDpq#:<oq#:<o`r?#=q#:<o]`.s3q#:<oq#:<om/MS~>
|
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|
V#LDpq#:<oq#:<o`r?#=q#:<o]`.s3q#:<oq#:<om/MS~>
|
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|
V#LDpq#:<oq#:<o`r?#=q#:<o]`.s3q#:<oq#:<om/MS~>
|
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|
V#LDpq#:<oq#:<o`r?#=q#:<o]`.s3q#:<oq#:<om/MS~>
|
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|
V#LDpq#:<oq#:<o`r?#=q#:<o]`.s3q#:<oq#:<om/MS~>
|
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|
V#LDpq#:<oq#:<o`r?#=q#:<o]`.s3q#:<oq#:<om/MS~>
|
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|
V#LDpq#:<oq#:<o`r?#=q#:<o]`.s3q#:<oq#:<om/MS~>
|
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|
V#LDpq#:<oq#:<o`r?#=q#:<o]`.s3q#:<oq#:<om/MS~>
|
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|
V#LDpq#:<oq#:<o`r?#=q#:<o]`.s3q#:<oq#:<om/MS~>
|
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|
V#LDpq#:<oq#:<o`r?#=q#:<o]`.s3q#:<oq#:<om/MS~>
|
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|
V#LDpq#:<oq#:<o`r?#=q#:<o]`.s3q#:<oq#:<om/MS~>
|
||||||
|
V#LDpq#:<oq#:<o`r?#=q#:<o]`.s3q#:<oq#:<om/MS~>
|
||||||
|
V#LDpq#:<oq#:<o`r?#=q#:<o]`.s3q#:<oq#:<om/MS~>
|
||||||
|
V#LDpq#:<oq#:<o`r?#=q#:<o]`.s3q#:<oq#:<om/MS~>
|
||||||
|
V#LDpq#:<oq#:<o`r?#=q#:<o]`.s3q#:<oq#:<om/MS~>
|
||||||
|
V#LDpq#:<oq#:<o`r?#=q#:<o]`.s3q#:<oq#:<om/MS~>
|
||||||
|
V#LDpq#:<oq#:<o`r?#=q#:<o]`.s3q#:<oq#:<om/MS~>
|
||||||
|
V#LDpq#:<oq#:<o`r?#=q#:<o]`.s3q#:<oq#:<om/MS~>
|
||||||
|
V#LDpq#:<oq#:<o`r?#=q#:<o]`.s3q#:<oq#:<om/MS~>
|
||||||
|
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|
||||||
|
\Gu7&q#:<oq#C$fgAgjHq#:<oq#C$fgAgjHq#:<oq#C$fm/MS~>
|
||||||
|
\Gu7&q#:<oq#C$fgAgjHq#:<oq#C$fgAgjHq#:<oq#C$fm/MS~>
|
||||||
|
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|
||||||
|
\GlO/q#:<oq#:<o`r?#=q#:<oq#:<omf*7egA_-Qq#:<oq#:<of`-I~>
|
||||||
|
\GlO/q#:<oq#:<o`r?#=q#:<oq#:<omf*7egA_-Qq#:<oq#:<of`-I~>
|
||||||
|
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|
||||||
|
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|
||||||
|
\GlO/q#:<oq#:<o`r?#=q#:<oq#:<omf*7egA_-Qq#:<oq#:<of`-I~>
|
||||||
|
\GlO/q#:<oq#:<o`r?#=q#:<oq#:<omf*7egA_-Qq#:<oq#:<of`-I~>
|
||||||
|
\GlO/q#:<oq#:<o`r?#=q#:<oq#:<omf*7egA_-Qq#:<oq#:<of`-I~>
|
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|
\GlO/q#:<oq#:<o`r?#=q#:<oq#:<omf*7egA_-Qq#:<oq#:<of`-I~>
|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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1097
Images/kochIslandquadratic2.eps
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1097
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File diff suppressed because it is too large
Load Diff
965
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965
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
ci3tFli-qbiVrlXS,WHgiVrlXlMghaci8L~>
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|
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|
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|
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|
||||||
|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
||||||
|
`W#o<JcELbrrC%<J,~>
|
||||||
|
`W#o<JcELbrrC%<J,~>
|
||||||
|
`W,r<JcEOcrrC%<J,~>
|
||||||
|
`W,r<JcEOcrrC%<J,~>
|
||||||
|
`W,r<JcEOcrrC%<J,~>
|
||||||
|
`;]f;JcEOc!!'t;J,~>
|
||||||
|
`;]f;JcEOc!!'t;J,~>
|
||||||
|
`;]f;JcEOc!!'t;J,~>
|
||||||
|
`W,r<JcEOcrrC%<J,~>
|
||||||
|
`W,r<JcEOcrrC%<J,~>
|
||||||
|
`W,r<JcEOcrrC%<J,~>
|
||||||
|
`rH&=JcEIa!!("<J,~>
|
||||||
|
`rH&=JcEIa!!("<J,~>
|
||||||
|
`rH&=JcEIa!!("<J,~>
|
||||||
|
aoD;>JcEC_rW(%>J,~>
|
||||||
|
aoD;>JcEC_rW(%>J,~>
|
||||||
|
aoD;>JcEC_rW(%>J,~>
|
||||||
|
b5_JAJcE1YrrC4AJ,~>
|
||||||
|
b5_JAJcE1YrrC4AJ,~>
|
||||||
|
b5_JAJcE1YrrC4AJ,~>
|
||||||
|
bQ%SBJcE+WrrC7BJ,~>
|
||||||
|
bQ%SBJcE+WrrC7BJ,~>
|
||||||
|
bQ%SBJcE+WrrC7BJ,~>
|
||||||
|
bQ%SBJcE+WrrC7BJ,~>
|
||||||
|
bQ%SBJcE+WrrC7BJ,~>
|
||||||
|
bQ%SBJcE+WrrC7BJ,~>
|
||||||
|
b5VGAJcE+W!!(1AJ,~>
|
||||||
|
b5VGAJcE+W!!(1AJ,~>
|
||||||
|
b5VGAJcE+W!!(1AJ,~>
|
||||||
|
b5VGAJcE+W!!(1AJ,~>
|
||||||
|
b5VGAJcE+W!!(1AJ,~>
|
||||||
|
b5VGAJcE+W!!(1AJ,~>
|
||||||
|
b5_JAJcE1YrrC4AJ,~>
|
||||||
|
b5_JAJcE1YrrC4AJ,~>
|
||||||
|
b5_JAJcE1YrrC4AJ,~>
|
||||||
|
aoDA@JcE7[rrC1@J,~>
|
||||||
|
aoDA@JcE7[rrC1@J,~>
|
||||||
|
aoDA@JcE7[rrC1@J,~>
|
||||||
|
a8Z,>JcE=]!!((>J,~>
|
||||||
|
a8Z,>JcE=]!!((>J,~>
|
||||||
|
a8Z,>JcE=]!!((>J,~>
|
||||||
|
aT)8?JcE=]rrC.?J,~>
|
||||||
|
aT)8?JcE=]rrC.?J,~>
|
||||||
|
aT)8?JcE=]rrC.?J,~>
|
||||||
|
aoDA@JcE7[!!(+?J,~>
|
||||||
|
aoDA@JcE7[!!(+?J,~>
|
||||||
|
aoDA@JcE7[!!(+?J,~>
|
||||||
|
b5_JAJcE1Y!!(.@J,~>
|
||||||
|
b5_JAJcE1Y!!(.@J,~>
|
||||||
|
b5_JAJcE1Y!!(.@J,~>
|
||||||
|
b5_JAJcE4ZrrC1@J,~>
|
||||||
|
b5_JAJcE4ZrrC1@J,~>
|
||||||
|
b5_JAJcE4ZrrC1@J,~>
|
||||||
|
ao;>@JcE4Z!!(+?J,~>
|
||||||
|
ao;>@JcE4Z!!(+?J,~>
|
||||||
|
ao;>@JcE4Z!!(+?J,~>
|
||||||
|
ao;>@JcE4ZrrC1@J,~>
|
||||||
|
ao;>@JcE4ZrrC1@J,~>
|
||||||
|
ao;>@JcE4ZrrC1@J,~>
|
||||||
|
c2[eD!ri6#JcE1Yrr<-#!!(:DJ,~>
|
||||||
|
c2[eD!ri6#JcE1Yrr<-#!!(:DJ,~>
|
||||||
|
c2[eD!ri6#JcE1Yrr<-#!!(:DJ,~>
|
||||||
|
e,TFJrVufrJcE+Wr;cfrrrCOJJ,~>
|
||||||
|
e,TFJrVufrJcE+Wr;cfrrrCOJJ,~>
|
||||||
|
e,TFJrVufrJcE+Wr;cfrrrCOJJ,~>
|
||||||
|
f)PUIs8W*!JcDnQrrE*!qZ,4IJ,~>
|
||||||
|
f)PUIs8W*!JcDnQrrE*!qZ,4IJ,~>
|
||||||
|
f)PUIs8W*!JcDnQrrE*!qZ,4IJ,~>
|
||||||
|
f)G^MrVufrJcDhOr;cfr!!(UMJ,~>
|
||||||
|
f)G^MrVufrJcDhOr;cfr!!(UMJ,~>
|
||||||
|
f)G^MrVufrJcDhOr;cfr!!(UMJ,~>
|
||||||
|
fDkjNJcD8?rrC[NJ,~>
|
||||||
|
fDkjNJcD8?rrC[NJ,~>
|
||||||
|
fDkjNJcD8?rrC[NJ,~>
|
||||||
|
f`1sOJcD2=rrC^OJ,~>
|
||||||
|
f`1sOJcD2=rrC^OJ,~>
|
||||||
|
f`1sOJcD2=rrC^OJ,~>
|
||||||
|
fDbgNJcD2=!!(XNJ,~>
|
||||||
|
fDbgNJcD2=!!(XNJ,~>
|
||||||
|
fDbgNJcD2=!!(XNJ,~>
|
||||||
|
f`1sOJcD2=!!(XNJ,~>
|
||||||
|
f`1sOJcD2=!!(XNJ,~>
|
||||||
|
f`1sOJcD2=!!(XNJ,~>
|
||||||
|
f`(pOJcD/<rrC^OJ,~>
|
||||||
|
f`(pOJcD/<rrC^OJ,~>
|
||||||
|
f`(pOJcD/<rrC^OJ,~>
|
||||||
|
g].6QJcD):r;bUPJ,~>
|
||||||
|
g].6QJcD):r;bUPJ,~>
|
||||||
|
g].6QJcD):r;bUPJ,~>
|
||||||
|
h#IBSJcCo5!!(dRJ,~>
|
||||||
|
h#IBSJcCo5!!(dRJ,~>
|
||||||
|
h#IBSJcCo5!!(dRJ,~>
|
||||||
|
h#@?SJcCl4rrCjSJ,~>
|
||||||
|
h#@?SJcCl4rrCjSJ,~>
|
||||||
|
h#@?SJcCl4rrCjSJ,~>
|
||||||
|
h>[HTJcCf2rrCmTJ,~>
|
||||||
|
h>[HTJcCf2rrCmTJ,~>
|
||||||
|
h>[HTJcCf2rrCmTJ,~>
|
||||||
|
h#@?SJcCi3!!(gSJ,~>
|
||||||
|
h#@?SJcCi3!!(gSJ,~>
|
||||||
|
h#@?SJcCi3!!(gSJ,~>
|
||||||
|
h>dKTJcCi3rrCmTJ,~>
|
||||||
|
h>dKTJcCi3rrCmTJ,~>
|
||||||
|
h>dKTJcCi3rrCmTJ,~>
|
||||||
|
h>dKTJcCi3rrCmTJ,~>
|
||||||
|
h>dKTJcCi3rrCmTJ,~>
|
||||||
|
h>dKTJcCi3rrCmTJ,~>
|
||||||
|
h#IBSJcCo5rrCjSJ,~>
|
||||||
|
h#IBSJcCo5rrCjSJ,~>
|
||||||
|
h#IBSJcCo5rrCjSJ,~>
|
||||||
|
g].9RJcCu7rrCgRJ,~>
|
||||||
|
g].9RJcCu7rrCgRJ,~>
|
||||||
|
g].9RJcCu7rrCgRJ,~>
|
||||||
|
gA_-QJcCu7!!(aQJ,~>
|
||||||
|
gA_-QJcCu7!!(aQJ,~>
|
||||||
|
gA_-QJcCu7!!(aQJ,~>
|
||||||
|
g]%6RJcCr6rrCgRJ,~>
|
||||||
|
g]%6RJcCr6rrCgRJ,~>
|
||||||
|
g]%6RJcCr6rrCgRJ,~>
|
||||||
|
h#@?SJcCl4rrCjSJ,~>
|
||||||
|
h#@?SJcCl4rrCjSJ,~>
|
||||||
|
h#@?SJcCl4rrCjSJ,~>
|
||||||
|
h#IBSJcCo5rrCjSJ,~>
|
||||||
|
h#IBSJcCo5rrCjSJ,~>
|
||||||
|
h#IBSJcCo5rrCjSJ,~>
|
||||||
|
g]%6RJcCo5!!(dRJ,~>
|
||||||
|
g]%6RJcCo5!!(dRJ,~>
|
||||||
|
g]%6RJcCo5!!(dRJ,~>
|
||||||
|
h#IBSJcCo5rrCjSJ,~>
|
||||||
|
h#IBSJcCo5rrCjSJ,~>
|
||||||
|
h#IBSJcCo5rrCjSJ,~>
|
||||||
|
h#IBSJcCo5rrCjSJ,~>
|
||||||
|
h#IBSJcCo5rrCjSJ,~>
|
||||||
|
h#IBSJcCo5rrCjSJ,~>
|
||||||
|
g].9R!<<#uJcD8?rW!$"!!(dRJ,~>
|
||||||
|
g].9R!<<#uJcD8?rW!$"!!(dRJ,~>
|
||||||
|
g].9R!<<#uJcD8?rW!$"!!(dRJ,~>
|
||||||
|
g&M'P!ri6#JcD>Arr<-#!!(^PJ,~>
|
||||||
|
g&M'P!ri6#JcD>Arr<-#!!(^PJ,~>
|
||||||
|
g&M'P!ri6#JcD>Arr<-#!!(^PJ,~>
|
||||||
|
ec5XLJcDDCrrCULJ,~>
|
||||||
|
ec5XLJcDDCrrCULJ,~>
|
||||||
|
ec5XLJcDDCrrCULJ,~>
|
||||||
|
eGfLKJcDDC!!(OKJ,~>
|
||||||
|
eGfLKJcDDC!!(OKJ,~>
|
||||||
|
eGfLKJcDDC!!(OKJ,~>
|
||||||
|
ec5XLJcDDC!!(OKJ,~>
|
||||||
|
ec5XLJcDDC!!(OKJ,~>
|
||||||
|
ec5XLJcDDC!!(OKJ,~>
|
||||||
|
ec5UKJcDJErrCRKJ,~>
|
||||||
|
ec5UKJcDJErrCRKJ,~>
|
||||||
|
ec5UKJcDJErrCRKJ,~>
|
||||||
|
e,TFJJcDPGrrCOJJ,~>
|
||||||
|
e,TFJJcDPGrrCOJJ,~>
|
||||||
|
e,TFJJcDPGrrCOJJ,~>
|
||||||
|
df0:IJcDPG!!(IIJ,~>
|
||||||
|
df0:IJcDPG!!(IIJ,~>
|
||||||
|
df0:IJcDPG!!(IIJ,~>
|
||||||
|
df0:IJcDPG!!(IIJ,~>
|
||||||
|
df0:IJcDPG!!(IIJ,~>
|
||||||
|
df0:IJcDPG!!(IIJ,~>
|
||||||
|
e,TFJJcDPGrrCOJJ,~>
|
||||||
|
e,TFJJcDPGrrCOJJ,~>
|
||||||
|
e,TFJJcDPGrrCOJJ,~>
|
||||||
|
eGoOKJcDJErrCRKJ,~>
|
||||||
|
eGoOKJcDJErrCRKJ,~>
|
||||||
|
eGoOKJcDJErrCRKJ,~>
|
||||||
|
e,KCJJcDJE!!(LJJ,~>
|
||||||
|
e,KCJJcDJE!!(LJJ,~>
|
||||||
|
e,KCJJcDJE!!(LJJ,~>
|
||||||
|
eGoOKJcDJE!!(LJJ,~>
|
||||||
|
eGoOKJcDJE!!(LJJ,~>
|
||||||
|
eGoOKJcDJE!!(LJJ,~>
|
||||||
|
eGfLKJcDGDrrCRKJ,~>
|
||||||
|
eGfLKJcDGDrrCRKJ,~>
|
||||||
|
eGfLKJcDGDrrCRKJ,~>
|
||||||
|
fDkgMJcDABr;bILJ,~>
|
||||||
|
fDkgMJcDABr;bILJ,~>
|
||||||
|
fDkgMJcDABr;bILJ,~>
|
||||||
|
f`1sOJcD2=!!(XNJ,~>
|
||||||
|
f`1sOJcD2=!!(XNJ,~>
|
||||||
|
f`1sOJcD2=!!(XNJ,~>
|
||||||
|
f`(pOJcD/<rrC^OJ,~>
|
||||||
|
f`(pOJcD/<rrC^OJ,~>
|
||||||
|
f`(pOJcD/<rrC^OJ,~>
|
||||||
|
g&D$PJcD):rrCaPJ,~>
|
||||||
|
g&D$PJcD):rrCaPJ,~>
|
||||||
|
g&D$PJcD):rrCaPJ,~>
|
||||||
|
g&M'PJcD,;rrCaPJ,~>
|
||||||
|
g&M'PJcD,;rrCaPJ,~>
|
||||||
|
g&M'PJcD,;rrCaPJ,~>
|
||||||
|
f`(pOJcD,;!!([OJ,~>
|
||||||
|
f`(pOJcD,;!!([OJ,~>
|
||||||
|
f`(pOJcD,;!!([OJ,~>
|
||||||
|
g&M'PJcD,;rrCaPJ,~>
|
||||||
|
g&M'PJcD,;rrCaPJ,~>
|
||||||
|
g&M'PJcD,;rrCaPJ,~>
|
||||||
|
f`1sOJcD2=rrC^OJ,~>
|
||||||
|
f`1sOJcD2=rrC^OJ,~>
|
||||||
|
f`1sOJcD2=rrC^OJ,~>
|
||||||
|
fDkjNJcD8?rrC[NJ,~>
|
||||||
|
fDkjNJcD8?rrC[NJ,~>
|
||||||
|
fDkjNJcD8?rrC[NJ,~>
|
||||||
|
f)G^MJcD8?!!(UMJ,~>
|
||||||
|
f)G^MJcD8?!!(UMJ,~>
|
||||||
|
f)G^MJcD8?!!(UMJ,~>
|
||||||
|
fDkjNJcD8?!!(UMJ,~>
|
||||||
|
fDkjNJcD8?!!(UMJ,~>
|
||||||
|
fDkjNJcD8?!!(UMJ,~>
|
||||||
|
fDbgNJcD5>rrC[NJ,~>
|
||||||
|
fDbgNJcD5>rrC[NJ,~>
|
||||||
|
fDbgNJcD5>rrC[NJ,~>
|
||||||
|
f`(pOJcD/<rrC^OJ,~>
|
||||||
|
f`(pOJcD/<rrC^OJ,~>
|
||||||
|
f`(pOJcD/<rrC^OJ,~>
|
||||||
|
fDbgNJcD2=!!(XNJ,~>
|
||||||
|
fDbgNJcD2=!!(XNJ,~>
|
||||||
|
fDbgNJcD2=!!(XNJ,~>
|
||||||
|
f`1sOJcD2=rrC^OJ,~>
|
||||||
|
f`1sOJcD2=rrC^OJ,~>
|
||||||
|
f`1sOJcD2=rrC^OJ,~>
|
||||||
|
f`1sOJcD2=rrC^OJ,~>
|
||||||
|
f`1sOJcD2=rrC^OJ,~>
|
||||||
|
f`1sOJcD2=rrC^OJ,~>
|
||||||
|
fDkjNJcD8?rrC[NJ,~>
|
||||||
|
fDkjNJcD8?rrC[NJ,~>
|
||||||
|
fDkjNJcD8?rrC[NJ,~>
|
||||||
|
f)PUIJcDVIqZ,4IJ,~>
|
||||||
|
f)PUIJcDVIqZ,4IJ,~>
|
||||||
|
f)PUIJcDVIqZ,4IJ,~>
|
||||||
|
ec5XLs8W*!JcD\KrrE*!rrCULJ,~>
|
||||||
|
ec5XLs8W*!JcD\KrrE*!rrCULJ,~>
|
||||||
|
ec5XLs8W*!JcD\KrrE*!rrCULJ,~>
|
||||||
|
d/O(GJcD\K!!(CGJ,~>
|
||||||
|
d/O(GJcD\K!!(CGJ,~>
|
||||||
|
d/O(GJcD\K!!(CGJ,~>
|
||||||
|
dJs4Hqu?TpJcEC_rW)fp!!(CGJ,~>
|
||||||
|
dJs4Hqu?TpJcEC_rW)fp!!(CGJ,~>
|
||||||
|
dJs4Hqu?TpJcEC_rW)fp!!(CGJ,~>
|
||||||
|
dJs1GrVults8VrrJcEaiqZ-Zr!!)rsrrCFGJ,~>
|
||||||
|
dJs1GrVults8VrrJcEaiqZ-Zr!!)rsrrCFGJ,~>
|
||||||
|
dJs1GrVults8VrrJcEaiqZ-Zr!!)rsrrCFGJ,~>
|
||||||
|
ci<kBrVults8W*!JcEgkrrE*!rrE&uq>ekAJ,~>
|
||||||
|
ci<kBrVults8W*!JcEgkrrE*!rrE&uq>ekAJ,~>
|
||||||
|
ci<kBrVults8W*!JcEgkrrE*!rrE&uq>ekAJ,~>
|
||||||
|
cN!nE!ri6#q#:<oJcEgk!!)forr<-#!!(=EJ,~>
|
||||||
|
cN!nE!ri6#q#:<oJcEgk!!)forr<-#!!(=EJ,~>
|
||||||
|
cN!nE!ri6#q#:<oJcEgk!!)forr<-#!!(=EJ,~>
|
||||||
|
_>jN8JcEgkrrBn8J,~>
|
||||||
|
_>jN8JcEgkrrBn8J,~>
|
||||||
|
_>jN8JcEgkrrBn8J,~>
|
||||||
|
_>jN8JcEgkrrBn8J,~>
|
||||||
|
_>jN8JcEgkrrBn8J,~>
|
||||||
|
_>jN8JcEgkrrBn8J,~>
|
||||||
|
_#OE7JcEmmrrBk7J,~>
|
||||||
|
_#OE7JcEmmrrBk7J,~>
|
||||||
|
_#OE7JcEmmrrBk7J,~>
|
||||||
|
^Ae05JcEso!!'b5J,~>
|
||||||
|
^Ae05JcEso!!'b5J,~>
|
||||||
|
^Ae05JcEso!!'b5J,~>
|
||||||
|
^Ae05JcEso!!'b5J,~>
|
||||||
|
^Ae05JcEso!!'b5J,~>
|
||||||
|
^Ae05JcEso!!'b5J,~>
|
||||||
|
^]4<6JcEsorrBh6J,~>
|
||||||
|
^]4<6JcEsorrBh6J,~>
|
||||||
|
^]4<6JcEsorrBh6J,~>
|
||||||
|
_#OE7jo>;[M?!MSjo>>\_#Jo~>
|
||||||
|
_#OE7jo>;[M?!MSjo>>\_#Jo~>
|
||||||
|
_#OE7jo>;[M?!MSjo>>\_#Jo~>
|
||||||
|
_#OE7k5YG]!<;rsOT57Zs8W*!k5YG]_#Jo~>
|
||||||
|
_#OE7k5YG]!<;rsOT57Zs8W*!k5YG]_#Jo~>
|
||||||
|
_#OE7k5YG]!<;rsOT57Zs8W*!k5YG]_#Jo~>
|
||||||
|
^]+96l2U\^rr;uu!ri6#P5kO^!WN/us8;r^rr<&6s*t~>
|
||||||
|
^]+96l2U\^rr;uu!ri6#P5kO^!WN/us8;r^rr<&6s*t~>
|
||||||
|
^]+96l2U\^rr;uu!ri6#P5kO^!WN/us8;r^rr<&6s*t~>
|
||||||
|
_#OE7lMgqdrr<&orr<%`rr<&ps8N'#rr<&arr<&6s*t~>
|
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_#OE7lMgqdrr<&orr<%`rr<&ps8N'#rr<&arr<&6s*t~>
|
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_#OE7lMgqdrr<&orr<%`rr<&ps8N'#rr<&arr<&6s*t~>
|
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|
_#OB6m/R(cp&>!lqZ$QqVuQ_rqYpNqp&G$lmJm.c^]/f~>
|
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_#OB6m/R(cp&>!lqZ$QqVuQ_rqYpNqp&G$lmJm.c^]/f~>
|
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_#OB6m/R(cp&>!lqZ$QqVuQ_rqYpNqp&G$lmJm.c^]/f~>
|
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|
^An*2nG`Igo`+pkr;Qm"rr<'!rW'2&rr<6&!!*$!!;uls!;-9k!:^$e!58D_~>
|
||||||
|
^An*2nG`Igo`+pkr;Qm"rr<'!rW'2&rr<6&!!*$!!;uls!;-9k!:^$e!58D_~>
|
||||||
|
^An*2nG`Igo`+pkr;Qm"rr<'!rW'2&rr<6&!!*$!!;uls!;-9k!:^$e!58D_~>
|
||||||
|
^&S*4!ri6#nc/Uho`+pkrr;uurr;uu!ri6#ZN'q)!WN/us8N)us8N)ks8N)hs8N'"rrB_3J,~>
|
||||||
|
^&S*4!ri6#nc/Uho`+pkrr;uurr;uu!ri6#ZN'q)!WN/us8N)us8N)ks8N)hs8N'"rrB_3J,~>
|
||||||
|
^&S*4!ri6#nc/Uho`+pkrr;uurr;uu!ri6#ZN'q)!WN/us8N)us8N)ks8N)hs8N'"rrB_3J,~>
|
||||||
|
\GlO/o)J^ioDe^gq>^Hp[/^.+q>^?moD\djnc&Rh\Gq'~>
|
||||||
|
\GlO/o)J^ioDe^gq>^Hp[/^.+q>^?moD\djnc&Rh\Gq'~>
|
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|
\GlO/o)J^ioDe^gq>^Hp[/^.+q>^?moD\djnc&Rh\Gq'~>
|
||||||
|
\c;[0qZ$Qqr;Zcsnc&Rhp&>!l[/U++pAb-mnc&Rhqu?ZrqYpNq\Gq'~>
|
||||||
|
\c;[0qZ$Qqr;Zcsnc&Rhp&>!l[/U++pAb-mnc&Rhqu?ZrqYpNq\Gq'~>
|
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|
\c;[0qZ$Qqr;Zcsnc&Rhp&>!l[/U++pAb-mnc&Rhqu?ZrqYpNq\Gq'~>
|
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|
\c;[0qu6d!rr<'!r;bmX!!'D+!!)*[qu?m"!<3$!r;Zcs\Gq'~>
|
||||||
|
\c;[0qu6d!rr<'!r;bmX!!'D+!!)*[qu?m"!<3$!r;Zcs\Gq'~>
|
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|
\c;[0qu6d!rr<'!r;bmX!!'D+!!)*[qu?m"!<3$!r;Zcs\Gq'~>
|
||||||
|
\GuR/rVultrr;uu!ri6#j8],Z\,ZF-j8],Z!ri6#rr;uurr;uu\,Us~>
|
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\GuR/rVultrr;uu!ri6#j8],Z\,ZF-j8],Z!ri6#rr;uurr;uu\,Us~>
|
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\GuR/rVultrr;uu!ri6#j8],Z\,ZF-j8],Z!ri6#rr;uurr;uu\,Us~>
|
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\,Z=*g&M'P\c;[0f`1jL[f:j~>
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\,Z=*g&M'P\c;[0f`1jL[f:j~>
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\,Z=*g&M'P\c;[0f`1jL[f:j~>
|
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[f?@-ec,UL\c2X0eGfLK[Jta~>
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[f?@-ec,UL\c2X0eGfLK[Jta~>
|
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[f?@-ec,UL\c2X0eGfLK[Jta~>
|
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M#RGT\c;[0M#Vu~>
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M#RGT\c;[0M#Vu~>
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M#RGT\c;[0M#Vu~>
|
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M?!SU\GuR/M>r)~>
|
||||||
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M?!SU\GuR/M>r)~>
|
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M?!SU\GuR/M>r)~>
|
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MZ<\V[f?@-MZ82~>
|
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MZ<\V[f?@-MZ82~>
|
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MZ<\V[f?@-MZ82~>
|
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M>mPU[f6=-M>r)~>
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M>mPU[f6=-M>r)~>
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M>mPU[f6=-M>r)~>
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M>mPU[f6=-M>r)~>
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M>mPU[f6=-M>r)~>
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M>mPU[f6=-M>r)~>
|
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M?!SU\GuR/M>r)~>
|
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M?!SU\GuR/M>r)~>
|
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M?!SU\GuR/M>r)~>
|
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M#[JT])Vd1M#Vu~>
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M#[JT])Vd1M#Vu~>
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M#[JT])Vd1M#Vu~>
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L]@8P_uKT6L];l~>
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L]@8P_uKT6L];l~>
|
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L]@8P_uKT6L];l~>
|
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LAqAVs8N'!`W,r<s8W*!LAuc~>
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LAqAVs8N'!`W,r<s8W*!LAuc~>
|
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LAqAVs8N'!`W,r<s8W*!LAuc~>
|
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K)YfN`W#o<JcC6~>
|
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K)YfN`W#o<JcC6~>
|
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K)YfN`W#o<JcC6~>
|
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K)YfN`W,r<K)^?~>
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K)YfN`W,r<K)^?~>
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K)YfN`W,r<K)^?~>
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K)bfMaT)5>K)^?~>
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K)bfMaT)5>K)^?~>
|
||||||
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K)bfMaT)5>K)^?~>
|
||||||
|
Jc>fO!!(1Arr@WM!<7Q~>
|
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Jc>fO!!(1Arr@WM!<7Q~>
|
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Jc>fO!!(1Arr@WM!<7Q~>
|
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JcGcM!!(1A!!%TMs8RT~>
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JcGcM!!(1A!!%TMs8RT~>
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JcGcM!!(1A!!%TMs8RT~>
|
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Jc>fO!!(1Arr@WM!<7Q~>
|
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Jc>fO!!(1Arr@WM!<7Q~>
|
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Jc>fO!!(1Arr@WM!<7Q~>
|
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JcG`MaSu5?Jc>`MJ,~>
|
||||||
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JcG`MaSu5?Jc>`MJ,~>
|
||||||
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JcG`MaSu5?Jc>`MJ,~>
|
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K)biN`r?#=JcC6~>
|
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K)biN`r?#=JcC6~>
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K)biN`r?#=JcC6~>
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K)biNa8c/>JcC6~>
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K)biNa8c/>JcC6~>
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K)biNa8c/>JcC6~>
|
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Jc>]Ma8Z,>Jc>`MJ,~>
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Jc>]Ma8Z,>Jc>`MJ,~>
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Jc>]Ma8Z,>Jc>`MJ,~>
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Jc>]Ma8c/>JcC6~>
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Jc>]Ma8c/>JcC6~>
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Jc>]Ma8c/>JcC6~>
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L&_/Q!ri6#`rH&=!WN.Qs*t~>
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L&_/Q!ri6#`rH&=!WN.Qs*t~>
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L&_/Q!ri6#`rH&=!WN.Qs*t~>
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L&_)O`;fc9L&ZZ~>
|
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L&_)O`;fc9L&ZZ~>
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L&_)O`;fc9L&ZZ~>
|
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LB%8R^An35LAuc~>
|
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LB%8R^An35LAuc~>
|
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LB%8R^An35LAuc~>
|
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L]@AS]`8!3L];l~>
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L]@AS]`8!3L];l~>
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L]@AS]`8!3L];l~>
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L]@AS]`8!3L];l~>
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L]@AS]`8!3L];l~>
|
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L]@AS]`8!3L];l~>
|
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LAq5R]`.s3LAuc~>
|
||||||
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LAq5R]`.s3LAuc~>
|
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|
LAq5R]`.s3LAuc~>
|
||||||
|
LAq5R]`.s3LAuc~>
|
||||||
|
LAq5R]`.s3LAuc~>
|
||||||
|
LAq5R]`.s3LAuc~>
|
||||||
|
LB%8R^]495LAuc~>
|
||||||
|
LB%8R^]495LAuc~>
|
||||||
|
LB%8R^]495LAuc~>
|
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|
L&_/Q_>jN8K`?Q~>
|
||||||
|
L&_/Q_>jN8K`?Q~>
|
||||||
|
L&_/Q_>jN8K`?Q~>
|
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K`;#P_>aK8KE$H~>
|
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K`;#P_>aK8KE$H~>
|
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K`;#P_>aK8KE$H~>
|
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K`;#P_>jN8K`?Q~>
|
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K`;#P_>jN8K`?Q~>
|
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|
K`;#P_>jN8K`?Q~>
|
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|
L&_/Q_#OE7L&ZZ~>
|
||||||
|
L&_/Q_#OE7L&ZZ~>
|
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|
L&_/Q_#OE7L&ZZ~>
|
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|
LB%8R^An35LAuc~>
|
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|
LB%8R^An35LAuc~>
|
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|
LB%8R^An35LAuc~>
|
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|
LB%8R^An35LAuc~>
|
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|
LB%8R^An35LAuc~>
|
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|
LB%8R^An35LAuc~>
|
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|
L&V,Q^Ae05L&ZZ~>
|
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L&V,Q^Ae05L&ZZ~>
|
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L&V,Q^Ae05L&ZZ~>
|
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|
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L&V,Q^Ae05L&ZZ~>
|
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L&V,Q^Ae05L&ZZ~>
|
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L&_,P_Z0T8L&ZZ~>
|
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|
L&_,P_Z0T8L&ZZ~>
|
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|
L&_,P_Z0T8L&ZZ~>
|
||||||
|
KE(iLbQ%G>KE$H~>
|
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|
KE(iLbQ%G>KE$H~>
|
||||||
|
KE(iLbQ%G>KE$H~>
|
||||||
|
K)YrRs8N'!c2[eDs8W*!K)^?~>
|
||||||
|
K)YrRs8N'!c2[eDs8W*!K)^?~>
|
||||||
|
K)YrRs8N'!c2[eDs8W*!K)^?~>
|
||||||
|
JcG`L!!(:D!!%TMrVqB~>
|
||||||
|
JcG`L!!(:D!!%TMrVqB~>
|
||||||
|
JcG`L!!(:D!!%TMrVqB~>
|
||||||
|
JcG`L!!)lqr;bjWr;c`prr@WMrr7K~>
|
||||||
|
JcG`L!!)lqr;bjWr;c`prr@WMrr7K~>
|
||||||
|
JcG`L!!)lqr;bjWr;c`prr@WMrr7K~>
|
||||||
|
JcG`LrrDusrrE*!r;c']r;cltrrDusrr@WMrr7K~>
|
||||||
|
JcG`LrrDusrrE*!r;c']r;cltrrDusrr@WMrr7K~>
|
||||||
|
JcG`LrrDusrrE*!r;c']r;cltrrDusrr@WMrr7K~>
|
||||||
|
JcG]Krr<'!r;cfr!s&?$!:'Rd!<3$!rVufr!ri6#JcG]KJ,~>
|
||||||
|
JcG]Krr<'!r;cfr!s&?$!:'Rd!<3$!rVufr!ri6#JcG]KJ,~>
|
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|
JcG]Krr<'!r;cfr!s&?$!:'Rd!<3$!rVufr!ri6#JcG]KJ,~>
|
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|
JcGWI!s&?$!;QQo!:9^c!;ZZp!!<0#!.k1Is*t~>
|
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JcGWI!s&?$!;QQo!:9^c!;ZZp!!<0#!.k1Is*t~>
|
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|
JcGWI!s&?$!;QQo!:9^c!;ZZp!!<0#!.k1Is*t~>
|
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JcG0<!!)Bc!!%TMmf.e~>
|
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|
JcG0<!!)Bc!!%TMmf.e~>
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JcG0<!!)Bc!!%TMmf.e~>
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JcG0<rrDKerr@WMmf.e~>
|
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JcG0<rrDKerr@WMmf.e~>
|
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|
JcG0<rrDKerr@WMmf.e~>
|
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|
JcG-;rrDQgrr@WMmJh\~>
|
||||||
|
JcG-;rrDQgrr@WMmJh\~>
|
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|
JcG-;rrDQgrr@WMmJh\~>
|
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|
JcG*:rrDWirr@WMm/MS~>
|
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JcG*:rrDWirr@WMm/MS~>
|
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JcG*:rrDWirr@WMm/MS~>
|
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JcG'9!!)Ti!!%TMli2J~>
|
||||||
|
JcG'9!!)Ti!!%TMli2J~>
|
||||||
|
JcG'9!!)Ti!!%TMli2J~>
|
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JcG*:rrDWirr@WMm/MS~>
|
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JcG*:rrDWirr@WMm/MS~>
|
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JcG*:rrDWirr@WMm/MS~>
|
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JcG-;rrDQg!!%TMm/MS~>
|
||||||
|
JcG-;rrDQg!!%TMm/MS~>
|
||||||
|
JcG-;rrDQg!!%TMm/MS~>
|
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JcG0<rrDKe!!%TMmJh\~>
|
||||||
|
JcG0<rrDKe!!%TMmJh\~>
|
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JcG0<rrDKe!!%TMmJh\~>
|
||||||
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JcG-;!!)Kf!!%TMm/MS~>
|
||||||
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JcG-;!!)Kf!!%TMm/MS~>
|
||||||
|
JcG-;!!)Kf!!%TMm/MS~>
|
||||||
|
JcG-;!!)Kfrr@WMmJh\~>
|
||||||
|
JcG-;!!)Kfrr@WMmJh\~>
|
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|
JcG-;!!)Kfrr@WMmJh\~>
|
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|
JcG-;rrDQgrr@WMmJh\~>
|
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|
JcG-;rrDQgrr@WMmJh\~>
|
||||||
|
JcG-;rrDQgrr@WMmJh\~>
|
||||||
|
JcG*:rr<-#!!)iprW!$"!!%TMm/MS~>
|
||||||
|
JcG*:rr<-#!!)iprW!$"!!%TMm/MS~>
|
||||||
|
JcG*:rr<-#!!)iprW!$"!!%TMm/MS~>
|
||||||
|
JcG$8rr<*"!;lfr!!<0#!.k18s*t~>
|
||||||
|
JcG$8rr<*"!;lfr!!<0#!.k18s*t~>
|
||||||
|
JcG$8rr<*"!;lfr!!<0#!.k18s*t~>
|
||||||
|
JcFp5rrE#trr@WMk5Tr~>
|
||||||
|
JcFp5rrE#trr@WMk5Tr~>
|
||||||
|
JcFp5rrE#trr@WMk5Tr~>
|
||||||
|
JcFm4!!)ut!!%TMjo9i~>
|
||||||
|
JcFm4!!)ut!!%TMjo9i~>
|
||||||
|
JcFm4!!)ut!!%TMjo9i~>
|
||||||
|
JcFm4!!)utrr@WMk5Tr~>
|
||||||
|
JcFm4!!)utrr@WMk5Tr~>
|
||||||
|
JcFm4!!)utrr@WMk5Tr~>
|
||||||
|
JcFm4rVururW%NLk5Tr~>
|
||||||
|
JcFm4rVururW%NLk5Tr~>
|
||||||
|
JcFm4rVururW%NLk5Tr~>
|
||||||
|
JcFg2rW%NLjSs`~>
|
||||||
|
JcFg2rW%NLjSs`~>
|
||||||
|
JcFg2rW%NLjSs`~>
|
||||||
|
JcFd1!!%TMj8XW~>
|
||||||
|
JcFd1!!%TMj8XW~>
|
||||||
|
JcFd1!!%TMj8XW~>
|
||||||
|
JcC<$`;b>~>
|
||||||
|
JcC<$`;b>~>
|
||||||
|
JcC<$`;b>~>
|
||||||
|
JcC<$`;b>~>
|
||||||
|
JcC<$`;b>~>
|
||||||
|
JcC<$`;b>~>
|
||||||
|
JcC<$`;b>~>
|
||||||
|
JcC<$`;b>~>
|
||||||
|
JcC<$`;b>~>
|
||||||
|
JcC<$`;b>~>
|
||||||
|
JcC<$`;b>~>
|
||||||
|
JcC<$`;b>~>
|
||||||
|
JcC<$`;b>~>
|
||||||
|
JcC<$`;b>~>
|
||||||
|
JcC<$`;b>~>
|
||||||
|
%%EndData
|
||||||
|
showpage
|
||||||
|
%%Trailer
|
||||||
|
end
|
||||||
|
%%EOF
|
||||||
1100
Images/plante1.eps
Normal file
1100
Images/plante1.eps
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File diff suppressed because it is too large
Load Diff
863
Images/plante2.eps
Normal file
863
Images/plante2.eps
Normal file
@ -0,0 +1,863 @@
|
|||||||
|
%!PS-Adobe-3.0 EPSF-3.0
|
||||||
|
%%Creator: GIMP PostScript file plugin V 1.17 by Peter Kirchgessner
|
||||||
|
%%Title: plante2.eps
|
||||||
|
%%CreationDate: Mon Mar 14 12:31:08 2011
|
||||||
|
%%DocumentData: Clean7Bit
|
||||||
|
%%LanguageLevel: 2
|
||||||
|
%%Pages: 1
|
||||||
|
%%BoundingBox: 14 14 289 159
|
||||||
|
%%EndComments
|
||||||
|
%%BeginProlog
|
||||||
|
% Use own dictionary to avoid conflicts
|
||||||
|
10 dict begin
|
||||||
|
%%EndProlog
|
||||||
|
%%Page: 1 1
|
||||||
|
% Translate for offset
|
||||||
|
14.173228346456694 14.173228346456694 translate
|
||||||
|
% Translate to begin of first scanline
|
||||||
|
0 144.79667592571334 translate
|
||||||
|
274.39370078740154 -144.79667592571334 scale
|
||||||
|
% Image geometry
|
||||||
|
343 181 8
|
||||||
|
% Transformation matrix
|
||||||
|
[ 343 0 0 181 0 0 ]
|
||||||
|
% Strings to hold RGB-samples per scanline
|
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{currentfile /ASCII85Decode filter /RunLengthDecode filter bstr readstring pop}
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||||||
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\newlabel{sub@figplante2}{{(a)}{17}}
|
||||||
|
\newlabel{figplante3}{{4(b)}{17}}
|
||||||
|
\newlabel{sub@figplante3}{{(b)}{17}}
|
||||||
|
\@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces Deux autres plantes\relax }}{17}\protected@file@percent }
|
||||||
|
\newlabel{figplantes}{{4}{17}}
|
||||||
|
\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {nbiteration = 5, angle = 20\textdegree {} (axiome F ; r\IeC {\`e}gle \ref {regle1})}}}{17}\protected@file@percent }
|
||||||
|
\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {nbiteration = 5, angle = 22,5\textdegree {} (axiome F ; r\IeC {\`e}gle \ref {regle2})}}}{17}\protected@file@percent }
|
||||||
|
\newlabel{figplante4}{{5(a)}{18}}
|
||||||
|
\newlabel{sub@figplante4}{{(a)}{18}}
|
||||||
|
\newlabel{figplante5}{{5(b)}{18}}
|
||||||
|
\newlabel{sub@figplante5}{{(b)}{18}}
|
||||||
|
\newlabel{figplante6}{{5(c)}{18}}
|
||||||
|
\newlabel{sub@figplante6}{{(c)}{18}}
|
||||||
|
\@writefile{lof}{\contentsline {figure}{\numberline {5}{\ignorespaces Deux autres plantes\relax }}{18}\protected@file@percent }
|
||||||
|
\newlabel{figplantes2}{{5}{18}}
|
||||||
|
\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {nbiteration = 7, angle = 20\textdegree {} (axiome X, r\IeC {\`e}gle \ref {regle3})}}}{18}\protected@file@percent }
|
||||||
|
\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {nbiteration = 7, angle = 25,7\textdegree {} (axiome X, r\IeC {\`e}gle \ref {regle4})}}}{18}\protected@file@percent }
|
||||||
|
\@writefile{lof}{\contentsline {subfigure}{\numberline{(c)}{\ignorespaces {nbiteration = 5, angle = 22,5\textdegree {} (axiome X, r\IeC {\`e}gle \ref {regle5})}}}{18}\protected@file@percent }
|
||||||
|
\newlabel{algo}{{4.5}{18}}
|
||||||
|
\@writefile{toc}{\contentsline {subsection}{\numberline {4.5}Algorithmique}{18}\protected@file@percent }
|
||||||
|
\@writefile{toc}{\contentsline {subsubsection}{\numberline {4.5.1}Cr\IeC {\'e}ation}{18}\protected@file@percent }
|
||||||
|
\@writefile{loa}{\contentsline {algocf}{\numberline {1}{\ignorespaces Cr\IeC {\'e}ation de la cha\IeC {\^\i }ne\relax }}{19}\protected@file@percent }
|
||||||
|
\newlabel{algocreation}{{1}{19}}
|
||||||
|
\@writefile{toc}{\contentsline {subsubsection}{\numberline {4.5.2}Interpr\IeC {\'e}tation}{19}\protected@file@percent }
|
||||||
|
\@writefile{toc}{\contentsline {subsection}{\numberline {4.6}Programmation}{19}\protected@file@percent }
|
||||||
|
\@writefile{toc}{\contentsline {subsubsection}{\numberline {4.6.1}Approche non r\IeC {\'e}cursive}{19}\protected@file@percent }
|
||||||
|
\@writefile{toc}{\contentsline {paragraph}{La cr\IeC {\'e}ation de la cha\IeC {\^\i }ne}{20}\protected@file@percent }
|
||||||
|
\@writefile{loa}{\contentsline {algocf}{\numberline {2}{\ignorespaces Interpr\IeC {\'e}tation graphique de la cha\IeC {\^\i }ne\relax }}{20}\protected@file@percent }
|
||||||
|
\newlabel{algointerpretation}{{2}{20}}
|
||||||
|
\@writefile{toc}{\contentsline {paragraph}{L'interpr\IeC {\'e}tation de la cha\IeC {\^\i }ne}{21}\protected@file@percent }
|
||||||
|
\@writefile{toc}{\contentsline {subsubsection}{\numberline {4.6.2}Approche r\IeC {\'e}cursive}{22}\protected@file@percent }
|
||||||
|
\@writefile{lof}{\contentsline {figure}{\numberline {6}{\ignorespaces Flocon de Koch r\IeC {\'e}cursif.\relax }}{23}\protected@file@percent }
|
||||||
|
\newlabel{Kochrecursif1}{{6}{23}}
|
||||||
|
\@writefile{lof}{\contentsline {figure}{\numberline {7}{\ignorespaces Flocon de Koch r\IeC {\'e}cursif.\relax }}{24}\protected@file@percent }
|
||||||
|
\newlabel{appelrecursif}{{7}{24}}
|
||||||
|
\@writefile{toc}{\contentsline {section}{\numberline {5}Conclusion}{24}\protected@file@percent }
|
||||||
|
\@writefile{toc}{\contentsline {section}{\numberline {6}Solutions des exercices}{25}\protected@file@percent }
|
||||||
|
\@writefile{toc}{\contentsline {section}{\numberline {7}Annexes}{27}\protected@file@percent }
|
||||||
|
\@writefile{toc}{\contentsline {subsection}{\numberline {7.1}Code python plante}{27}\protected@file@percent }
|
||||||
|
\newlabel{codepythonfonct}{{7.1}{27}}
|
||||||
|
\@writefile{toc}{\contentsline {subsection}{\numberline {7.2}Code python plante \IeC {\`a} deux r\IeC {\`e}gles}{29}\protected@file@percent }
|
||||||
|
\newlabel{codepythonfonct2}{{7.2}{29}}
|
||||||
|
\@writefile{toc}{\contentsline {subsection}{\numberline {7.3}Code python flocon de Koch r\IeC {\'e}cursif}{34}\protected@file@percent }
|
||||||
|
\newlabel{codepythonfloconrecursif}{{7.3}{34}}
|
||||||
|
\citation{CJ06}
|
||||||
|
\citation{PP94}
|
||||||
|
\citation{PP94}
|
||||||
|
\citation{TO07}
|
||||||
|
\citation{GP09}
|
||||||
|
\citation{BD11}
|
||||||
|
\bibstyle{apalike-fr}
|
||||||
|
\bibdata{../../Bibliographies/BiblioCours}
|
||||||
|
\bibcite{BD11}{{1}{2011}{{Buchs}}{{}}}
|
||||||
|
\bibcite{DB08}{{2}{2008}{{Desgraupes}}{{}}}
|
||||||
|
\bibcite{GP09}{{3}{2009}{{Gastin}}{{}}}
|
||||||
|
\bibcite{PP94}{{4}{1994}{{Hammel}}{{}}}
|
||||||
|
\bibcite{LA04}{{5}{2004}{{Prusinkiewicz}}{{}}}
|
||||||
|
\bibcite{CJ06}{{6}{2006}{{Renault}}{{}}}
|
||||||
|
\bibcite{TO07}{{7}{2007}{{Togni}}{{}}}
|
||||||
44
Lsystem.bbl
Normal file
44
Lsystem.bbl
Normal file
@ -0,0 +1,44 @@
|
|||||||
|
\begin{thebibliography}{}
|
||||||
|
\expandafter\ifx\csname fonteauteurs\endcsname\relax
|
||||||
|
\def\fonteauteurs{\scshape}\fi
|
||||||
|
\expandafter\ifx\csname url\endcsname\relax
|
||||||
|
\def\url#1{{\tt #1}}%
|
||||||
|
\message{You should include the url package}\fi
|
||||||
|
|
||||||
|
\bibitem[Buchs, 2011]{BD11}
|
||||||
|
\bgroup\fonteauteurs\bgroup Buchs\egroup\egroup{}, D. (2011).
|
||||||
|
\newblock Langages formels.
|
||||||
|
|
||||||
|
\bibitem[Desgraupes, 2008]{DB08}
|
||||||
|
\bgroup\fonteauteurs\bgroup Desgraupes\egroup\egroup{}, B. (2008).
|
||||||
|
\newblock {\em Expressions r{\'e}guli{\`e}res.}
|
||||||
|
\newblock Pearson.
|
||||||
|
\newblock Simple, clair et efficace. Mais peu théorique.
|
||||||
|
|
||||||
|
\bibitem[Gastin, 2009]{GP09}
|
||||||
|
\bgroup\fonteauteurs\bgroup Gastin\egroup\egroup{}, P. (2009).
|
||||||
|
\newblock Langages formels.
|
||||||
|
|
||||||
|
\bibitem[Hammel, 1994]{PP94}
|
||||||
|
\bgroup\fonteauteurs\bgroup Hammel\egroup\egroup{}, P. P.~M. (1994).
|
||||||
|
\newblock {\em Language-Restricted Iterated Function Systems, Koch
|
||||||
|
Constructions, and L-systems}.
|
||||||
|
\newblock University of Calgary SIGGRAPH ’94 Course Notes. ACM Press.
|
||||||
|
|
||||||
|
\bibitem[Prusinkiewicz, 2004]{LA04}
|
||||||
|
\bgroup\fonteauteurs\bgroup Prusinkiewicz\egroup\egroup{}, A. L.~P. (2004).
|
||||||
|
\newblock {\em The Algorithmic Beauty of Plants.}
|
||||||
|
\newblock Springer-Verlag.
|
||||||
|
\newblock Ouvrage référence publié sur
|
||||||
|
\url{http://algorithmicbotany.org/papers/}.
|
||||||
|
|
||||||
|
\bibitem[Renault, 2006]{CJ06}
|
||||||
|
\bgroup\fonteauteurs\bgroup Renault\egroup\egroup{}, J. C.~F. (2006).
|
||||||
|
\newblock {\em Interpr{\'e}tation graphique d’une grammaire L-System}.
|
||||||
|
\newblock Ecole Polytechnique de l’Universite de Tours.
|
||||||
|
|
||||||
|
\bibitem[Togni, 2007]{TO07}
|
||||||
|
\bgroup\fonteauteurs\bgroup Togni\egroup\egroup{}, O. (2007).
|
||||||
|
\newblock Langages et automates.
|
||||||
|
|
||||||
|
\end{thebibliography}
|
||||||
45
Lsystem.blg
Normal file
45
Lsystem.blg
Normal file
@ -0,0 +1,45 @@
|
|||||||
|
This is BibTeX, Version 0.99c (Web2C 7.5.6)
|
||||||
|
The top-level auxiliary file: Lsystem.aux
|
||||||
|
The style file: apalike-fr.bst
|
||||||
|
Database file #1: ../../Bibliographies/BiblioCours.bib
|
||||||
|
You've used 7 entries,
|
||||||
|
2038 wiz_defined-function locations,
|
||||||
|
553 strings with 5118 characters,
|
||||||
|
and the built_in function-call counts, 2293 in all, are:
|
||||||
|
= -- 260
|
||||||
|
> -- 49
|
||||||
|
< -- 7
|
||||||
|
+ -- 16
|
||||||
|
- -- 14
|
||||||
|
* -- 115
|
||||||
|
:= -- 525
|
||||||
|
add.period$ -- 20
|
||||||
|
call.type$ -- 7
|
||||||
|
change.case$ -- 38
|
||||||
|
chr.to.int$ -- 7
|
||||||
|
cite$ -- 7
|
||||||
|
duplicate$ -- 86
|
||||||
|
empty$ -- 138
|
||||||
|
format.name$ -- 21
|
||||||
|
if$ -- 447
|
||||||
|
int.to.chr$ -- 1
|
||||||
|
int.to.str$ -- 0
|
||||||
|
missing$ -- 8
|
||||||
|
newline$ -- 42
|
||||||
|
num.names$ -- 21
|
||||||
|
pop$ -- 42
|
||||||
|
preamble$ -- 1
|
||||||
|
purify$ -- 42
|
||||||
|
quote$ -- 0
|
||||||
|
skip$ -- 68
|
||||||
|
stack$ -- 0
|
||||||
|
substring$ -- 170
|
||||||
|
swap$ -- 4
|
||||||
|
text.length$ -- 0
|
||||||
|
text.prefix$ -- 0
|
||||||
|
top$ -- 0
|
||||||
|
type$ -- 34
|
||||||
|
warning$ -- 0
|
||||||
|
while$ -- 14
|
||||||
|
width$ -- 0
|
||||||
|
write$ -- 89
|
||||||
0
Lsystem.brf
Normal file
0
Lsystem.brf
Normal file
BIN
Lsystem.dvi
Normal file
BIN
Lsystem.dvi
Normal file
Binary file not shown.
3
Lsystem.ent
Normal file
3
Lsystem.ent
Normal file
@ -0,0 +1,3 @@
|
|||||||
|
\@doanenote {1}
|
||||||
|
macro:->asldfkj
|
||||||
|
\@endanenote
|
||||||
0
Lsystem.idx
Normal file
0
Lsystem.idx
Normal file
1397
Lsystem.log
Normal file
1397
Lsystem.log
Normal file
File diff suppressed because it is too large
Load Diff
11
Lsystem.out
Normal file
11
Lsystem.out
Normal file
@ -0,0 +1,11 @@
|
|||||||
|
\BOOKMARK [1][-]{section*.1}{Copyright}{}
|
||||||
|
\BOOKMARK [1][-]{section*.2}{Avertissement}{}
|
||||||
|
\BOOKMARK [1][-]{section*.3}{Table des mati\350res}{}
|
||||||
|
\BOOKMARK [1][-]{section.1}{Introduction}{}
|
||||||
|
\BOOKMARK [1][-]{section.2}{Langage formel}{}
|
||||||
|
\BOOKMARK [1][-]{section.3}{Langage rationnel}{}
|
||||||
|
\BOOKMARK [2][-]{subsection.3.1}{Les automates}{section.3}
|
||||||
|
\BOOKMARK [2][-]{subsection.3.2}{Les expressions r\351guli\350res}{section.3}
|
||||||
|
\BOOKMARK [1][-]{section.4}{Langage de Lindenmayer}{}
|
||||||
|
\BOOKMARK [1][-]{section.5}{G\351n\351ration de s\351quece}{}
|
||||||
|
\BOOKMARK [1][-]{section.6}{interpr\351tation graphique}{}
|
||||||
BIN
Lsystem.pdf
Normal file
BIN
Lsystem.pdf
Normal file
Binary file not shown.
32858
Lsystem.ps
Normal file
32858
Lsystem.ps
Normal file
File diff suppressed because it is too large
Load Diff
1285
Lsystem.tex
Normal file
1285
Lsystem.tex
Normal file
File diff suppressed because it is too large
Load Diff
1285
Lsystem.tex.backup
Normal file
1285
Lsystem.tex.backup
Normal file
File diff suppressed because it is too large
Load Diff
1285
Lsystem.tex~
Normal file
1285
Lsystem.tex~
Normal file
File diff suppressed because it is too large
Load Diff
34
Lsystem.toc
Normal file
34
Lsystem.toc
Normal file
@ -0,0 +1,34 @@
|
|||||||
|
\babel@toc {french}{}
|
||||||
|
\contentsline {section}{Copyright}{2}%
|
||||||
|
\contentsline {section}{Avertissement}{3}%
|
||||||
|
\contentsline {section}{Table des mati\IeC {\`e}res}{3}%
|
||||||
|
\contentsline {section}{\numberline {1}Introduction}{4}%
|
||||||
|
\contentsline {section}{\numberline {2}Langage formel}{4}%
|
||||||
|
\contentsline {section}{\numberline {3}Langage rationnel}{6}%
|
||||||
|
\contentsline {subsection}{\numberline {3.1}Les automates}{6}%
|
||||||
|
\contentsline {subsection}{\numberline {3.2}Les expressions rationnelles}{8}%
|
||||||
|
\contentsline {section}{\numberline {4}Langage de Lindenmayer}{10}%
|
||||||
|
\contentsline {subsection}{\numberline {4.1}Grammaire}{10}%
|
||||||
|
\contentsline {subsection}{\numberline {4.2}G\IeC {\'e}n\IeC {\'e}ration de s\IeC {\'e}quence}{11}%
|
||||||
|
\contentsline {subsection}{\numberline {4.3}L-system}{12}%
|
||||||
|
\babel@toc {english}{}
|
||||||
|
\babel@toc {french}{}
|
||||||
|
\babel@toc {english}{}
|
||||||
|
\babel@toc {french}{}
|
||||||
|
\contentsline {subsection}{\numberline {4.4}Interpr\IeC {\'e}tation graphique}{13}%
|
||||||
|
\contentsline {subsubsection}{\numberline {4.4.1}Koch}{13}%
|
||||||
|
\contentsline {subsubsection}{\numberline {4.4.2}Mod\IeC {\'e}lisation des plantes}{14}%
|
||||||
|
\contentsline {subsection}{\numberline {4.5}Algorithmique}{18}%
|
||||||
|
\contentsline {subsubsection}{\numberline {4.5.1}Cr\IeC {\'e}ation}{18}%
|
||||||
|
\contentsline {subsubsection}{\numberline {4.5.2}Interpr\IeC {\'e}tation}{19}%
|
||||||
|
\contentsline {subsection}{\numberline {4.6}Programmation}{19}%
|
||||||
|
\contentsline {subsubsection}{\numberline {4.6.1}Approche non r\IeC {\'e}cursive}{19}%
|
||||||
|
\contentsline {paragraph}{La cr\IeC {\'e}ation de la cha\IeC {\^\i }ne}{20}%
|
||||||
|
\contentsline {paragraph}{L'interpr\IeC {\'e}tation de la cha\IeC {\^\i }ne}{21}%
|
||||||
|
\contentsline {subsubsection}{\numberline {4.6.2}Approche r\IeC {\'e}cursive}{22}%
|
||||||
|
\contentsline {section}{\numberline {5}Conclusion}{24}%
|
||||||
|
\contentsline {section}{\numberline {6}Solutions des exercices}{25}%
|
||||||
|
\contentsline {section}{\numberline {7}Annexes}{27}%
|
||||||
|
\contentsline {subsection}{\numberline {7.1}Code python plante}{27}%
|
||||||
|
\contentsline {subsection}{\numberline {7.2}Code python plante \IeC {\`a} deux r\IeC {\`e}gles}{29}%
|
||||||
|
\contentsline {subsection}{\numberline {7.3}Code python flocon de Koch r\IeC {\'e}cursif}{34}%
|
||||||
91
Preambule.tex
Normal file
91
Preambule.tex
Normal file
@ -0,0 +1,91 @@
|
|||||||
|
% Ce fichier constitue le préambule des différents cours de physique. Les définitions de modules propres à chaque cours se trouvent dans le préambule de ces cours. On trouve ici les définitions des modules communs.
|
||||||
|
% Ce fichier est appelé par chaque cours à travers l'instruction \input{../Preambule.tex}
|
||||||
|
% Attention, les modules précédés de trois commentaires : %%% sont en conflit avec le module vaucanson-g. C'est pourquoi il ont été retirés.
|
||||||
|
|
||||||
|
\usepackage[T1]{fontenc} % écrire avec les accents
|
||||||
|
\usepackage[utf8]{inputenc} % écrire avec les accents
|
||||||
|
%\usepackage{babel}
|
||||||
|
\usepackage[english,french]{babel} % pour le support des documents multilingues. Il vaut mieux mettre french là plutôt que dans le documentclass
|
||||||
|
% pour pouvoir gérer l'anglais ou autres langues.
|
||||||
|
%\usepackage{lmodern}
|
||||||
|
%\usepackage{geometry} % pour gérer les marges de la page
|
||||||
|
%\geometry{verbose,a4paper,lmargin=2cm,rmargin=2cm} % règle les marges de la page
|
||||||
|
|
||||||
|
\setcounter{tocdepth}{5} % pour définir la profondeur de la table des matières
|
||||||
|
\usepackage{makeidx} % pour permettre de construire un index
|
||||||
|
\makeindex % pour construire effectivement l'index
|
||||||
|
|
||||||
|
\makeatletter % pour faire de @ une lettre simple (et non un caractère associé à une macro interne
|
||||||
|
\usepackage{path} % pour mettre du code non interprété
|
||||||
|
\usepackage{fancybox} % pour faire des boites entourée de différents types de cadres
|
||||||
|
\usepackage{framed} % pour mettre des sortes de minipages encadrées sur plusieures pages, sur fond coloré
|
||||||
|
\usepackage[dvips]{color} % pour mettre du gris ou de la couleur dans les boites
|
||||||
|
%%%\usepackage{pst-grad} % pour faire des dégradés en pstricks (! il faut le mettre juste ici pour que cela fonctionne !)
|
||||||
|
\definecolor{shadecolor}{rgb}{.9,.9,.9} % pour définir la couleur de fond du package framed
|
||||||
|
\usepackage{boxedminipage} % pour mettre des bordures aux minipages
|
||||||
|
\usepackage{relsize,fancyvrb} % pour mettre des textes non interprétés encadrés et changer la taille des caractères à l'intérieur
|
||||||
|
\usepackage{array} % pour étendre les possiblités de tabular par défaut pour les tableaux
|
||||||
|
\usepackage{multirow} % pour faire une cellule de tableau sur plusieurs lignes
|
||||||
|
\usepackage{colortbl} % pour mettre de la couleur dans un tableau
|
||||||
|
\usepackage{hhline} % pour faire des filets spéciaux dans les tableaux
|
||||||
|
\usepackage{supertabular} % pour faire des tableaux sur plusieurs pages
|
||||||
|
\usepackage{float} % permet un placement obligatoire
|
||||||
|
\usepackage{url} % permet une bonne gestion de la césure des url
|
||||||
|
\usepackage{graphicx} % pour charger le module étendu graphicx du module graphics. Pour différents effets graphiques dont l'orientation et le redimentionnement des eps
|
||||||
|
%\usepackage{graphics} % idem que graphicx, mais sans orientation et redimentionnement
|
||||||
|
\usepackage{wrapfig} % pour mettre des figures dans le flot du texte
|
||||||
|
\usepackage{psfrag} % pour mettre des équations latex dans des figures (ne fonctionne qu'avec ps)
|
||||||
|
%%%\usepackage{pstricks} % pour étendre les possiblités de graphisme des figures de latex construite avec jpicedt
|
||||||
|
%\usepackage{pstricks-add} % plein de bug semble-t-il, mais aurait été utile
|
||||||
|
%\usepackage{pstcol}
|
||||||
|
\usepackage{multido} % pour répéter des figures en pstricks
|
||||||
|
%\usepackage[figuresright ou figuresleft]{rotating} % permet de faire tourner des figures \sidewaysfigure ou des textes \rotatebox dans un sens ou un autre
|
||||||
|
\usepackage{rotating} % permet de faire tourner des figures \sidewaysfigure ou des textes \rotatebox
|
||||||
|
\usepackage{subfigure} % pour faire des figures comprenant plusieures figures
|
||||||
|
\usepackage{fancyhdr} % pour des entêtes et pieds de page entièrement personnalisés
|
||||||
|
\usepackage{fancyvrb} % pour mettre des \verb dans les minipages
|
||||||
|
\usepackage[Lenny]{fncychap} % pour des titres de chapitres différents ...
|
||||||
|
\usepackage{multicol} % pour mettre un \begin{multicols}...\end{multicols} et faire du multicolonnage localement dans une page
|
||||||
|
\usepackage{amsmath} % pour avoir beaucoup de symboles mathématiques et des alignements complexes
|
||||||
|
\usepackage{amssymb} % nécessaire pour avoir certains symboles mathématiques
|
||||||
|
\usepackage{amsfonts} % nécessaire pour avoir certains symboles mathématiques
|
||||||
|
%\usepackage{chappg} % numérotation par chapitre
|
||||||
|
\usepackage{epsfig} % pour inclure des fichiers .eps. Mais il semble que les modules graphics ou graphicx devraient le remplacer
|
||||||
|
\makeatother % pour refaire de @ une lettre différente des autres (exploitée dans des macros)
|
||||||
|
\usepackage{caption} % pour gérer encore mieux les légendes
|
||||||
|
\renewcommand{\captionfont}{\it \small} % pour avoir de l'italique pour le texte de légende
|
||||||
|
\renewcommand{\captionlabelfont}{\it \bf \small}
|
||||||
|
\DeclareCaptionLabelSeparator{endash}{ -- } % pour définir un tiret après le numéro des légentes
|
||||||
|
\captionsetup{labelsep=endash,justification=centering,belowskip=10pt} % pour avoir un petit trait après le no de légende
|
||||||
|
\usepackage{verbatim} % pour faire des commentaires longs \begin{comment}
|
||||||
|
\usepackage{endnotes} % pour faire des notes de fin
|
||||||
|
%\renewcommand{\theendnote}{\Roman{endnote}} % pour mettre les notes de fin en romain
|
||||||
|
\renewcommand{\thefootnote}{\alph{footnote}} % pour mettre les notes de bas de page en alphabétique
|
||||||
|
%\usepackage{apalike} % nécessaire pour que le style de bibliographie apalike soit correctement appliqué
|
||||||
|
% attention, le module apalike ne doit être utilisé qu'en anglais. Le titre bibliography est codé en dur à l'intérieur du module
|
||||||
|
\usepackage{natbib} % à utiliser impérativement avec apalike-fr pour parfaire les entrées
|
||||||
|
%\usepackage{textcomp} % pour mettre de beaux degrés
|
||||||
|
\usepackage{textcomp} % pour le symbole pourmille : \textperthousand (! pas en mode math) et pour le symbole de copyleft \textcopyleft
|
||||||
|
%%%\usepackage{boites,boites_exemples} % pour faire des paragraphes encadrés sur plusieurs colonnes
|
||||||
|
\usepackage{textpos} % pour positionner du texte ou des images à une place très précise de la page.
|
||||||
|
%%\usepackage{floatflt} % pour placer des tableaux entourés de texte
|
||||||
|
\usepackage{nextpage} % pour retirer les entêtes de la dernière page vide d'un chapitre ;
|
||||||
|
\newcommand\myclearpage{\cleartooddpage[\thispagestyle{plain}]} % il faut ensuite placer \myclearpage à la fin de chaque chapitre.
|
||||||
|
\def\siecle#1{\textsc{\romannumeral #1}\textsuperscript{e}~siècle} % macro pour écrire les siècles : \siecle{19} par exemple
|
||||||
|
|
||||||
|
%\usepackage{showidx} % pour voir les entrées d'index dans la marge. ATTENTION : commenter avant la compilation.
|
||||||
|
|
||||||
|
%\usepackage{aeguill} % fontes utilisées par pdflatex (pour un pdf avec liens cliquables ; pas encore testé)
|
||||||
|
%\usepackage{hyperref} % pour faire des hyperréférences (pas encore testé)
|
||||||
|
%\hypersetup{colorlinks,citecolor=black,filecolor=black,linkcolor=black,urlcolor=black,pdftex} % pour définir la couleur des liens en noir, pour une meilleure impression (pas encore testé)
|
||||||
|
%\usepackage{unitsdef} % pour l'écriture des unités
|
||||||
|
%%\usepackage[derivedinbase,squaren,cdot,Gray]{SIunits} % pour utiliser des commandes relatives au unités du système internationnal ; il y a aussi les préfixes m M G ...
|
||||||
|
% le squaren est là pour éviter une incompatibilité avec le symbole ams de la racine.
|
||||||
|
% le derivedinbase est là pour fournir une traduction des unités SI dérivées en unités SI de base
|
||||||
|
%\usepackage{hepunits} % unités telles que Hz, eV, ...
|
||||||
|
%\usepackage{siunitx} % meilleure gestion des unités que siunits, mais incompatible avec celui-ci !
|
||||||
|
%\usepackage[fixlanguage]{babelbib} % pour avoir une bibliographie en français ou différentes entrées de langues différentes (pour cela il faut renseigner un champ de langue)
|
||||||
|
%\selectbiblanguage{french} % sélection de la langue (attention, pour apalike, il faut sélectionner apalike-fr)
|
||||||
|
\usepackage{lettrine} % pour mettre des lettrines
|
||||||
|
\usepackage{listings} % pour mettre du code informatique non interprété
|
||||||
|
\usepackage{xspace} % pour gérer les expaces nott. entre X et e pour les siècles
|
||||||
90
Preambule.tex.backup
Normal file
90
Preambule.tex.backup
Normal file
@ -0,0 +1,90 @@
|
|||||||
|
% Ce fichier constitue le préambule des différents cours de physique. Les définitions de modules propres à chaque cours se trouvent dans le préambule de ces cours. On trouve ici les définitions des modules communs.
|
||||||
|
% Ce fichier est appelé par chaque cours à travers l'instruction \input{../Preambule.tex}
|
||||||
|
|
||||||
|
\usepackage[T1]{fontenc} % écrire avec les accents
|
||||||
|
\usepackage[utf8]{inputenc} % écrire avec les accents
|
||||||
|
%\usepackage{babel}
|
||||||
|
\usepackage[english,french]{babel} % pour le support des documents multilingues. Il vaut mieux mettre french là plutôt que dans le documentclass
|
||||||
|
% pour pouvoir gérer l'anglais ou autres langues.
|
||||||
|
%\usepackage{lmodern}
|
||||||
|
%\usepackage{geometry} % pour gérer les marges de la page
|
||||||
|
%\geometry{verbose,a4paper,lmargin=2cm,rmargin=2cm} % règle les marges de la page
|
||||||
|
|
||||||
|
\setcounter{tocdepth}{5} % pour définir la profondeur de la table des matières
|
||||||
|
\usepackage{makeidx} % pour permettre de construire un index
|
||||||
|
\makeindex % pour construire effectivement l'index
|
||||||
|
|
||||||
|
\makeatletter % pour faire de @ une lettre simple (et non un caractère associé à une macro interne
|
||||||
|
\usepackage{path} % pour mettre du code non interprété
|
||||||
|
\usepackage{fancybox} % pour faire des boites entourée de différents types de cadres
|
||||||
|
\usepackage{framed} % pour mettre des sortes de minipages encadrées sur plusieures pages, sur fond coloré
|
||||||
|
\usepackage[dvips]{color} % pour mettre du gris ou de la couleur dans les boites
|
||||||
|
%\usepackage{pst-grad} % pour faire des dégradés en pstricks (! il faut le mettre juste ici pour que cela fonctionne !)
|
||||||
|
\definecolor{shadecolor}{rgb}{.9,.9,.9} % pour définir la couleur de fond du package framed
|
||||||
|
\usepackage{boxedminipage} % pour mettre des bordures aux minipages
|
||||||
|
\usepackage{relsize,fancyvrb} % pour mettre des textes non interprétés encadrés et changer la taille des caractères à l'intérieur
|
||||||
|
\usepackage{array} % pour étendre les possiblités de tabular par défaut pour les tableaux
|
||||||
|
\usepackage{multirow} % pour faire une cellule de tableau sur plusieurs lignes
|
||||||
|
\usepackage{colortbl} % pour mettre de la couleur dans un tableau
|
||||||
|
\usepackage{hhline} % pour faire des filets spéciaux dans les tableaux
|
||||||
|
\usepackage{supertabular} % pour faire des tableaux sur plusieurs pages
|
||||||
|
\usepackage{float} % permet un placement obligatoire
|
||||||
|
\usepackage{url} % permet une bonne gestion de la césure des url
|
||||||
|
\usepackage{graphicx} % pour charger le module étendu graphicx du module graphics. Pour différents effets graphiques dont l'orientation et le redimentionnement des eps
|
||||||
|
%\usepackage{graphics} % idem que graphicx, mais sans orientation et redimentionnement
|
||||||
|
\usepackage{wrapfig} % pour mettre des figures dans le flot du texte
|
||||||
|
\usepackage{psfrag} % pour mettre des équations latex dans des figures (ne fonctionne qu'avec ps)
|
||||||
|
\usepackage{pstricks} % pour étendre les possiblités de graphisme des figures de latex construite avec jpicedt
|
||||||
|
%\usepackage{pstricks-add} % plein de bug semble-t-il, mais aurait été utile
|
||||||
|
%\usepackage{pstcol}
|
||||||
|
\usepackage{multido} % pour répéter des figures en pstricks
|
||||||
|
%\usepackage[figuresright ou figuresleft]{rotating} % permet de faire tourner des figures \sidewaysfigure ou des textes \rotatebox dans un sens ou un autre
|
||||||
|
\usepackage{rotating} % permet de faire tourner des figures \sidewaysfigure ou des textes \rotatebox
|
||||||
|
\usepackage{subfigure} % pour faire des figures comprenant plusieures figures
|
||||||
|
\usepackage{fancyhdr} % pour des entêtes et pieds de page entièrement personnalisés
|
||||||
|
\usepackage{fancyvrb} % pour mettre des \verb dans les minipages
|
||||||
|
\usepackage[Lenny]{fncychap} % pour des titres de chapitres différents ...
|
||||||
|
\usepackage{multicol} % pour mettre un \begin{multicols}...\end{multicols} et faire du multicolonnage localement dans une page
|
||||||
|
\usepackage{amsmath} % pour avoir beaucoup de symboles mathématiques et des alignements complexes
|
||||||
|
\usepackage{amssymb} % nécessaire pour avoir certains symboles mathématiques
|
||||||
|
\usepackage{amsfonts} % nécessaire pour avoir certains symboles mathématiques
|
||||||
|
%\usepackage{chappg} % numérotation par chapitre
|
||||||
|
\usepackage{epsfig} % pour inclure des fichiers .eps. Mais il semble que les modules graphics ou graphicx devraient le remplacer
|
||||||
|
\makeatother % pour refaire de @ une lettre différente des autres (exploitée dans des macros)
|
||||||
|
\usepackage{caption} % pour gérer encore mieux les légendes
|
||||||
|
\renewcommand{\captionfont}{\it \small} % pour avoir de l'italique pour le texte de légende
|
||||||
|
\renewcommand{\captionlabelfont}{\it \bf \small}
|
||||||
|
\DeclareCaptionLabelSeparator{endash}{ -- } % pour définir un tiret après le numéro des légentes
|
||||||
|
\captionsetup{labelsep=endash,justification=centering,belowskip=10pt} % pour avoir un petit trait après le no de légende
|
||||||
|
\usepackage{verbatim} % pour faire des commentaires longs \begin{comment}
|
||||||
|
\usepackage{endnotes} % pour faire des notes de fin
|
||||||
|
%\renewcommand{\theendnote}{\Roman{endnote}} % pour mettre les notes de fin en romain
|
||||||
|
\renewcommand{\thefootnote}{\alph{footnote}} % pour mettre les notes de bas de page en alphabétique
|
||||||
|
%\usepackage{apalike} % nécessaire pour que le style de bibliographie apalike soit correctement appliqué
|
||||||
|
% attention, le module apalike ne doit être utilisé qu'en anglais. Le titre bibliography est codé en dur à l'intérieur du module
|
||||||
|
\usepackage{natbib} % à utiliser impérativement avec apalike-fr pour parfaire les entrées
|
||||||
|
%\usepackage{textcomp} % pour mettre de beaux degrés
|
||||||
|
\usepackage{textcomp} % pour le symbole pourmille : \textperthousand (! pas en mode math) et pour le symbole de copyleft \textcopyleft
|
||||||
|
\usepackage{boites,boites_exemples} % pour faire des paragraphes encadrés sur plusieurs colonnes
|
||||||
|
\usepackage{textpos} % pour positionner du texte ou des images à une place très précise de la page.
|
||||||
|
\usepackage{floatflt} % pour placer des tableaux entourés de texte
|
||||||
|
\usepackage{nextpage} % pour retirer les entêtes de la dernière page vide d'un chapitre ;
|
||||||
|
\newcommand\myclearpage{\cleartooddpage[\thispagestyle{plain}]} % il faut ensuite placer \myclearpage à la fin de chaque chapitre.
|
||||||
|
\def\siecle#1{\textsc{\romannumeral #1}\textsuperscript{e}~siècle} % macro pour écrire les siècles : \siecle{19} par exemple
|
||||||
|
|
||||||
|
%\usepackage{showidx} % pour voir les entrées d'index dans la marge. ATTENTION : commenter avant la compilation.
|
||||||
|
|
||||||
|
%\usepackage{aeguill} % fontes utilisées par pdflatex (pour un pdf avec liens cliquables ; pas encore testé)
|
||||||
|
%\usepackage{hyperref} % pour faire des hyperréférences (pas encore testé)
|
||||||
|
%\hypersetup{colorlinks,citecolor=black,filecolor=black,linkcolor=black,urlcolor=black,pdftex} % pour définir la couleur des liens en noir, pour une meilleure impression (pas encore testé)
|
||||||
|
%\usepackage{unitsdef} % pour l'écriture des unités
|
||||||
|
\usepackage[derivedinbase,squaren,cdot,Gray]{SIunits} % pour utiliser des commandes relatives au unités du système internationnal ; il y a aussi les préfixes m M G ...
|
||||||
|
% le squaren est là pour éviter une incompatibilité avec le symbole ams de la racine.
|
||||||
|
% le derivedinbase est là pour fournir une traduction des unités SI dérivées en unités SI de base
|
||||||
|
%\usepackage{hepunits} % unités telles que Hz, eV, ...
|
||||||
|
%\usepackage{siunitx} % meilleure gestion des unités que siunits, mais incompatible avec celui-ci !
|
||||||
|
%\usepackage[fixlanguage]{babelbib} % pour avoir une bibliographie en français ou différentes entrées de langues différentes (pour cela il faut renseigner un champ de langue)
|
||||||
|
%\selectbiblanguage{french} % sélection de la langue (attention, pour apalike, il faut sélectionner apalike-fr)
|
||||||
|
\usepackage{lettrine} % pour mettre des lettrines
|
||||||
|
\usepackage{listings} % pour mettre du code informatique non interprété
|
||||||
|
\usepackage{xspace} % pour gérer les expaces nott. entre X et e pour les siècles
|
||||||
91
Preambule.tex~
Normal file
91
Preambule.tex~
Normal file
@ -0,0 +1,91 @@
|
|||||||
|
% Ce fichier constitue le préambule des différents cours de physique. Les définitions de modules propres à chaque cours se trouvent dans le préambule de ces cours. On trouve ici les définitions des modules communs.
|
||||||
|
% Ce fichier est appelé par chaque cours à travers l'instruction \input{../Preambule.tex}
|
||||||
|
% Attention, les modules précédés de trois commentaires : %%% sont en conflit avec le module vaucanson-g. C'est pourquoi il ont été retirés.
|
||||||
|
|
||||||
|
\usepackage[T1]{fontenc} % écrire avec les accents
|
||||||
|
\usepackage[utf8]{inputenc} % écrire avec les accents
|
||||||
|
%\usepackage{babel}
|
||||||
|
\usepackage[english,french]{babel} % pour le support des documents multilingues. Il vaut mieux mettre french là plutôt que dans le documentclass
|
||||||
|
% pour pouvoir gérer l'anglais ou autres langues.
|
||||||
|
%\usepackage{lmodern}
|
||||||
|
%\usepackage{geometry} % pour gérer les marges de la page
|
||||||
|
%\geometry{verbose,a4paper,lmargin=2cm,rmargin=2cm} % règle les marges de la page
|
||||||
|
|
||||||
|
\setcounter{tocdepth}{5} % pour définir la profondeur de la table des matières
|
||||||
|
\usepackage{makeidx} % pour permettre de construire un index
|
||||||
|
\makeindex % pour construire effectivement l'index
|
||||||
|
|
||||||
|
\makeatletter % pour faire de @ une lettre simple (et non un caractère associé à une macro interne
|
||||||
|
\usepackage{path} % pour mettre du code non interprété
|
||||||
|
\usepackage{fancybox} % pour faire des boites entourée de différents types de cadres
|
||||||
|
\usepackage{framed} % pour mettre des sortes de minipages encadrées sur plusieures pages, sur fond coloré
|
||||||
|
\usepackage[dvips]{color} % pour mettre du gris ou de la couleur dans les boites
|
||||||
|
%%%\usepackage{pst-grad} % pour faire des dégradés en pstricks (! il faut le mettre juste ici pour que cela fonctionne !)
|
||||||
|
\definecolor{shadecolor}{rgb}{.9,.9,.9} % pour définir la couleur de fond du package framed
|
||||||
|
\usepackage{boxedminipage} % pour mettre des bordures aux minipages
|
||||||
|
\usepackage{relsize,fancyvrb} % pour mettre des textes non interprétés encadrés et changer la taille des caractères à l'intérieur
|
||||||
|
\usepackage{array} % pour étendre les possiblités de tabular par défaut pour les tableaux
|
||||||
|
\usepackage{multirow} % pour faire une cellule de tableau sur plusieurs lignes
|
||||||
|
\usepackage{colortbl} % pour mettre de la couleur dans un tableau
|
||||||
|
\usepackage{hhline} % pour faire des filets spéciaux dans les tableaux
|
||||||
|
\usepackage{supertabular} % pour faire des tableaux sur plusieurs pages
|
||||||
|
\usepackage{float} % permet un placement obligatoire
|
||||||
|
\usepackage{url} % permet une bonne gestion de la césure des url
|
||||||
|
\usepackage{graphicx} % pour charger le module étendu graphicx du module graphics. Pour différents effets graphiques dont l'orientation et le redimentionnement des eps
|
||||||
|
%\usepackage{graphics} % idem que graphicx, mais sans orientation et redimentionnement
|
||||||
|
\usepackage{wrapfig} % pour mettre des figures dans le flot du texte
|
||||||
|
\usepackage{psfrag} % pour mettre des équations latex dans des figures (ne fonctionne qu'avec ps)
|
||||||
|
%%%\usepackage{pstricks} % pour étendre les possiblités de graphisme des figures de latex construite avec jpicedt
|
||||||
|
%\usepackage{pstricks-add} % plein de bug semble-t-il, mais aurait été utile
|
||||||
|
%\usepackage{pstcol}
|
||||||
|
\usepackage{multido} % pour répéter des figures en pstricks
|
||||||
|
%\usepackage[figuresright ou figuresleft]{rotating} % permet de faire tourner des figures \sidewaysfigure ou des textes \rotatebox dans un sens ou un autre
|
||||||
|
\usepackage{rotating} % permet de faire tourner des figures \sidewaysfigure ou des textes \rotatebox
|
||||||
|
\usepackage{subfigure} % pour faire des figures comprenant plusieures figures
|
||||||
|
\usepackage{fancyhdr} % pour des entêtes et pieds de page entièrement personnalisés
|
||||||
|
\usepackage{fancyvrb} % pour mettre des \verb dans les minipages
|
||||||
|
\usepackage[Lenny]{fncychap} % pour des titres de chapitres différents ...
|
||||||
|
\usepackage{multicol} % pour mettre un \begin{multicols}...\end{multicols} et faire du multicolonnage localement dans une page
|
||||||
|
\usepackage{amsmath} % pour avoir beaucoup de symboles mathématiques et des alignements complexes
|
||||||
|
\usepackage{amssymb} % nécessaire pour avoir certains symboles mathématiques
|
||||||
|
\usepackage{amsfonts} % nécessaire pour avoir certains symboles mathématiques
|
||||||
|
%\usepackage{chappg} % numérotation par chapitre
|
||||||
|
\usepackage{epsfig} % pour inclure des fichiers .eps. Mais il semble que les modules graphics ou graphicx devraient le remplacer
|
||||||
|
\makeatother % pour refaire de @ une lettre différente des autres (exploitée dans des macros)
|
||||||
|
\usepackage{caption} % pour gérer encore mieux les légendes
|
||||||
|
\renewcommand{\captionfont}{\it \small} % pour avoir de l'italique pour le texte de légende
|
||||||
|
\renewcommand{\captionlabelfont}{\it \bf \small}
|
||||||
|
\DeclareCaptionLabelSeparator{endash}{ -- } % pour définir un tiret après le numéro des légentes
|
||||||
|
\captionsetup{labelsep=endash,justification=centering,belowskip=10pt} % pour avoir un petit trait après le no de légende
|
||||||
|
\usepackage{verbatim} % pour faire des commentaires longs \begin{comment}
|
||||||
|
\usepackage{endnotes} % pour faire des notes de fin
|
||||||
|
%\renewcommand{\theendnote}{\Roman{endnote}} % pour mettre les notes de fin en romain
|
||||||
|
\renewcommand{\thefootnote}{\alph{footnote}} % pour mettre les notes de bas de page en alphabétique
|
||||||
|
%\usepackage{apalike} % nécessaire pour que le style de bibliographie apalike soit correctement appliqué
|
||||||
|
% attention, le module apalike ne doit être utilisé qu'en anglais. Le titre bibliography est codé en dur à l'intérieur du module
|
||||||
|
\usepackage{natbib} % à utiliser impérativement avec apalike-fr pour parfaire les entrées
|
||||||
|
%\usepackage{textcomp} % pour mettre de beaux degrés
|
||||||
|
\usepackage{textcomp} % pour le symbole pourmille : \textperthousand (! pas en mode math) et pour le symbole de copyleft \textcopyleft
|
||||||
|
%%%\usepackage{boites,boites_exemples} % pour faire des paragraphes encadrés sur plusieurs colonnes
|
||||||
|
\usepackage{textpos} % pour positionner du texte ou des images à une place très précise de la page.
|
||||||
|
%%\usepackage{floatflt} % pour placer des tableaux entourés de texte
|
||||||
|
\usepackage{nextpage} % pour retirer les entêtes de la dernière page vide d'un chapitre ;
|
||||||
|
\newcommand\myclearpage{\cleartooddpage[\thispagestyle{plain}]} % il faut ensuite placer \myclearpage à la fin de chaque chapitre.
|
||||||
|
\def\siecle#1{\textsc{\romannumeral #1}\textsuperscript{e}~siècle} % macro pour écrire les siècles : \siecle{19} par exemple
|
||||||
|
|
||||||
|
%\usepackage{showidx} % pour voir les entrées d'index dans la marge. ATTENTION : commenter avant la compilation.
|
||||||
|
|
||||||
|
%\usepackage{aeguill} % fontes utilisées par pdflatex (pour un pdf avec liens cliquables ; pas encore testé)
|
||||||
|
%\usepackage{hyperref} % pour faire des hyperréférences (pas encore testé)
|
||||||
|
%\hypersetup{colorlinks,citecolor=black,filecolor=black,linkcolor=black,urlcolor=black,pdftex} % pour définir la couleur des liens en noir, pour une meilleure impression (pas encore testé)
|
||||||
|
%\usepackage{unitsdef} % pour l'écriture des unités
|
||||||
|
\usepackage[derivedinbase,squaren,cdot,Gray]{SIunits} % pour utiliser des commandes relatives au unités du système internationnal ; il y a aussi les préfixes m M G ...
|
||||||
|
% le squaren est là pour éviter une incompatibilité avec le symbole ams de la racine.
|
||||||
|
% le derivedinbase est là pour fournir une traduction des unités SI dérivées en unités SI de base
|
||||||
|
%\usepackage{hepunits} % unités telles que Hz, eV, ...
|
||||||
|
%\usepackage{siunitx} % meilleure gestion des unités que siunits, mais incompatible avec celui-ci !
|
||||||
|
%\usepackage[fixlanguage]{babelbib} % pour avoir une bibliographie en français ou différentes entrées de langues différentes (pour cela il faut renseigner un champ de langue)
|
||||||
|
%\selectbiblanguage{french} % sélection de la langue (attention, pour apalike, il faut sélectionner apalike-fr)
|
||||||
|
\usepackage{lettrine} % pour mettre des lettrines
|
||||||
|
\usepackage{listings} % pour mettre du code informatique non interprété
|
||||||
|
\usepackage{xspace} % pour gérer les expaces nott. entre X et e pour les siècles
|
||||||
65
Python/Arbre1.py
Normal file
65
Python/Arbre1.py
Normal file
@ -0,0 +1,65 @@
|
|||||||
|
# -*- coding: utf-8 -*-
|
||||||
|
from turtle import *
|
||||||
|
|
||||||
|
# Génération de plante
|
||||||
|
|
||||||
|
def regle():
|
||||||
|
nbiteration = 5
|
||||||
|
longueur = 3
|
||||||
|
angle = 25.7
|
||||||
|
regle = 'F[+F]F[-F]F'
|
||||||
|
#regle = 'F+FF-FF-F-F+F+FF-F-F+F+FF+FF-F'
|
||||||
|
axiom = 'F'
|
||||||
|
i = 0
|
||||||
|
while i < nbiteration:
|
||||||
|
j = 0
|
||||||
|
axiom2 = ''
|
||||||
|
while j < len(axiom):
|
||||||
|
pointeur1 = axiom[j]
|
||||||
|
if pointeur1 == 'F':
|
||||||
|
axiom2 = axiom2 + regle
|
||||||
|
if pointeur1 == '+':
|
||||||
|
axiom2 = axiom2 + '+'
|
||||||
|
if pointeur1 == '-':
|
||||||
|
axiom2 = axiom2 + '-'
|
||||||
|
if pointeur1 == '[':
|
||||||
|
axiom2 = axiom2 + '['
|
||||||
|
if pointeur1 == ']':
|
||||||
|
axiom2 = axiom2 + ']'
|
||||||
|
j = j + 1
|
||||||
|
axiom = axiom2
|
||||||
|
i = i + 1
|
||||||
|
print axiom
|
||||||
|
k = 0
|
||||||
|
laposition = []
|
||||||
|
langle = []
|
||||||
|
while k < len(axiom):
|
||||||
|
pointeur2 = axiom[k]
|
||||||
|
if pointeur2 == 'F':
|
||||||
|
forward(longueur)
|
||||||
|
elif pointeur2 == '+':
|
||||||
|
left(angle)
|
||||||
|
elif pointeur2 == '-':
|
||||||
|
right(angle)
|
||||||
|
elif pointeur2 == '[':
|
||||||
|
laposition.append(position())
|
||||||
|
langle.append(heading())
|
||||||
|
elif pointeur2 == ']':
|
||||||
|
goto(laposition[len(laposition)-1][0], laposition[len(laposition)-1][1])
|
||||||
|
del laposition[len(laposition)-1]
|
||||||
|
setheading(langle[len(langle)-1])
|
||||||
|
del langle[len(langle)-1]
|
||||||
|
k = k + 1
|
||||||
|
|
||||||
|
up()
|
||||||
|
#left(180)
|
||||||
|
#forward(400)
|
||||||
|
#left(90)
|
||||||
|
#forward(200)
|
||||||
|
#left(90)
|
||||||
|
#down()
|
||||||
|
backward(495)
|
||||||
|
down()
|
||||||
|
regle()
|
||||||
|
|
||||||
|
#quit()
|
||||||
65
Python/Arbre2.py
Normal file
65
Python/Arbre2.py
Normal file
@ -0,0 +1,65 @@
|
|||||||
|
# -*- coding: utf-8 -*-
|
||||||
|
from turtle import *
|
||||||
|
|
||||||
|
# La courbe de KochIsland
|
||||||
|
|
||||||
|
def regle():
|
||||||
|
nbiteration = 5
|
||||||
|
longueur = 6
|
||||||
|
angle = 20
|
||||||
|
regle = 'F[+F]F[-F][F]'
|
||||||
|
#regle = 'F+FF-FF-F-F+F+FF-F-F+F+FF+FF-F'
|
||||||
|
axiom = 'F'
|
||||||
|
i = 0
|
||||||
|
while i < nbiteration:
|
||||||
|
j = 0
|
||||||
|
axiom2 = ''
|
||||||
|
while j < len(axiom):
|
||||||
|
pointeur1 = axiom[j]
|
||||||
|
if pointeur1 == 'F':
|
||||||
|
axiom2 = axiom2 + regle
|
||||||
|
if pointeur1 == '+':
|
||||||
|
axiom2 = axiom2 + '+'
|
||||||
|
if pointeur1 == '-':
|
||||||
|
axiom2 = axiom2 + '-'
|
||||||
|
if pointeur1 == '[':
|
||||||
|
axiom2 = axiom2 + '['
|
||||||
|
if pointeur1 == ']':
|
||||||
|
axiom2 = axiom2 + ']'
|
||||||
|
j = j + 1
|
||||||
|
axiom = axiom2
|
||||||
|
i = i + 1
|
||||||
|
print axiom
|
||||||
|
k = 0
|
||||||
|
laposition = []
|
||||||
|
langle = []
|
||||||
|
while k < len(axiom):
|
||||||
|
pointeur2 = axiom[k]
|
||||||
|
if pointeur2 == 'F':
|
||||||
|
forward(longueur)
|
||||||
|
elif pointeur2 == '+':
|
||||||
|
left(angle)
|
||||||
|
elif pointeur2 == '-':
|
||||||
|
right(angle)
|
||||||
|
elif pointeur2 == '[':
|
||||||
|
laposition.append(position())
|
||||||
|
langle.append(heading())
|
||||||
|
elif pointeur2 == ']':
|
||||||
|
goto(laposition[len(laposition)-1][0], laposition[len(laposition)-1][1])
|
||||||
|
del laposition[len(laposition)-1]
|
||||||
|
setheading(langle[len(langle)-1])
|
||||||
|
del langle[len(langle)-1]
|
||||||
|
k = k + 1
|
||||||
|
|
||||||
|
up()
|
||||||
|
#left(180)
|
||||||
|
#forward(400)
|
||||||
|
#left(90)
|
||||||
|
#forward(200)
|
||||||
|
#left(90)
|
||||||
|
#down()
|
||||||
|
backward(495)
|
||||||
|
down()
|
||||||
|
regle()
|
||||||
|
|
||||||
|
#quit()
|
||||||
93
Python/ArbreFonctionnel.py
Normal file
93
Python/ArbreFonctionnel.py
Normal file
@ -0,0 +1,93 @@
|
|||||||
|
# -*- coding: utf-8 -*-
|
||||||
|
from turtle import *
|
||||||
|
|
||||||
|
# Génération de plante par grammaire L-system
|
||||||
|
|
||||||
|
def initialisation():
|
||||||
|
# Définition des variables indépendantes de la grammaire
|
||||||
|
global nbiteration, longueur
|
||||||
|
nbiteration = 5
|
||||||
|
longueur = 3
|
||||||
|
|
||||||
|
def grammaire():
|
||||||
|
# Définition de la grammaire
|
||||||
|
angle = 25.7
|
||||||
|
axiom = 'F'
|
||||||
|
regle = 'F[+F]F[-F]F'
|
||||||
|
#regle = 'F+FF-FF-F-F+F+FF-F-F+F+FF+FF-F'
|
||||||
|
return angle, axiom, regle
|
||||||
|
|
||||||
|
def production(axiom, regle):
|
||||||
|
# Génération de la chaine de caractères
|
||||||
|
i = 0
|
||||||
|
while i < nbiteration:
|
||||||
|
j = 0
|
||||||
|
axiom2 = ''
|
||||||
|
while j < len(axiom):
|
||||||
|
pointeur1 = axiom[j]
|
||||||
|
|
||||||
|
# Symboles non terminaux
|
||||||
|
if pointeur1 == 'F':
|
||||||
|
# remplacement de la règle dans l'axiome
|
||||||
|
axiom2 = axiom2 + regle
|
||||||
|
|
||||||
|
# Symboles terminaux
|
||||||
|
if pointeur1 == '+':
|
||||||
|
axiom2 = axiom2 + '+'
|
||||||
|
if pointeur1 == '-':
|
||||||
|
axiom2 = axiom2 + '-'
|
||||||
|
if pointeur1 == '[':
|
||||||
|
axiom2 = axiom2 + '['
|
||||||
|
if pointeur1 == ']':
|
||||||
|
axiom2 = axiom2 + ']'
|
||||||
|
|
||||||
|
j = j + 1
|
||||||
|
axiom = axiom2
|
||||||
|
i = i + 1
|
||||||
|
print axiom
|
||||||
|
return axiom
|
||||||
|
|
||||||
|
def interpretation(angle, axiom):
|
||||||
|
# Interprétation de la chaine par turtle
|
||||||
|
k = 0
|
||||||
|
laposition = []
|
||||||
|
langle = []
|
||||||
|
while k < len(axiom):
|
||||||
|
pointeur2 = axiom[k]
|
||||||
|
|
||||||
|
# Interpréation
|
||||||
|
if pointeur2 == 'F':
|
||||||
|
forward(longueur)
|
||||||
|
elif pointeur2 == '+':
|
||||||
|
left(angle)
|
||||||
|
elif pointeur2 == '-':
|
||||||
|
right(angle)
|
||||||
|
elif pointeur2 == '[':
|
||||||
|
# mémorisation de la position courante
|
||||||
|
laposition.append(position())
|
||||||
|
langle.append(heading())
|
||||||
|
elif pointeur2 == ']':
|
||||||
|
# retour à la dernière position et suppression de celle-ci
|
||||||
|
goto(laposition[len(laposition)-1][0], laposition[len(laposition)-1][1])
|
||||||
|
del laposition[len(laposition)-1]
|
||||||
|
setheading(langle[len(langle)-1])
|
||||||
|
del langle[len(langle)-1]
|
||||||
|
|
||||||
|
k = k + 1
|
||||||
|
|
||||||
|
# Placement initial de la tortue
|
||||||
|
up()
|
||||||
|
backward(400)
|
||||||
|
down()
|
||||||
|
|
||||||
|
# Programme principal
|
||||||
|
## gram[0] retourne l'angle
|
||||||
|
## gram[1] retourne l'axiome
|
||||||
|
## gram[2] retourne la règle
|
||||||
|
|
||||||
|
initialisation()
|
||||||
|
gram = grammaire()
|
||||||
|
axio = production(gram[1], gram[2])
|
||||||
|
interpretation(gram[0], axio)
|
||||||
|
|
||||||
|
#quit()
|
||||||
132
Python/ArbreFonctionnel2.py
Normal file
132
Python/ArbreFonctionnel2.py
Normal file
@ -0,0 +1,132 @@
|
|||||||
|
# -*- coding: utf-8 -*-
|
||||||
|
from turtle import *
|
||||||
|
|
||||||
|
# Génération de plante par grammaire L-system
|
||||||
|
|
||||||
|
def initialisation():
|
||||||
|
# Définition des variables indépendantes de la grammaire
|
||||||
|
global nbiteration, longueur
|
||||||
|
# Pour le flocon de Koch
|
||||||
|
nbiteration = 3
|
||||||
|
longueur = 2
|
||||||
|
|
||||||
|
# Pour le flocon de Koch Island
|
||||||
|
#nbiteration = 3
|
||||||
|
#longueur = 2
|
||||||
|
|
||||||
|
# Pour la plante
|
||||||
|
#nbiteration = 5
|
||||||
|
#longueur = 5
|
||||||
|
|
||||||
|
# Pour la plante 2
|
||||||
|
#nbiteration = 5
|
||||||
|
#longueur = 5
|
||||||
|
|
||||||
|
# Pour la plante 3
|
||||||
|
#nbiteration = 5
|
||||||
|
#longueur = 3
|
||||||
|
|
||||||
|
def grammaire():
|
||||||
|
# Définition de la grammaire
|
||||||
|
# Pour le flocon de Koch
|
||||||
|
angle = 90
|
||||||
|
axiom = 'F-F-F-F'
|
||||||
|
regle = 'F+F-F-F+F'
|
||||||
|
|
||||||
|
# Pour le flocon de Koch Island
|
||||||
|
#angle = 90
|
||||||
|
#axiom = 'F-F-F-F'
|
||||||
|
#regle = 'F-F+F+FF-F-F+F'
|
||||||
|
|
||||||
|
# Pour la plante
|
||||||
|
#angle = 25.7
|
||||||
|
#axiom = 'F'
|
||||||
|
#regle = 'F[+F]F[-F]F'
|
||||||
|
|
||||||
|
# Pour la plante 2
|
||||||
|
#angle = 20
|
||||||
|
#axiom = 'F'
|
||||||
|
#regle = 'F[+F]F[-F][F]'
|
||||||
|
|
||||||
|
# Pour la plante 3
|
||||||
|
#angle = 22.5
|
||||||
|
#axiom = 'F'
|
||||||
|
#regle = 'FF-[-F+F+F]+[+F-F-F]'
|
||||||
|
return angle, axiom, regle
|
||||||
|
|
||||||
|
def production(axiom, regle):
|
||||||
|
# Génération de la chaine de caractères
|
||||||
|
i = 0
|
||||||
|
while i < nbiteration:
|
||||||
|
j = 0
|
||||||
|
axiom2 = ''
|
||||||
|
while j < len(axiom):
|
||||||
|
pointeur1 = axiom[j]
|
||||||
|
|
||||||
|
# Symboles non terminaux
|
||||||
|
if pointeur1 == 'F':
|
||||||
|
# remplacement de la règle dans l'axiome
|
||||||
|
axiom2 = axiom2 + regle
|
||||||
|
|
||||||
|
# Symboles terminaux
|
||||||
|
if pointeur1 == '+':
|
||||||
|
axiom2 = axiom2 + '+'
|
||||||
|
if pointeur1 == '-':
|
||||||
|
axiom2 = axiom2 + '-'
|
||||||
|
if pointeur1 == '[':
|
||||||
|
axiom2 = axiom2 + '['
|
||||||
|
if pointeur1 == ']':
|
||||||
|
axiom2 = axiom2 + ']'
|
||||||
|
|
||||||
|
j = j + 1
|
||||||
|
axiom = axiom2
|
||||||
|
i = i + 1
|
||||||
|
print axiom
|
||||||
|
return axiom
|
||||||
|
|
||||||
|
def interpretation(angle, axiom):
|
||||||
|
# Interprétation de la chaine par turtle
|
||||||
|
k = 0
|
||||||
|
laposition = []
|
||||||
|
langle = []
|
||||||
|
while k < len(axiom):
|
||||||
|
pointeur2 = axiom[k]
|
||||||
|
|
||||||
|
# Interpréation
|
||||||
|
if pointeur2 == 'F':
|
||||||
|
forward(longueur)
|
||||||
|
elif pointeur2 == '+':
|
||||||
|
left(angle)
|
||||||
|
elif pointeur2 == '-':
|
||||||
|
right(angle)
|
||||||
|
elif pointeur2 == '[':
|
||||||
|
# mémorisation de la position courante
|
||||||
|
laposition.append(position())
|
||||||
|
langle.append(heading())
|
||||||
|
elif pointeur2 == ']':
|
||||||
|
# retour à la dernière position et suppression de celle-ci
|
||||||
|
up()
|
||||||
|
goto(laposition[len(laposition)-1][0], laposition[len(laposition)-1][1])
|
||||||
|
del laposition[len(laposition)-1]
|
||||||
|
setheading(langle[len(langle)-1])
|
||||||
|
del langle[len(langle)-1]
|
||||||
|
down()
|
||||||
|
|
||||||
|
k = k + 1
|
||||||
|
|
||||||
|
# Placement initial de la tortue
|
||||||
|
up()
|
||||||
|
backward(400)
|
||||||
|
down()
|
||||||
|
|
||||||
|
# Programme principal
|
||||||
|
## gram[0] retourne l'angle
|
||||||
|
## gram[1] retourne l'axiome
|
||||||
|
## gram[2] retourne la règle
|
||||||
|
|
||||||
|
initialisation()
|
||||||
|
gram = grammaire()
|
||||||
|
axio = production(gram[1], gram[2])
|
||||||
|
interpretation(gram[0], axio)
|
||||||
|
|
||||||
|
#quit()
|
||||||
192
Python/ArbreFonctionnel3.py
Normal file
192
Python/ArbreFonctionnel3.py
Normal file
@ -0,0 +1,192 @@
|
|||||||
|
# -*- coding: utf-8 -*-
|
||||||
|
from turtle import *
|
||||||
|
|
||||||
|
# Génération de plante par grammaire L-system
|
||||||
|
|
||||||
|
def initialisation():
|
||||||
|
# Définition des variables indépendantes de la grammaire
|
||||||
|
global nbiteration, longueur
|
||||||
|
# Pour le flocon de Koch
|
||||||
|
#nbiteration = 3
|
||||||
|
#longueur = 2
|
||||||
|
|
||||||
|
# Pour le flocon de Koch Island
|
||||||
|
#nbiteration = 3
|
||||||
|
#longueur = 2
|
||||||
|
|
||||||
|
# Pour la plante
|
||||||
|
#nbiteration = 5
|
||||||
|
#longueur = 5
|
||||||
|
|
||||||
|
# Pour la plante 2
|
||||||
|
#nbiteration = 5
|
||||||
|
#longueur = 5
|
||||||
|
|
||||||
|
# Pour la plante 3
|
||||||
|
#nbiteration = 4
|
||||||
|
#longueur = 8
|
||||||
|
|
||||||
|
# Pour la plante 4
|
||||||
|
#nbiteration = 7
|
||||||
|
#longueur = 1
|
||||||
|
|
||||||
|
# Pour la plante 5
|
||||||
|
#nbiteration = 7
|
||||||
|
#longueur = 1
|
||||||
|
|
||||||
|
# Pour la plante 6
|
||||||
|
nbiteration = 5
|
||||||
|
longueur = 4
|
||||||
|
|
||||||
|
def grammaire():
|
||||||
|
# Définition de la grammaire
|
||||||
|
# Pour le flocon de Koch
|
||||||
|
#angle = 90
|
||||||
|
#axiom = 'F-F-F-F'
|
||||||
|
#regle = 'F+F-F-F+F'
|
||||||
|
|
||||||
|
# Pour le flocon de Koch Island
|
||||||
|
#angle = 90
|
||||||
|
#axiom = 'F-F-F-F'
|
||||||
|
#regle = 'F-F+F+FF-F-F+F'
|
||||||
|
|
||||||
|
# Pour la plante
|
||||||
|
#angle = 25.7
|
||||||
|
#axiom = 'F'
|
||||||
|
#regle = 'F[+F]F[-F]F'
|
||||||
|
|
||||||
|
# Pour la plante 2
|
||||||
|
#angle = 20
|
||||||
|
#axiom = 'F'
|
||||||
|
#regle = 'F[+F]F[-F][F]'
|
||||||
|
|
||||||
|
# Pour la plante 3
|
||||||
|
#angle = 22.5
|
||||||
|
#axiom = 'F'
|
||||||
|
#regle = 'FF-[-F+F+F]+[+F-F-F]'
|
||||||
|
|
||||||
|
# Pour la plante 4
|
||||||
|
#angle = 20
|
||||||
|
#axiom = 'X'
|
||||||
|
#regle1 = 'F[+X]F[-X]+X'
|
||||||
|
#regle2 = 'FF'
|
||||||
|
|
||||||
|
# Pour la plante 5
|
||||||
|
angle = 25.7
|
||||||
|
axiom = 'X'
|
||||||
|
regle1 = 'F[+X][-X]FX'
|
||||||
|
regle2 = 'FF'
|
||||||
|
|
||||||
|
# Pour la plante 6
|
||||||
|
angle = 22.5
|
||||||
|
axiom = 'X'
|
||||||
|
regle1 = 'F-[[X]+X]+F[+FX]-X'
|
||||||
|
regle2 = 'FF'
|
||||||
|
|
||||||
|
return angle, axiom, regle1, regle2
|
||||||
|
|
||||||
|
def production(axiom, regle1, regle2):
|
||||||
|
# Génération de la chaine de caractères
|
||||||
|
i = 0
|
||||||
|
while i < nbiteration:
|
||||||
|
j = 0
|
||||||
|
axiom2 = ''
|
||||||
|
while j < len(axiom):
|
||||||
|
pointeur1 = axiom[j]
|
||||||
|
|
||||||
|
# Symboles non terminaux
|
||||||
|
if pointeur1 == 'X':
|
||||||
|
# remplacement de la règle dans l'axiome
|
||||||
|
axiom2 = axiom2 + regle1
|
||||||
|
|
||||||
|
# Symboles terminaux
|
||||||
|
if pointeur1 == '+':
|
||||||
|
axiom2 = axiom2 + '+'
|
||||||
|
if pointeur1 == '-':
|
||||||
|
axiom2 = axiom2 + '-'
|
||||||
|
if pointeur1 == '[':
|
||||||
|
axiom2 = axiom2 + '['
|
||||||
|
if pointeur1 == ']':
|
||||||
|
axiom2 = axiom2 + ']'
|
||||||
|
if pointeur1 == 'F':
|
||||||
|
axiom2 = axiom2 + 'F'
|
||||||
|
|
||||||
|
j = j + 1
|
||||||
|
axiom = axiom2
|
||||||
|
print axiom
|
||||||
|
|
||||||
|
m = 0
|
||||||
|
axiom3 = ''
|
||||||
|
while m < len(axiom):
|
||||||
|
pointeur2 = axiom[m]
|
||||||
|
|
||||||
|
# Symboles non terminaux
|
||||||
|
if pointeur2 == 'F':
|
||||||
|
# remplacement de la règle dans l'axiome
|
||||||
|
axiom3 = axiom3 + regle2
|
||||||
|
|
||||||
|
# Symboles terminaux
|
||||||
|
if pointeur2 == '+':
|
||||||
|
axiom3 = axiom3 + '+'
|
||||||
|
if pointeur2 == '-':
|
||||||
|
axiom3 = axiom3 + '-'
|
||||||
|
if pointeur2 == '[':
|
||||||
|
axiom3 = axiom3 + '['
|
||||||
|
if pointeur2 == ']':
|
||||||
|
axiom3 = axiom3 + ']'
|
||||||
|
if pointeur2 == 'X':
|
||||||
|
axiom3 = axiom3 + 'X'
|
||||||
|
|
||||||
|
m = m + 1
|
||||||
|
axiom = axiom3
|
||||||
|
i = i + 1
|
||||||
|
|
||||||
|
print axiom
|
||||||
|
return axiom
|
||||||
|
|
||||||
|
def interpretation(angle, axiom):
|
||||||
|
# Interprétation de la chaine par turtle
|
||||||
|
k = 0
|
||||||
|
laposition = []
|
||||||
|
langle = []
|
||||||
|
while k < len(axiom):
|
||||||
|
pointeur2 = axiom[k]
|
||||||
|
|
||||||
|
# Interpréation
|
||||||
|
if pointeur2 == 'F':
|
||||||
|
forward(longueur)
|
||||||
|
elif pointeur2 == '+':
|
||||||
|
left(angle)
|
||||||
|
elif pointeur2 == '-':
|
||||||
|
right(angle)
|
||||||
|
elif pointeur2 == '[':
|
||||||
|
# mémorisation de la position courante
|
||||||
|
laposition.append(position())
|
||||||
|
langle.append(heading())
|
||||||
|
elif pointeur2 == ']':
|
||||||
|
# retour à la dernière position et suppression de celle-ci
|
||||||
|
up()
|
||||||
|
goto(laposition[len(laposition)-1][0], laposition[len(laposition)-1][1])
|
||||||
|
del laposition[len(laposition)-1]
|
||||||
|
setheading(langle[len(langle)-1])
|
||||||
|
del langle[len(langle)-1]
|
||||||
|
down()
|
||||||
|
|
||||||
|
k = k + 1
|
||||||
|
|
||||||
|
# Placement initial de la tortue
|
||||||
|
up()
|
||||||
|
backward(400)
|
||||||
|
down()
|
||||||
|
|
||||||
|
# Programme principal
|
||||||
|
## gram[0] retourne l'angle
|
||||||
|
## gram[1] retourne l'axiome
|
||||||
|
## gram[2] retourne la règle
|
||||||
|
|
||||||
|
initialisation()
|
||||||
|
gram = grammaire()
|
||||||
|
axio = production(gram[1], gram[2], gram[3])
|
||||||
|
interpretation(gram[0], axio)
|
||||||
|
|
||||||
|
#quit()
|
||||||
49
Python/ArbreRecursif1.py
Normal file
49
Python/ArbreRecursif1.py
Normal file
@ -0,0 +1,49 @@
|
|||||||
|
# -*- coding: utf-8 -*-
|
||||||
|
from turtle import *
|
||||||
|
|
||||||
|
# Génération de plante par grammaire L-system
|
||||||
|
|
||||||
|
def initialisation():
|
||||||
|
# Définition des variables indépendantes de la grammaire
|
||||||
|
# Pour le flocon de Koch
|
||||||
|
nbiteration = 3
|
||||||
|
longueur = 200
|
||||||
|
angle = 45
|
||||||
|
axiome = 'F'
|
||||||
|
regle = 'F+F--F+F'
|
||||||
|
return nbiteration, longueur, angle, axiome, regle
|
||||||
|
|
||||||
|
def production(nbiteration, longueur, angle, axiome, regle):
|
||||||
|
if nbiteration == 0 :
|
||||||
|
forward(longueur)
|
||||||
|
else:
|
||||||
|
i = 0
|
||||||
|
while i < len(regle):
|
||||||
|
regle1 = regle[i]
|
||||||
|
if regle1 == 'F':
|
||||||
|
production(nbiteration-1, longueur/3, angle, axiome, regle)
|
||||||
|
if regle1 == '+':
|
||||||
|
left(angle)
|
||||||
|
if regle1 == '-':
|
||||||
|
right(angle)
|
||||||
|
i = i + 1
|
||||||
|
|
||||||
|
# Placement initial de la tortue
|
||||||
|
up()
|
||||||
|
backward(200)
|
||||||
|
down()
|
||||||
|
|
||||||
|
# Programme principal
|
||||||
|
## init[1] : nbiteration
|
||||||
|
## init[2] : longueur
|
||||||
|
## init[3] : angle
|
||||||
|
## init[4] : axiome
|
||||||
|
## init[5] : regle
|
||||||
|
init = initialisation()
|
||||||
|
production(init[0], init[1], init[2], init[3], init[4])
|
||||||
|
right(120)
|
||||||
|
production(init[0], init[1], init[2], init[3], init[4])
|
||||||
|
right(120)
|
||||||
|
production(init[0], init[1], init[2], init[3], init[4])
|
||||||
|
|
||||||
|
#quit()
|
||||||
45
Python/ArbreRecursif2.py
Normal file
45
Python/ArbreRecursif2.py
Normal file
@ -0,0 +1,45 @@
|
|||||||
|
# -*- coding: utf-8 -*-
|
||||||
|
from turtle import *
|
||||||
|
|
||||||
|
# Génération de plante par grammaire L-system
|
||||||
|
|
||||||
|
def initialisation():
|
||||||
|
# Définition des variables indépendantes de la grammaire
|
||||||
|
# Pour le flocon de Koch
|
||||||
|
nbiteration = 3
|
||||||
|
longueur = 200
|
||||||
|
angle = 90
|
||||||
|
axiome = 'F'
|
||||||
|
regle = 'F+F-F-F+F'
|
||||||
|
return nbiteration, longueur, angle, axiome, regle
|
||||||
|
|
||||||
|
def production(nbiteration, longueur, angle, axiome, regle):
|
||||||
|
if nbiteration == 0 :
|
||||||
|
forward(longueur)
|
||||||
|
else:
|
||||||
|
i = 0
|
||||||
|
while i < len(regle):
|
||||||
|
regle1 = regle[i]
|
||||||
|
if regle1 == 'F':
|
||||||
|
production(nbiteration-1, longueur/3, angle, axiome, regle)
|
||||||
|
if regle1 == '+':
|
||||||
|
left(angle)
|
||||||
|
if regle1 == '-':
|
||||||
|
right(angle)
|
||||||
|
i = i + 1
|
||||||
|
|
||||||
|
# Placement initial de la tortue
|
||||||
|
up()
|
||||||
|
backward(200)
|
||||||
|
down()
|
||||||
|
|
||||||
|
# Programme principal
|
||||||
|
## init[1] : nbiteration
|
||||||
|
## init[2] : longueur
|
||||||
|
## init[3] : angle
|
||||||
|
## init[4] : axiome
|
||||||
|
## init[5] : regle
|
||||||
|
init = initialisation()
|
||||||
|
production(init[0], init[1], init[2], init[3], init[4])
|
||||||
|
|
||||||
|
#quit()
|
||||||
45
Python/ArbreRecursif3.py
Normal file
45
Python/ArbreRecursif3.py
Normal file
@ -0,0 +1,45 @@
|
|||||||
|
# -*- coding: utf-8 -*-
|
||||||
|
from turtle import *
|
||||||
|
|
||||||
|
# Génération de plante par grammaire L-system
|
||||||
|
|
||||||
|
def initialisation():
|
||||||
|
# Définition des variables indépendantes de la grammaire
|
||||||
|
# Pour le flocon de Koch
|
||||||
|
nbiteration = 3
|
||||||
|
longueur = 200
|
||||||
|
angle = 90
|
||||||
|
axiome = 'F-F-F-F'
|
||||||
|
regle = 'FF-F+F-F-FF'
|
||||||
|
return nbiteration, longueur, angle, axiome, regle
|
||||||
|
|
||||||
|
def production(nbiteration, longueur, angle, axiome, regle):
|
||||||
|
if nbiteration == 0 :
|
||||||
|
forward(longueur)
|
||||||
|
else:
|
||||||
|
i = 0
|
||||||
|
while i < len(regle):
|
||||||
|
regle1 = regle[i]
|
||||||
|
if regle1 == 'F':
|
||||||
|
production(nbiteration-1, longueur/3, angle, axiome, regle)
|
||||||
|
if regle1 == '+':
|
||||||
|
left(angle)
|
||||||
|
if regle1 == '-':
|
||||||
|
right(angle)
|
||||||
|
i = i + 1
|
||||||
|
|
||||||
|
# Placement initial de la tortue
|
||||||
|
up()
|
||||||
|
backward(200)
|
||||||
|
down()
|
||||||
|
|
||||||
|
# Programme principal
|
||||||
|
## init[1] : nbiteration
|
||||||
|
## init[2] : longueur
|
||||||
|
## init[3] : angle
|
||||||
|
## init[4] : axiome
|
||||||
|
## init[5] : regle
|
||||||
|
init = initialisation()
|
||||||
|
production(init[0], init[1], init[2], init[3], init[4])
|
||||||
|
|
||||||
|
#quit()
|
||||||
98
Solutions.tex
Normal file
98
Solutions.tex
Normal file
@ -0,0 +1,98 @@
|
|||||||
|
\begin{Solution}{1}
|
||||||
|
L'alphabet des chiffres binaires est : \(\Sigma=\{0,1\}\) et le langage des nombres binaires à trois chiffres est :
|
||||||
|
\[L=\{000,001,010,011,100,101,110,111\}\]
|
||||||
|
|
||||||
|
\end{Solution}
|
||||||
|
\begin{Solution}{2}
|
||||||
|
En considérant les quatre nucléotides composant l'ADN, la thymine (T), la cytosine (C), l'adénine (A) et la guanine (G), on peut définir l'alphabet nécessaire ainsi :
|
||||||
|
\[\Sigma=\{A,C,G,T\}\]
|
||||||
|
Les codons sont quant à eux des ensemble de trois nucléotides, pris parmi les quatre disponibles dans l'alphabet. Le langage ainsi formé est :
|
||||||
|
\[L=\{AAC,ACT,ACT,CTG,GTC, \dots\}\]
|
||||||
|
et la combinatoire donne pour un arrangement avec répétition de trois éléments pris parmi quatre :
|
||||||
|
\[\overline{A_3^4}=4^3=64\;\text{possibilités}\]
|
||||||
|
|
||||||
|
\end{Solution}
|
||||||
|
\begin{Solution}{3}
|
||||||
|
Il s'agit d'un automate simple sans grande difficultés. Il est déterministe puisque de chaque état ne part qu'une seule transition de même type.
|
||||||
|
\begin{center}
|
||||||
|
\begin{postscript}
|
||||||
|
\VCDraw{%
|
||||||
|
\begin{VCPicture}{(0,-2)(6,4)}
|
||||||
|
% states
|
||||||
|
\State[e_1]{(0,0)}{A} \State[e_2]{(2,1)}{B} \State[e_3]{(4,1)}{C}
|
||||||
|
\State[e_5]{(4,3)}{E}
|
||||||
|
\State[e_8]{(2,-1)}{G} \State[e_9]{(4,-1)}{H}
|
||||||
|
\StateLineDouble \State[e_{10}]{(6,-1)}{I} \State[e_4]{(6,1)}{D} \State[e_6]{(6,3)}{F}
|
||||||
|
% initial--final
|
||||||
|
\Initial{A}
|
||||||
|
% transitions
|
||||||
|
\EdgeL{A}{B}{a} \EdgeL{B}{C}{a} \EdgeL{C}{D}{b}
|
||||||
|
\EdgeL{B}{E}{b} \EdgeL{E}{F}{b}
|
||||||
|
\EdgeL{A}{G}{b} \EdgeL{G}{H}{b} \EdgeL{H}{I}{b}
|
||||||
|
%
|
||||||
|
\end{VCPicture}}
|
||||||
|
\end{postscript}
|
||||||
|
\end{center}
|
||||||
|
|
||||||
|
\end{Solution}
|
||||||
|
\begin{Solution}{4}
|
||||||
|
Le problème peut sembler complexe car l'énoncé du mot allumé fait immédiatement penser à éteint. Naturellement, on pense à un état allumé et à un autre éteint. Comme il y a trois couleurs, on s'imagine alors six états et leur représentation avec des transitions du type ``s'allume'' ou ``s'éteint'' ne va pas de soit.
|
||||||
|
|
||||||
|
Pour s'en sortir simplement, il faut au contraire penser ``quel est la couleur du feu''. Cela suppose qu'on ne considère que l'état allumé du feu. On peut alors dire rouge, puis jaune, puis vert, puis rouge, \dots On pourrait aussi dire, c'est le rouge qui s'allume, puis c'est le jaune qui s'allume, puis \dots Cela nous permet alors de représenter la succession des états allumé du feu par :
|
||||||
|
\begin{center}
|
||||||
|
\begin{postscript}
|
||||||
|
\VCDraw{%
|
||||||
|
\begin{VCPicture}{(0,-3)(11,1)}
|
||||||
|
% states
|
||||||
|
\State[r]{(0,0)}{A} \State[j]{(4,0)}{B} \State[v]{(2,-2)}{C}
|
||||||
|
\State{(7,0)}{D} \State{(11,0)}{E} \State{(9,-2)}{F}
|
||||||
|
% initial--final
|
||||||
|
\Initial{A} \Initial{D}
|
||||||
|
% transitions
|
||||||
|
\EdgeL{A}{B}{} \EdgeR{B}{C}{} \EdgeR{C}{A}{}
|
||||||
|
\EdgeL{D}{E}{r} \EdgeR{E}{F}{j} \EdgeR{F}{D}{v}
|
||||||
|
%
|
||||||
|
\end{VCPicture}}
|
||||||
|
\end{postscript}
|
||||||
|
\end{center}
|
||||||
|
En particulier, l'automate ci-dessus permet la reconnaissance de la chaîne de caractère rjvrjvrjv\dots{} qui est une représentation de la succession des couleurs (allumées) du feu de circulation.
|
||||||
|
|
||||||
|
\end{Solution}
|
||||||
|
\begin{Solution}{5}
|
||||||
|
On a vu qu'il y a 64 possibilités pour former un acide aminé constitué d'un triplet choisi parmi quatre nucléotides. Il peut sembler alors que l'automate correspondant doive être très complexe. Mais au contraire, en raison du fait qu'on peut mettre n'importe quel nucléotide à chaque place parmi les trois disponibles nous permet de constituer un automate particulièrement simple :
|
||||||
|
\begin{center}
|
||||||
|
\begin{postscript}
|
||||||
|
\VCDraw{%
|
||||||
|
\begin{VCPicture}{(0,-1)(8,1)}
|
||||||
|
% states
|
||||||
|
\State{(0,0)}{A} \State{(4,0)}{B} \State{(8,0)}{C}
|
||||||
|
\StateLineDouble \State{(12,0)}{D}
|
||||||
|
% initial--final
|
||||||
|
\Initial{A}
|
||||||
|
% transitions
|
||||||
|
\EdgeL{A}{B}{C|G|T|U} \EdgeR{B}{C}{C|G|T|U} \EdgeR{C}{D}{C|G|T|U}
|
||||||
|
%
|
||||||
|
\end{VCPicture}}
|
||||||
|
\end{postscript}
|
||||||
|
\end{center}
|
||||||
|
où la notation C|G|T|U signifie soit C, soit G, soit T, soit U.
|
||||||
|
|
||||||
|
\smallskip
|
||||||
|
On constate ainsi la concision de la description de l'automate par rapport à l'exposé de tout les cas possibles.
|
||||||
|
|
||||||
|
\end{Solution}
|
||||||
|
\begin{Solution}{6}
|
||||||
|
On doit tout d'abord faire un b, puis un nombre quelconque (voir nul) de b. Comme l'état de droite n'est pas final, il faut ensuite revenir à celui de gauche par un a. Enfin, on peut faire tout cela un nombre quelconque de fois, y compris aucune. L'expression rationnelle correspondante est :
|
||||||
|
\[(bb^*a)^*\]
|
||||||
|
|
||||||
|
\end{Solution}
|
||||||
|
\begin{Solution}{7}
|
||||||
|
De manière très naturelle, on a :
|
||||||
|
\[[A..Z]\{2\}[0..9]\{5\}\]
|
||||||
|
|
||||||
|
\end{Solution}
|
||||||
|
\begin{Solution}{8}
|
||||||
|
Il faut raisonner à partir de la dernière transition avant l'état final. Il s'agit toujours d'une transition b. Donc, l'expression régulière finira par un b. Puis, on a soit deux b, soit un a suivi d'un a ou b. Cela se traduit par :
|
||||||
|
\[(bb|a(a|b))b\]
|
||||||
|
|
||||||
|
\end{Solution}
|
||||||
2636
algorithm2e.sty
Normal file
2636
algorithm2e.sty
Normal file
File diff suppressed because it is too large
Load Diff
661
algorithme.sty
Normal file
661
algorithme.sty
Normal file
@ -0,0 +1,661 @@
|
|||||||
|
%% Package algorithme.tex (version 2.4)
|
||||||
|
%% Envoyer toutes remarques a Nicolas.Delestre@insa-rouen.fr
|
||||||
|
|
||||||
|
% Modifications depuis la version 2.3.8
|
||||||
|
% * Ajout de la commande \tadOperationAvecPreconditions
|
||||||
|
% * Ajout des environnement tadPreconditions et des commandes
|
||||||
|
% \motclefTADPreconditions et \tadPrecondition
|
||||||
|
% * Ajout de la commande \champ
|
||||||
|
|
||||||
|
|
||||||
|
% Modifications depuis la version 2.3.7
|
||||||
|
% * Ajout des types de base naturelNonNul, reelPositif, reelPositifNonNul (resp Negatif)
|
||||||
|
% * Elimination d'accents dans les mots cles lies à l'algorithmique
|
||||||
|
% * ajout de la commande \commentaire
|
||||||
|
|
||||||
|
|
||||||
|
% Modification depuis la version 2.3.6
|
||||||
|
% * Ajout des commandes \fonctionAvecPreconditions
|
||||||
|
% \signatureFonctionAvecPreconditions, \procedureAvecPreconditions
|
||||||
|
% et \signatureProcedureAvecPreconditions
|
||||||
|
% * remplacement de structure et champStructure par enregistrement et champEnregistrement
|
||||||
|
|
||||||
|
|
||||||
|
% Modification depuis la version 2.3.5
|
||||||
|
% * Suppression de la commande \programme
|
||||||
|
|
||||||
|
|
||||||
|
% Modification depuis la version 2.3.4
|
||||||
|
% * Dans les commandes fonction et procedure, modification du test pour savoir si les variables locales sont presentes ou pas.
|
||||||
|
% * Suppresion de l'erreur de compilation du a la redefinition de l'environnement structure
|
||||||
|
|
||||||
|
% Modification depuis la version 2.3.2
|
||||||
|
% * structure est maintenant un environnement qui s'integre dans l'environnement algorithme
|
||||||
|
% * \champStructure a pris une majuscule
|
||||||
|
% * Apparition de \tadSemantiquesAxiomatiques
|
||||||
|
% * Apparition de l'environnement \tadAxiomes et et commande \tadAxiome
|
||||||
|
% * Apparition de \typePointeur, \pointeur, \pointeurNULL, \champPointee, \allouer, \desallouer
|
||||||
|
% * Elimination de l'erreur de compilation lie a la defintion de la commande \structure
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
\NeedsTeXFormat{LaTeX2e}[1994/12/01]
|
||||||
|
\ProvidesPackage{algorithme}[2002/12/22 package algorithme]
|
||||||
|
\RequirePackage{calc}
|
||||||
|
\RequirePackage{amssymb}
|
||||||
|
|
||||||
|
%% Definition des mots clefs
|
||||||
|
%% peuvent être redéfini à l'aide de la commande \renewcommand
|
||||||
|
%
|
||||||
|
\newcommand{\motclefAffectation}[0]{$\leftarrow$}
|
||||||
|
%
|
||||||
|
\newcommand{\motclefAlgoNom}[0]{Nom}
|
||||||
|
\newcommand{\motclefAlgoRole}[0]{Role}
|
||||||
|
\newcommand{\motclefAlgoEntree}[0]{Entrée}
|
||||||
|
\newcommand{\motclefAlgoSortie}[0]{Sortie}
|
||||||
|
\newcommand{\motclefAlgoEntreeSortie}[0]{Entrée/Sortie}
|
||||||
|
\newcommand{\motclefAlgoDeclaration}[0]{Déclaration}
|
||||||
|
%
|
||||||
|
\newcommand{\motclefAlgoDebut}[0]{debut}
|
||||||
|
\newcommand{\motclefAlgoFin}[0]{fin}
|
||||||
|
%
|
||||||
|
\newcommand{\motclefEntier}[0]{Entier}
|
||||||
|
\newcommand{\motclefNaturel}[0]{Naturel}
|
||||||
|
\newcommand{\motclefNaturelNonNul}[0]{NaturelNonNul}
|
||||||
|
\newcommand{\motclefReel}[0]{Reel}
|
||||||
|
\newcommand{\motclefReelPositif}[0]{ReelPositif}
|
||||||
|
\newcommand{\motclefReelPositifNonNul}[0]{ReelPositifNonNul}
|
||||||
|
\newcommand{\motclefReelNegatif}[0]{ReelNegatif}
|
||||||
|
\newcommand{\motclefReelNegatifNonNul}[0]{ReelNegatifNonNul}
|
||||||
|
\newcommand{\motclefBooleen}[0]{Booleen}
|
||||||
|
\newcommand{\motclefCaractere}[0]{Caractere}
|
||||||
|
\newcommand{\motclefChaine}[0]{Chaine de caracteres}
|
||||||
|
%
|
||||||
|
\newcommand{\motclefRemarque}[0]{Remarque}
|
||||||
|
\newcommand{\motclefCommentaire}[0]{// }
|
||||||
|
%
|
||||||
|
\newcommand{\motclefType}[0]{Type}
|
||||||
|
\newcommand{\motclefDeclaration}[0]{Déclaration}
|
||||||
|
\newcommand{\motclefConstante}[0]{Constante}
|
||||||
|
\newcommand{\motclefTableau}[0]{Tableau}
|
||||||
|
\newcommand{\motclefStructure}[0]{Structure}
|
||||||
|
\newcommand{\motclefFinstructure}[0]{finstructure}
|
||||||
|
%
|
||||||
|
\newcommand{\motclefSi}[0]{si}
|
||||||
|
\newcommand{\motclefAlors}[0]{alors}
|
||||||
|
\newcommand{\motclefSinon}[0]{sinon}
|
||||||
|
\newcommand{\motclefFinsi}[0]{finsi}
|
||||||
|
%
|
||||||
|
\newcommand{\motclefCasou}[0]{cas où}
|
||||||
|
\newcommand{\motclefCasouVaut}[0]{vaut}
|
||||||
|
\newcommand{\motclefFincas}[0]{fincas}
|
||||||
|
%
|
||||||
|
\newcommand{\motclefTantque}[0]{tant que}
|
||||||
|
\newcommand{\motclefTantqueFaire}[0]{faire}
|
||||||
|
\newcommand{\motclefFintantque}[0]{fintantque}
|
||||||
|
%
|
||||||
|
\newcommand{\motclefRepeter}[0]{repeter}
|
||||||
|
\newcommand{\motclefJusquaceque}[0]{jusqu'a ce que}
|
||||||
|
%
|
||||||
|
\newcommand{\motclefPour}[0]{pour}
|
||||||
|
\newcommand{\motclefPourA}[0]{à}
|
||||||
|
\newcommand{\motclefPourPas}[0]{pas de}
|
||||||
|
\newcommand{\motclefPourFaire}[0]{faire}
|
||||||
|
\newcommand{\motclefFinPour}[0]{finpour}
|
||||||
|
%
|
||||||
|
\newcommand{\motclefEcrire}[0]{ecrire}
|
||||||
|
\newcommand{\motclefLire}[0]{lire}
|
||||||
|
%
|
||||||
|
\newcommand{\motclefPreconditions}[0]{précondition(s)}
|
||||||
|
%
|
||||||
|
\newcommand{\motclefFonction}[0]{fonction}
|
||||||
|
\newcommand{\motclefRetourner}[0]{retourner}
|
||||||
|
%
|
||||||
|
\newcommand{\motclefProcedure}[0]{procédure}
|
||||||
|
\newcommand{\motclefParamEntree}[0]{E}
|
||||||
|
\newcommand{\motclefParamSortie}[0]{S}
|
||||||
|
\newcommand{\motclefParamEntreeSortie}[0]{E/S}
|
||||||
|
%
|
||||||
|
\newcommand{\motclefTADNom}[0]{Nom}
|
||||||
|
\newcommand{\motclefTADParametre}[0]{Paramètre}
|
||||||
|
\newcommand{\motclefTADUtilise}[0]{Utilise}
|
||||||
|
\newcommand{\motclefTADOperations}[0]{Opérations}
|
||||||
|
\newcommand{\motclefTADSemantiques}[0]{Sémantiques}
|
||||||
|
\newcommand{\motclefTADAxiomes}[0]{Axiomes}
|
||||||
|
\newcommand{\motclefTADPreconditions}[0]{Préconditions}
|
||||||
|
%
|
||||||
|
\newcommand{\motclefPointeurNULL}[0]{null}
|
||||||
|
\newcommand{\motclefAllouer}[0]{allouer}
|
||||||
|
\newcommand{\motclefDesallouer}[0]{desallouer}
|
||||||
|
|
||||||
|
%% ------------------------------------------------------------
|
||||||
|
%% Définitions privées
|
||||||
|
|
||||||
|
%% Permet d'étendre le nombre de niveau maximale pour l'environnment list
|
||||||
|
\csname @listdepth\endcsname=-10
|
||||||
|
|
||||||
|
|
||||||
|
%% L'environnement \algolist
|
||||||
|
\newenvironment{algolist}[1]
|
||||||
|
{\begin{list}
|
||||||
|
{}
|
||||||
|
{\setlength{\parsep}{0cm}
|
||||||
|
\setlength{\leftmargin}{#1}
|
||||||
|
\setlength{\itemsep}{0cm}
|
||||||
|
\setlength{\topsep}{0cm}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
{\end{list}}
|
||||||
|
|
||||||
|
|
||||||
|
%% Définition d'un bloc d'instructions
|
||||||
|
\newcommand{\unbloc}[1]{
|
||||||
|
\begin{algolist}{0,5cm}
|
||||||
|
#1
|
||||||
|
\end{algolist}
|
||||||
|
}
|
||||||
|
|
||||||
|
\newcommand{\entetealgo}[6]{
|
||||||
|
\instruction{\textbf{\motclefAlgoNom : }#1}
|
||||||
|
\instruction{\textbf{\motclefAlgoRole : }#2}
|
||||||
|
\instruction{\textbf{\motclefAlgoEntree : }#3}
|
||||||
|
\instruction{\textbf{\motclefAlgoSortie : }#4}
|
||||||
|
\instruction{\textbf{\motclefAlgoEntreeSortie : }#5}
|
||||||
|
\instruction{\textbf{\motclefAlgoDeclaration : }#6}
|
||||||
|
}
|
||||||
|
|
||||||
|
\newcommand{\debutfin}[1]{
|
||||||
|
\instruction{\textbf{\motclefAlgoDebut}}
|
||||||
|
\unbloc{#1}
|
||||||
|
\instruction{\textbf{\motclefAlgoFin}}
|
||||||
|
}
|
||||||
|
|
||||||
|
%% Des listes alignees
|
||||||
|
%% #1 : le mot de reference
|
||||||
|
%% #2 : l'espace depuis le cote gauche
|
||||||
|
%% #3 : le separateur
|
||||||
|
\newenvironment{listeAlignee}[3]%
|
||||||
|
{\begin{list}{}
|
||||||
|
{\renewcommand{\makelabel}[1]{\textsf{##1#3}\hfil}
|
||||||
|
\settowidth{\labelwidth}{\textsf{#1#3}}%
|
||||||
|
\setlength{\leftmargin}{\labelwidth+\labelsep+#2}
|
||||||
|
\setlength{\itemsep}{0cm}
|
||||||
|
}
|
||||||
|
}%
|
||||||
|
{\end{list}}
|
||||||
|
|
||||||
|
\newenvironment{listeAligneeSanssf}[3]%
|
||||||
|
{\begin{list}{}
|
||||||
|
{\renewcommand{\makelabel}[1]{##1#3\hfil}
|
||||||
|
\settowidth{\labelwidth}{#1#3}%
|
||||||
|
\setlength{\leftmargin}{\labelwidth+\labelsep+#2}
|
||||||
|
\setlength{\itemsep}{0cm}
|
||||||
|
}
|
||||||
|
}%
|
||||||
|
{\end{list}}
|
||||||
|
|
||||||
|
%% ------------------------------------------------------------
|
||||||
|
%% Définitions des commandes et environnement publiques
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
%% Commande \instruction
|
||||||
|
%% #1 : L'instruction
|
||||||
|
%% Remarque : Toute instruction doit utiliser cette commande
|
||||||
|
\newcommand{\instruction}[1]{
|
||||||
|
\item #1
|
||||||
|
}
|
||||||
|
|
||||||
|
%% Commande \remarque
|
||||||
|
%% #1 : La remarque
|
||||||
|
\newcommand{\remarque}[1]{
|
||||||
|
\instruction{\textit{\textbf{Remarque : }#1}}
|
||||||
|
}
|
||||||
|
|
||||||
|
%% Commande \commentaire
|
||||||
|
%% #1 : Le commentaire
|
||||||
|
\newcommand{\commentaire}[1]{
|
||||||
|
\instruction{\textit{// #1}}
|
||||||
|
}
|
||||||
|
|
||||||
|
%% Les types de bases
|
||||||
|
\newcommand{\entier}{\textbf{\motclefEntier}}
|
||||||
|
\newcommand{\naturel}{\textbf{\motclefNaturel}}
|
||||||
|
\newcommand{\naturelNonNul}{\textbf{\motclefNaturelNonNul}}
|
||||||
|
\newcommand{\reel}{\textbf{\motclefReel}}
|
||||||
|
\newcommand{\reelPositif}{\textbf{\motclefReelPositif}}
|
||||||
|
\newcommand{\reelPositifNonNul}{\textbf{\motclefReelPositifNonNul}}
|
||||||
|
\newcommand{\reelNegatif}{\textbf{\motclefReelNegatif}}
|
||||||
|
\newcommand{\reelNegatifNonNul}{\textbf{\motclefReelNegatifNonNul}}
|
||||||
|
\newcommand{\booleen}{\textbf{\motclefBooleen}}
|
||||||
|
\newcommand{\caractere}{\textbf{\motclefCaractere}}
|
||||||
|
\newcommand{\chaine}{\textbf{\motclefChaine}}
|
||||||
|
|
||||||
|
%% Commande \type
|
||||||
|
%% #1 : Nom du type
|
||||||
|
%% #2 : Défintion du type
|
||||||
|
\newcommand{\type}[2]{
|
||||||
|
\instruction{\textbf{\motclefType \ }#1\textbf{ = }#2}
|
||||||
|
}
|
||||||
|
|
||||||
|
%% Commande \variables
|
||||||
|
%% #1 : Variable(s) a declarée(s)
|
||||||
|
\newcommand{\variables}[1]{
|
||||||
|
% \instruction{\textbf{\motclefDeclaration \ }#1}
|
||||||
|
\begin{listeAligneeSanssf}{\textbf{\motclefDeclaration \ }}{0.5cm}{}
|
||||||
|
\item[\textbf{\motclefDeclaration \ }] #1
|
||||||
|
\end{listeAligneeSanssf}
|
||||||
|
}
|
||||||
|
|
||||||
|
%% Commande \constante
|
||||||
|
%% #1 : Nom de la constante
|
||||||
|
%% #2 : Valeur de la constante
|
||||||
|
\newcommand{\constante}[2]{
|
||||||
|
\instruction{\textbf{\motclefConstante \ }#1\textbf{ = }#2}
|
||||||
|
}
|
||||||
|
|
||||||
|
%% Commande \tableauUneDimension
|
||||||
|
%% #1 : Intervalle
|
||||||
|
%% #2 : {de} ou {d'}
|
||||||
|
%% #3 : Type
|
||||||
|
\newcommand{\tableauUneDimension}[3]{
|
||||||
|
\textbf{\motclefTableau[}#1\textbf{] #2}#3
|
||||||
|
}
|
||||||
|
|
||||||
|
%% Commande \tableauDeuxDimensions
|
||||||
|
%% #1 : Intervalle 1ere dimension
|
||||||
|
%% #2 : Intervalle 2eme dimension
|
||||||
|
%% #3 : {de} ou {d'}
|
||||||
|
%% #4 : Type
|
||||||
|
\newcommand{\tableauDeuxDimensions}[4]{
|
||||||
|
\textbf{\motclefTableau[}#1\textbf{]}\textbf{[}#2\textbf{] #3} #4
|
||||||
|
}
|
||||||
|
|
||||||
|
%% Environnement enregistrement
|
||||||
|
%% #1 : Nom du type cree
|
||||||
|
%\newenvironment{structure}[1]{\type{#1}{\textbf{\motclefStructure}}\begin{algolist}{0.5cm}}{\end{algolist}\instruction{\textbf{\motclefFinstructure}}}
|
||||||
|
\newenvironment{enregistrement}[1]
|
||||||
|
{\type{#1}{\textbf{\motclefStructure}}\begin{algolist}{0.5cm}}
|
||||||
|
{\end{algolist}\instruction{\textbf{\motclefFinstructure}}}
|
||||||
|
|
||||||
|
\newcommand{\champEnregistrement}[2]{
|
||||||
|
\instruction{#1 : #2}
|
||||||
|
}
|
||||||
|
|
||||||
|
\newcommand{\champ}[2]{
|
||||||
|
#1.#2
|
||||||
|
}
|
||||||
|
|
||||||
|
%% Commande \affecter
|
||||||
|
%% #1 : Nom de la variable
|
||||||
|
%% #2 : Valeur
|
||||||
|
\newcommand{\affecter}[2]{
|
||||||
|
\instruction{#1 \textbf{\motclefAffectation} #2}
|
||||||
|
}
|
||||||
|
|
||||||
|
%% Commande \sialors
|
||||||
|
%% #1 : Condition
|
||||||
|
%% #2 : Instruction(s) du alors
|
||||||
|
\newcommand{\sialors}[2]{
|
||||||
|
\instruction{\textbf{\motclefSi} #1 \textbf{\motclefAlors}}
|
||||||
|
\unbloc{#2}
|
||||||
|
\instruction{\textbf{\motclefFinsi}}
|
||||||
|
}
|
||||||
|
|
||||||
|
%% Commande \sialorssinon
|
||||||
|
%% #1 : Condition
|
||||||
|
%% #2 : Instruction(s) du alors
|
||||||
|
%% #3 : Instruction(s) du sinon
|
||||||
|
\newcommand{\sialorssinon}[3]{
|
||||||
|
\instruction{\textbf{\motclefSi} #1 \textbf{\motclefAlors}}
|
||||||
|
\unbloc{#2}
|
||||||
|
\instruction{\textbf{\motclefSinon}}
|
||||||
|
\unbloc{#3}
|
||||||
|
\instruction{\textbf{\motclefFinsi}}
|
||||||
|
}
|
||||||
|
|
||||||
|
%% Commande \cas
|
||||||
|
%% #1 : Nom de la variable
|
||||||
|
%% #2 : Les cas
|
||||||
|
\newcommand{\cas}[2]{
|
||||||
|
\instruction{\textbf{\motclefCasou} #1 \textbf{\motclefCasouVaut}}
|
||||||
|
\unbloc{#2}
|
||||||
|
\instruction{\textbf{\motclefFincas}}
|
||||||
|
}
|
||||||
|
|
||||||
|
\newcommand{\casclausegenerale}[2]{
|
||||||
|
\instruction{\textit{#1}: }
|
||||||
|
\unbloc{#2}
|
||||||
|
}
|
||||||
|
|
||||||
|
\newcommand{\casclauseautre}[1]{
|
||||||
|
\instruction{\textit{autre} : }
|
||||||
|
\unbloc{#1}
|
||||||
|
}
|
||||||
|
|
||||||
|
%% Commande \tantque
|
||||||
|
%% #1 : Condition
|
||||||
|
%% #2 : Instruction(s)
|
||||||
|
\newcommand{\tantque}[2]{
|
||||||
|
\instruction{\textbf{\motclefTantque} #1 \textbf{\motclefTantqueFaire}}
|
||||||
|
\unbloc{#2}
|
||||||
|
\instruction{\textbf{\motclefFintantque}}
|
||||||
|
}
|
||||||
|
|
||||||
|
%% Commande \repeter
|
||||||
|
%% #1 : Condition
|
||||||
|
%% #2 : Instruction(s)
|
||||||
|
\newcommand{\repeter}[2]{
|
||||||
|
\instruction{\textbf{\motclefRepeter}}
|
||||||
|
\unbloc{#1}
|
||||||
|
\instruction{\textbf{\motclefJusquaceque} #2}
|
||||||
|
}
|
||||||
|
|
||||||
|
%% Commande \pour
|
||||||
|
%% #1 : Variable
|
||||||
|
%% #2 : Borne inférieure
|
||||||
|
%% #3 : Borne supérieure
|
||||||
|
%% #4 : Pas (si {} alors de 1 par défaut et n'apparait pas)
|
||||||
|
%% #5 : Instruction(s)
|
||||||
|
\newcommand{\pour}[5]{
|
||||||
|
\instruction{\textbf{\motclefPour} #1 \motclefAffectation #2 \textbf{\motclefPourA} #3 \ifx#4\ \else \textbf{\motclefPourPas} #4 \fi\textbf{\motclefPourFaire}}
|
||||||
|
\unbloc{#5}
|
||||||
|
\instruction{\textbf{\motclefFinPour}}
|
||||||
|
}
|
||||||
|
|
||||||
|
%% Commande \lire
|
||||||
|
%% #1 : Variables à lire (liste non controlée)
|
||||||
|
\newcommand{\lire}[1]{
|
||||||
|
\instruction{\textbf{\motclefLire}(#1)}
|
||||||
|
}
|
||||||
|
|
||||||
|
%% Commande \ecrire
|
||||||
|
%% #1 : Ce qui doit être affiché
|
||||||
|
\newcommand{\ecrire}[1]{
|
||||||
|
\instruction{\textbf{\motclefEcrire}(#1)}
|
||||||
|
}
|
||||||
|
|
||||||
|
%% Commande \retourner
|
||||||
|
%% #1 : Ce qui doit être retourné
|
||||||
|
\newcommand{\retourner}[1]{
|
||||||
|
\instruction{\textbf{\motclefRetourner} #1}
|
||||||
|
}
|
||||||
|
|
||||||
|
%% Commande algo
|
||||||
|
%% #1 : Taille de la police
|
||||||
|
%% #2 : Nom de l'algo
|
||||||
|
%% #3 : Signification de l'algo (rôle)
|
||||||
|
%% #4 : Paramètre en entrée
|
||||||
|
%% #5 : Paramètre en sortie
|
||||||
|
%% #6 : Paramètre en entrée/sortie
|
||||||
|
%% #7 : Déclaration variable locale
|
||||||
|
%% #8 : Corps de l'algo
|
||||||
|
\newcommand{\algo}[8]{
|
||||||
|
#1
|
||||||
|
\entetealgo{#2}{#3}{#4}{#5}{#6}{#7}
|
||||||
|
\debutfin{#8}
|
||||||
|
}
|
||||||
|
|
||||||
|
%% Commande \fonction
|
||||||
|
%% #1 : Nom de la fonction
|
||||||
|
%% #2 : Paramètres
|
||||||
|
%% #3 : Type de retour
|
||||||
|
%% #4 : Variables locales
|
||||||
|
%% #5 : Instructions
|
||||||
|
\newcommand{\fonction}[5]{
|
||||||
|
\instruction{\textbf{\motclefFonction} #1 \textbf{(}#2\textbf{)} \textbf{:} #3}
|
||||||
|
\ifx\empty#4\empty
|
||||||
|
\else
|
||||||
|
% \unbloc{\variables{#4}}
|
||||||
|
\variables{#4}
|
||||||
|
\fi
|
||||||
|
\debutfin{#5}
|
||||||
|
}
|
||||||
|
|
||||||
|
%% Commande \preconditions
|
||||||
|
%% #1 : les préconditions séparées par //
|
||||||
|
\newcommand{\preconditions}[1]{
|
||||||
|
\ifx\empty#1\empty
|
||||||
|
\else
|
||||||
|
\begin{listeAligneeSanssf}{$\lfloor$\textbf{\motclefPreconditions \ }}{0.5cm}{}
|
||||||
|
\item[$\lfloor$\textbf{\motclefPreconditions \ }] #1
|
||||||
|
\end{listeAligneeSanssf}
|
||||||
|
\fi
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
%% Commande \fonctionAvecPreconditions
|
||||||
|
%% #1 : Nom de la fonction
|
||||||
|
%% #2 : Paramètres
|
||||||
|
%% #3 : Type de retour
|
||||||
|
%% #4 : Précondition(s)
|
||||||
|
%% #5 : Variable(s) locale(s)
|
||||||
|
%% #6 : Instructions
|
||||||
|
\newcommand{\fonctionAvecPreconditions}[6]{
|
||||||
|
\instruction{\textbf{\motclefFonction} #1 \textbf{(}#2\textbf{)} \textbf{:} #3}
|
||||||
|
\preconditions{#4}
|
||||||
|
\ifx\empty#5\empty
|
||||||
|
\else
|
||||||
|
\variables{#5}
|
||||||
|
\fi
|
||||||
|
\debutfin{#6}
|
||||||
|
}
|
||||||
|
|
||||||
|
%% Commande : signaturefonction
|
||||||
|
%% #1 : Nom de la fonction
|
||||||
|
%% #2 : paramètres
|
||||||
|
%% #3 : type de retour
|
||||||
|
\newcommand{\signaturefonction}[3]{
|
||||||
|
\instruction{\textbf{\motclefFonction} #1 \textbf{(}#2\textbf{)} \textbf{:} #3}
|
||||||
|
}
|
||||||
|
\newcommand{\signatureFonction}[3]{
|
||||||
|
\signaturefonction{#1}{#2}{#3}
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
%% Commande : signatureFonctionAvecPreconditions
|
||||||
|
%% #1 : Nom de la fonction
|
||||||
|
%% #2 : paramètres
|
||||||
|
%% #3 : type de retour
|
||||||
|
%% #4 : préconditions
|
||||||
|
\newcommand{\signatureFonctionAvecPreconditions}[4]{
|
||||||
|
\instruction{\textbf{\motclefFonction} #1 \textbf{(}#2\textbf{)} \textbf{:} #3}
|
||||||
|
\preconditions{#4}
|
||||||
|
}
|
||||||
|
|
||||||
|
\newcommand{\paramEntree}[1]{
|
||||||
|
\textbf{\motclefParamEntree} #1
|
||||||
|
}
|
||||||
|
|
||||||
|
\newcommand{\paramSortie}[1]{
|
||||||
|
\textbf{\motclefParamSortie} #1
|
||||||
|
}
|
||||||
|
|
||||||
|
\newcommand{\paramEntreeSortie}[1]{
|
||||||
|
\textbf{\motclefParamEntreeSortie} #1
|
||||||
|
}
|
||||||
|
|
||||||
|
%% Commande \procedure
|
||||||
|
%% #1 : Nom de la procedure
|
||||||
|
%% #2 : Paramètres
|
||||||
|
%% #3 : Variables locales
|
||||||
|
%% #4 : Corps de la procédure
|
||||||
|
\newcommand{\procedure}[4]{
|
||||||
|
\instruction{\textbf{\motclefProcedure} #1 \textbf{(}#2\textbf{)}}
|
||||||
|
\ifx\empty#3\empty
|
||||||
|
\else
|
||||||
|
% \unbloc{\variables{#3}}
|
||||||
|
\variables{#3}
|
||||||
|
\fi
|
||||||
|
\debutfin{#4}
|
||||||
|
}
|
||||||
|
|
||||||
|
%% Commande \procedureAvecPreconditions
|
||||||
|
%% #1 : Nom de la procedure
|
||||||
|
%% #2 : Paramètres
|
||||||
|
%% #3 : Précondition(s)
|
||||||
|
%% #3 : Variables locales
|
||||||
|
%% #4 : Corps de la procédure
|
||||||
|
\newcommand{\procedureAvecPreconditions}[5]{
|
||||||
|
\instruction{\textbf{\motclefProcedure} #1 \textbf{(}#2\textbf{)}}
|
||||||
|
\preconditions{#3}
|
||||||
|
\ifx\empty#4\empty
|
||||||
|
\else
|
||||||
|
\variables{#4}
|
||||||
|
\fi
|
||||||
|
\debutfin{#5}
|
||||||
|
}
|
||||||
|
|
||||||
|
%% Commande signatureprocedure
|
||||||
|
%% #1 : Nom de la procedure
|
||||||
|
%% #2 : Paramètres
|
||||||
|
\newcommand{\signatureprocedure}[2]{
|
||||||
|
\instruction{\textbf{\motclefProcedure} #1 \textbf{(}#2\textbf{)}}
|
||||||
|
}
|
||||||
|
\newcommand{\signatureProcedure}[2]{
|
||||||
|
\signatureprocedure{#1}{#2}
|
||||||
|
}
|
||||||
|
|
||||||
|
%% Commande procedure
|
||||||
|
%% #1 : Nom de la procedure
|
||||||
|
%% #2 : Paramètres
|
||||||
|
%% #3 : Préconditions
|
||||||
|
\newcommand{\signatureProcedureAvecPreconditions}[3]{
|
||||||
|
\instruction{\textbf{\motclefProcedure} #1 \textbf{(}#2\textbf{)}}
|
||||||
|
\preconditions{#3}
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
%% Toutes ces commandes doivent être utilisées au sein de l'environnement algorithme
|
||||||
|
\newenvironment{algorithme}{\begin{algolist}{0cm}}{\end{algolist}}
|
||||||
|
|
||||||
|
|
||||||
|
%% Types abstraits de donnees (TAD ou aussi appele TDA)
|
||||||
|
|
||||||
|
%% Commande \tadNom
|
||||||
|
%% #1 : le nom du TAD
|
||||||
|
\newcommand{\tadNom}[1]{\item[\textbf{\motclefTADNom}] #1}
|
||||||
|
|
||||||
|
%% Commande \tadParametres
|
||||||
|
%% #1 : parametres du TAD (permettant de creer des TAD generiques)
|
||||||
|
\newcommand{\tadParametres}[1]{\item[\textbf{\motclefTADParametre}] #1}
|
||||||
|
|
||||||
|
%% Commande \tadDependances
|
||||||
|
%% #1 : Dependance du TAD vis à vis d'autre types
|
||||||
|
\newcommand{\tadDependances}[1]{\item[\textbf{\motclefTADUtilise}] #1}
|
||||||
|
|
||||||
|
%% Commande \tadOperation
|
||||||
|
%% #1 : Nom de l'operation
|
||||||
|
%% #2 : Parametres en entree de l'operation (utiliser \tadXXParam)
|
||||||
|
%% #3 : Parametres en sortie de l'operation(utiliser \tadXXParam)
|
||||||
|
\newcommand{\tadOperation}[3]{\item[#1] #2 $\rightarrow$ #3}
|
||||||
|
|
||||||
|
%% Commande \tadOperationAvecPreconditions
|
||||||
|
%% #1 : Nom de l'operation
|
||||||
|
%% #2 : Parametres en entree de l'operation (utiliser \tadXXParam)
|
||||||
|
%% #3 : Parametres en sortie de l'operation(utiliser \tadXXParam)
|
||||||
|
\newcommand{\tadOperationAvecPreconditions}[3]{\item[#1] #2 $\nrightarrow$ #3}
|
||||||
|
|
||||||
|
|
||||||
|
%% Commandes \tadXXParams
|
||||||
|
%% Produit cartesien des types des parametres
|
||||||
|
%% Plusieurs commande car pour l'instant impossible de créer une commande avec nombre d'arguement variable
|
||||||
|
\newcommand{\tadUnParam}[1]{#1}
|
||||||
|
\newcommand{\tadDeuxParams}[2]{#1 $\times$ #2}
|
||||||
|
\newcommand{\tadTroisParams}[3]{#1 $\times$ #2 $\times$ #3}
|
||||||
|
\newcommand{\tadQuatreParams}[4]{#1 $\times$ #2 $\times$ #3 $\times$ #4}
|
||||||
|
\newcommand{\tadCinqParams}[5]{#1 $\times$ #2 $\times$ #3 $\times$ #4 $\times$ #5}
|
||||||
|
\newcommand{\tadSixParams}[6]{#1 $\times$ #2 $\times$ #3 $\times$ #4 $\times$ #5 $\times$ #6}
|
||||||
|
\newcommand{\tadSeptParams}[7]{#1 $\times$ #2 $\times$ #3 $\times$ #4 $\times$ #5 $\times$ #6 $\times$ #7}
|
||||||
|
\newcommand{\tadHuitParams}[8]{#1 $\times$ #2 $\times$ #3 $\times$ #4 $\times$ #5 $\times$ #6 $\times$ #7 $\times$ #8}
|
||||||
|
\newcommand{\tadNeufParams}[9]{#1 $\times$ #2 $\times$ #3 $\times$ #4 $\times$ #5 $\times$ #6 $\times$ #7 $\times$ #8 $\times$ #9}
|
||||||
|
|
||||||
|
%% toutes les operations (tadOperation) doivent etre definies dans un environnement tadOperations
|
||||||
|
\newenvironment{tadOperations}[1]
|
||||||
|
{\item[\textbf{\motclefTADOperations}]
|
||||||
|
\begin{listeAlignee}{#1}{0cm}{:}
|
||||||
|
}
|
||||||
|
{\end{listeAlignee}}
|
||||||
|
|
||||||
|
%% Commande \tadSemantique
|
||||||
|
%% #1 : Nom de l'operation
|
||||||
|
%% #2 : rôle de l'operation
|
||||||
|
\newcommand{\tadSemantique}[2]{\item[#1] #2}
|
||||||
|
|
||||||
|
|
||||||
|
%% toutes les semantiques d'operations (\tadSemantique) doivent etre definies dans un environnement tadSemantiques
|
||||||
|
\newenvironment{tadSemantiques}[1]
|
||||||
|
{\item[\textbf{\motclefTADSemantiques}]
|
||||||
|
\begin{listeAlignee}{#1}{0cm}{:}
|
||||||
|
}
|
||||||
|
{\end{listeAlignee}}
|
||||||
|
|
||||||
|
|
||||||
|
% Semantique axiomatique
|
||||||
|
%% Commande \tadSemantique
|
||||||
|
%% #1 : Nom de l'operation
|
||||||
|
%% #2 : rôle de l'operation
|
||||||
|
%\newcommand{\tadSemantique}[2]{\item[#1] #2}
|
||||||
|
|
||||||
|
|
||||||
|
% toutes les semantiques d'operations (\tadSemantique) doivent etre definies dans un environnement tadSemantiques
|
||||||
|
\newenvironment{tadSemantiquesAxiomatiques}[1]
|
||||||
|
{\item[\textbf{\motclefTADSemantiques}]
|
||||||
|
\begin{listeAlignee}{#1}{0cm}{ =}
|
||||||
|
}
|
||||||
|
{\end{listeAlignee}}
|
||||||
|
|
||||||
|
|
||||||
|
\newenvironment{axiomelist}[1]
|
||||||
|
{\begin{list}
|
||||||
|
{-}
|
||||||
|
{\setlength{\parsep}{0cm}
|
||||||
|
\setlength{\leftmargin}{#1}
|
||||||
|
\setlength{\itemsep}{0cm}
|
||||||
|
\setlength{\topsep}{0cm}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
{\end{list}}
|
||||||
|
|
||||||
|
|
||||||
|
\newenvironment{tadAxiomes}[0]
|
||||||
|
{\item[\textbf{\motclefTADAxiomes}]
|
||||||
|
\begin{axiomelist}{0cm}
|
||||||
|
}
|
||||||
|
{\end{axiomelist}}
|
||||||
|
|
||||||
|
\newcommand{\tadAxiome}[1]{\item #1}
|
||||||
|
|
||||||
|
% préconditions
|
||||||
|
%% toutes les préconditions d'operations (\tadPrecondition) doivent etre definies dans un environnement tadPreconditions
|
||||||
|
\newenvironment{tadPreconditions}[1]
|
||||||
|
{\item[\textbf{\motclefTADPreconditions}]
|
||||||
|
\begin{listeAlignee}{#1}{0cm}{:}
|
||||||
|
}
|
||||||
|
{\end{listeAlignee}}
|
||||||
|
|
||||||
|
%% Commande \tadPrecondition
|
||||||
|
%% #1 : Nom de l'operation
|
||||||
|
%% #2 : la précondition
|
||||||
|
\newcommand{\tadPrecondition}[2]{\item[#1] #2}
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
%% La définition d'un tad ce fait dans un environnement tad
|
||||||
|
\newenvironment{tad}{\begin{listeAlignee}{\textbf{\motclefTADPreconditions}}{0cm}{:}}{\end{listeAlignee}}
|
||||||
|
|
||||||
|
|
||||||
|
%% Commandes \algoset
|
||||||
|
\newcommand{\algoset}[2]{\renewcommand{#1}[0]{#2}}
|
||||||
|
|
||||||
|
|
||||||
|
%% Pour les pointeurs :\typePointeur, \pointeur, \pointeurNULL, \champPointe, \allouer, \desallouer
|
||||||
|
\newcommand{\typePointeur}[1]{\^\ #1}
|
||||||
|
\newcommand{\pointeur}[1]{#1\^\ }
|
||||||
|
\newcommand{\pointeurNULL}[0]{\textbf{\motclefPointeurNULL}}
|
||||||
|
\newcommand{\champPointeur}[2]{#1$\rightarrow$#2}
|
||||||
|
\newcommand{\allouer}[1]{\textbf{\motclefAllouer}(#1)}
|
||||||
|
\newcommand{\desallouer}[1]{\textbf{\motclefDesallouer}(#1)}
|
||||||
|
|
||||||
|
\endinput
|
||||||
|
|
||||||
248
algorithmique.sty
Normal file
248
algorithmique.sty
Normal file
@ -0,0 +1,248 @@
|
|||||||
|
%%
|
||||||
|
%% 11 juin 2010
|
||||||
|
%%
|
||||||
|
%% algorithmique.sty
|
||||||
|
%%
|
||||||
|
%% S O F T W A R E L I C E N S E
|
||||||
|
%% =================================
|
||||||
|
%%
|
||||||
|
%% The file pseudocode.sty
|
||||||
|
%% is referred to as `the pseudocode package'
|
||||||
|
%% or simply `the package'.
|
||||||
|
%%
|
||||||
|
%% The pseudocode package is copyright 1999 D.L. Kreher and D.R. Stinson.
|
||||||
|
%%
|
||||||
|
%% The pseudocode package and its drivers may be distributed and/or modified
|
||||||
|
%% under the conditions of the LaTeX Project Public License, either version
|
||||||
|
%% 1.3 of this license or (at your option) any later version.
|
||||||
|
%% The latest version of this license is in
|
||||||
|
%% http://www.latex-project.org/lppl.txt
|
||||||
|
%% and version 1.3 or later is part of all distributions of LaTeX
|
||||||
|
%% version 2003/12/01 or later.
|
||||||
|
%%
|
||||||
|
%% The package has the LPPL maintenance status "maintained".
|
||||||
|
%%
|
||||||
|
%% Francisé par Alain Busser, Lycée Roland-Garros, Le Tampon
|
||||||
|
%%
|
||||||
|
%% end of software license
|
||||||
|
%%
|
||||||
|
%%
|
||||||
|
%% DESCRIPTION:
|
||||||
|
%% algorithmique.sty est un fichier de style LaTeX, comprenant:
|
||||||
|
%% l'environment pseudocode traduit en Français
|
||||||
|
%%
|
||||||
|
%% INSTALLATION:
|
||||||
|
%% À placer là où LaTeX cherche des fichiers.
|
||||||
|
%%
|
||||||
|
%% DOCUMENTATION:
|
||||||
|
%% Voir pseudocode.tex.
|
||||||
|
%%
|
||||||
|
%% COPYING:
|
||||||
|
%% Copying of part or all of this file is allowed under the following
|
||||||
|
%% conditions only:
|
||||||
|
%% (1) You may freely distribute unchanged copies of the file. Please
|
||||||
|
%% include the documentation when you do so.
|
||||||
|
%% (2) You may modify a renamed copy of the file, but only for personal
|
||||||
|
%% use or use within an organization.
|
||||||
|
%% (3) You may copy fragments from the file, for personal use or for
|
||||||
|
%% distribution, as long as credit is given where credit is due.
|
||||||
|
%%
|
||||||
|
%% You are NOT ALLOWED to take money for the distribution or use of
|
||||||
|
%% this file or modified versions or fragments thereof, except for
|
||||||
|
%% a nominal charge for copying etc.
|
||||||
|
%%
|
||||||
|
%%
|
||||||
|
%% CODE:
|
||||||
|
\typeout{** }
|
||||||
|
\typeout{** Document Style `algorithmique' }
|
||||||
|
\typeout{** by D.L. Kreher and D.R. Stinson }
|
||||||
|
\typeout{** Alain Busser }
|
||||||
|
|
||||||
|
%
|
||||||
|
\NeedsTeXFormat{LaTeX2e}
|
||||||
|
\ProvidesPackage{algorithmique}
|
||||||
|
%
|
||||||
|
\if@twocolumn
|
||||||
|
\newlength{\pcode@width}
|
||||||
|
\setlength{\pcode@width}{\columnwidth}
|
||||||
|
\addtolength{\pcode@width}{-40pt}
|
||||||
|
\else
|
||||||
|
\newlength{\pcode@width}
|
||||||
|
\setlength{\pcode@width}{\textwidth}
|
||||||
|
\addtolength{\pcode@width}{-40pt}
|
||||||
|
\fi
|
||||||
|
%
|
||||||
|
\RequirePackage{fancybox}
|
||||||
|
\RequirePackage{ifthen}
|
||||||
|
%
|
||||||
|
\newcommand{\pcode@AF}[1]{\mbox{\textsc{#1}}} % choix de la police
|
||||||
|
\newcounter{pseudocode}[section]
|
||||||
|
\newcounter{pseudonum}
|
||||||
|
\renewcommand{\thepseudonum}{\arabic{pseudonum}}
|
||||||
|
\newcommand{\pcode@tab}[1]{\hspace*{#1ex}}
|
||||||
|
\renewcommand{\thepseudocode}{\thesection.\arabic{pseudocode}}
|
||||||
|
%
|
||||||
|
\newboolean{pcode@plain}
|
||||||
|
\newboolean{pcode@ruled}
|
||||||
|
\newboolean{pcode@disp}
|
||||||
|
\newboolean{pcode@shad}
|
||||||
|
\newboolean{pcode@dbox}
|
||||||
|
\newboolean{pcode@obox}
|
||||||
|
\newboolean{pcode@Obox}
|
||||||
|
\newboolean{pcode@fbox}
|
||||||
|
%
|
||||||
|
\newenvironment{pseudocode}[3][plain]
|
||||||
|
{%
|
||||||
|
\refstepcounter{pseudocode}%
|
||||||
|
\ifthenelse{\equal{#1}{plain}}{\setboolean{pcode@plain}{true}}{\setboolean{pcode@plain}{false}}%
|
||||||
|
\ifthenelse{\equal{#1}{ruled}}{\setboolean{pcode@ruled}{true}}{\setboolean{pcode@ruled}{false}}%
|
||||||
|
\ifthenelse{\equal{#1}{display}}{\setboolean{pcode@disp}{true}}{\setboolean{pcode@disp}{false}}%
|
||||||
|
\ifthenelse{\equal{#1}{shadowbox}}{\setboolean{pcode@shad}{true}}{\setboolean{pcode@shad}{false}}%
|
||||||
|
\ifthenelse{\equal{#1}{doublebox}}{\setboolean{pcode@dbox}{true}}{\setboolean{pcode@dbox}{false}}%
|
||||||
|
\ifthenelse{\equal{#1}{ovalbox}}{\setboolean{pcode@obox}{true}}{\setboolean{pcode@obox}{false}}%
|
||||||
|
\ifthenelse{\equal{#1}{Ovalbox}}{\setboolean{pcode@Obox}{true}}{\setboolean{pcode@Obox}{false}}%
|
||||||
|
\ifthenelse{\equal{#1}{framebox}}{\setboolean{pcode@fbox}{true}}{\setboolean{pcode@fbox}{false}}%
|
||||||
|
\setcounter{pseudonum}{0}%
|
||||||
|
\ifthenelse{\boolean{pcode@disp}}%
|
||||||
|
{%
|
||||||
|
\noindent\begin{math}%
|
||||||
|
}%
|
||||||
|
{%
|
||||||
|
\begin{Sbox}%
|
||||||
|
\begin{minipage}{\pcode@width}%
|
||||||
|
\ifthenelse{\boolean{pcode@ruled}}
|
||||||
|
{
|
||||||
|
\noindent\rule{\pcode@width}{1pt}\hfill\\
|
||||||
|
{\bfseries Algorithme \thepseudocode:\pcode@tab{1}}\pcode@AF{#2}($#3$)\\
|
||||||
|
\noindent\rule{\pcode@width}{1pt}\hfill\\[1ex]
|
||||||
|
}
|
||||||
|
{
|
||||||
|
{\bfseries Algorithme \thepseudocode:\pcode@tab{1}}\pcode@AF{#2}($#3$)\\[2ex]
|
||||||
|
}
|
||||||
|
\noindent\begin{math}\begin{array}{@{\pcode@tab{1}}lr@{}}%
|
||||||
|
}{}%
|
||||||
|
}%
|
||||||
|
{%
|
||||||
|
\ifthenelse{\boolean{pcode@disp}}%
|
||||||
|
{%
|
||||||
|
\end{math}
|
||||||
|
}%
|
||||||
|
{%
|
||||||
|
\ifthenelse{\boolean{pcode@ruled}}
|
||||||
|
{
|
||||||
|
\end{array}\end{math}\\[1ex]
|
||||||
|
\noindent\rule{\pcode@width}{1pt}\hfill
|
||||||
|
\end{minipage}\end{Sbox}\bigskip\noindent%
|
||||||
|
}
|
||||||
|
{\end{array}\end{math}\end{minipage}\end{Sbox}\bigskip\noindent}%
|
||||||
|
\ifthenelse{\boolean{pcode@plain}}{\TheSbox}{}%
|
||||||
|
\ifthenelse{\boolean{pcode@ruled}}{\TheSbox}{}%
|
||||||
|
\ifthenelse{\boolean{pcode@shad}}{\shadowbox{\TheSbox}}{}%
|
||||||
|
\ifthenelse{\boolean{pcode@dbox}}{\doublebox{\TheSbox}}{}%
|
||||||
|
\ifthenelse{\boolean{pcode@obox}}{\cornersize*{4ex}\ovalbox{\TheSbox}}{}%
|
||||||
|
\ifthenelse{\boolean{pcode@Obox}}{\cornersize*{4ex}\Ovalbox{\TheSbox}}{}%
|
||||||
|
\ifthenelse{\boolean{pcode@fbox}}{\fbox{\TheSbox}}{}%
|
||||||
|
\bigskip%
|
||||||
|
}%
|
||||||
|
}%
|
||||||
|
%
|
||||||
|
\newcommand{\STMTNUM}[2]{&\refstepcounter{pseudonum}\hspace*{#1}%
|
||||||
|
\mbox{(\thepseudonum)\label{#2}}}
|
||||||
|
\newcommand{\BOOL}[1]{\mbox{\bfseries variables booléennes }\pcode@tab{1}#1}
|
||||||
|
\newcommand{\INT}[1]{\mbox{\bfseries variables entières }\pcode@tab{1}#1}
|
||||||
|
\newcommand{\ENT}[1]{\mbox{\bfseries variables entières }\pcode@tab{1}#1}
|
||||||
|
\newcommand{\FLOAT}[1]{\mbox{\bfseries variables réelles }\pcode@tab{1}#1}
|
||||||
|
\newcommand{\REAL}[1]{\mbox{\bfseries variables réelles }\pcode@tab{1}#1}
|
||||||
|
\newcommand{\REEL}[1]{\mbox{\bfseries variables réelles }\pcode@tab{1}#1}
|
||||||
|
\newcommand{\STRING}[1]{\mbox{\bfseries chaînes de caractères }\pcode@tab{1}#1}
|
||||||
|
\newcommand{\CHAINE}[1]{\mbox{\bfseries chaînes de caractères }\pcode@tab{1}#1}
|
||||||
|
\newcommand{\ARRAY}[1]{\mbox{\bfseries tableaux }\pcode@tab{1}#1}
|
||||||
|
\newcommand{\TABLEAU}[1]{\mbox{\bfseries tableaux }\pcode@tab{1}#1}
|
||||||
|
\newcommand{\LOCAL}[1]{\mbox{\bfseries variables locales }\pcode@tab{1}#1}
|
||||||
|
\newcommand{\GLOBAL}[1]{\mbox{\bfseries variables globales }\pcode@tab{1}#1}
|
||||||
|
\newcommand{\EXTERNAL}[1]{\mbox{\bfseries variables externes }\pcode@tab{1}#1}
|
||||||
|
\newcommand{\EXTERNE}[1]{\mbox{\bfseries variables externes }\pcode@tab{1}#1}
|
||||||
|
\newcommand{\COMMENT}[1]%
|
||||||
|
{%
|
||||||
|
\vspace*{1ex}%
|
||||||
|
\mbox{\bfseries Commentaire: }\pcode@tab{.5} \mbox{#1}
|
||||||
|
}
|
||||||
|
\newcommand{\BEGIN}{\left\{\begin{array}{@{}lr@{}}}
|
||||||
|
\newcommand{\DEBUT}{\left\{\begin{array}{@{}lr@{}}}
|
||||||
|
\newcommand{\END}{\end{array}\right.}
|
||||||
|
\newcommand{\FIN}{\end{array}\right.}
|
||||||
|
\newcommand{\PROCEDURE}[2]%
|
||||||
|
{%
|
||||||
|
\mbox{\bfseries procédure }\pcode@AF{#1}(\ensuremath{#2})\\%
|
||||||
|
\begin{array}{@{\pcode@tab{1}}l@{}}%
|
||||||
|
}
|
||||||
|
\newcommand{\ENDPROCEDURE}{\vspace*{2ex}\end{array}\\ }
|
||||||
|
\newcommand{\FINPROCEDURE}{\vspace*{2ex}\end{array}\\ }
|
||||||
|
\newcommand{\CALL}[2]{\pcode@AF{#1}(#2)} %
|
||||||
|
\newcommand{\APPEL}[2]{\pcode@AF{#1}(#2)} %
|
||||||
|
\newcommand{\MAIN}{\mbox{\bfseries principal }\\\begin{array}{@{\pcode@tab{1}}lr@{}}}
|
||||||
|
\newcommand{\ENDMAIN}{\end{array}}
|
||||||
|
\newcommand{\RETURN}[1]{\ifthenelse{\equal{#1}{} }%
|
||||||
|
{\mbox{\bfseries fini }}%
|
||||||
|
{\mbox{\bfseries retourne }(#1)}}
|
||||||
|
\newcommand{\RETOURNE}[1]{\ifthenelse{\equal{#1}{} }%
|
||||||
|
{\mbox{\bfseries fini }}%
|
||||||
|
{\mbox{\bfseries retourne }(#1)}}
|
||||||
|
\newcommand{\INPUT}[1]{\mbox{\bfseries Entrer }(#1)}
|
||||||
|
\newcommand{\ENTRER}[1]{\mbox{\bfseries Entrer }(#1)}
|
||||||
|
\newcommand{\OUTPUT}[1]{\mbox{\bfseries Afficher }(#1)}
|
||||||
|
\newcommand{\AFF}[1]{\mbox{\bfseries Afficher }(#1)}
|
||||||
|
\newcommand{\EXIT}{\mbox{\bfseries quitte }}
|
||||||
|
\newcommand{\BREAK}{\mbox{\bfseries rompt }}
|
||||||
|
\newcommand{\IF}{\mbox{\bfseries si }}
|
||||||
|
\newcommand{\SI}{\mbox{\bfseries si }}
|
||||||
|
\newcommand{\LET}{\mbox{\bfseries soit }}
|
||||||
|
\newcommand{\SOIT}{\mbox{\bfseries soit }}
|
||||||
|
\newcommand{\THEN}{\\\pcode@tab{1}\mbox{ \bfseries alors }}
|
||||||
|
\newcommand{\ALORS}{\\\pcode@tab{1}\mbox{ \bfseries alors }}
|
||||||
|
\newcommand{\ELSE}{\\\pcode@tab{1}\mbox{ \bfseries sinon }}
|
||||||
|
\newcommand{\SINON}{\\\pcode@tab{1}\mbox{ \bfseries sinon }}
|
||||||
|
\newcommand{\ELSEIF}{\\\pcode@tab{1}\mbox{ \bfseries sinon, si }}
|
||||||
|
\newcommand{\SINONSI}{\\\pcode@tab{1}\mbox{ \bfseries sinon, si }}
|
||||||
|
\newcommand{\FOREACH}{\mbox{\bfseries pour chaque }}
|
||||||
|
\newcommand{\POURTOUT}{\mbox{\bfseries pour tout }}
|
||||||
|
\newcommand{\FORALL}{\mbox{\bfseries pour tout }}
|
||||||
|
\newcommand{\FOR}{\mbox{\bfseries pour }}
|
||||||
|
\newcommand{\POUR}{\mbox{\bfseries pour }}
|
||||||
|
\newcommand{\TO}{\mbox{ \bfseries jusqu'à }}
|
||||||
|
\newcommand{\JUSQUE}{\mbox{ \bfseries jusqu'à }}
|
||||||
|
\newcommand{\DOWNTO}{\mbox{ \bfseries descendant jusqu'à }}
|
||||||
|
\newcommand{\CASE}{\mbox{\bfseries selon }}
|
||||||
|
\newcommand{\SELON}{\mbox{\bfseries selon }}
|
||||||
|
\newcommand{\OF}{\\\pcode@tab{1}\mbox{ \bfseries parmi }\BEGIN}
|
||||||
|
\newcommand{\PARMI}{\\\pcode@tab{1}\mbox{ \bfseries parmi }\BEGIN}
|
||||||
|
\newcommand{\ENDCASE}{\END}
|
||||||
|
\newcommand{\FINSELON}{\END}
|
||||||
|
\newcommand{\AND}{\mbox{ \bfseries et }}
|
||||||
|
\newcommand{\ET}{\mbox{ \bfseries et }}
|
||||||
|
\newcommand{\OR}{\mbox{ \bfseries ou }}
|
||||||
|
\newcommand{\OU}{\mbox{ \bfseries ou }}
|
||||||
|
\newcommand{\NOT}{\mbox{ \bfseries non }}
|
||||||
|
\newcommand{\NON}{\mbox{ \bfseries non }}
|
||||||
|
\newcommand{\SUCCESS}{\mbox{ \bfseries succès }}
|
||||||
|
\newcommand{\SUCCES}{\mbox{ \bfseries succès }}
|
||||||
|
\newcommand{\FAIL}{\mbox{ \bfseries échec }}
|
||||||
|
\newcommand{\ECHEC}{\mbox{ \bfseries échec }}
|
||||||
|
\newcommand{\TRUE}{\mbox{ \bfseries vrai }}
|
||||||
|
\newcommand{\VRAI}{\mbox{ \bfseries vrai }}
|
||||||
|
\newcommand{\FALSE}{\mbox{ \bfseries faux }}
|
||||||
|
\newcommand{\FAUX}{\mbox{ \bfseries faux }}
|
||||||
|
\newcommand{\GOTO}{\mbox{\bfseries aller à }}
|
||||||
|
\newcommand{\DO}{\\\pcode@tab{1}\mbox{ \bfseries faire }}
|
||||||
|
\newcommand{\FAIRE}{\\\pcode@tab{1}\mbox{ \bfseries faire }}
|
||||||
|
\newcommand{\WHILE}{\mbox{\bfseries tant que }}
|
||||||
|
\newcommand{\TANTQUE}{\mbox{\bfseries tant que }}
|
||||||
|
\newcommand{\REPEAT}{\mbox{\bfseries répéter }\\\begin{array}{@{\pcode@tab{1}}lr@{}}}
|
||||||
|
\newcommand{\REPETE}{\mbox{\bfseries répéter }\\\begin{array}{@{\pcode@tab{1}}lr@{}}}
|
||||||
|
\newcommand{\UNTIL}{\end{array}\\\mbox{\bfseries jusqu'à }}
|
||||||
|
\newcommand{\JUSQUA}{\end{array}\\\mbox{\bfseries jusqu'à }}
|
||||||
|
\newcommand{\GETS}{\leftarrow}
|
||||||
|
\newcommand{\PREND}{\leftarrow}
|
||||||
|
\endinput
|
||||||
|
%% END pseudodcode.sty
|
||||||
|
|
||||||
31
tmp.mf
Normal file
31
tmp.mf
Normal file
@ -0,0 +1,31 @@
|
|||||||
|
% tmp.mf, generated by Mfpic, v0.9 2006/05/26,
|
||||||
|
% from TeX source "Lsystem" on 2011/03/16 at 14:10
|
||||||
|
numeric mfpicversion; mfpicversion:=90;
|
||||||
|
if unknown mode: mode = localfont; fi
|
||||||
|
if unknown mag: mag = 1000/1000; fi
|
||||||
|
if unknown grafbase: input grafbase; fi
|
||||||
|
|
||||||
|
if unknown grafbaseversion: grafbaseversion = 0; fi
|
||||||
|
if grafbaseversion <> mfpicversion :
|
||||||
|
GBmsg "Bad mfpic installation: mfpic and grafbase versions do not match.";
|
||||||
|
fi
|
||||||
|
|
||||||
|
|
||||||
|
%----------------------------<1>
|
||||||
|
unitlen := 1.0pt#;
|
||||||
|
xscale := 15; yscale := 15;
|
||||||
|
bounds (-3, 3, -3, 3);
|
||||||
|
|
||||||
|
beginmfpic(1); % line 666 in the TeX source.
|
||||||
|
|
||||||
|
axes (5.0pt);
|
||||||
|
|
||||||
|
store (curpath)
|
||||||
|
drawn
|
||||||
|
function (true) (-2,2,0.1) (((x**3)-x)/2);
|
||||||
|
|
||||||
|
endmfpic; % (1) line 669 in the TeX source.
|
||||||
|
%------------------------------------------
|
||||||
|
|
||||||
|
|
||||||
|
end.
|
||||||
50
tmp.mp
Normal file
50
tmp.mp
Normal file
@ -0,0 +1,50 @@
|
|||||||
|
% tmp.mp, generated by Mfpic, v0.9 2006/05/26,
|
||||||
|
% from TeX source "Lsystem" on 2011/03/16 at 14:08
|
||||||
|
numeric mfpicversion; mfpicversion:=90;
|
||||||
|
if unknown mode: mode = localfont; fi
|
||||||
|
if unknown mag: mag = 1000/1000; fi
|
||||||
|
if unknown grafbase: input grafbase; fi
|
||||||
|
|
||||||
|
if unknown grafbaseversion: grafbaseversion = 0; fi
|
||||||
|
if grafbaseversion <> mfpicversion :
|
||||||
|
GBmsg "Bad mfpic installation: mfpic and grafbase versions do not match.";
|
||||||
|
fi
|
||||||
|
|
||||||
|
if unknown Apricot: input dvipsnam.mp; fi
|
||||||
|
verbatimtex
|
||||||
|
\gdef \mpxshipout {\afterassignment \middlempxshipout \setbox 0=\hbox }%
|
||||||
|
\gdef \middlempxshipout {\aftergroup \finishmpxshipout }%
|
||||||
|
\gdef \finishmpxshipout {\dimen 1=\ht 0 \dimen 2=\dp 0
|
||||||
|
\dimen 0=\dimen 1 \advance \dimen 0\dimen 2
|
||||||
|
\setbox 0=\hbox {\hbox {\box 0
|
||||||
|
\ifnum \dimen 0>0 \vrule width1sp height\dimen 1 depth\dimen 2
|
||||||
|
\else \vrule width1sp height1sp depth0sp\relax
|
||||||
|
\fi }}%
|
||||||
|
\ht 0=0pt \dp 0=0pt \shipout \hbox {\box 0}}%
|
||||||
|
\def \MFPtext #1{\vbox {\def \\{\cr }\MFPcfont \everylabel
|
||||||
|
\halign {##\hfil \cr #1\crcr }}}%
|
||||||
|
|
||||||
|
\def \everylabel {}
|
||||||
|
etex;
|
||||||
|
|
||||||
|
|
||||||
|
%----------------------------<1>
|
||||||
|
unitlen := 1.0pt#;
|
||||||
|
xscale := 15; yscale := 15;
|
||||||
|
bounds (-3, 3, -3, 3);
|
||||||
|
|
||||||
|
beginmfpic(1); % line 666 in the TeX source.
|
||||||
|
verbatimtex \bgroup \font \MFPcfont =ecrm1095\relax etex;
|
||||||
|
|
||||||
|
axes (5.0pt);
|
||||||
|
|
||||||
|
store (curpath)
|
||||||
|
drawn
|
||||||
|
function (true) (-2,2,0.1) (((x**3)-x)/2);
|
||||||
|
|
||||||
|
verbatimtex \egroup etex;
|
||||||
|
endmfpic; % (1) line 669 in the TeX source.
|
||||||
|
%------------------------------------------
|
||||||
|
|
||||||
|
|
||||||
|
end.
|
||||||
48
tmp0.mp
Normal file
48
tmp0.mp
Normal file
@ -0,0 +1,48 @@
|
|||||||
|
% tmp0.mp, generated by Mfpic, v0.9 2006/05/26,
|
||||||
|
% from TeX source "Lsystem" on 2011/03/16 at 13:50
|
||||||
|
numeric mfpicversion; mfpicversion:=90;
|
||||||
|
if unknown mode: mode = localfont; fi
|
||||||
|
if unknown mag: mag = 1000/1000; fi
|
||||||
|
if unknown grafbase: input grafbase; fi
|
||||||
|
|
||||||
|
if unknown grafbaseversion: grafbaseversion = 0; fi
|
||||||
|
if grafbaseversion <> mfpicversion :
|
||||||
|
GBmsg "Bad mfpic installation: mfpic and grafbase versions do not match.";
|
||||||
|
fi
|
||||||
|
|
||||||
|
if unknown Apricot: input dvipsnam.mp; fi
|
||||||
|
verbatimtex
|
||||||
|
\gdef \mpxshipout {\afterassignment \middlempxshipout \setbox 0=\hbox }%
|
||||||
|
\gdef \middlempxshipout {\aftergroup \finishmpxshipout }%
|
||||||
|
\gdef \finishmpxshipout {\dimen 1=\ht 0 \dimen 2=\dp 0
|
||||||
|
\dimen 0=\dimen 1 \advance \dimen 0\dimen 2
|
||||||
|
\setbox 0=\hbox {\hbox {\box 0
|
||||||
|
\ifnum \dimen 0>0 \vrule width1sp height\dimen 1 depth\dimen 2
|
||||||
|
\else \vrule width1sp height1sp depth0sp\relax
|
||||||
|
\fi }}%
|
||||||
|
\ht 0=0pt \dp 0=0pt \shipout \hbox {\box 0}}%
|
||||||
|
\def \MFPtext #1{\vbox {\def \\{\cr }\MFPcfont \everylabel
|
||||||
|
\halign {##\hfil \cr #1\crcr }}}%
|
||||||
|
|
||||||
|
\def \everylabel {}
|
||||||
|
etex;
|
||||||
|
|
||||||
|
setvariable (boolean) (truebbox) true;
|
||||||
|
|
||||||
|
%----------------------------<1>
|
||||||
|
unitlen := 1.0pt#;
|
||||||
|
xscale := 1; yscale := 1;
|
||||||
|
bounds (0, 20, 0, 20);
|
||||||
|
|
||||||
|
beginmfpic(1); % line 665 in the TeX source.
|
||||||
|
verbatimtex \bgroup \font \MFPcfont =ecrm1095\relax etex;
|
||||||
|
draw (0,0)--(10,10)--(20,0)--(10,-10)--cycle ;
|
||||||
|
draw (0,-10)--(20,-10)--(20,10)--(0,10)--cycle ;
|
||||||
|
|
||||||
|
|
||||||
|
verbatimtex \egroup etex;
|
||||||
|
endmfpic; % (1) line 670 in the TeX source.
|
||||||
|
%------------------------------------------
|
||||||
|
|
||||||
|
|
||||||
|
end.
|
||||||
Loading…
Reference in New Issue
Block a user