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GNU GENERAL PUBLIC LICENSE
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Version 3, 29 June 2007
|
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|
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Copyright (C) 2007 Free Software Foundation, Inc. <http://fsf.org/>
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Everyone is permitted to copy and distribute verbatim copies
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of this license document, but changing it is not allowed.
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Preamble
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The GNU General Public License is a free, copyleft license for
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software and other kinds of works.
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|
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The licenses for most software and other practical works are designed
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to take away your freedom to share and change the works. By contrast,
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the GNU General Public License is intended to guarantee your freedom to
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share and change all versions of a program--to make sure it remains free
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software for all its users. We, the Free Software Foundation, use the
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GNU General Public License for most of our software; it applies also to
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any other work released this way by its authors. You can apply it to
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your programs, too.
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When we speak of free software, we are referring to freedom, not
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have the freedom to distribute copies of free software (and charge for
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To protect your rights, we need to prevent others from denying you
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For example, if you distribute copies of such a program, whether
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Finally, every program is threatened constantly by software patents.
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The precise terms and conditions for copying, distribution and
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TERMS AND CONDITIONS
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0. Definitions.
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"This License" refers to version 3 of the GNU General Public License.
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"Copyright" also means copyright-like laws that apply to other kinds of
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To "propagate" a work means to do anything with it that, without
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An interactive user interface displays "Appropriate Legal Notices"
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The Corresponding Source need not include anything that users
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The Corresponding Source for a work in source code form is that
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||||
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||||
All rights granted under this License are granted for the term of
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||||
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||||
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||||
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||||
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You may make, run and propagate covered works that you do not
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Conveying under any other circumstances is permitted solely under
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No covered work shall be deemed part of an effective technological
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||||
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||||
When you convey a covered work, you waive any legal power to forbid
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||||
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||||
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||||
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||||
You may convey verbatim copies of the Program's source code as you
|
||||
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||||
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||||
keep intact all notices of the absence of any warranty; and give all
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||||
You may charge any price or no price for each copy that you convey,
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||||
You may convey a work based on the Program, or the modifications to
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||||
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|
||||
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||||
|
||||
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|
||||
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|
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||||
"keep intact all notices".
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||||
|
||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
d) If the work has interactive user interfaces, each must display
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||||
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A compilation of a covered work with other separate and independent
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in or on a volume of a storage or distribution medium, is called an
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||||
used to limit the access or legal rights of the compilation's users
|
||||
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|
||||
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|
||||
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||||
|
||||
6. Conveying Non-Source Forms.
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||||
|
||||
You may convey a covered work in object code form under the terms
|
||||
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|
||||
machine-readable Corresponding Source under the terms of this License,
|
||||
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||||
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||||
a) Convey the object code in, or embodied in, a physical product
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||||
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||||
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||||
customarily used for software interchange.
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||||
b) Convey the object code in, or embodied in, a physical product
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|
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written offer, valid for at least three years and valid for as
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||||
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||||
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|
||||
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|
||||
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||||
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||||
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|
||||
d) Convey the object code by offering access from a designated
|
||||
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copy the object code is a network server, the Corresponding Source
|
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may be on a different server (operated by you or a third party)
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||||
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||||
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||||
|
||||
e) Convey the object code using peer-to-peer transmission, provided
|
||||
you inform other peers where the object code and Corresponding
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Source of the work are being offered to the general public at no
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|
||||
A separable portion of the object code, whose source code is excluded
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||||
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|
||||
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|
||||
A "User Product" is either (1) a "consumer product", which means any
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||||
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||||
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|
||||
typical or common use of that class of product, regardless of the status
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commercial, industrial or non-consumer uses, unless such uses represent
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||||
the only significant mode of use of the product.
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|
||||
"Installation Information" for a User Product means any methods,
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||||
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|
||||
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|
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|
||||
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|
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|
||||
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|
||||
If you convey an object code work under this section in, or with, or
|
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specifically for use in, a User Product, and the conveying occurs as
|
||||
part of a transaction in which the right of possession and use of the
|
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Corresponding Source conveyed under this section must be accompanied
|
||||
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|
||||
if neither you nor any third party retains the ability to install
|
||||
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|
||||
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|
||||
The requirement to provide Installation Information does not include a
|
||||
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|
||||
for a work that has been modified or installed by the recipient, or for
|
||||
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|
||||
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|
||||
adversely affects the operation of the network or violates the rules and
|
||||
protocols for communication across the network.
|
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|
||||
Corresponding Source conveyed, and Installation Information provided,
|
||||
in accord with this section must be in a format that is publicly
|
||||
documented (and with an implementation available to the public in
|
||||
source code form), and must require no special password or key for
|
||||
unpacking, reading or copying.
|
||||
|
||||
7. Additional Terms.
|
||||
|
||||
"Additional permissions" are terms that supplement the terms of this
|
||||
License by making exceptions from one or more of its conditions.
|
||||
Additional permissions that are applicable to the entire Program shall
|
||||
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|
||||
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|
||||
apply only to part of the Program, that part may be used separately
|
||||
under those permissions, but the entire Program remains governed by
|
||||
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|
||||
|
||||
When you convey a copy of a covered work, you may at your option
|
||||
remove any additional permissions from that copy, or from any part of
|
||||
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|
||||
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|
||||
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|
||||
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||||
|
||||
Notwithstanding any other provision of this License, for material you
|
||||
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|
||||
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|
||||
|
||||
a) Disclaiming warranty or limiting liability differently from the
|
||||
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|
||||
|
||||
b) Requiring preservation of specified reasonable legal notices or
|
||||
author attributions in that material or in the Appropriate Legal
|
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Notices displayed by works containing it; or
|
||||
|
||||
c) Prohibiting misrepresentation of the origin of that material, or
|
||||
requiring that modified versions of such material be marked in
|
||||
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||||
|
||||
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|
||||
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|
||||
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|
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||||
|
||||
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|
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|
||||
those licensors and authors.
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||||
|
||||
All other non-permissive additional terms are considered "further
|
||||
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|
||||
received it, or any part of it, contains a notice stating that it is
|
||||
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|
||||
restriction, you may remove that term. If a license document contains
|
||||
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|
||||
License, you may add to a covered work material governed by the terms
|
||||
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||||
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|
||||
If you add terms to a covered work in accord with this section, you
|
||||
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|
||||
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|
||||
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|
||||
|
||||
Additional terms, permissive or non-permissive, may be stated in the
|
||||
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|
||||
the above requirements apply either way.
|
||||
|
||||
8. Termination.
|
||||
|
||||
You may not propagate or modify a covered work except as expressly
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
|
||||
However, if you cease all violation of this License, then your
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
|
||||
Moreover, your license from a particular copyright holder is
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
|
||||
Termination of your rights under this section does not terminate the
|
||||
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||||
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|
||||
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|
||||
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|
||||
|
||||
9. Acceptance Not Required for Having Copies.
|
||||
|
||||
You are not required to accept this License in order to receive or
|
||||
run a copy of the Program. Ancillary propagation of a covered work
|
||||
occurring solely as a consequence of using peer-to-peer transmission
|
||||
to receive a copy likewise does not require acceptance. However,
|
||||
nothing other than this License grants you permission to propagate or
|
||||
modify any covered work. These actions infringe copyright if you do
|
||||
not accept this License. Therefore, by modifying or propagating a
|
||||
covered work, you indicate your acceptance of this License to do so.
|
||||
|
||||
10. Automatic Licensing of Downstream Recipients.
|
||||
|
||||
Each time you convey a covered work, the recipient automatically
|
||||
receives a license from the original licensors, to run, modify and
|
||||
propagate that work, subject to this License. You are not responsible
|
||||
for enforcing compliance by third parties with this License.
|
||||
|
||||
An "entity transaction" is a transaction transferring control of an
|
||||
organization, or substantially all assets of one, or subdividing an
|
||||
organization, or merging organizations. If propagation of a covered
|
||||
work results from an entity transaction, each party to that
|
||||
transaction who receives a copy of the work also receives whatever
|
||||
licenses to the work the party's predecessor in interest had or could
|
||||
give under the previous paragraph, plus a right to possession of the
|
||||
Corresponding Source of the work from the predecessor in interest, if
|
||||
the predecessor has it or can get it with reasonable efforts.
|
||||
|
||||
You may not impose any further restrictions on the exercise of the
|
||||
rights granted or affirmed under this License. For example, you may
|
||||
not impose a license fee, royalty, or other charge for exercise of
|
||||
rights granted under this License, and you may not initiate litigation
|
||||
(including a cross-claim or counterclaim in a lawsuit) alleging that
|
||||
any patent claim is infringed by making, using, selling, offering for
|
||||
sale, or importing the Program or any portion of it.
|
||||
|
||||
11. Patents.
|
||||
|
||||
A "contributor" is a copyright holder who authorizes use under this
|
||||
License of the Program or a work on which the Program is based. The
|
||||
work thus licensed is called the contributor's "contributor version".
|
||||
|
||||
A contributor's "essential patent claims" are all patent claims
|
||||
owned or controlled by the contributor, whether already acquired or
|
||||
hereafter acquired, that would be infringed by some manner, permitted
|
||||
by this License, of making, using, or selling its contributor version,
|
||||
but do not include claims that would be infringed only as a
|
||||
consequence of further modification of the contributor version. For
|
||||
purposes of this definition, "control" includes the right to grant
|
||||
patent sublicenses in a manner consistent with the requirements of
|
||||
this License.
|
||||
|
||||
Each contributor grants you a non-exclusive, worldwide, royalty-free
|
||||
patent license under the contributor's essential patent claims, to
|
||||
make, use, sell, offer for sale, import and otherwise run, modify and
|
||||
propagate the contents of its contributor version.
|
||||
|
||||
In the following three paragraphs, a "patent license" is any express
|
||||
agreement or commitment, however denominated, not to enforce a patent
|
||||
(such as an express permission to practice a patent or covenant not to
|
||||
sue for patent infringement). To "grant" such a patent license to a
|
||||
party means to make such an agreement or commitment not to enforce a
|
||||
patent against the party.
|
||||
|
||||
If you convey a covered work, knowingly relying on a patent license,
|
||||
and the Corresponding Source of the work is not available for anyone
|
||||
to copy, free of charge and under the terms of this License, through a
|
||||
publicly available network server or other readily accessible means,
|
||||
then you must either (1) cause the Corresponding Source to be so
|
||||
available, or (2) arrange to deprive yourself of the benefit of the
|
||||
patent license for this particular work, or (3) arrange, in a manner
|
||||
consistent with the requirements of this License, to extend the patent
|
||||
license to downstream recipients. "Knowingly relying" means you have
|
||||
actual knowledge that, but for the patent license, your conveying the
|
||||
covered work in a country, or your recipient's use of the covered work
|
||||
in a country, would infringe one or more identifiable patents in that
|
||||
country that you have reason to believe are valid.
|
||||
|
||||
If, pursuant to or in connection with a single transaction or
|
||||
arrangement, you convey, or propagate by procuring conveyance of, a
|
||||
covered work, and grant a patent license to some of the parties
|
||||
receiving the covered work authorizing them to use, propagate, modify
|
||||
or convey a specific copy of the covered work, then the patent license
|
||||
you grant is automatically extended to all recipients of the covered
|
||||
work and works based on it.
|
||||
|
||||
A patent license is "discriminatory" if it does not include within
|
||||
the scope of its coverage, prohibits the exercise of, or is
|
||||
conditioned on the non-exercise of one or more of the rights that are
|
||||
specifically granted under this License. You may not convey a covered
|
||||
work if you are a party to an arrangement with a third party that is
|
||||
in the business of distributing software, under which you make payment
|
||||
to the third party based on the extent of your activity of conveying
|
||||
the work, and under which the third party grants, to any of the
|
||||
parties who would receive the covered work from you, a discriminatory
|
||||
patent license (a) in connection with copies of the covered work
|
||||
conveyed by you (or copies made from those copies), or (b) primarily
|
||||
for and in connection with specific products or compilations that
|
||||
contain the covered work, unless you entered into that arrangement,
|
||||
or that patent license was granted, prior to 28 March 2007.
|
||||
|
||||
Nothing in this License shall be construed as excluding or limiting
|
||||
any implied license or other defenses to infringement that may
|
||||
otherwise be available to you under applicable patent law.
|
||||
|
||||
12. No Surrender of Others' Freedom.
|
||||
|
||||
If conditions are imposed on you (whether by court order, agreement or
|
||||
otherwise) that contradict the conditions of this License, they do not
|
||||
excuse you from the conditions of this License. If you cannot convey a
|
||||
covered work so as to satisfy simultaneously your obligations under this
|
||||
License and any other pertinent obligations, then as a consequence you may
|
||||
not convey it at all. For example, if you agree to terms that obligate you
|
||||
to collect a royalty for further conveying from those to whom you convey
|
||||
the Program, the only way you could satisfy both those terms and this
|
||||
License would be to refrain entirely from conveying the Program.
|
||||
|
||||
13. Use with the GNU Affero General Public License.
|
||||
|
||||
Notwithstanding any other provision of this License, you have
|
||||
permission to link or combine any covered work with a work licensed
|
||||
under version 3 of the GNU Affero General Public License into a single
|
||||
combined work, and to convey the resulting work. The terms of this
|
||||
License will continue to apply to the part which is the covered work,
|
||||
but the special requirements of the GNU Affero General Public License,
|
||||
section 13, concerning interaction through a network will apply to the
|
||||
combination as such.
|
||||
|
||||
14. Revised Versions of this License.
|
||||
|
||||
The Free Software Foundation may publish revised and/or new versions of
|
||||
the GNU General Public License from time to time. Such new versions will
|
||||
be similar in spirit to the present version, but may differ in detail to
|
||||
address new problems or concerns.
|
||||
|
||||
Each version is given a distinguishing version number. If the
|
||||
Program specifies that a certain numbered version of the GNU General
|
||||
Public License "or any later version" applies to it, you have the
|
||||
option of following the terms and conditions either of that numbered
|
||||
version or of any later version published by the Free Software
|
||||
Foundation. If the Program does not specify a version number of the
|
||||
GNU General Public License, you may choose any version ever published
|
||||
by the Free Software Foundation.
|
||||
|
||||
If the Program specifies that a proxy can decide which future
|
||||
versions of the GNU General Public License can be used, that proxy's
|
||||
public statement of acceptance of a version permanently authorizes you
|
||||
to choose that version for the Program.
|
||||
|
||||
Later license versions may give you additional or different
|
||||
permissions. However, no additional obligations are imposed on any
|
||||
author or copyright holder as a result of your choosing to follow a
|
||||
later version.
|
||||
|
||||
15. Disclaimer of Warranty.
|
||||
|
||||
THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY
|
||||
APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT
|
||||
HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY
|
||||
OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO,
|
||||
THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
|
||||
PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM
|
||||
IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF
|
||||
ALL NECESSARY SERVICING, REPAIR OR CORRECTION.
|
||||
|
||||
16. Limitation of Liability.
|
||||
|
||||
IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
|
||||
WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS
|
||||
THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY
|
||||
GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE
|
||||
USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF
|
||||
DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD
|
||||
PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),
|
||||
EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF
|
||||
SUCH DAMAGES.
|
||||
|
||||
17. Interpretation of Sections 15 and 16.
|
||||
|
||||
If the disclaimer of warranty and limitation of liability provided
|
||||
above cannot be given local legal effect according to their terms,
|
||||
reviewing courts shall apply local law that most closely approximates
|
||||
an absolute waiver of all civil liability in connection with the
|
||||
Program, unless a warranty or assumption of liability accompanies a
|
||||
copy of the Program in return for a fee.
|
||||
|
||||
END OF TERMS AND CONDITIONS
|
||||
|
||||
How to Apply These Terms to Your New Programs
|
||||
|
||||
If you develop a new program, and you want it to be of the greatest
|
||||
possible use to the public, the best way to achieve this is to make it
|
||||
free software which everyone can redistribute and change under these terms.
|
||||
|
||||
To do so, attach the following notices to the program. It is safest
|
||||
to attach them to the start of each source file to most effectively
|
||||
state the exclusion of warranty; and each file should have at least
|
||||
the "copyright" line and a pointer to where the full notice is found.
|
||||
|
||||
TP_latex
|
||||
Copyright (C) 2019 Guyot
|
||||
|
||||
This program is free software: you can redistribute it and/or modify
|
||||
it under the terms of the GNU General Public License as published by
|
||||
the Free Software Foundation, either version 3 of the License, or
|
||||
(at your option) any later version.
|
||||
|
||||
This program is distributed in the hope that it will be useful,
|
||||
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||
GNU General Public License for more details.
|
||||
|
||||
You should have received a copy of the GNU General Public License
|
||||
along with this program. If not, see <http://www.gnu.org/licenses/>.
|
||||
|
||||
Also add information on how to contact you by electronic and paper mail.
|
||||
|
||||
If the program does terminal interaction, make it output a short
|
||||
notice like this when it starts in an interactive mode:
|
||||
|
||||
TP_latex Copyright (C) 2019 Guyot
|
||||
This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
|
||||
This is free software, and you are welcome to redistribute it
|
||||
under certain conditions; type `show c' for details.
|
||||
|
||||
The hypothetical commands `show w' and `show c' should show the appropriate
|
||||
parts of the General Public License. Of course, your program's commands
|
||||
might be different; for a GUI interface, you would use an "about box".
|
||||
|
||||
You should also get your employer (if you work as a programmer) or school,
|
||||
if any, to sign a "copyright disclaimer" for the program, if necessary.
|
||||
For more information on this, and how to apply and follow the GNU GPL, see
|
||||
<http://www.gnu.org/licenses/>.
|
||||
|
||||
The GNU General Public License does not permit incorporating your program
|
||||
into proprietary programs. If your program is a subroutine library, you
|
||||
may consider it more useful to permit linking proprietary applications with
|
||||
the library. If this is what you want to do, use the GNU Lesser General
|
||||
Public License instead of this License. But first, please read
|
||||
<http://www.gnu.org/philosophy/why-not-lgpl.html>.
|
||||
Binary file not shown.
|
|
@ -0,0 +1,663 @@
|
|||
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|
||||
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|
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|
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|
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|
||||
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|
||||
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|
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|
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|
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|
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|
@ -0,0 +1,14 @@
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set terminal epslatex color dashed
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|
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set sample 1000
|
||||
set xr [0:110]
|
||||
set yr [0:20]
|
||||
set xlabel 'Masse (\si{\gram})' # attention il faut parfois utiliser certains guillemets
|
||||
# notamment quand on utilise la commande \si, il faut impérativement des primes '...'
|
||||
set ylabel "Période (puls)"
|
||||
#plot test.txt w l lc 1 t "$\sin(x)$",cos(x) w l lc 2 t "$\cos(x)$",tan(x) w l lc 3 t "$\tan(x)$",tanh(x) w l lc 4 t "$\tanh(x)$"
|
||||
plot 'test.txt'\
|
||||
index 2 u 1:2:3 title 'Petites masses' w yerrorbars pt 4
|
||||
|
|
@ -0,0 +1,108 @@
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|
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showpage
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%%Trailer
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|
|
@ -0,0 +1,63 @@
|
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set terminal epslatex color dashed
|
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set output 'ModeleLaTeX_TP-gnuplottex-fig2.tex'
|
||||
set format '\num{%g}'
|
||||
# Le terminal epslatex (excellent) est utilisé pour faire le graphe
|
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# on utilise des couleurs et éventuellement des traitillés
|
||||
# on diminue légèrement la taille du graphe par rapport à la pleine page
|
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# ---
|
||||
|
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# Déclaration du titre
|
||||
# ---
|
||||
# ici désactivé car c'est LaTeX qui le fait
|
||||
|
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#set title 'Équivalent Joule-Calorie\\ \small Une belle expérience'
|
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|
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# Placement de la légende (key)
|
||||
# ---
|
||||
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|
||||
|
||||
set key box left Left spacing 1.5
|
||||
|
||||
# Création du fit des données
|
||||
# ---
|
||||
# la fonction de fit
|
||||
|
||||
f(x)=a*x**2+b*x
|
||||
|
||||
# l'index 0 indique que les données sont dans le premier tableau du fichier
|
||||
# on utilise (u) les deux premières colonnes et les paramètres de fit sont a et b
|
||||
|
||||
fit f(x) 'test.txt' index 0 u 1:2 via a,b
|
||||
|
||||
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|
||||
# ---
|
||||
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|
||||
# remarquez l'utilisation de siunitx via \si
|
||||
|
||||
set ylabel '\rotatebox{0}{$\Delta \theta$ (\si{\celsius})}'
|
||||
set xlabel 'Nombre de tours N'
|
||||
|
||||
# Tracé des graphes
|
||||
# ---
|
||||
# les intervalles sur x et y sont spécifiés en premier [...][...]
|
||||
# le fichier des données est spécifié (test.txt)
|
||||
# le premier bloc de données est utilisé (index 0)
|
||||
# les quatre premières colonnes sont utilisées u 1:2:3:4
|
||||
# le titre de la légende est spécifié title ...
|
||||
# les barres d'erreurs sont demandées (par défaut il s'agit des colonnes 3 et 4
|
||||
# ---
|
||||
# puis un deuxième graphe est demandé sur la base des même données test.txt
|
||||
# utilisant pour x la première colonne et pour y la cinquième
|
||||
# noté dans la légende "Une droite"
|
||||
# ---
|
||||
# puis le fit des données est demandé comme troisième graphe avec la fonction f(x)
|
||||
# légendé "Regres. polynom."
|
||||
# ---
|
||||
# remarquez l'utilisation d'un backslash (\) pour passer à la ligne et les
|
||||
# abréviations comme u, t, w et lc pour using, title, with et linecolor
|
||||
|
||||
plot [0:7][0:45]\
|
||||
'test.txt' index 0 u 1:2:3:4 t 'Une puissance' w xyerrorbars,\
|
||||
'test.txt' index 0 using 1:5 title 'Une droite' linecolor 'red',\
|
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f(x) title 'Régres. polynom.' lc 'blue'
|
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|
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|
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|
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|
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|
||||
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|
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||||
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|
||||
hpt2 neg 0 V closepath stroke
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||||
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||||
hpt2 vpt2 neg V currentpoint stroke M
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||||
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||||
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hpt 2 mul 0 V
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hpt neg vpt 1.62 mul V closepath stroke
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hpt neg vpt -1.62 mul V
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hpt 2 mul 0 V
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hpt neg vpt 1.62 mul V
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hpt 2 mul 0 V
|
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|
||||
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|
||||
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||||
hpt neg vpt 1.62 mul V
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hpt 2 mul 0 V
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translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
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closepath stroke grestore Pnt} def
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translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
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closepath fill grestore} def
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||||
2 copy vpt 0 90 arc closepath fill
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2 copy vpt 90 180 arc closepath fill
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2 copy vpt 0 180 arc closepath fill
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||||
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2 copy vpt 180 270 arc closepath fill
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2 copy vpt 0 90 arc
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2 copy moveto
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2 copy vpt 90 270 arc closepath fill
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vpt 0 360 arc closepath} bind def
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2 copy vpt 0 270 arc closepath fill
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2 copy vpt 270 450 arc closepath fill
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vpt 0 360 arc closepath} bind def
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2 copy moveto
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2 copy vpt 90 180 arc closepath fill
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vpt 0 360 arc closepath} bind def
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/C11 {BL [] 0 setdash 2 copy moveto
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2 copy vpt 0 180 arc closepath fill
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2 copy moveto
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2 copy vpt 270 360 arc closepath fill
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vpt 0 360 arc closepath} bind def
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2 copy vpt 180 360 arc closepath fill
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vpt 0 360 arc closepath} bind def
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/C13 {BL [] 0 setdash 2 copy moveto
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||||
2 copy vpt 0 90 arc closepath fill
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2 copy moveto
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2 copy vpt 180 360 arc closepath fill
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vpt 0 360 arc closepath} bind def
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2 copy vpt 90 360 arc closepath fill
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vpt 0 360 arc closepath} bind def
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neg 0 rlineto closepath} bind def
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2 copy vpt Square fill Bsquare} bind def
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0 vpt2 neg V hpt2 0 V 0 vpt2 V
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hpt neg vpt -1.62 mul V
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hpt 2 mul 0 V
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hpt neg vpt 1.62 mul V closepath stroke} def
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hpt neg vpt 1.62 mul V
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hpt 2 mul 0 V
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translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
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closepath stroke grestore} def
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hpt 0 360 arc stroke} def
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hpt neg vpt neg V hpt vpt neg V
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hpt vpt V hpt neg vpt V Opaque stroke} def
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0 vpt2 neg V hpt2 0 V 0 vpt2 V
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hpt2 neg 0 V Opaque stroke} def
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hpt neg vpt -1.62 mul V
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hpt 2 mul 0 V
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hpt neg vpt 1.62 mul V Opaque stroke} def
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hpt neg vpt 1.62 mul V
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hpt 2 mul 0 V
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hpt neg vpt -1.62 mul V Opaque stroke} def
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/PentW {stroke [] 0 setdash gsave
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translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
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Opaque stroke grestore} def
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/CircW {stroke [] 0 setdash
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hpt 0 360 arc Opaque stroke} def
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/BoxFill {gsave Rec 1 setgray fill grestore} def
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/Density {
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/Fillden exch def
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currentrgbcolor
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/ColB exch def /ColG exch def /ColR exch def
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/ColR ColR Fillden mul Fillden sub 1 add def
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/ColG ColG Fillden mul Fillden sub 1 add def
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/ColB ColB Fillden mul Fillden sub 1 add def
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ColR ColG ColB setrgbcolor} def
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/PolyFill {gsave Density fill grestore grestore} def
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/h {rlineto rlineto rlineto closepath gsave fill grestore stroke} bind def
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%
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% PostScript Level 1 Pattern Fill routine for rectangles
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% Usage: x y w h s a XX PatternFill
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% x,y = lower left corner of box to be filled
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% w,h = width and height of box
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% XX = 0/1 for no/yes cross-hatch
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%
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PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate
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PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec
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clip
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currentlinewidth 0.5 mul setlinewidth
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0 0 M PFa 5 get rotate PFs -2 div dup translate
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0 1 PFs PFa 4 get div 1 add floor cvi
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{PFa 4 get mul 0 M 0 PFs V} for
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0 PFa 6 get ne {
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0 1 PFs PFa 4 get div 1 add floor cvi
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{PFa 4 get mul 0 2 1 roll M PFs 0 V} for
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} if
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stroke grestore} def
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%
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/languagelevel where
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{pop languagelevel} {1} ifelse
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dup 2 lt
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{/InterpretLevel1 true def
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/InterpretLevel3 false def}
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{/InterpretLevel1 Level1 def
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2 gt
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{/InterpretLevel3 Level3 def}
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{/InterpretLevel3 false def}
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ifelse }
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ifelse
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%
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bind def
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>> matrix makepattern
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/Pat1 exch def
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<< Tile8x8
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0 4 M 4 8 L 8 4 L 4 0 L 0 4 L stroke}
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>> matrix makepattern
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/Pat2 exch def
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<< Tile8x8
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8 8 L 8 0 L 0 0 L fill}
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>> matrix makepattern
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<< Tile8x8
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0 12 M 12 0 L stroke}
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>> matrix makepattern
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/PaintProc {0.5 setlinewidth pop -4 0 M 8 12 L
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0 -4 M 12 8 L stroke}
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>> matrix makepattern
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/Pat5 exch def
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0 12 M 8 -4 L 4 12 M 10 0 L stroke}
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12 0 M -4 8 L 12 4 M 0 10 L stroke}
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/PaintProc {0.5 setlinewidth pop 0 -2 M 12 4 L
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-4 0 M 12 8 L -4 4 M 8 10 L stroke}
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/Pat9 exch def
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/Pattern1 {PatternBgnd KeepColor Pat1 setpattern} bind def
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/Pattern2 {PatternBgnd KeepColor Pat2 setpattern} bind def
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/Pattern3 {PatternBgnd KeepColor Pat3 setpattern} bind def
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/Pattern4 {PatternBgnd KeepColor Landscape {Pat5} {Pat4} ifelse setpattern} bind def
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/Pattern7 {PatternBgnd KeepColor Landscape {Pat8} {Pat7} ifelse setpattern} bind def
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} def
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%
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%
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%End of PostScript Level 2 code
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%
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/PatternBgnd {
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TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse
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%
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% Substitute for Level 2 pattern fill codes with
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% grayscale if Level 2 support is not selected.
|
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%
|
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/Level1PatternFill {
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/Pattern1 {0.250 Density} bind def
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/Pattern7 {0.875 Density} bind def
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} def
|
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%
|
||||
% Now test for support of Level 2 code
|
||||
%
|
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Level1 {Level1PatternFill} {Level2PatternFill} ifelse
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%
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dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall
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currentdict end definefont pop
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%
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Level1 SuppressPDFMark or
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{} {
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systemdict /pdfmark known not {
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SDict begin [
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/Title (ModeleLaTeX_TP-gnuplottex-fig3.tex)
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|
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/DOCINFO pdfmark
|
||||
end
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|
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% Support for boxed text - Ethan A Merritt Sep 2016
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%
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userdict /TBy1 3 -1 roll put userdict /TBx1 3 -1 roll put
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{ Boxing { gsave dup false charpath pathbbox
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||||
dup TBx2 gt {userdict /TBx2 3 -1 roll put} {pop} ifelse
|
||||
dup TBy1 lt {userdict /TBy1 3 -1 roll put} {pop} ifelse
|
||||
dup TBx1 lt {userdict /TBx1 3 -1 roll put} {pop} ifelse
|
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grestore } if }
|
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{} ifelse} def
|
||||
/PopTextBox { newpath TBx1 TBxmargin sub TBy1 TBymargin sub M
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TBx2 TBxmargin add TBy2 TBymargin add L
|
||||
TBx2 TBxmargin add TBy1 TBymargin sub L closepath } def
|
||||
/DrawTextBox { PopTextBox stroke /Boxing false def} def
|
||||
/FillTextBox { gsave PopTextBox fill grestore /Boxing false def} def
|
||||
0 0 0 0 InitTextBox
|
||||
/TBxmargin 20 def
|
||||
/TBymargin 20 def
|
||||
/Boxing false def
|
||||
/textshow { ExtendTextBox Gshow } def
|
||||
%
|
||||
end
|
||||
%%EndProlog
|
||||
%%Page: 1 1
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||||
gnudict begin
|
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gsave
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doclip
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50 50 translate
|
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0.050 0.050 scale
|
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0 setgray
|
||||
newpath
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1.000 UL
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\T1/lmr/m/n/12 Pour cela, il faut lan-cer L[]T[]Xavec les deux ar-gu-ments [][]
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\T1/lmtt/m/n/12 -enable-write18 -shell-escape[]\T1/lmr/m/n/12 .
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[16] (./ModeleLaTeX_TP.aux) )
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@ -0,0 +1,618 @@
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% scrartcl est la classe d'articles de Koma-script
|
||||
% qui gère nativement le format A4 ;
|
||||
% utilisez article pour un format de papier américain.
|
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|
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%\documentclass[11pt,a4paper]{article}
|
||||
\documentclass[12pt,a4paper,twoside]{scrartcl}
|
||||
|
||||
% import des packages nécessaires.
|
||||
\usepackage{TP}
|
||||
|
||||
\author{Nom des auteurs, classe}
|
||||
\title{Titre explicite du travail pratique}
|
||||
|
||||
\begin{document}
|
||||
\maketitle
|
||||
\renewcommand{\tablename}{Tableau}
|
||||
|
||||
\section{But}
|
||||
Placez ici le but de l'expérience en une ou deux lignes.
|
||||
Pour les références bibliographique, voyez à la fin du document pour le code et la référence \cite{Guyot2022}.
|
||||
|
||||
\medskip
|
||||
Par exemple, pour l'expérience du pendule, on pourrait écrire :
|
||||
|
||||
\smallskip
|
||||
Pour l'étude d'un pendule simple, nous avons retenu la période de celui-ci comme grandeur accessible et facile à mesurer. Parmi les nombreux paramètres dont elle pourrait dépendre, il nous a semblé que la masse, la longueur et l'angle initial du pendule devaient être les plus importants. Comme il sont facilement mesurable, nous avons décidé de découvrir leur influence sur la période.
|
||||
|
||||
\section{Théorie}
|
||||
On place ici les théories en rapport avec l'expérience réalisées. On peut aussi placer les équations nécessaires à déterminer les grandeurs expérimentales dérivées des mesures brutes.
|
||||
|
||||
\medskip
|
||||
Par exemple, toujours pour le pendule simple, on pourrait dire qu'une première réflexion nous a amené à penser que seul l'angle n'est probablement pas un paramètre influençant la période.
|
||||
|
||||
Puis, qu'après des recherches sur internet, deux équations permettant de déterminer la période uniquement en fonction de la longueur sont souvent présentées. La première, l'équation \ref{equation:premiere}, est la plus présente, mais l'équation \ref{equation:seconde} l'est aussi et il se trouve même un cas où les deux sont simultanément présentes, sans plus d'explications.
|
||||
\begin{align}
|
||||
T=2\cdot \pi\cdot \sqrt{\frac{L}{g}} \label{equation:premiere}\\
|
||||
T=2\cdot \pi\cdot\frac{L}{g} \label{equation:seconde}
|
||||
\end{align}
|
||||
|
||||
Les équations \ref{equation:premiere} et \ref{equation:seconde} sont donc à considérer comme théories possibles.
|
||||
|
||||
\medskip
|
||||
Quant à nous, nous avons développé une théorie qui mène à l'équation \ref{equation:laperso}, qui sera donc aussi à vérifier.
|
||||
\begin{equation}\label{equation:laperso}
|
||||
T=2\cdot \frac{L}{m}
|
||||
\end{equation}
|
||||
Nous avons pourtant hésité avec une variante de l'équation \label{equation:perso} ou la période augmente avec la masse \(T=2\cdot L\cdot m\).
|
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|
||||
\medskip
|
||||
Remarquez que techniquement pour mettre une équation unique hors ligne avec un numéro de référence il faut utiliser l'environnement \verb|equation|
|
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\begin{verbatim}
|
||||
\begin{equation}
|
||||
equation
|
||||
\end{equation}
|
||||
\end{verbatim}
|
||||
alors que si on ne désire pas de numérotation, il faut utiliser l'environnement étoilé \verb|equation*|, qui est équivalent à la notation \verb|\[equation\]|. Pour une équation en ligne (à l'intérieur d'une ligne), il faut utiliser la notation \verb|\(equation\)|.
|
||||
|
||||
Enfin, sur le net, on trouve les notation \verb|$equation$| et \verb|$$equation$$| pour des équations respectivement en ligne et hors ligne, mais celles-ci sont dépréciées et il ne faut plus les utiliser.
|
||||
|
||||
\section{Dispositif expérimental}
|
||||
Placez ici la description de l'expérience (une méthode et non une procédure) et le schéma du dispositif expérimental. La figure \ref{figure:dispos2} en donne un exemple (image flottante, c'est normal !). La méthode comprend une description du dispositif, de la manière de réaliser les mesures en fonction des paramètres choisis et des conditions spéciales auxquelles il faut faire attention (comme une vitesse initiale nulle par exemple : le lâcher du pendule).
|
||||
|
||||
Remarquez que le schéma du dispositif expérimental (Figure \ref{figure:dispos2}) doit être réalisé avec \emph{inkscape}, qu'il faut l’enregistrer dans le répertoire \emph{FichiersDivers} au format .svg. Puis, quand il est terminé, il doit être \emph{Enregistré comme copie} au format .eps. En effet, le format svg permet des modifications (voyez cela comme le format de fichier natif d'un logiciel comme Gimp, incluant tous les caques et l'historique des modifications), alors que eps est une image vectorielle indépendante du facteur d'échelle, mais difficilement modifiable (comme une image pdf). Enfin, il faut effectuer une opération décrite dans l'annexe \ref{annexe:schema}, pour que les fontes \LaTeX{} soient utilisées directement dans le schéma.
|
||||
|
||||
\begin{figure}
|
||||
\caption[Rail]{Le rail horizontal}\label{figure:dispos2}
|
||||
\smallskip
|
||||
\centering
|
||||
%\def\svgwidth{0.7\columnwidth}
|
||||
\def\svgwidth{10cm}
|
||||
\input{./images/RailHorizontal2.eps_tex}
|
||||
\end{figure}
|
||||
|
||||
\section{Résultats}
|
||||
\subsection{Résultats bruts}
|
||||
|
||||
Les figures \ref{figure:periode_masse} et \ref{pic:latex} donnent un exemple de graphe. Relevez les éléments qui le composent et qui sont nécessaires. Relevez aussi la manière de mettre une ligne de sous-titre pour préciser les conditions de la mesure. Relevez aussi la présence des unités sur les axes. Tout cela est absolument indispensable.
|
||||
|
||||
La figure \ref{figure:periode_masse} est un graphe réalisé sous Gnumeric et exporté en eps. La figure \ref{pic:latex} est un graphe réalisé à l'intérieur de \LaTeX{} directement avec Gnuplot. Le fichier de mesures se trouve dans le même répertoire que le présent modèle de TP. La réalisation de ce type de graphique est décrite à l'annexe \ref{annexe:gnuplot}
|
||||
|
||||
Si le graphe est réalisé avec Gnumeric, il faut faire attention à conserver la feuille de calcul à partir de laquelle il a été réalisé ainsi que le graphe lui-même en l'enregistrant dans le répertoire \emph{FichiersDivers} au format .gnumeric. Par ailleurs, il faut enregistrer le graphe au format .eps. Cela permettra de l'inclure à votre document \LaTeX{} et de l'agrandir si nécessaire sans aucune perte de qualité.
|
||||
|
||||
\begin{figure}
|
||||
\centering
|
||||
\includegraphics[scale=0.6]{images/GraphePeriodeMasse.eps}
|
||||
\caption[Période vs masse]{Le pendule simple\par \small Période vs masse (L~=~\SI{1}{\metre} ; \(\alpha = \SI{30}{\degres}\))}\label{figure:periode_masse}
|
||||
\end{figure}
|
||||
|
||||
\begin{figure}%
|
||||
\centering%
|
||||
\begin{gnuplot}[terminal=epslatex, terminaloptions=color dashed]
|
||||
set key bottom left Left
|
||||
set key width 1.5
|
||||
set sample 1000
|
||||
set xr [0:110]
|
||||
set yr [0:20]
|
||||
set xlabel 'Masse (\si{\gram})' # attention il faut parfois utiliser certains guillemets
|
||||
# notamment quand on utilise la commande \si, il faut impérativement des primes '...'
|
||||
set ylabel "Période (puls)"
|
||||
#plot test.txt w l lc 1 t "$\sin(x)$",cos(x) w l lc 2 t "$\cos(x)$",tan(x) w l lc 3 t "$\tan(x)$",tanh(x) w l lc 4 t "$\tanh(x)$"
|
||||
plot 'test.txt'\
|
||||
index 2 u 1:2:3 title 'Petites masses' w yerrorbars pt 4
|
||||
\end{gnuplot}
|
||||
\caption[Période vs masse]{Le pendule simple\par \small Période vs masse (L~=~\SI{1}{\metre} ; \(\alpha = \SI{30}{\degres}\))}%
|
||||
\label{pic:latex}%
|
||||
\end{figure}%
|
||||
|
||||
\medskip
|
||||
La table \ref{tableau:accelerations} donne un exemple de résultats sous forme de tableau. Elle est issu d'un tableau réalisé sous \emph{Gnumeric}, puis exporté par \emph{Exporter les données} du menu \emph{Données}, en enregistrant un fichier de format \emph{Fragment de table \LaTeX} dans Gnumeric, en en copiant la table et en l'insérant dans un environnement de tableau \verb|tabular| dont on peut voir la structure dans le code du tableau \ref{tableau:accelerations}.
|
||||
|
||||
\medskip
|
||||
Généralement on ne met pas de tableau mais des graphes. Mais cela peut parfois être utile pour résumer un ensemble de mesures à l'aide de plusieurs moyennes par exemple. C'est pourquoi, il vous sera demandé de le faire tout de même.
|
||||
|
||||
\begin{table}
|
||||
\centering
|
||||
\caption[Accélérations]{\centering Accélérations et écarts\par \small Autres paramètres : m~=~\SI{50}{\gram} ; L~=~\SI{50}{\centi\metre}}\label{tableau:accelerations}
|
||||
\begin{tabular}{|c|c|}
|
||||
\hline
|
||||
\(\alpha\) & T \\
|
||||
\si{\degres} & puls \\ \hline
|
||||
10 & 20 \\
|
||||
20 & 18 \\
|
||||
30 & \dots \\ \hline
|
||||
\end{tabular}
|
||||
\end{table}
|
||||
|
||||
Le tableau \ref{tableau:multiples} est un exemple de placement de tableaux côte à côte, avec pour le tableau \ref{tableau:periode-masse} la période en fonction de la masse, pour le tableau \ref{tableau:meriode-angle} la période en fonction de l'angle et pour le tableau \ref{tableau:periode-longueur}.
|
||||
|
||||
\begin{table}
|
||||
\centering
|
||||
\begin{subtable}[b]{0.3\textwidth}
|
||||
\centering
|
||||
\begin{tabular}{|c|c|}
|
||||
\hline
|
||||
m & T \\
|
||||
\si{\gram} & puls \\ \hline
|
||||
10 & 20 \\
|
||||
20 & 18 \\
|
||||
30 & \dots \\ \hline
|
||||
\end{tabular}
|
||||
\caption[T vs m]{\centering Période vs masse\par \small Autres paramètres : \(\alpha=\SI{50}{\degres}\) ; L~=~\SI{50}{\centi\metre}}\label{tableau:periode-masse}
|
||||
\end{subtable}
|
||||
\begin{subtable}[b]{0.3\textwidth}
|
||||
\centering
|
||||
\begin{tabular}{|c|c|}
|
||||
\hline
|
||||
\(\alpha\) & T \\
|
||||
\si{\degres} & puls \\ \hline
|
||||
10 & 20 \\
|
||||
20 & 18 \\
|
||||
30 & \dots \\ \hline
|
||||
\end{tabular}
|
||||
\caption[T vs \(\alpha\)]{\centering Période vs angle\par \small Autres paramètres : m~=~\SI{50}{\gram} ; L~=~\SI{50}{\centi\metre}}\label{tableau:meriode-angle}
|
||||
\end{subtable}
|
||||
\begin{subtable}[b]{0.3\textwidth}
|
||||
\centering
|
||||
\begin{tabular}{|c|c|}
|
||||
\hline
|
||||
L & T \\
|
||||
\si{\centi\metre} & puls \\ \hline
|
||||
10 & 20 \\
|
||||
20 & 18 \\
|
||||
30 & \dots \\ \hline
|
||||
\end{tabular}
|
||||
\caption[T vs L]{\centering Période vs longueur\par \small Autres paramètres : m~=~\SI{50}{\gram} ; \(\alpha=\SI{50}{\degres}\)}\label{tableau:periode-longueur}
|
||||
\end{subtable}
|
||||
\caption{Un environnement pour de multiples tableaux}\label{tableau:multiples}
|
||||
\end{table}
|
||||
|
||||
\subsection{Exemples de calcul}
|
||||
|
||||
Lorsque des grandeurs calculées, à l'exception des grandeurs brutes, sont présentes, il est nécessaire de présenter un exemple de calcul pour celles-ci en se référant à une ligne du tableau présenté. Ce n'est pas le cas pour le pendule simple, puisque nous avons utilisé le pouls comme instrument de mesure de la période. L'exemple suivant est donc totalement fictif.
|
||||
|
||||
Les exemples de calculs ci-dessous sont donnés pour la première ligne du tableau \ref{tableau:accelerations} et se basent sur les équations \ref{equation:premiere}, \ref{equation:seconde} et \ref{equation:laperso} données dans la théorie.
|
||||
|
||||
\begin{align*}
|
||||
T&=2\cdot \pi\cdot \sqrt{\frac{L}{g}}=2\cdot \pi\cdot\sqrt{\frac{1}{9,81}}=\SI{2,006}{\second}\\
|
||||
T&=2\cdot \pi\cdot \frac{L}{g}=2\cdot \pi\cdot\frac{1}{9,81}=\SI{0.641}{\second}\\
|
||||
T&=2\cdot \frac{L}{m}=2\cdot \frac{1}{0,010}=\SI{200}{\second}
|
||||
\end{align*}
|
||||
|
||||
\section{Discussion}
|
||||
\subsection{Présentation des résultats}
|
||||
En résumé, il n'y a pas de méthode permettant de faire une bonne discussion des résultats. Il est cependant important de bien montrer que vous avez tenté d'aller au-delà des chiffres pour tenter de les comprendre. Votre discussion doit donc être l'expression de votre curiosité pour tous les aspects de l'expérience. Elle doit aussi montrer votre maîtrise des outils d'analyse des résultats, tels les notions d'erreurs, d'écarts, d'incertitudes et la logique de votre travail.
|
||||
|
||||
\smallskip
|
||||
Cependant, un bon point de départ pour votre discussion est de présenter vos résultats en français à l'aide de vos graphes.
|
||||
|
||||
\subsection{Analyse}
|
||||
Après la présentation des résultats il convient d'en souligner tout ce qui peut être hors norme, inattendu, bizarre. Mieux serait de tenter de donner des explications plausibles à cet inattendu, voir encore mieux des explications vérifiées.
|
||||
|
||||
\subsection{Problèmes rencontrés}
|
||||
Une critique constructive de votre expérience est enfin la bienvenue, car elle peut permettre à d'autres de ne pas reproduire vos erreurs.
|
||||
|
||||
\section{Conclusion}
|
||||
Voici un exemple de conclusion. À éviter : mettre ici les remerciements.
|
||||
|
||||
\medskip
|
||||
Les mesures effectuées montrent clairement que le seul paramètre qui fait varier la période d'un pendule est sa longueur. De plus, on a pu mettre en évidence une dépendance de la période en fonction de la racine de la longueur. Comme théoriquement, on peut montrer que~:
|
||||
\[T=2\cdot \pi\cdot \sqrt{\frac{L}{g}}\]
|
||||
et étant donné les imprécisions de mesure dues à l'utilisation du pouls pour mesurer la période, l'expérience à donné de bons résultats.
|
||||
|
||||
\newpage
|
||||
\section{Annexes}
|
||||
\appendix
|
||||
Mettez en annexe tout ce que vous voulez conserver dans le cadre de ce travail pratique, mais qu'il vous semble inutile de lire. On peut penser pour le travail sur le pendule simple à une présentation de l'utilisation de la balance de précision, qui peut s'avérer utile par la suite, mais n'est pas nécessaire pour comprendre votre travail.
|
||||
|
||||
\section{Équations}
|
||||
Plusieurs environnements pour réaliser des équations sont disponibles. Sans être exhaustif, peut les distinguer selon la nécessité d'écrire des équations en ligne ou hors ligne.
|
||||
|
||||
Par exemple, l'équation \(F=m\cdot a\) est une équation en ligne, alors que~: \[F=m\cdot a\] est hors ligne.
|
||||
|
||||
Ces deux équations s'écrivent~:
|
||||
\begin{itemize}
|
||||
\item pour l'équation en ligne \verb|\(F=m\cdot a\)| et
|
||||
\item pour l'équation hors ligne \verb|\[F=m\cdot a\]|
|
||||
\end{itemize}
|
||||
|
||||
\smallskip
|
||||
Ces deux manières d'écrire ne permettent pas la numérotation des équations. Généralement, on ne numérote pas les équations en ligne, car si elles sont en ligne c'est qu'elles sont d'une importance moindre. Par contre, certaines équations hors ligne devant être numérotées, il existe un environnement spécifique pour cela : \emph{equation}. Pour écrire l'équation \ref{eq:labelleeq}~:
|
||||
\begin{equation}\label{eq:labelleeq}
|
||||
F=m\cdot a
|
||||
\end{equation}
|
||||
on doit écrire~:
|
||||
\begin{verbatim}
|
||||
\begin{equation}\label{eq:labelleeq}
|
||||
F=m\cdot a
|
||||
\end{equation}
|
||||
\end{verbatim}
|
||||
avec, grâce à la commande \verb|\label|, la possibilité d'évoquer le numéro de l'équation par \verb|\ref{eq:labelleeq}| dans le texte.
|
||||
|
||||
Relevons qu'il est possible de supprimer la numérotation de cet environnement en écrivant autant dans le begin que dans le end le mot equation avec une étoile, soit \verb|equation*|.
|
||||
|
||||
\medskip
|
||||
Finalement, un environnement permettant d'écrire des équations alignées verticalement sur la base du caractère \&, est aussi disponible. Il s'agit d'\emph{align}. Ainsi, pour écrire les équations \ref{eq:alignnewton}, \ref{eq:alignhook} et suivante~:
|
||||
\begin{align}
|
||||
F&=m\cdot a\label{eq:alignnewton}\\
|
||||
F&=G\cdot \frac{M\cdot m}{r^2}\label{eq:alignhook}\\
|
||||
F&=k\cdot \frac{Q\cdot q}{r^2}\nonumber
|
||||
\end{align}
|
||||
on utilise~:
|
||||
\begin{verbatim}
|
||||
\begin{align}
|
||||
F&=m\cdot a\label{eq:alignnewton}\\
|
||||
F&=G\cdot \frac{M\cdot m}{r^2}\label{eq:alignhook}\\
|
||||
F&=k\cdot \frac{Q\cdot q}{r^2}\nonumber
|
||||
\end{align}
|
||||
\end{verbatim}
|
||||
avec la possibilité de supprimer la numérotation d'une ligne en lui apposant la commande \verb|\nonumber|.
|
||||
|
||||
Relevons enfin que \verb|align*| existe aussi pour supprimer toute numérotation.
|
||||
|
||||
\section{Schéma}\label{annexe:schema}
|
||||
Les problèmes posés par les schémas sont nombreux. Essentiellement, il s'agit d'utiliser un logiciel de dessin vectoriel comme Inkscape, puis de l'utiliser dans \LaTeX. Or, comme on peut le voir à la figure \ref{figure:annexedispos}, l'échelle du schéma a une influence directe sur le texte qu'îl utilise et qui est souvent dans des proportions différentes du texte utilisé dans \LaTeX.
|
||||
|
||||
\begin{figure}
|
||||
\centering
|
||||
\includegraphics[scale=1.6]{RailHorizontal.eps}
|
||||
\caption{Le rail horizontal}\label{figure:annexedispos}
|
||||
\end{figure}
|
||||
|
||||
Pour résoudre ce problème, il faut utiliser des fonctionnalités avancées d'Inkscape et du format eps. Le résultat est présenté dans la figure \ref{figure:annexedispos2}, montre que le texte est de bien meilleure qualité et même présente la possibilité d'utiliser des équations correctement affichées.
|
||||
|
||||
\medskip
|
||||
Comment cela est-il possible ? Lors de l'enregistrement (\verb|Enregistrer une copie...|) d'un fichier svg créé sous Inkscape, puis enregistré au format eps, apparaît dans le menu du format eps la possibilité de séparer les éléments graphiques et le texte et de créer un fichier \LaTeX{} permettant l'import du fichier eps parallèlement au placement du texte sur celui-ci.
|
||||
|
||||
Concrètement, la figure \ref{figure:exporteps} présente la configuration de l'exportation eps à partir d'Inkscape. On y voit la condition~:
|
||||
\begin{verbatim}
|
||||
Exclure le texte du fichier PDF, et créer un fichier LaTeX
|
||||
\end{verbatim}
|
||||
qui va partager le schéma en un fichier postscript encapsulé (.eps) et un fichier \LaTeX{} (.eps\_tex) contenant respectivement les éléments graphiques et le texte.
|
||||
|
||||
\smallskip
|
||||
L'inclusion du graphique ne se fait alors plus via la commande \verb|\includegraphics|, mais par~:
|
||||
\begin{verbatim}
|
||||
\begin{figure}
|
||||
\caption[Rail]{Le rail horizontal}\label{figure:annexedispos2}
|
||||
\smallskip
|
||||
\centering
|
||||
%\def\svgwidth{0.7\columnwidth}
|
||||
\def\svgwidth{10cm}
|
||||
\input{./images/RailHorizontal2.eps_tex}
|
||||
\end{figure}
|
||||
\end{verbatim}
|
||||
Ainsi, on insère (\verb|\input|) le code \LaTeX{} qui va placer le schéma.
|
||||
|
||||
Il est possible d'intervenir dans le code \LaTeX\ créé par Inkscape pour changer le texte par exemple. N'hésitez pas à l'étudier.
|
||||
|
||||
\begin{figure}
|
||||
\centering
|
||||
\includegraphics[scale=0.5]{PostscriptEncapsule.eps}
|
||||
\caption{Export en eps-latex}\label{figure:exporteps}
|
||||
\end{figure}
|
||||
|
||||
\begin{figure}
|
||||
\caption[Rail]{Le rail horizontal}\label{figure:annexedispos2}
|
||||
\smallskip
|
||||
\centering
|
||||
%\def\svgwidth{0.7\columnwidth}
|
||||
\def\svgwidth{10cm}
|
||||
\input{./images/RailHorizontal2.eps_tex}
|
||||
\end{figure}
|
||||
|
||||
\medskip
|
||||
Il faut cependant relever qu'il faut utiliser la condition~:
|
||||
\begin{verbatim}
|
||||
Utiliser la taille de l'objet exporté
|
||||
\end{verbatim}
|
||||
lors de l'exportation en eps et qu'il est impératif que le texte soit entièrement contenu dans le cadre des éléments graphique. S'il dépasse hors des limites du rectangle les englobants, le positionnement du texte devient incontrôlable. Si cela est impossible, on peut ne mettre qu'une lettre en lieu et place de chaque élément de texte, puis intervenir sur le code \LaTeX\ du fichier eps\_tex pour associer à chaque lettre le code \LaTeX\ nécessaire à la production des légendes. C'est la raison pour laquelle dans la figure \ref{figure:annexedispos2} le rail a été élargi vers le bas pour permettre un bon placement des légendes \(x_0\) et \(x\).
|
||||
|
||||
\begin{figure}
|
||||
\caption[Rail]{Le rail horizontal}\label{figure:annexedispos3}
|
||||
\smallskip
|
||||
\centering
|
||||
%\def\svgwidth{0.7\columnwidth}
|
||||
\def\svgwidth{5cm}
|
||||
\input{./images/RailHorizontal2.eps_tex}
|
||||
\end{figure}
|
||||
|
||||
Relevez enfin que les changements d'échelle ont leur limites dans le cadre de cette méthode. En effet, le texte placé par \LaTeX\ conservant sa taille normale, une diminution de l'échelle des éléments graphiques va inévitablement produire des problèmes de chevauchement, comme le montre la figure \ref{figure:annexedispos3} où la taille de l'image à été imposée à \SI{5}{\centi\metre}.
|
||||
|
||||
Il est donc nécessaire lors de la création du ficher svg avec Inkscape de travailler sur une figure de la taille envisagée dans le document \LaTeX\, soit environ \SI{16}{\centi\metre} pour une page mono-colonne sur du papier A4 et \SI{8}{\centi\metre} pour la même page en bi-colonne.
|
||||
|
||||
\section{Notes, références et flottants}
|
||||
Utilisons cette deuxième annexe pour présenter divers éléments formels utilisable avec \LaTeX{} dans votre rapport.
|
||||
\subsection{Notes}
|
||||
Les notes de bas de page peuvent être utilisées de la manières suivante\footnote{Regardez dans le code du modèle.}.
|
||||
\subsection{Références}
|
||||
Dans un document tel qu'un travail de maturité, une bibliographie est indispensable. Si vous désirez en faire une pour votre rapport de physique, il faut tout d'abord simplement mettre une référence d'entrée de bibliographie telle que \cite{EinsteinPR1935} et mettre la description de l'ouvrage dans l'environnement \verb|thebibliography|, comme présenté dans le code source de ce document. Si vous avez moins de 10 références mettez en paramètre le chiffre 9 et 99 si vous en avez moins de cent. Il s'agit là d'une bibliographie très simple obéissant aux canons de la physique. Pour générer des bibliographies plus complexes, utilisez le programme externe \emph{bibtex}.
|
||||
|
||||
\subsection{Placement des flottants}
|
||||
Techniquement, le placement des éléments graphiques flottants\footnote{Voir l'excellent site :\\\url{https://en.wikibooks.org/wiki/LaTeX/Floats,_Figures_and_Captions}} se fait par l'intermédiaire des environnements \verb|figure|, \verb|table|, \verb|subfigure| et \verb|subtable|, pour autant que le module \verb|subcaption| soit chargé.
|
||||
|
||||
Ce placement peut être influencé par les éléments :
|
||||
\begin{description}
|
||||
\item [h] pour placer l'élément ici, approximativement,
|
||||
\item [t] pour placer l'élément en haut de page,
|
||||
\item [b] pour placer l'élément en bas de page,
|
||||
\item [p] pour placer l'élément sur une page de flottants,
|
||||
\item [~!] pour tenter de forcer \LaTeX\ à faire ce qu'on veut et
|
||||
\item [H] pour placer l'élément exactement ici (nécessite le paquel \verb|float|).
|
||||
\end{description}
|
||||
placés entre crochets de la manière suivante :
|
||||
\begin{verbatim}
|
||||
\begin{figure}[tbh...]
|
||||
\end{verbatim}
|
||||
|
||||
\begin{thebibliography}{9}
|
||||
\bibitem{EinsteinPR1935}A.~Einstein and N.~Rosen, Phys. Rev. \textbf{48}, 73 (1935)
|
||||
\end{thebibliography}
|
||||
|
||||
\section{Gnuplot}\label{annexe:gnuplot}
|
||||
L'utilisation de gnuplot, si elle n'est pas complexe, nécessite des connaissances de base pour obtenir des graphes de bonne qualité.
|
||||
|
||||
L'objectif de cette annexe est de présenter par deux exemples concrets la manière de réaliser des graphes à partir de données chiffrés. Elle est généralement celle utilisée par la physique, puisque la plupart des graphes dans ce domaine se basent sur des mesures\footnote{La chaine de traitement des données est ici basée sur des mesures enregistrées dans des fichiers textes. Les cartes d'acquisitions actuelles livrent leurs mesures directement dans de tels fichiers et cela généralement sans aucune entête de colonne. Il est donc bien plus simple de ne pas passer par un tableur pour réaliser des graphes, surtout avec un très grand nombre de mesures.
|
||||
|
||||
Par ailleurs, l'acquisition de données et leur intégration automatique dans des rapports \LaTeX est très facile}.
|
||||
|
||||
L'utilisation de siunitx (du métapaquet texlive-science) est intéressante, car elle permet d'utiliser le module des unités dans gnuplot. Elle est activée en paramètre de l'utilisation du package gnuplottex qui permet lui d'utiliser gnuplot directement dans \LaTeX.
|
||||
|
||||
Pour pouvoir utiliser gnuplot avec latex, il faut permettre à \LaTeX d'utiliser gnuplot. Pour cela, il faut lancer \LaTeX avec les deux arguments \verb|-enable-write18 -shell-escape|. Par exemple pour Texmaker, dans les \emph{Commandes} de \emph{Configurer Texmaker} du menu \emph{Options} pour \LaTeX, il faut mettre~:
|
||||
\begin{verbatim}
|
||||
latex -enable-write18 -shell-escape -interaction=nonstopmode %.tex
|
||||
\end{verbatim}
|
||||
|
||||
Les données sont celles de la table \ref{table:donnees}.
|
||||
\begin{table}
|
||||
\centering
|
||||
\begin{tabular}{lllll}
|
||||
1 & 1 & 0.1 & 1 & 2 \\
|
||||
2 & 4 & 0.4 & 2 & 4 \\
|
||||
3 & 11 & 0.2 & 3 & 6 \\
|
||||
4 & 18 & 0.5 & 4 & 8 \\
|
||||
5 & 26 & 0.3 & 5 & 10 \\
|
||||
6 & 31 & 0.1 & 6 & 12 \\
|
||||
&&&&\\
|
||||
&&&&\\
|
||||
10 & 16 & 5 &&\\
|
||||
20 & 45 & 10 &&\\
|
||||
30 & 53 & 15 &&\\
|
||||
40 & 89 & 20 &&\\
|
||||
50 & 110 & 25 &&\\
|
||||
60 & 135 & 30 &&\\
|
||||
70 & 140 & 35 &&\\
|
||||
80 & 155 & 40 &&\\
|
||||
90 & 170 & 45 &&\\
|
||||
100 & 200 & 50 &&
|
||||
\end{tabular}
|
||||
\caption{Les donnée séparées par des tabulations}\label{table:donnees}
|
||||
\end{table}
|
||||
|
||||
\begin{figure}[h]
|
||||
\centering
|
||||
\begin{gnuplot}[terminal=epslatex, terminaloptions=color dashed, scale=0.9]
|
||||
# Le terminal epslatex (excellent) est utilisé pour faire le graphe
|
||||
# on utilise des couleurs et éventuellement des traitillés
|
||||
# on diminue légèrement la taille du graphe par rapport à la pleine page
|
||||
# ---
|
||||
|
||||
# Déclaration du titre
|
||||
# ---
|
||||
# ici désactivé car c'est LaTeX qui le fait
|
||||
|
||||
#set title 'Équivalent Joule-Calorie\\ \small Une belle expérience'
|
||||
|
||||
# Placement de la légende (key)
|
||||
# ---
|
||||
# avec un cadre (box)
|
||||
# à gauche (left), aligné à gauche (Left) avec un espace interligne de 1,5
|
||||
|
||||
set key box left Left spacing 1.5
|
||||
|
||||
# Création du fit des données
|
||||
# ---
|
||||
# la fonction de fit
|
||||
|
||||
f(x)=a*x**2+b*x
|
||||
|
||||
# l'index 0 indique que les données sont dans le premier tableau du fichier
|
||||
# on utilise (u) les deux premières colonnes et les paramètres de fit sont a et b
|
||||
|
||||
fit f(x) 'test.txt' index 0 u 1:2 via a,b
|
||||
|
||||
# Placement des légendes des axes
|
||||
# ---
|
||||
# le rotate est là pour montrer qu'on peut éventuellement tourner les légendes
|
||||
# remarquez l'utilisation de siunitx via \si
|
||||
|
||||
set ylabel '\rotatebox{0}{$\Delta \theta$ (\si{\celsius})}'
|
||||
set xlabel 'Nombre de tours N'
|
||||
|
||||
# Tracé des graphes
|
||||
# ---
|
||||
# les intervalles sur x et y sont spécifiés en premier [...][...]
|
||||
# le fichier des données est spécifié (test.txt)
|
||||
# le premier bloc de données est utilisé (index 0)
|
||||
# les quatre premières colonnes sont utilisées u 1:2:3:4
|
||||
# le titre de la légende est spécifié title ...
|
||||
# les barres d'erreurs sont demandées (par défaut il s'agit des colonnes 3 et 4
|
||||
# ---
|
||||
# puis un deuxième graphe est demandé sur la base des même données test.txt
|
||||
# utilisant pour x la première colonne et pour y la cinquième
|
||||
# noté dans la légende "Une droite"
|
||||
# ---
|
||||
# puis le fit des données est demandé comme troisième graphe avec la fonction f(x)
|
||||
# légendé "Regres. polynom."
|
||||
# ---
|
||||
# remarquez l'utilisation d'un backslash (\) pour passer à la ligne et les
|
||||
# abréviations comme u, t, w et lc pour using, title, with et linecolor
|
||||
|
||||
plot [0:7][0:45]\
|
||||
'test.txt' index 0 u 1:2:3:4 t 'Une puissance' w xyerrorbars,\
|
||||
'test.txt' index 0 using 1:5 title 'Une droite' linecolor 'red',\
|
||||
f(x) title 'Régres. polynom.' lc 'blue'
|
||||
\end{gnuplot}
|
||||
\caption{Le titre du premier graphe}\label{figure:premiergraphe}
|
||||
\end{figure}
|
||||
|
||||
\medskip
|
||||
Le code utilisé (et commenté pour le comprendre) pour produire le premier graphe (figure \ref{figure:premiergraphe}) est le suivant :
|
||||
\begin{verbatim}
|
||||
\begin{figure}[h]
|
||||
\centering
|
||||
\begin{gnuplot}[terminal=epslatex, terminaloptions=color dashed,
|
||||
scale=0.9]
|
||||
# Le terminal epslatex (excellent) est utilisé pour faire le
|
||||
graphe
|
||||
# on utilise des couleurs et éventuellement des traitillés
|
||||
# on diminue légèrement la taille du graphe par rapport à
|
||||
la pleine page
|
||||
# ---
|
||||
|
||||
# Déclaration du titre
|
||||
# ---
|
||||
# ici désactivé car c'est LaTeX qui le fait
|
||||
|
||||
#set title 'Équivalent Joule-Calorie\\ \small Une belle
|
||||
expérience'
|
||||
|
||||
# Placement de la légende (key)
|
||||
# ---
|
||||
# avec un cadre (box)
|
||||
# à gauche (left), aligné à gauche (Left) avec un espace
|
||||
interligne de 1,5
|
||||
|
||||
set key box left Left spacing 1.5
|
||||
|
||||
# Création du fit des données
|
||||
# ---
|
||||
# la fonction de fit
|
||||
|
||||
f(x)=a*x**2+b*x
|
||||
|
||||
# l'index 0 indique que les données sont dans le premier
|
||||
tableau du fichier
|
||||
# on utilise (u) les deux premières colonnes et les
|
||||
paramètres de fit sont a et b
|
||||
|
||||
fit f(x) 'test.txt' index 0 u 1:2 via a,b
|
||||
|
||||
# Placement des légendes des axes
|
||||
# ---
|
||||
# le rotate est là pour montrer qu'on peut éventuellement
|
||||
tourner les légendes
|
||||
# remarquez l'utilisation de siunitx via \si
|
||||
|
||||
set ylabel '\rotatebox{0}{$\Delta \theta$ (\si{\celsius})}'
|
||||
set xlabel 'Nombre de tours N'
|
||||
|
||||
# Tracé des graphes
|
||||
# ---
|
||||
# les intervalles sur x et y sont spécifiés en premier
|
||||
[...][...]
|
||||
# le fichier des données est spécifié (test.txt)
|
||||
# le premier bloc de données est utilisé (index 0)
|
||||
# les quatre premières colonnes sont utilisées u 1:2:3:4
|
||||
# le titre de la légende est spécifié title ...
|
||||
# les barres d'erreurs sont demandées (par défaut il s'agit
|
||||
des colonnes 3 et 4
|
||||
# ---
|
||||
# puis un deuxième graphe est demandé sur la base des même
|
||||
données test.txt
|
||||
# utilisant pour x la première colonne et pour y la cinquième
|
||||
# noté dans la légende "Une droite"
|
||||
# ---
|
||||
# puis le fit des données est demandé comme troisième graphe
|
||||
avec la fonction f(x)
|
||||
# légendé "Regres. polynom."
|
||||
# ---
|
||||
# remarquez l'utilisation d'un backslash (\) pour passer à
|
||||
la ligne et les
|
||||
# abréviations comme u, t, w et lc pour using, title, with
|
||||
et linecolor
|
||||
|
||||
plot [0:7][0:45]\
|
||||
'test.txt' index 0 u 1:2:3:4 t 'Une puissance' w xyerrorbars,\
|
||||
'test.txt' index 0 using 1:5 title 'Une droite' linecolor
|
||||
'red',\
|
||||
f(x) title 'Régres. polynom.' lc 'blue'
|
||||
\end{gnuplot}
|
||||
\caption{Le titre du premier graphe}
|
||||
\end{figure}
|
||||
\end{verbatim}
|
||||
|
||||
\begin{figure}[h]
|
||||
\begin{gnuplot}[terminal=epslatex, terminaloptions=color dashed]
|
||||
# Placement de la légende
|
||||
|
||||
set key Left bottom
|
||||
|
||||
# Placement des légendes des axes
|
||||
|
||||
set ylabel 'Accélération a (\si{\metre\per\second\squared})'
|
||||
set xlabel 'Nombre de tours N'
|
||||
|
||||
# Placement de la flèche et du texte
|
||||
|
||||
set arrow 1 from 50,175 to 58,140
|
||||
set label 'Un point particulier sur $x=2\cdot x^2$' at 10,185
|
||||
|
||||
# Création du graphe
|
||||
# ---
|
||||
# on utilise le second bloc de données (index 1)
|
||||
# la colonne 3 est celle des erreurs sur y
|
||||
# on utilise le point numéro 4 (un petit carré) pour positionner la mesure
|
||||
|
||||
plot [0:110][0:250] 'test.txt'\
|
||||
index 1 u 1:2:3 title 'Second bloc' w yerrorbars pt 4
|
||||
\end{gnuplot}
|
||||
\caption{Le titre du second graphe}\label{figure:secondgraphe}
|
||||
\end{figure}
|
||||
|
||||
\medskip
|
||||
Le code utilisé (et commenté pour le comprendre) pour produire le second graphe (figure \ref{figure:secondgraphe}) est le suivant :
|
||||
\begin{verbatim}
|
||||
\begin{figure}[h]
|
||||
\begin{gnuplot}[terminal=epslatex, terminaloptions=color
|
||||
dashed]
|
||||
# Placement de la légende
|
||||
|
||||
set key Left bottom
|
||||
|
||||
# Placement des légendes des axes
|
||||
|
||||
set ylabel 'Accélération a (\si{\metre\per\second\squared})'
|
||||
set xlabel 'Nombre de tours N'
|
||||
|
||||
# Placement de la flèche et du texte
|
||||
|
||||
set arrow 1 from 50,175 to 58,140
|
||||
set label 'Un point particulier sur $x=2\cdot x^2$' at 10,185
|
||||
|
||||
# Création du graphe
|
||||
# ---
|
||||
# on utilise le second bloc de données (index 1)
|
||||
# la colonne 3 est celle des erreurs sur y
|
||||
# on utilise le point numéro 4 (un petit carré) pour
|
||||
positionner la mesure
|
||||
|
||||
plot [0:110][0:250] 'test.txt'\
|
||||
index 1 u 1:2:3 title 'Second bloc' w yerrorbars pt 4
|
||||
\end{gnuplot}
|
||||
\caption{Le titre du second graphe}
|
||||
\end{figure}
|
||||
\end{verbatim}
|
||||
|
||||
\begin{thebibliography}{9}
|
||||
|
||||
\bibitem{Guyot2022}
|
||||
Vincent Guyot,
|
||||
\emph{Modèle \LaTeX de travail de maturité}.
|
||||
\url{https://git.roflcopter.fr/guyotv},
|
||||
2022.
|
||||
|
||||
\end{thebibliography}
|
||||
|
||||
|
||||
\end{document}
|
||||
|
|
@ -1,2 +1,11 @@
|
|||
# TP_latex
|
||||
|
||||
Un modèle en latex pour faire des rapports de physique. Ce modèle est auto-descriptif : en le lisant, vous apprendrez à le faire
|
||||
fonctionner. Il présente l'utilisation de tout ce qui est nécessaire pour faire un rapport de physique. En particulier :
|
||||
- une structure de rapport de physique
|
||||
- des équations
|
||||
- des tableaux côte à côte
|
||||
- des schémas avec du texte LaTeX
|
||||
- des graphes avec GnuPlot
|
||||
|
||||
Il est utilisé au lycée comme introduction à LaTeX.
|
||||
|
|
|
|||
|
|
@ -0,0 +1,341 @@
|
|||
\usepackage[utf8]{inputenc} % gestion d'utf8
|
||||
\usepackage[francais]{babel} % gestion de la langue française
|
||||
\usepackage[T1]{fontenc} %
|
||||
\usepackage{amsmath} % symboles mathématiques
|
||||
\usepackage{amsfonts} % fontes pour les symboles mathématiques
|
||||
\usepackage{amssymb} % jeu de symboles suppélémentaires
|
||||
\usepackage{graphicx} % pour mettre des images
|
||||
\usepackage{caption} % pour des légendes
|
||||
\usepackage{lmodern} % fonte spéciale
|
||||
\usepackage{subcaption} % pour les subfigures et les subtables
|
||||
\usepackage{float} % pour placer exactement les figure (utilisation de H)
|
||||
%\usepackage{url} % pour une bonne gestion des urls / déja fourni par un autre paquet
|
||||
\usepackage{siunitx} % pour la gestion des unités
|
||||
\usepackage{latexsym}
|
||||
\usepackage{keyval}
|
||||
\usepackage{ifthen} % pour permettre des tests (avec gnuplot)
|
||||
\usepackage{moreverb}
|
||||
\usepackage{color} % pour des couleurs avec Inkscape
|
||||
\usepackage[siunitx]{gnuplottex} % pour permettre l'utilisation de gnuplot avec siunitx
|
||||
\graphicspath{{./images/}} % nécessaire pour l'import des fichiers eps_tex dans un sous répertoire
|
||||
\usepackage[hyphens]{url}
|
||||
\usepackage{comment}
|
||||
|
||||
\usepackage{xcolor}
|
||||
\definecolor{editorGray}{rgb}{0.95, 0.95, 0.95}
|
||||
\definecolor{editorOcher}{rgb}{1, 0.5, 0} % #FF7F00 -> rgb(239, 169, 0)
|
||||
\definecolor{editorGreen}{rgb}{0, 0.5, 0} % #007C00 -> rgb(0, 124, 0)
|
||||
|
||||
\usepackage{upquote}
|
||||
|
||||
% Listings
|
||||
\usepackage{listings} % Listings et sa configuration
|
||||
\lstdefinelanguage{JavaScript}{
|
||||
morekeywords={break, case, catch, continue, debugger, default, delete, do, else, false, finally, for, function, if, in, instanceof, new, null, return, switch, this, throw, true, try, typeof, var, void, while, with},
|
||||
morecomment=[s]{/*}{*/},
|
||||
morecomment=[l]//,
|
||||
morestring=[b]",
|
||||
morestring=[b]'
|
||||
}
|
||||
\lstdefinelanguage{CSS}{
|
||||
keywords={accelerator,azimuth,background,background-attachment,
|
||||
background-color,background-image,background-position,
|
||||
background-position-x,background-position-y,background-repeat,
|
||||
behavior,border,border-bottom,border-bottom-color,
|
||||
border-bottom-style,border-bottom-width,border-collapse,
|
||||
border-color,border-left,border-left-color,border-left-style,
|
||||
border-left-width,border-right,border-right-color,
|
||||
border-right-style,border-right-width,border-spacing,
|
||||
border-style,border-top,border-top-color,border-top-style,
|
||||
border-top-width,border-width,bottom,caption-side,clear,
|
||||
clip,color,content,counter-increment,counter-reset,cue,
|
||||
cue-after,cue-before,cursor,direction,display,elevation,
|
||||
empty-cells,filter,float,font,font-family,font-size,
|
||||
font-size-adjust,font-stretch,font-style,font-variant,
|
||||
font-weight,height,ime-mode,include-source,
|
||||
layer-background-color,layer-background-image,layout-flow,
|
||||
layout-grid,layout-grid-char,layout-grid-char-spacing,
|
||||
layout-grid-line,layout-grid-mode,layout-grid-type,left,
|
||||
letter-spacing,line-break,line-height,list-style,
|
||||
list-style-image,list-style-position,list-style-type,margin,
|
||||
margin-bottom,margin-left,margin-right,margin-top,
|
||||
marker-offset,marks,max-height,max-width,min-height,
|
||||
min-width,-moz-binding,-moz-border-radius,
|
||||
-moz-border-radius-topleft,-moz-border-radius-topright,
|
||||
-moz-border-radius-bottomright,-moz-border-radius-bottomleft,
|
||||
-moz-border-top-colors,-moz-border-right-colors,
|
||||
-moz-border-bottom-colors,-moz-border-left-colors,-moz-opacity,
|
||||
-moz-outline,-moz-outline-color,-moz-outline-style,
|
||||
-moz-outline-width,-moz-user-focus,-moz-user-input,
|
||||
-moz-user-modify,-moz-user-select,orphans,outline,
|
||||
outline-color,outline-style,outline-width,overflow,
|
||||
overflow-X,overflow-Y,padding,padding-bottom,padding-left,
|
||||
padding-right,padding-top,page,page-break-after,
|
||||
page-break-before,page-break-inside,pause,pause-after,
|
||||
pause-before,pitch,pitch-range,play-during,position,quotes,
|
||||
-replace,richness,right,ruby-align,ruby-overhang,
|
||||
ruby-position,-set-link-source,size,speak,speak-header,
|
||||
speak-numeral,speak-punctuation,speech-rate,stress,
|
||||
scrollbar-arrow-color,scrollbar-base-color,
|
||||
scrollbar-dark-shadow-color,scrollbar-face-color,
|
||||
scrollbar-highlight-color,scrollbar-shadow-color,
|
||||
scrollbar-3d-light-color,scrollbar-track-color,table-layout,
|
||||
text-align,text-align-last,text-decoration,text-indent,
|
||||
text-justify,text-overflow,text-shadow,text-transform,
|
||||
text-autospace,text-kashida-space,text-underline-position,top,
|
||||
unicode-bidi,-use-link-source,vertical-align,visibility,
|
||||
voice-family,volume,white-space,widows,width,word-break,
|
||||
word-spacing,word-wrap,writing-mode,z-index,zoom},
|
||||
sensitive=true,
|
||||
morecomment=[l]{//},
|
||||
morecomment=[s]{/*}{*/},
|
||||
morestring=[b]',
|
||||
morestring=[b]",
|
||||
alsoletter={:},
|
||||
alsodigit={-}
|
||||
}
|
||||
\lstdefinelanguage{HTML5}{
|
||||
language=html,
|
||||
sensitive=true,
|
||||
alsoletter={<>=-},
|
||||
otherkeywords={
|
||||
% HTML tags
|
||||
<, </, >,
|
||||
</a, <a, </a>,
|
||||
</abbr, <abbr, </abbr>,
|
||||
</address, <address, </address>,
|
||||
</area, <area, </area>,
|
||||
</area, <area, </area>,
|
||||
</article, <article, </article>,
|
||||
</aside, <aside, </aside>,
|
||||
</audio, <audio, </audio>,
|
||||
</audio, <audio, </audio>,
|
||||
</b, <b, </b>,
|
||||
</base, <base, </base>,
|
||||
</bdi, <bdi, </bdi>,
|
||||
</bdo, <bdo, </bdo>,
|
||||
</blockquote, <blockquote, </blockquote>,
|
||||
</body, <body, </body>,
|
||||
</br, <br, </br>,
|
||||
</button, <button, </button>,
|
||||
</canvas, <canvas, </canvas>,
|
||||
</caption, <caption, </caption>,
|
||||
</cite, <cite, </cite>,
|
||||
</code, <code, </code>,
|
||||
</col, <col, </col>,
|
||||
</colgroup, <colgroup, </colgroup>,
|
||||
</data, <data, </data>,
|
||||
</datalist, <datalist, </datalist>,
|
||||
</dd, <dd, </dd>,
|
||||
</del, <del, </del>,
|
||||
</details, <details, </details>,
|
||||
</dfn, <dfn, </dfn>,
|
||||
</div, <div, </div>,
|
||||
</dl, <dl, </dl>,
|
||||
</dt, <dt, </dt>,
|
||||
</em, <em, </em>,
|
||||
</embed, <embed, </embed>,
|
||||
</fieldset, <fieldset, </fieldset>,
|
||||
</figcaption, <figcaption, </figcaption>,
|
||||
</figure, <figure, </figure>,
|
||||
</footer, <footer, </footer>,
|
||||
</form, <form, </form>,
|
||||
</h1, <h1, </h1>,
|
||||
</h2, <h2, </h2>,
|
||||
</h3, <h3, </h3>,
|
||||
</h4, <h4, </h4>,
|
||||
</h5, <h5, </h5>,
|
||||
</h6, <h6, </h6>,
|
||||
</head, <head, </head>,
|
||||
</header, <header, </header>,
|
||||
</hr, <hr, </hr>,
|
||||
</html, <html, </html>,
|
||||
</i, <i, </i>,
|
||||
</iframe, <iframe, </iframe>,
|
||||
</img, <img, </img>,
|
||||
</input, <input, </input>,
|
||||
</ins, <ins, </ins>,
|
||||
</kbd, <kbd, </kbd>,
|
||||
</keygen, <keygen, </keygen>,
|
||||
</label, <label, </label>,
|
||||
</legend, <legend, </legend>,
|
||||
</li, <li, </li>,
|
||||
</link, <link, </link>,
|
||||
</main, <main, </main>,
|
||||
</map, <map, </map>,
|
||||
/mark, <mark, </mark>,
|
||||
</math, <math, </math>,
|
||||
</menu, <menu, </menu>,
|
||||
</menuitem, <menuitem, </menuitem>,
|
||||
</meta, <meta, </meta>,
|
||||
</meter, <meter, </meter>,
|
||||
</nav, <nav, </nav>,
|
||||
</noscript, <noscript, </noscript>,
|
||||
</object, <object, </object>,
|
||||
</ol, <ol, </ol>,
|
||||
</optgroup, <optgroup, </optgroup>,
|
||||
</option, <option, </option>,
|
||||
</output, <output, </output>,
|
||||
</p, <p, </p>,
|
||||
</param, <param, </param>,
|
||||
</pre, <pre, </pre>,
|
||||
</progress, <progress, </progress>,
|
||||
</q, <q, </q>,
|
||||
</rp, <rp, </rp>,
|
||||
</rt, <rt, </rt>,
|
||||
</ruby, <ruby, </ruby>,
|
||||
</s, <s, </s>,
|
||||
</samp, <samp, </samp>,
|
||||
</script, <script, </script>,
|
||||
</section, <section, </section>,
|
||||
</select, <select, </select>,
|
||||
</small, <small, </small>,
|
||||
</source, <source, </source>,
|
||||
</span, <span, </span>,
|
||||
</strong, <strong, </strong>,
|
||||
</style, <style, </style>,
|
||||
</summary, <summary, </summary>,
|
||||
</sup, <sup, </sup>,
|
||||
</svg, <svg, </svg>,
|
||||
</table, <table, </table>,
|
||||
</tbody, <tbody, </tbody>,
|
||||
</td, <td, </td>,
|
||||
</template, <template, </template>,
|
||||
</textarea, <textarea, </textarea>,
|
||||
</tfoot, <tfoot, </tfoot>,
|
||||
</th, <th, </th>,
|
||||
</thead, <thead, </thead>,
|
||||
</time, <time, </time>,
|
||||
</title, <title, </title>,
|
||||
</tr, <tr, </tr>,
|
||||
</track, <track, </track>,
|
||||
</u, <u, </u>,
|
||||
</ul, <ul, </ul>,
|
||||
</var, <var, </var>,
|
||||
</video, <video, </video>,
|
||||
</wbr, <wbr, </wbr>,
|
||||
/>, <!
|
||||
},
|
||||
ndkeywords={
|
||||
% General
|
||||
=,
|
||||
% HTML attributes
|
||||
accept=, accept-charset=, accesskey=, action=, align=, alt=, async=,
|
||||
autocomplete=, autofocus=, autoplay=, autosave=, bgcolor=, border=,
|
||||
buffered=, challenge=, charset=, checked=, cite=, class=, code=,
|
||||
codebase=, color=, cols=, colspan=, content=, contenteditable=,
|
||||
contextmenu=, controls=, coords=, data=, datetime=, default=, defer=,
|
||||
dir=, dirname=, disabled=, download=, draggable=, dropzone=, enctype=,
|
||||
for=, form=, formaction=, headers=, height=, hidden=, high=, href=,
|
||||
hreflang=, http-equiv=, icon=, id=, ismap=, itemprop=, keytype=,
|
||||
kind=, label=, lang=, language=, list=, loop=, low=, manifest=, max=,
|
||||
maxlength=, media=, method=, min=, multiple=, name=, novalidate=,
|
||||
open=, optimum=, pattern=, ping=, placeholder=, poster=, preload=,
|
||||
pubdate=, radiogroup=, readonly=, rel=, required=, reversed=, rows=,
|
||||
rowspan=, sandbox=, scope=, scoped=, seamless=, selected=, shape=,
|
||||
size=, sizes=, span=, spellcheck=, src=, srcdoc=, srclang=, start=,
|
||||
step=, style=, summary=, tabindex=, target=, title=, type=, usemap=,
|
||||
value=, width=, wrap=,
|
||||
% CSS properties
|
||||
accelerator:,azimuth:,background:,background-attachment:,
|
||||
background-color:,background-image:,background-position:,
|
||||
background-position-x:,background-position-y:,background-repeat:,
|
||||
behavior:,border:,border-bottom:,border-bottom-color:,
|
||||
border-bottom-style:,border-bottom-width:,border-collapse:,
|
||||
border-color:,border-left:,border-left-color:,border-left-style:,
|
||||
border-left-width:,border-right:,border-right-color:,
|
||||
border-right-style:,border-right-width:,border-spacing:,
|
||||
border-style:,border-top:,border-top-color:,border-top-style:,
|
||||
border-top-width:,border-width:,bottom:,caption-side:,clear:,
|
||||
clip:,color:,content:,counter-increment:,counter-reset:,cue:,
|
||||
cue-after:,cue-before:,cursor:,direction:,display:,elevation:,
|
||||
empty-cells:,filter:,float:,font:,font-family:,font-size:,
|
||||
font-size-adjust:,font-stretch:,font-style:,font-variant:,
|
||||
font-weight:,height:,ime-mode:,include-source:,
|
||||
layer-background-color:,layer-background-image:,layout-flow:,
|
||||
layout-grid:,layout-grid-char:,layout-grid-char-spacing:,
|
||||
layout-grid-line:,layout-grid-mode:,layout-grid-type:,left:,
|
||||
letter-spacing:,line-break:,line-height:,list-style:,
|
||||
list-style-image:,list-style-position:,list-style-type:,margin:,
|
||||
margin-bottom:,margin-left:,margin-right:,margin-top:,
|
||||
marker-offset:,marks:,max-height:,max-width:,min-height:,
|
||||
min-width:,transition-duration:,transition-property:,
|
||||
transition-timing-function:,transform:,
|
||||
-moz-transform:,-moz-binding:,-moz-border-radius:,
|
||||
-moz-border-radius-topleft:,-moz-border-radius-topright:,
|
||||
-moz-border-radius-bottomright:,-moz-border-radius-bottomleft:,
|
||||
-moz-border-top-colors:,-moz-border-right-colors:,
|
||||
-moz-border-bottom-colors:,-moz-border-left-colors:,-moz-opacity:,
|
||||
-moz-outline:,-moz-outline-color:,-moz-outline-style:,
|
||||
-moz-outline-width:,-moz-user-focus:,-moz-user-input:,
|
||||
-moz-user-modify:,-moz-user-select:,orphans:,outline:,
|
||||
outline-color:,outline-style:,outline-width:,overflow:,
|
||||
overflow-X:,overflow-Y:,padding:,padding-bottom:,padding-left:,
|
||||
padding-right:,padding-top:,page:,page-break-after:,
|
||||
page-break-before:,page-break-inside:,pause:,pause-after:,
|
||||
pause-before:,pitch:,pitch-range:,play-during:,position:,quotes:,
|
||||
-replace:,richness:,right:,ruby-align:,ruby-overhang:,
|
||||
ruby-position:,-set-link-source:,size:,speak:,speak-header:,
|
||||
speak-numeral:,speak-punctuation:,speech-rate:,stress:,
|
||||
scrollbar-arrow-color:,scrollbar-base-color:,
|
||||
scrollbar-dark-shadow-color:,scrollbar-face-color:,
|
||||
scrollbar-highlight-color:,scrollbar-shadow-color:,
|
||||
scrollbar-3d-light-color:,scrollbar-track-color:,table-layout:,
|
||||
text-align:,text-align-last:,text-decoration:,text-indent:,
|
||||
text-justify:,text-overflow:,text-shadow:,text-transform:,
|
||||
text-autospace:,text-kashida-space:,text-underline-position:,top:,
|
||||
unicode-bidi:,-use-link-source:,vertical-align:,visibility:,
|
||||
voice-family:,volume:,white-space:,widows:,width:,word-break:,
|
||||
word-spacing:,word-wrap:,writing-mode:,z-index:,zoom:
|
||||
},
|
||||
morecomment=[s]{<!--}{-->},
|
||||
tag=[s]
|
||||
}
|
||||
\lstset{%
|
||||
% Basic design
|
||||
backgroundcolor=\color{editorGray},
|
||||
basicstyle={\small\ttfamily},
|
||||
frame=leftline,
|
||||
% Line numbers
|
||||
%xleftmargin={0pt}, % dysfonctionnent
|
||||
numbers=left,
|
||||
stepnumber=1,
|
||||
firstnumber=1,
|
||||
numberfirstline=true,
|
||||
% Code design
|
||||
keywordstyle=\color{blue}\bfseries,
|
||||
commentstyle=\color{darkgray}\ttfamily,
|
||||
ndkeywordstyle=\color{editorGreen}\bfseries,
|
||||
stringstyle=\color{editorOcher},
|
||||
% Code
|
||||
%language=HTML5,
|
||||
alsodigit={.:;},
|
||||
tabsize=2,
|
||||
showtabs=false,
|
||||
showspaces=false,
|
||||
showstringspaces=false,
|
||||
extendedchars=true,
|
||||
breaklines=true,
|
||||
% }
|
||||
%
|
||||
%\lstloadlanguages{Python}
|
||||
%\lstset{language=Python,escapechar=|}
|
||||
%\lstset{
|
||||
literate=
|
||||
{á}{{\'a}}1 {é}{{\'e}}1 {í}{{\'i}}1 {ó}{{\'o}}1 {ú}{{\'u}}1
|
||||
{Á}{{\'A}}1 {É}{{\'E}}1 {Í}{{\'I}}1 {Ó}{{\'O}}1 {Ú}{{\'U}}1
|
||||
{à}{{\`a}}1 {è}{{\`e}}1 {ì}{{\`i}}1 {ò}{{\`o}}1 {ù}{{\`u}}1
|
||||
{À}{{\`A}}1 {È}{{\'E}}1 {Ì}{{\`I}}1 {Ò}{{\`O}}1 {Ù}{{\`U}}1
|
||||
{ä}{{\"a}}1 {ë}{{\"e}}1 {ï}{{\"i}}1 {ö}{{\"o}}1 {ü}{{\"u}}1
|
||||
{Ä}{{\"A}}1 {Ë}{{\"E}}1 {Ï}{{\"I}}1 {Ö}{{\"O}}1 {Ü}{{\"U}}1
|
||||
{â}{{\^a}}1 {ê}{{\^e}}1 {î}{{\^i}}1 {ô}{{\^o}}1 {û}{{\^u}}1
|
||||
{Â}{{\^A}}1 {Ê}{{\^E}}1 {Î}{{\^I}}1 {Ô}{{\^O}}1 {Û}{{\^U}}1
|
||||
{œ}{{\oe}}1 {Œ}{{\OE}}1 {æ}{{\ae}}1 {Æ}{{\AE}}1 {ß}{{\ss}}1
|
||||
{ű}{{\H{u}}}1 {Ű}{{\H{U}}}1 {ő}{{\H{o}}}1 {Ő}{{\H{O}}}1
|
||||
{ç}{{\c c}}1 {Ç}{{\c C}}1 {ø}{{\o}}1 {å}{{\r a}}1 {Å}{{\r A}}1
|
||||
{€}{{\EUR}}1 {£}{{\pounds}}1,
|
||||
escapeinside={(*@}{@*)},
|
||||
backgroundcolor=\color{lightgray!20!white}
|
||||
}
|
||||
|
||||
\renewcommand{\tablename}{Tableau}
|
||||
|
|
@ -0,0 +1,30 @@
|
|||
1 1 0.1 1 2
|
||||
2 4 0.4 2 4
|
||||
3 11 0.2 3 6
|
||||
4 18 0.5 4 8
|
||||
5 26 0.3 5 10
|
||||
6 31 0.1 6 12
|
||||
|
||||
|
||||
10 16 5
|
||||
20 45 10
|
||||
30 53 15
|
||||
40 89 20
|
||||
50 110 25
|
||||
60 135 30
|
||||
70 140 35
|
||||
80 155 40
|
||||
90 170 45
|
||||
100 200 50
|
||||
|
||||
|
||||
10 15 1
|
||||
20 14 1
|
||||
30 15 1
|
||||
40 13 1
|
||||
50 15 1
|
||||
60 15 1
|
||||
70 14 1
|
||||
80 15 1
|
||||
90 14 1
|
||||
100 14 1
|
||||
Loading…
Reference in New Issue