diff options
| author | Audric Schiltknecht <storm@chemicalstorm.org> | 2012-10-14 20:48:52 +0200 |
|---|---|---|
| committer | Audric Schiltknecht <storm@chemicalstorm.org> | 2012-10-14 20:48:52 +0200 |
| commit | d8621c2ace41a0eb1ef1f7825309fb75c73d3f80 (patch) | |
| tree | 3be861a2abd4733e5734398dca4083e8f1d0a822 | |
| download | schiltknecht.org-d8621c2ace41a0eb1ef1f7825309fb75c73d3f80.tar.gz schiltknecht.org-d8621c2ace41a0eb1ef1f7825309fb75c73d3f80.tar.bz2 schiltknecht.org-d8621c2ace41a0eb1ef1f7825309fb75c73d3f80.zip | |
Initial import of schiltknecht.fr
47 files changed, 2000 insertions, 0 deletions
diff --git a/CV/CV_1P.pdf b/CV/CV_1P.pdf Binary files differnew file mode 100644 index 0000000..1024c67 --- /dev/null +++ b/CV/CV_1P.pdf diff --git a/CV/CV_2P.pdf b/CV/CV_2P.pdf Binary files differnew file mode 100644 index 0000000..00ca488 --- /dev/null +++ b/CV/CV_2P.pdf diff --git a/Projets/1A/Allumettes.jar b/Projets/1A/Allumettes.jar Binary files differnew file mode 100644 index 0000000..d50b19c --- /dev/null +++ b/Projets/1A/Allumettes.jar diff --git a/Projets/1A/Particules.tar.gz b/Projets/1A/Particules.tar.gz Binary files differnew file mode 100644 index 0000000..6df4bde --- /dev/null +++ b/Projets/1A/Particules.tar.gz diff --git a/Projets/1A/Rapport-Enigma.pdf b/Projets/1A/Rapport-Enigma.pdf Binary files differnew file mode 100644 index 0000000..95d9b8e --- /dev/null +++ b/Projets/1A/Rapport-Enigma.pdf diff --git a/Projets/1A/Rapport-Huffman.pdf b/Projets/1A/Rapport-Huffman.pdf Binary files differnew file mode 100644 index 0000000..b87f8de --- /dev/null +++ b/Projets/1A/Rapport-Huffman.pdf diff --git a/Projets/1A/Rapport-Particules.pdf b/Projets/1A/Rapport-Particules.pdf Binary files differnew file mode 100644 index 0000000..cd1f6e0 --- /dev/null +++ b/Projets/1A/Rapport-Particules.pdf diff --git a/Projets/1A/Rapport-UML.pdf b/Projets/1A/Rapport-UML.pdf Binary files differnew file mode 100644 index 0000000..a79de9a --- /dev/null +++ b/Projets/1A/Rapport-UML.pdf diff --git a/Projets/1A/UML.jar b/Projets/1A/UML.jar Binary files differnew file mode 100644 index 0000000..de8f86e --- /dev/null +++ b/Projets/1A/UML.jar diff --git a/Projets/2A/Intergiciel.jar b/Projets/2A/Intergiciel.jar Binary files differnew file mode 100644 index 0000000..f8c84ab --- /dev/null +++ b/Projets/2A/Intergiciel.jar diff --git a/Projets/2A/MJC.tar.gz b/Projets/2A/MJC.tar.gz Binary files differnew file mode 100644 index 0000000..b8a189a --- /dev/null +++ b/Projets/2A/MJC.tar.gz diff --git a/Projets/2A/Rapport-Intergiciel.pdf b/Projets/2A/Rapport-Intergiciel.pdf Binary files differnew file mode 100644 index 0000000..24b92a4 --- /dev/null +++ b/Projets/2A/Rapport-Intergiciel.pdf diff --git a/Projets/2A/Rapport-eBide.pdf b/Projets/2A/Rapport-eBide.pdf Binary files differnew file mode 100644 index 0000000..8af09c7 --- /dev/null +++ b/Projets/2A/Rapport-eBide.pdf diff --git a/Projets/2A/Rapport-uJava.pdf b/Projets/2A/Rapport-uJava.pdf Binary files differnew file mode 100644 index 0000000..c0c5fcd --- /dev/null +++ b/Projets/2A/Rapport-uJava.pdf diff --git a/Projets/2A/Slides-eBide.pdf b/Projets/2A/Slides-eBide.pdf Binary files differnew file mode 100644 index 0000000..78e15d1 --- /dev/null +++ b/Projets/2A/Slides-eBide.pdf diff --git a/Projets/2A/VHDL.tar.bz2 b/Projets/2A/VHDL.tar.bz2 Binary files differnew file mode 100644 index 0000000..48de1fb --- /dev/null +++ b/Projets/2A/VHDL.tar.bz2 diff --git a/Projets/2A/eBide.tar.gz b/Projets/2A/eBide.tar.gz Binary files differnew file mode 100644 index 0000000..c5cfdb8 --- /dev/null +++ b/Projets/2A/eBide.tar.gz diff --git a/TIPE_2007/C/Sauv/TFD - C.tar.bz2 b/TIPE_2007/C/Sauv/TFD - C.tar.bz2 Binary files differnew file mode 100644 index 0000000..d8ca9fc --- /dev/null +++ b/TIPE_2007/C/Sauv/TFD - C.tar.bz2 diff --git a/TIPE_2007/C/Sauv/TFD - C.zip b/TIPE_2007/C/Sauv/TFD - C.zip Binary files differnew file mode 100644 index 0000000..bb60997 --- /dev/null +++ b/TIPE_2007/C/Sauv/TFD - C.zip diff --git a/TIPE_2007/C/TFD - C.tar.bz2 b/TIPE_2007/C/TFD - C.tar.bz2 Binary files differnew file mode 100644 index 0000000..9b207b7 --- /dev/null +++ b/TIPE_2007/C/TFD - C.tar.bz2 diff --git a/TIPE_2007/C/TFD - C.zip b/TIPE_2007/C/TFD - C.zip Binary files differnew file mode 100644 index 0000000..1e4a38f --- /dev/null +++ b/TIPE_2007/C/TFD - C.zip diff --git a/TIPE_2007/Dossier/Dossier_TIPE_2007_TF.pdf b/TIPE_2007/Dossier/Dossier_TIPE_2007_TF.pdf Binary files differnew file mode 100644 index 0000000..d6d5f29 --- /dev/null +++ b/TIPE_2007/Dossier/Dossier_TIPE_2007_TF.pdf diff --git a/TIPE_2007/Dossier/Dossier_TIPE_2007_TF.pdf.sansTOC b/TIPE_2007/Dossier/Dossier_TIPE_2007_TF.pdf.sansTOC Binary files differnew file mode 100644 index 0000000..d8a7a47 --- /dev/null +++ b/TIPE_2007/Dossier/Dossier_TIPE_2007_TF.pdf.sansTOC diff --git a/TIPE_2007/Dossier/Transparents_TIPE_2007_TF.pdf b/TIPE_2007/Dossier/Transparents_TIPE_2007_TF.pdf Binary files differnew file mode 100644 index 0000000..25434b7 --- /dev/null +++ b/TIPE_2007/Dossier/Transparents_TIPE_2007_TF.pdf diff --git a/TIPE_2007/Maple/TFD - Old.mw b/TIPE_2007/Maple/TFD - Old.mw new file mode 100644 index 0000000..950dcc2 --- /dev/null +++ b/TIPE_2007/Maple/TFD - Old.mw @@ -0,0 +1,496 @@ +<?xml version="1.0" encoding="UTF-8"?> +<Worksheet> +<Version major="7" minor="0"/> +<Label-Scheme value="2" prefix=""/> +<View-Properties presentation="false"></View-Properties> +<MapleNet-Properties warnlevel="3" longdelim="true" plotoptions="" echo="1" errorcursor="false" elisiontermsthreshold="10000" elisiontermsbefore="100" errorbreak="1" prettyprint="3" prompt="> " latexwidth="6.0" useclientjvm="true" ansi="false" screenheight="25" labelwidth="20" plotdevice="inline" typesetting="extended" displayprecision="-1" indentamount="4" elisiondigitsthreshold="10000" quiet="false" plotoutput="terminal" rtablesize="10" preplot="" showassumed="1" plotdriver="openviz" elisiontermsafter="100" labelling="true" postplot="" screenwidth="79" elisiondigitsbefore="100" elisiondigitsafter="100" verboseproc="1" imaginaryunit="I" ShowLabels="true"/> +<Styles><Font name="Heading 4" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="10" subscript="false" superscript="false" underline="false"/> +<Font name="Ordered List 1" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Left Justified Maple Output" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Help" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="9" subscript="false" superscript="false" underline="false"/> +<Font name="Help Variable" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Text" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Diagnostic" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[64,128,64]" italic="false" opaque="false" readonly="true" size="10" subscript="false" superscript="false" underline="false"/> +<Font name="2D Math Italic Small201203204" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="1" subscript="false" superscript="false" underline="false"/> +<Font name="Help Bold" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Page Number" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="2D Math Italic Small" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="1" subscript="false" superscript="false" underline="false"/> +<Font name="Ordered List 3" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Help Nonterminal" background="[255,255,255]" bold="true" executable="false" family="Monospaced" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Default" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Normal" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Maple Comment" background="[255,255,255]" bold="true" executable="false" family="Monospaced" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Maple Input" background="[255,255,255]" bold="true" executable="true" family="Monospaced" foreground="[255,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="2D Math Italic Small202204207" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="1" subscript="false" superscript="false" underline="false"/> +<Font name="2D Math Small" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="1" subscript="false" superscript="false" underline="false"/> +<Font name="Help Fixed" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="10" subscript="false" superscript="false" underline="false"/> +<Font name="Heading 3" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="2D Math Italic Small202205207" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="1" subscript="false" superscript="false" underline="false"/> +<Font name="Popup" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,128,128]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="true"/> +<Font name="Plot Title" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="10" subscript="false" superscript="false" underline="false"/> +<Font name="2D Input" background="[255,255,255]" bold="false" executable="true" family="Times New Roman" foreground="[255,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Copyright" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="10" subscript="false" superscript="false" underline="false"/> +<Font name="Maple Input Placeholder" background="[255,255,255]" bold="true" executable="true" family="Monospaced" foreground="[200,0,200]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="2D Math Bold Small" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="1" subscript="false" superscript="false" underline="false"/> +<Font name="2D Math" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="2D Math Italic Small202" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="1" subscript="false" superscript="false" underline="false"/> +<Font name="Fixed Width" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="10" subscript="false" superscript="false" underline="false"/> +<Font name="Error" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[255,0,255]" italic="false" opaque="false" readonly="true" size="10" subscript="false" superscript="false" underline="false"/> +<Font name="Heading 1" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="18" subscript="false" superscript="false" underline="false"/> +<Font name="Help Notes" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Title" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="18" subscript="false" superscript="false" underline="true"/> +<Font name="Help Underlined Bold" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Hyperlink" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,128,128]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="true"/> +<Font name="2D Math Italic Small202205206" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="1" subscript="false" superscript="false" underline="false"/> +<Font name="2D Math Symbol 2" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Ordered List 5" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Text Output" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="10" subscript="false" superscript="false" underline="false"/> +<Font name="Bullet Item" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Author" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Heading 2" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="14" subscript="false" superscript="false" underline="false"/> +<Font name="2D Math Italic Small202205" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="1" subscript="false" superscript="false" underline="false"/> +<Font name="Plot Text" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="8" subscript="false" superscript="false" underline="false"/> +<Font name="Maple Plot" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="2D Math Italic Small201" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="1" subscript="false" superscript="false" underline="false"/> +<Font name="Help Italic" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Output Labels" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="8" subscript="false" superscript="false" underline="false"/> +<Font name="Help Heading" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="14" subscript="false" superscript="false" underline="false"/> +<Font name="Help Normal" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="2D Comment" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Help Maple Name" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[104,64,92]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="2D Output" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,255]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Dictionary Hyperlink" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[147,0,15]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="true"/> +<Font name="Help Emphasized" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Help Italic Bold" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="LaTeX" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Help Menus" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Dash Item" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Ordered List 4" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="2D Math Italic Small202204" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="1" subscript="false" superscript="false" underline="false"/> +<Font name="2D Math Italic Small202204206" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="1" subscript="false" superscript="false" underline="false"/> +<Font name="Prompt" background="[255,255,255]" bold="true" executable="false" family="Monospaced" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Maple Output" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Help Underlined" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="true"/> +<Font name="List Item" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Line Printed Output" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="10" subscript="false" superscript="false" underline="false"/> +<Font name="Help Underlined Italic" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="true"/> +<Font name="2D Math Italic Small201203" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="1" subscript="false" superscript="false" underline="false"/> +<Font name="Warning" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="10" subscript="false" superscript="false" underline="false"/> +<Font name="2D Math Bold" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="2D Math Italic" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Ordered List 2" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Layout name="Heading 4" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Ordered List 5" alignment="left" bullet="none" firstindent="0" leftmargin="144" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Ordered List 1" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Text Output" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Bullet Item" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Left Justified Maple Output" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Help" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Author" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="8" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Diagnostic" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Heading 2" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="2" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Ordered List 3" alignment="left" bullet="none" firstindent="0" leftmargin="72" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Maple Plot" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Normal" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Dash Item" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Heading 3" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Ordered List 4" alignment="left" bullet="none" firstindent="0" leftmargin="108" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Maple Output" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Line Printed Output" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="List Item" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Warning" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Error" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Fixed Width" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Heading 1" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="4" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Title" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="12" spacebelow="12" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Ordered List 2" alignment="left" bullet="none" firstindent="0" leftmargin="36" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0"/> +<Pencil-style name="Pencil 3" pen-color="[0,0,0]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/> +<Pencil-style name="Pencil 1" pen-color="[0,0,0]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/> +<Pencil-style name="Pencil 5" pen-color="[255,0,0]" pen-height="5.0" pen-width="5.0" pen-opacity="1.0"/> +<Pencil-style name="Pencil 2" pen-color="[0,0,255]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/> +<Pencil-style name="Pencil 4" pen-color="[0,0,255]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/> +<Highlighter-style name="Highlighter 2" pen-color="[255,204,0]" pen-height="14.0" pen-width="14.0" pen-opacity="0.8"/> +<Highlighter-style name="Highlighter 4" pen-color="[0,255,255]" pen-height="32.0" pen-width="32.0" pen-opacity="0.8"/> +<Highlighter-style name="Highlighter 3" pen-color="[51,255,0]" pen-height="24.0" pen-width="24.0" pen-opacity="0.8"/> +<Highlighter-style name="Highlighter 1" pen-color="[255,153,255]" pen-height="12.0" pen-width="8.0" pen-opacity="0.8"/> +<Highlighter-style name="Highlighter 5" pen-color="[255,255,0]" pen-height="48.0" pen-width="48.0" pen-opacity="0.8"/> +</Styles> +<Page-Numbers enabled="false" first-number="1" first-numbered-page="1" horizontal-location="right" style="Page Number" vertical-location="bottom"/> +<Task-table> + <Task-category name="<default>"> + </Task-category> +</Task-table> +<Group labelreference="L3" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">restart:</Text-field> +</Input> +</Group> +<Section collapsed="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title> +<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Calcul de la TFD par une proc\303\251dure "na\303\257ve"</Font></Text-field></Title> +<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Cette proc\303\251dure calcule les coefficients de Fourier par une m\303\251thode dite "naive".</Font></Text-field> +<Group labelreference="L4" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">TFDSimple:=proc(x) + +local n,X: +n:=nops(x): + +X:=[seq(sum(x[j]*exp(-2*I*(j-1)*(k-1)*Pi/n),j=1..n),k=1..n)]; + + +end proc:</Text-field> +</Input> +</Group> +</Section> +<Section collapsed="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title> +<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Calcul de la TFD par une proc\303\251dure r\303\251cursive</Font></Text-field></Title> +<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Cette proc\303\251dure prend en entr\303\251e une liste repr\303\251sentant les coefficients d'un polyn\303\264me dont on cherche \303\240 calculer les coefficients de Fourier.</Font></Text-field> +<Group labelreference="L5" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">TFDRecur:=proc(x) + +local N,CoefFFT,xp,xi,u,v,omega: +N:=nops(x): + +if N=1 then CoefFFT:=x: +else + +xp:=[seq(x[2*i],i=1..N/2)]: +xi:=[seq(x[2*i-1],i=1..N/2)]: +u:=TFDRecur(xp): +v:=TFDRecur(xi): + +omega:=exp(-2*I*Pi/N): + +CoefFFT:=[seq(omega^(k-1)*u[k]+v[k],k=1..N/2),seq(-omega^(k-1)*u[k]+v[k],k=1..N/2)]; +end if: +CoefFFT; + +end proc:</Text-field> +</Input> +</Group> +</Section> +<Section collapsed="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title> +<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Calcul de la TFD par it\303\251ration</Font></Text-field></Title> +<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">On va utiliser l'\303\251criture des divers coefficients en binaire.</Font></Text-field> +<Text-field style="Text" layout="Normal"></Text-field> +<Group labelreference="L20" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">TFDIter:=proc(x) +local n,i,j,k,a,b,p,l,z,w,h,m,tmp: +n:=nops(x): +l:=x; +<Font encoding="UTF-8">p:=n/2; #p: puissance max dans d\303\251composition. +</Font> +while p>=1 do +#On fait les signaux jusqu'a 2^p +<Font encoding="UTF-8"> z:=1; #premi\303\250re valeur de omega. +</Font> w:=exp(-I*Pi/p); #c'est omega. + +<Font encoding="UTF-8"> for h from 1 to p do #Variable servant \303\240 la d\303\251composition +</Font> for m from 1 to n/(2*p) do + #On va calculer le signal xm + #prendre l'exemple du Butterfly pour illustrer + a:=h+2*(m-1)*p:#indice du signal pour j_(r-1) + b:=a+p; + tmp:=(l[a]-l[b])*z: + l[a]:=l[a]+l[b]: + l[b]:=tmp: + end do: + #On passe au signal m+1 -> w<-w^(m+1) + z:=z*w: + end do: + p:=p/2: +end do: + +#On a maintenant notre liste contenant les signaux x_r +<Font encoding="UTF-8">#Il reste \303\240 remettre les signaux dans le bon ordre. +</Font> +j:=1: +for i from 1 to n do + if j>i then tmp:=l[j]: + l[j]:=l[i]: + l[i]:=tmp: + end if: + p:=n/2: + while p>=2 and j>p do + j:=j-p: + p:=p/2: + end do: + j:=j+p: +end do: +return l; + + +end proc:</Text-field> +</Input> +</Group> +</Section> +<Section collapsed="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title> +<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Calcul de la Transform\303\251e Inverse.</Font></Text-field></Title> +<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">De m\303\252me, il est possible d'effectuer deux m\303\251thodes pour calculer la transform\303\251e inverse de Fourier :</Font></Text-field> +<Section collapsed="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title> +<Text-field style="Heading 2" layout="Heading 2"><Font encoding="UTF-8">La m\303\251thode na\303\257ve</Font></Text-field></Title> +<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">En utilisant le m\303\252me algorithme, on obtient : </Font></Text-field> +<Group labelreference="L6" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">TFDISimple:=proc(X) + +local n,F: +n:=nops(X): + +F:=[seq((1/n)*sum(X[i]*exp(2*I*(j-1)*(i-1)*Pi/(n)),i=1..n),j=1..n)]; + +end proc:</Text-field> +</Input> +</Group> +</Section> +<Section collapsed="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title> +<Text-field style="Heading 2" layout="Heading 2"><Font encoding="UTF-8">La m\303\251thode r\303\251cursive</Font></Text-field></Title> +<Text-field style="Text" layout="Normal">Attention : Pour que l'on puisse retrouver les valeurs initiales, </Text-field> +<Text-field style="Text" layout="Normal">il ne faut pas oublier de diviser par le nombre de valeurs.</Text-field> +<Group labelreference="L16" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">TFDIRecur:=proc(X) +local Coef,N,Xi,Xp,U,V,Omega,k; +N:=nops(X); + +if N=1 then Coef:=X: +else + Xi:=[seq(X[2*k-1],k=1..N/2)]; + Xp:=[seq(X[2*k],k=1..N/2)]; + U:=TFDIRecur(Xi); + V:=TFDIRecur(Xp); + Omega:=exp(2*I*Pi/N); + Coef:=[seq(U[k]+Omega^(k-1)*V[k],k=1..N/2),seq(U[k]-Omega^(k-1)*V[k],k=1..N/2)]: + end if; +Coef; +end proc:</Text-field> +</Input> +</Group> +</Section> +<Section collapsed="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title> +<Text-field style="Heading 2" layout="Heading 2"><Font encoding="UTF-8">La m\303\251thode it\303\251rative</Font></Text-field></Title> +<Text-field style="Text" layout="Normal"></Text-field> +<Group labelreference="L25" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">TFDIIter:=proc(x) +local n,i,j,k,a,b,p,l,z,w,h,m,tmp: +n:=nops(x): +l:=x; +p:=n/2; + +while p>=1 do + z:=1; +<Font encoding="UTF-8"> w:=exp(I*Pi/p); #C'est la diff\303\251rence +</Font> + for h from 1 to p do + for m from 1 to n/(2*p) do + a:=h+2*(m-1)*p: + b:=a+p; + tmp:=(l[a]-l[b])*z: + l[a]:=l[a]+l[b]: + l[b]:=tmp: + end do: + z:=z*w: + end do: + p:=p/2: +end do: + +j:=1: +for i from 1 to n do + if j>i then tmp:=l[j]: + l[j]:=l[i]: + l[i]:=tmp: + end if: + p:=n/2: + while p>=2 and j>p do + j:=j-p: + p:=p/2: + end do: + j:=j+p: +end do: +return l/n; +end proc:</Text-field> +</Input> +</Group> +</Section> +</Section> +<Section collapsed="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title> +<Text-field style="Heading 1" layout="Heading 1">Mesure du temps de calcul</Text-field></Title> +<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">On va ici s'inter\303\251sser \303\240 la mesure du temps pris pour calculer les coefficients de Fourier (Transform\303\251e Directe) par la m\303\251thode na\303\257ve et la m\303\251thode r\303\251cursive pour n grand, par exemple n=2^5, n=2^10, n=2^20. +Pour cela, on va d\303\251finir la liste de nos coefficients, entiers compris entre -50 et 50 par exemple, par une m\303\251thode "pseudo-al\303\251atoire" : </Font></Text-field> +<Text-field style="Text" layout="Normal"></Text-field> +<Group labelreference="L7" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">with(RandomTools[MersenneTwister]); +A:=[seq(GenerateInteger32(),i=1..2^5)]:</Text-field> +</Input> +<Output> +<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">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</Equation></Text-field> +</Output> +</Group> +<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title> +<Text-field style="Heading 2" layout="Heading 2"><Font encoding="UTF-8">M\303\251thode na\303\257ve</Font></Text-field></Title> +<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">On effectue le calcul pour la m\303\251thode it\303\251rative : </Font></Text-field> +<Group labelreference="L8" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">t:=time(): +N:=TFDSimple(A): +Temps := time()-t;</Text-field> +</Input> +<Output> +<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiQtSSVtcm93RzYjL0krbW9kdWxlbmFtZUc2IkksVHlwZXNldHRpbmdHSShfc3lzbGliR0YoNiYtSSNtaUdGJTY5USZUZW1wc0YoLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuRigvJSVzaXplR1EjMTJGKC8lJWJvbGRHUSZmYWxzZUYoLyUnaXRhbGljR1EldHJ1ZUYoLyUqdW5kZXJsaW5lR0Y4LyUqc3Vic2NyaXB0R0Y4LyUsc3VwZXJzY3JpcHRHRjgvJStmb3JlZ3JvdW5kR1EqWzAsMCwyNTVdRigvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYoLyUnb3BhcXVlR0Y4LyUrZXhlY3V0YWJsZUdGOC8lKXJlYWRvbmx5R0Y4LyUpY29tcG9zZWRHRjgvJSpjb252ZXJ0ZWRHRjgvJStpbXNlbGVjdGVkR0Y4LyUscGxhY2Vob2xkZXJHRjgvJTBmb250X3N0eWxlX25hbWVHUSoyRH5PdXRwdXRGKC8lKm1hdGhjb2xvckdGRC8lL21hdGhiYWNrZ3JvdW5kR0ZHLyUrZm9udGZhbWlseUdGMi8lLG1hdGh2YXJpYW50R1EnaXRhbGljRigvJSltYXRoc2l6ZUdGNS1JI21vR0YlNjNRKSZBc3NpZ247RigvJSVmb3JtR1EmaW5maXhGKC8lJmZlbmNlR0Y4LyUqc2VwYXJhdG9yR0Y4LyUnbHNwYWNlR1EvdGhpY2ttYXRoc3BhY2VGKC8lJ3JzcGFjZUdGW3AvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKG1heHNpemVHUSlpbmZpbml0eUYoLyUobWluc2l6ZUdRIjFGKC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUwZm9udF9zdHlsZV9uYW1lR0ZYLyUlc2l6ZUdGNS8lK2ZvcmVncm91bmRHRkQvJStiYWNrZ3JvdW5kR0ZHLUkjbW5HRiU2OVEmMC4wOTZGKEYwRjNGNi9GOkY4RjxGPkZARkJGRUZIRkpGTEZORlBGUkZURlZGWUZlbkZnbi9Gam5RJ25vcm1hbEYoRlxvL0krbXNlbWFudGljc0dGJVEjOj1GKDcjLV9GKUksbXByaW50c2xhc2hHRig2JDcjPkkmVGVtcHNHRigkIiMnKiEiJDcjRmhy</Equation></Text-field> +</Output> +</Group> +</Section> +<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title> +<Text-field style="Heading 2" layout="Heading 2"><Font encoding="UTF-8">M\303\251thode r\303\251cursive</Font></Text-field></Title> +<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Calcul pour la m\303\251thode r\303\251cursive : </Font></Text-field> +<Group labelreference="L9" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">t:=time(): +R:=TFDRecur(A): +Temps := time()-t;</Text-field> +</Input> +<Output> +<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">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</Equation></Text-field> +</Output> +</Group> +</Section> +<Section collapsed="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title> +<Text-field style="Heading 2" layout="Heading 2"><Font encoding="UTF-8">M\303\251thode it\303\251rative</Font></Text-field></Title> +<Text-field style="Text" layout="Normal"></Text-field> +<Group labelreference="L24" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">t:=time(): +I:=TFDIter(A): +Temps:= time()-t;</Text-field> +</Input> +<Output> +<Text-field style="Error" layout="Error">Error, illegal use of an object as a name</Text-field> +</Output> +<Output> +<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">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</Equation></Text-field> +</Output> +</Group> +<Group labelreference="L26" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal"></Text-field> +</Input> +</Group> +</Section> +</Section> +<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title> +<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Multiplication de polyn\303\264mes</Font></Text-field></Title> +<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title> +<Text-field style="Heading 2" layout="Heading 2">Algorithme</Text-field></Title> +<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">On va prendre en entr\303\251e deux listes contenant les coefficients des deux polyn\303\264mes dont on cherche \303\240 calculer le produit.</Font></Text-field> +<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Utilise la m\303\251thode simple, car sinon impose en plus une condition sur le degr\303\251 des polyn\303\264mes.</Font></Text-field> +<Group labelreference="L28" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">Multiplication:=proc(P,Q) + +local n,N,R,A,B,i,j,k: + +n:=nops(P): + +<Font encoding="UTF-8">#On cr\303\251e la liste des coefficients \303\251tendus \303\240 2n \303\251l\303\251ments. +</Font>A:=[seq(P[k],k=1..n),seq(0,k=n+1..2*n)]; +B:=[seq(Q[k],k=1..n),seq(0,k=n+1..2*n)]; + +#On calcule la TFD de chacune de ces listes. +A:=TFDIter(A): +B:=TFDIter(B): + +#On effectue les produits +R:=[seq(A[k]*B[k],k=1..2*n)]: + +<Font encoding="UTF-8">#On r\303\251cup\303\250re les coefficients. +</Font>TFDIIter(R); + +end proc:</Text-field> +</Input> +</Group> +<Group labelreference="L27" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal"></Text-field> +</Input> +</Group> +</Section> +<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title> +<Text-field style="Heading 2" layout="Heading 2">Exemple</Text-field></Title> +<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title> +<Text-field style="Heading 3" layout="Heading 3">Maple</Text-field></Title> +<Text-field style="Text" layout="Normal">On va poser <Equation executable="false" style="2D Math" input-equation="Typesetting:-mrow(Typesetting:-mi("P"), Typesetting:-mo(":=", form = "infix", fence = "false", separator = "false", lspace = "thickmathspace", rspace = "thickmathspace", stretchy = "false", symmetric = "false", maxsize = "infinity", minsize = "1", largeop = "false", movablelimits = "false", accent = "false", font_style_name = "2D Math", size = "12", foreground = "[0,0,0]", background = "[255,255,255]"), Typesetting:-mrow(Typesetting:-mi(""), Typesetting:-munderover(Typesetting:-mo("\342\210\221", form = "prefix", fence = "false", separator = "false", lspace = "0em", rspace = "thinmathspace", stretchy = "true", symmetric = "false", maxsize = "infinity", minsize = "1", largeop = "true", movablelimits = "true", accent = "false", font_style_name = "2D Math", size = "12", foreground = "[0,0,0]", background = "[255,255,255]"), Typesetting:-mrow(Typesetting:-mi(""), Typesetting:-mi("i"), Typesetting:-mo("=", form = "infix", fence = "false", separator = "false", lspace = "thickmathspace", rspace = "thickmathspace", stretchy = "false", symmetric = "false", maxsize = "infinity", minsize = "1", largeop = "false", movablelimits = "false", accent = "false", font_style_name = "2D Math", size = "12", foreground = "[0,0,0]", background = "[255,255,255]"), Typesetting:-mn("0"), Typesetting:-mi("")), Typesetting:-mrow(Typesetting:-mn("10")), accent = "false", accentunder = "false"), Typesetting:-mi(""), Typesetting:-msup(Typesetting:-mi("iX"), Typesetting:-mi("i"), superscriptshift = "0"), Typesetting:-mi("")), Typesetting:-mi(""))">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</Equation> et <Equation executable="false" style="2D Math" input-equation="Typesetting:-mrow(Typesetting:-mi("Q"), Typesetting:-mo(":=", form = "infix", fence = "false", separator = "false", lspace = "thickmathspace", rspace = "thickmathspace", stretchy = "false", symmetric = "false", maxsize = "infinity", minsize = "1", largeop = "false", movablelimits = "false", accent = "false", font_style_name = "2D Math", size = "12", foreground = "[0,0,0]", background = "[255,255,255]"), Typesetting:-mrow(Typesetting:-mi(""), Typesetting:-munderover(Typesetting:-mo("\342\210\221", form = "prefix", fence = "false", separator = "false", lspace = "0em", rspace = "thinmathspace", stretchy = "true", symmetric = "false", maxsize = "infinity", minsize = "1", largeop = "true", movablelimits = "true", accent = "false", font_style_name = "2D Math", size = "12", foreground = "[0,0,0]", background = "[255,255,255]"), Typesetting:-mrow(Typesetting:-mi(""), Typesetting:-mi("i"), Typesetting:-mo("=", form = "infix", fence = "false", separator = "false", lspace = "thickmathspace", rspace = "thickmathspace", stretchy = "false", symmetric = "false", maxsize = "infinity", minsize = "1", largeop = "false", movablelimits = "false", accent = "false", font_style_name = "2D Math", size = "12", foreground = "[0,0,0]", background = "[255,255,255]"), Typesetting:-mn("0")), Typesetting:-mn("10"), accent = "false", accentunder = "false"), Typesetting:-mi(""), Typesetting:-msup(Typesetting:-mi("i"), Typesetting:-mi("i"), superscriptshift = "0"), Typesetting:-mi(""), Typesetting:-msup(Typesetting:-mi("X"), Typesetting:-mi("i"), superscriptshift = "0"), Typesetting:-mi("")), Typesetting:-mi(""))">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</Equation></Text-field> +<Group labelreference="L29" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">P:=sum(i*X^i,i=0..15);</Text-field> +</Input> +<Output> +<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">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</Equation></Text-field> +</Output> +</Group> +<Group labelreference="L30" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">Q:=sum(i^i*X^i,i=0..15);</Text-field> +</Input> +<Output> +<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">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</Equation></Text-field> +</Output> +</Group> +<Group labelreference="L31" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">R:=expand(P*Q);</Text-field> +</Input> +<Output> +<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">6$-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibGF(6&-I#miGF%69Q"RF(/%'familyGQ0Times~New~RomanF(/%%sizeGQ#12F(/%%boldGQ&falseF(/%'italicGQ%trueF(/%*underlineGF8/%*subscriptGF8/%,superscriptGF8/%+foregroundGQ*[0,0,255]F(/%+backgroundGQ.[255,255,255]F(/%'opaqueGF8/%+executableGF8/%)readonlyGF8/%)composedGF8/%*convertedGF8/%+imselectedGF8/%,placeholderGF8/%0font_style_nameGQ*2D~OutputF(/%*mathcolorGFD/%/mathbackgroundGFG/%+fontfamilyGF2/%,mathvariantGQ'italicF(/%)mathsizeGF5-I#moGF%63Q)&Assign;F(/%%formGQ&infixF(/%&fenceGF8/%*separatorGF8/%'lspaceGQ/thickmathspaceF(/%'rspaceGF[p/%)stretchyGF8/%*symmetricGF8/%(maxsizeGQ)infinityF(/%(minsizeGQ"1F(/%(largeopGF8/%.movablelimitsGF8/%'accentGF8/%0font_style_nameGFX/%%sizeGF5/%+foregroundGFD/%+backgroundGFG-F$6hn-F-69Q"XF(F0F3F6F9F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFinF\o-F_o63Q'&plus;F(FboFeoFgo/FjoQ0mediummathspaceF(/F]pF_rF^pF`pFbpFepFhpFjpF\qF^qF`qFbqFdq-F$6&-I#mnGF%69Q46297194567715401490F(F0F3F6/F:F8F<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgn/FjnQ'normalF(F\o-F_o63Q1&InvisibleTimes;F(FboFeoFgo/FjoQ$0emF(/F]pF^sF^pF`pFbpFepFhpFjpF\qF^qF`qFbqFdq-I%msupGF%6%Fhq-Fdr69Q#29F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\o/%1superscriptshiftGQ"0F(/I+msemanticsGF%Q"*F(F[r-F$6&-Fdr69Q41809017635556574678F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFjr-Fas6%Fhq-Fdr69Q#19F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFfsFisF[r-F$6&-Fdr69Q42258335619686770378F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFjr-Fas6%Fhq-Fdr69Q#20F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFfsFisF[r-F$6&-Fdr69Q3910381667296175524F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFjr-Fas6%Fhq-Fdr69Q#17F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFfsFisF[r-F$6&-Fdr69Q41359699651426375287F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFjr-Fas6%Fhq-Fdr69Q#18F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFfsFisF[r-F$6&-Fdr69Q"3F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFjr-Fas6%Fhq-Fdr69Q"2F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFfsFisF[r-F$6&-Fdr69Q"9F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFjr-Fas6%FhqFfvFfsFisF[r-F$6&-Fdr69Q#42F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFjr-Fas6%Fhq-Fdr69Q"4F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFfsFisF[r-F$6&-Fdr69Q$331F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFjr-Fas6%Fhq-Fdr69Q"5F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFfsFisF[r-F$6&-Fdr69Q*423649575F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFjr-Fas6%Fhq-Fdr69Q#10F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFfsFisF[r-F$6&-Fdr69Q,10828720893F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFjr-Fas6%Fhq-Fdr69Q#11F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFfsFisF[r-F$6&-Fdr69Q'927428F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFjr-Fas6%Fhq-Fdr69Q"8F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFfsFisF[r-F$6&-Fdr69Q)18578257F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFjr-Fas6%FhqF`wFfsFisF[r-F$6&-Fdr69Q%3745F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFjr-Fas6%Fhq-Fdr69Q"6F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFfsFisF[r-F$6&-Fdr69Q&53815F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFjr-Fas6%Fhq-Fdr69Q"7F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFfsFisF[r-F$6&-Fdr69Q45403556766301582090F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFjr-Fas6%Fhq-Fdr69Q#27F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFfsFisF[r-F$6&-Fdr69Q45852731797107867894F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFjr-Fas6%Fhq-Fdr69Q#28F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFfsFisF[r-F$6&-Fdr69Q-306545462822F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFjr-Fas6%Fhq-Fdr69Q#12F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFfsFisF[r-F$6&-Fdr69Q.9518362653007F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFjr-Fas6%Fhq-Fdr69Q#13F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFfsFisF[r-F$6&-Fdr69Q0321605286435445F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFjr-Fas6%Fhq-Fdr69Q#14F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFfsFisF[r-F$6&-Fdr69Q46568408355712890625F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFjr-Fas6%Fhq-Fdr69Q#30F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFfsFisF[r-F$6&-Fdr69Q211745699035775899F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFjr-Fas6%Fhq-Fdr69Q#15F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFfsFisF[r-F$6&-Fdr69Q3461063683165975712F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFjr-Fas6%Fhq-Fdr69Q#16F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFfsFisF[r-F$6&-Fdr69Q42707653603816919918F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFjr-Fas6%Fhq-Fdr69Q#21F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFfsFisF[r-F$6&-Fdr69Q43156971587946369837F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFjr-Fas6%Fhq-Fdr69Q#22F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFfsFisF[r-F$6&-Fdr69Q43606289572063342908F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFjr-Fas6%Fhq-Fdr69Q#23F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFfsFisF[r-F$6&-Fdr69Q44055607555924233668F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFjr-Fas6%Fhq-Fdr69Q#24F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFfsFisF[r-F$6&-Fdr69Q44504925533838054844F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFjr-Fas6%Fhq-Fdr69Q#25F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFfsFisF[r-F$6&-Fdr69Q44954243357563183355F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFjr-Fas6%Fhq-Fdr69Q#26F(F0F3F6FgrF<F>F@FBFEFHFJFLFNFPFRFTFVFYFenFgnFhrF\oFfsFis/FjsQ"+F(/FjsQ#:=F(7#-_F)I,mprintslashGF(6$7#>I"RGF(,hnI"XGF("""*&"4!\,arnX>(H'F\fl)F[fl"#HF\flF\fl*&"4yYdcbj<!4=F\fl)F[fl"#>F\flF\fl*&"4y.x'o>cLeAF\fl)F[fl"#?F\flF\fl*&"3Cb<'Hn;Q5*F\fl)F[fl"#<F\flF\fl*&"4(GvjU^'*pf8F\fl)F[fl"#=F\flF\fl*&""$F\fl)F[fl""#F\flF\fl*&""*F\fl)F[flFbglF\flF\fl*&"#UF\fl)F[fl""%F\flF\fl*&"$J$F\fl)F[fl""&F\flF\fl*&"*v&\OUF\fl)F[fl"#5F\flF\fl*&",$*3sG3"F\fl)F[fl"#6F\flF\fl*&"'Gu#*F\fl)F[fl"")F\flF\fl*&")d#y&=F\fl)F[flFfglF\flF\fl*&"%XPF\fl)F[fl""'F\flF\fl*&"&:Q&F\fl)F[fl""(F\flF\fl*&"4!4#e,jwcNS&F\fl)F[fl"#FF\flF\fl*&"4%*y'y5(zJF&eF\fl)F[fl"#GF\flF\fl*&"-AGYXlIF\fl)F[fl"#7F\flF\fl*&".2Ili$=&*F\fl)F[fl"#8F\flF\fl*&"0XaV'G0;KF\fl)F[fl"#9F\flF\fl*&"4D1*Grb$3%olF\fl)F[fl"#IF\flF\fl*&"2**exN!*pX<"F\fl)F[fl"#:F\flF\fl*&"37d(f;$oj5YF\fl)F[fl"#;F\flF\fl*&"4=*>p"Qg`wq#F\fl)F[fl"#@F\flF\fl*&"4P)pj%zerp:$F\fl)F[fl"#AF\flF\fl*&"43HMj?d*G1OF\fl)F[fl"#BF\flF\fl*&"4oOBCfb2c0%F\fl)F[fl"#CF\flF\fl*&"4W[0QQ`D\]%F\fl)F[fl"#DF\flF\fl*&"4bL=jvNVU&\F\fl)F[fl"#EF\flF\fl7#Fjel</Equation></Text-field> +</Output> +</Group> +<Group labelreference="L32" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal"></Text-field> +</Input> +</Group> +</Section> +<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title> +<Text-field style="Heading 3" layout="Heading 3">Algo</Text-field></Title> +<Text-field style="Text" layout="Normal"></Text-field> +<Group labelreference="L33" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">P:=[seq(i,i=0..15)];</Text-field> +</Input> +<Output> +<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">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</Equation></Text-field> +</Output> +</Group> +<Group labelreference="L34" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">Q:=[seq(i^i,i=0..15)];</Text-field> +</Input> +<Output> +<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">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</Equation></Text-field> +</Output> +</Group> +<Group labelreference="L35" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">R:=evalf(Multiplication(P,Q)):</Text-field> +</Input> +</Group> +<Group labelreference="L38" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">R:=[seq(round(R[j]),j=1..20)];</Text-field> +</Input> +<Output> +<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">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</Equation></Text-field> +</Output> +</Group> +<Group labelreference="L36" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal"></Text-field> +</Input> +</Group> +</Section> +</Section> +</Section> +</Worksheet>
\ No newline at end of file diff --git a/TIPE_2007/Maple/TFD.mw b/TIPE_2007/Maple/TFD.mw new file mode 100644 index 0000000..87d6772 --- /dev/null +++ b/TIPE_2007/Maple/TFD.mw @@ -0,0 +1,472 @@ +<?xml version="1.0" encoding="UTF-8"?> +<Worksheet> +<Version major="7" minor="0"/> +<Label-Scheme value="2" prefix=""/> +<View-Properties presentation="false"></View-Properties> +<MapleNet-Properties warnlevel="3" longdelim="true" plotoptions="" echo="1" errorcursor="false" elisiontermsthreshold="10000" elisiontermsbefore="100" errorbreak="1" prettyprint="3" prompt="> " latexwidth="6.0" useclientjvm="true" ansi="false" screenheight="25" labelwidth="20" plotdevice="inline" typesetting="extended" displayprecision="-1" indentamount="4" elisiondigitsthreshold="10000" quiet="false" plotoutput="terminal" rtablesize="10" preplot="" showassumed="1" plotdriver="openviz" elisiontermsafter="100" labelling="true" postplot="" screenwidth="79" elisiondigitsbefore="100" elisiondigitsafter="100" verboseproc="1" imaginaryunit="I" ShowLabels="true"/> +<Styles><Font name="Heading 4" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="10" subscript="false" superscript="false" underline="false"/> +<Font name="Ordered List 1" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Left Justified Maple Output" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Help" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="9" subscript="false" superscript="false" underline="false"/> +<Font name="Help Variable" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Text" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Diagnostic" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[64,128,64]" italic="false" opaque="false" readonly="true" size="10" subscript="false" superscript="false" underline="false"/> +<Font name="2D Math Italic Small201203204" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="1" subscript="false" superscript="false" underline="false"/> +<Font name="Help Bold" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Page Number" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="2D Math Italic Small" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="1" subscript="false" superscript="false" underline="false"/> +<Font name="Ordered List 3" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Help Nonterminal" background="[255,255,255]" bold="true" executable="false" family="Monospaced" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Default" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Normal" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Maple Comment" background="[255,255,255]" bold="true" executable="false" family="Monospaced" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Maple Input" background="[255,255,255]" bold="true" executable="true" family="Monospaced" foreground="[255,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="2D Math Italic Small202204207" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="1" subscript="false" superscript="false" underline="false"/> +<Font name="2D Math Small" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="1" subscript="false" superscript="false" underline="false"/> +<Font name="Help Fixed" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="10" subscript="false" superscript="false" underline="false"/> +<Font name="Heading 3" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="2D Math Italic Small202205207" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="1" subscript="false" superscript="false" underline="false"/> +<Font name="Popup" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,128,128]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="true"/> +<Font name="Plot Title" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="10" subscript="false" superscript="false" underline="false"/> +<Font name="2D Input" background="[255,255,255]" bold="false" executable="true" family="Times New Roman" foreground="[255,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Copyright" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="10" subscript="false" superscript="false" underline="false"/> +<Font name="Maple Input Placeholder" background="[255,255,255]" bold="true" executable="true" family="Monospaced" foreground="[200,0,200]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="2D Math Bold Small" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="1" subscript="false" superscript="false" underline="false"/> +<Font name="2D Math" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="2D Math Italic Small202" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="1" subscript="false" superscript="false" underline="false"/> +<Font name="Fixed Width" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="10" subscript="false" superscript="false" underline="false"/> +<Font name="Error" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[255,0,255]" italic="false" opaque="false" readonly="true" size="10" subscript="false" superscript="false" underline="false"/> +<Font name="Heading 1" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="18" subscript="false" superscript="false" underline="false"/> +<Font name="Help Notes" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Title" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="18" subscript="false" superscript="false" underline="true"/> +<Font name="Help Underlined Bold" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Hyperlink" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,128,128]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="true"/> +<Font name="2D Math Symbol 2" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="2D Math Italic Small202205206" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="1" subscript="false" superscript="false" underline="false"/> +<Font name="Ordered List 5" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Text Output" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="10" subscript="false" superscript="false" underline="false"/> +<Font name="Bullet Item" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Author" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Heading 2" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="14" subscript="false" superscript="false" underline="false"/> +<Font name="2D Math Italic Small202205" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="1" subscript="false" superscript="false" underline="false"/> +<Font name="Plot Text" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="8" subscript="false" superscript="false" underline="false"/> +<Font name="Maple Plot" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="2D Math Italic Small201" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="1" subscript="false" superscript="false" underline="false"/> +<Font name="Help Italic" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Help Heading" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="14" subscript="false" superscript="false" underline="false"/> +<Font name="Output Labels" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="8" subscript="false" superscript="false" underline="false"/> +<Font name="Help Normal" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="2D Comment" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Help Maple Name" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[104,64,92]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="2D Output" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,255]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Dictionary Hyperlink" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[147,0,15]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="true"/> +<Font name="Help Emphasized" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Help Italic Bold" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Help Menus" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="LaTeX" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Dash Item" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Ordered List 4" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="2D Math Italic Small202204206" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="1" subscript="false" superscript="false" underline="false"/> +<Font name="2D Math Italic Small202204" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="1" subscript="false" superscript="false" underline="false"/> +<Font name="Prompt" background="[255,255,255]" bold="true" executable="false" family="Monospaced" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Maple Output" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Help Underlined" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="true"/> +<Font name="List Item" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Line Printed Output" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="10" subscript="false" superscript="false" underline="false"/> +<Font name="Help Underlined Italic" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="true"/> +<Font name="2D Math Italic Small201203" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="1" subscript="false" superscript="false" underline="false"/> +<Font name="Warning" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="10" subscript="false" superscript="false" underline="false"/> +<Font name="2D Math Bold" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="2D Math Italic" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Font name="Ordered List 2" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false"/> +<Layout name="Heading 4" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Ordered List 5" alignment="left" bullet="none" firstindent="0" leftmargin="144" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Ordered List 1" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Text Output" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Bullet Item" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Left Justified Maple Output" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Help" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Author" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="8" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Diagnostic" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Heading 2" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="2" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Ordered List 3" alignment="left" bullet="none" firstindent="0" leftmargin="72" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Maple Plot" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Normal" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Dash Item" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Heading 3" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Ordered List 4" alignment="left" bullet="none" firstindent="0" leftmargin="108" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Maple Output" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Line Printed Output" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="List Item" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Warning" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Error" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Fixed Width" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Heading 1" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="4" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Title" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="12" spacebelow="12" linebreak="space" pagebreak-before="false" initial="0"/> +<Layout name="Ordered List 2" alignment="left" bullet="none" firstindent="0" leftmargin="36" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0"/> +<Pencil-style name="Pencil 3" pen-color="[0,0,0]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/> +<Pencil-style name="Pencil 1" pen-color="[0,0,0]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/> +<Pencil-style name="Pencil 5" pen-color="[255,0,0]" pen-height="5.0" pen-width="5.0" pen-opacity="1.0"/> +<Pencil-style name="Pencil 2" pen-color="[0,0,255]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/> +<Pencil-style name="Pencil 4" pen-color="[0,0,255]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/> +<Highlighter-style name="Highlighter 2" pen-color="[255,204,0]" pen-height="14.0" pen-width="14.0" pen-opacity="0.8"/> +<Highlighter-style name="Highlighter 4" pen-color="[0,255,255]" pen-height="32.0" pen-width="32.0" pen-opacity="0.8"/> +<Highlighter-style name="Highlighter 3" pen-color="[51,255,0]" pen-height="24.0" pen-width="24.0" pen-opacity="0.8"/> +<Highlighter-style name="Highlighter 1" pen-color="[255,153,255]" pen-height="12.0" pen-width="8.0" pen-opacity="0.8"/> +<Highlighter-style name="Highlighter 5" pen-color="[255,255,0]" pen-height="48.0" pen-width="48.0" pen-opacity="0.8"/> +</Styles> +<Page-Numbers enabled="false" first-number="1" first-numbered-page="1" horizontal-location="right" style="Page Number" vertical-location="bottom"/> +<Task-table> + <Task-category name="<default>"> + </Task-category> +</Task-table> +<Group labelreference="L3" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">restart:</Text-field> +</Input> +</Group> +<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title> +<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Calcul de la TFD par une proc\303\251dure "na\303\257ve"</Font></Text-field></Title> +<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Cette proc\303\251dure calcule les coefficients de Fourier par une m\303\251thode dite "naive".</Font></Text-field> +<Group labelreference="L4" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">TFDSimple:=proc(x) + +local n,X: +n:=nops(x): + +X:=[seq(sum(x[j]*exp(-2*I*(j-1)*(k-1)*Pi/n),j=1..n),k=1..n)]; + +end proc:</Text-field> +</Input> +</Group> +</Section> +<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title> +<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Calcul de la TFD par une proc\303\251dure r\303\251cursive</Font></Text-field></Title> +<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Cette proc\303\251dure prend en entr\303\251e une liste repr\303\251sentant les coefficients d'un polyn\303\264me dont on cherche \303\240 calculer les coefficients de Fourier.</Font></Text-field> +<Group labelreference="L5" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">TFDRecur:=proc(x) + +local N,CoefFFT,xp,xi,u,v,omega: +N:=nops(x): + +if N=1 then CoefFFT:=x: +else + +xp:=[seq(x[2*i],i=1..N/2)]: +xi:=[seq(x[2*i-1],i=1..N/2)]: +u:=TFDRecur(xp): +v:=TFDRecur(xi): + +omega:=exp(-2*I*Pi/N): + +CoefFFT:=[seq(omega^(k-1)*u[k]+v[k],k=1..N/2),seq(-omega^(k-1)*u[k]+v[k],k=1..N/2)]; +end if: +CoefFFT; + +end proc:</Text-field><Pagebreak></Pagebreak> +</Input> +</Group> +</Section> +<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title> +<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Calcul de la TFD par it\303\251ration</Font></Text-field></Title> +<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">On va utiliser l'\303\251criture des divers coefficients en binaire.</Font></Text-field> +<Text-field style="Text" layout="Normal"></Text-field> +<Group labelreference="L20" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">TFDIter:=proc(x) +local n,i,j,k,a,b,p,l,z,w,h,m,tmp: +n:=nops(x): +l:=Array(1..n): +l:=Array(x): +p:=n/2:<Font encoding="UTF-8">#p: puissance de 2 dans d\303\251composition. +</Font> +while p>=1 do +<Font encoding="UTF-8"> z:=1: #premi\303\250re valeur de omega. +</Font> w:=exp(-I*Pi/p): #c'est omega. + +<Font encoding="UTF-8"> for h from 1 to p do #Variable servant \303\240 la d\303\251composition +</Font> for m from 1 to n/(2*p) do + #On va calculer le signal xm +<Font encoding="UTF-8"> a:=h+2*(m-1)*p: #Premi\303\250re valeur du signal x_(m-1) +</Font> b:=a+p: #Seconde valeur du signal x_(m-1) + tmp:=(l[a]-l[b])*z: + l[a]:=l[a]+l[b]: #x_m(a) = x_(m-1)(a)+x_(m-1)(b) + l[b]:=tmp: #x_m(b) = (x_(m-1)(a)-x_(m-1)(b))*z + end do: + #On passe au signal m+1 -> w<-w^(m+1) + z:=z*w: + end do: + p:=p/2: +end do: + +#On a maintenant notre liste contenant les signaux x_r +<Font encoding="UTF-8">#Il reste \303\240 remettre les signaux dans le bon ordre.</Font> +j:=1: +for i from 1 to n do + if j>i then tmp:=l[j]: + l[j]:=l[i]: + l[i]:=tmp: + end if: + p:=n/2: + while p>=2 and j>p do + j:=j-p: + p:=p/2: + end do: + j:=j+p: +end do: +l; +end proc:</Text-field><Pagebreak></Pagebreak> +</Input> +</Group> +</Section> +<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title> +<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Calcul de la Transform\303\251e Inverse.</Font></Text-field></Title> +<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">De m\303\252me, il est possible d'effectuer deux m\303\251thodes pour calculer la transform\303\251e inverse de Fourier :</Font></Text-field> +<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title> +<Text-field style="Heading 2" layout="Heading 2"><Font encoding="UTF-8">La m\303\251thode na\303\257ve</Font></Text-field></Title> +<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">En utilisant le m\303\252me algorithme, on obtient : </Font></Text-field> +<Group labelreference="L6" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">TFDISimple:=proc(X) + +local n,F: +n:=nops(X): + +F:=[seq((1/n)*sum(X[i]*exp(2*I*(j-1)*(i-1)*Pi/(n)),i=1..n),j=1..n)]; + +end proc:</Text-field> +</Input> +</Group> +</Section> +<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title> +<Text-field style="Heading 2" layout="Heading 2"><Font encoding="UTF-8">La m\303\251thode r\303\251cursive</Font></Text-field></Title> +<Text-field style="Text" layout="Normal">Attention : Pour que l'on puisse retrouver les valeurs initiales, </Text-field> +<Text-field style="Text" layout="Normal">il ne faut pas oublier de diviser par le nombre de valeurs.</Text-field> +<Group labelreference="L16" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">TFDIRecur:=proc(X) +local Coef,N,Xi,Xp,U,V,Omega,k; +N:=nops(X); + +if N=1 then Coef:=X: +else + Xi:=[seq(X[2*k-1],k=1..N/2)]; + Xp:=[seq(X[2*k],k=1..N/2)]; + U:=TFDIRecur(Xi); + V:=TFDIRecur(Xp); + Omega:=exp(2*I*Pi/N); + Coef:=[seq(U[k]+Omega^(k-1)*V[k],k=1..N/2),seq(U[k]-Omega^(k-1)*V[k],k=1..N/2)]: + end if; +Coef; +end proc:</Text-field><Pagebreak></Pagebreak> +</Input> +</Group> +</Section> +<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title> +<Text-field style="Heading 2" layout="Heading 2"><Font encoding="UTF-8">La m\303\251thode it\303\251rative</Font></Text-field></Title> +<Text-field style="Text" layout="Normal"></Text-field> +<Group labelreference="L25" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">TFDIIter:=proc(x) +local n,i,j,k,a,b,p,l,z,w,h,m,tmp: +n:=nops(x): +l:=Array(1..n): +l:=Array(x): +p:=n/2: + +while p>=1 do + z:=1: +<Font encoding="UTF-8"> w:=exp(I*Pi/p); #C'est la diff\303\251rence +</Font> + for h from 1 to p do + for m from 1 to n/(2*p) do + a:=h+2*(m-1)*p: + b:=a+p: + tmp:=(l[a]-l[b])*z: + l[a]:=l[a]+l[b]: + l[b]:=tmp: + end do: + z:=z*w: + end do: + p:=p/2: +end do: + +j:=1: +for i from 1 to n do + if j>i then tmp:=l[j]: + l[j]:=l[i]: + l[i]:=tmp: + end if: + p:=n/2: + while p>=2 and j>p do + j:=j-p: + p:=p/2: + end do: + j:=j+p: +end do: +for i from 1 to n do + l[i]:=l[i]/n: +end do: +return l; +end proc:</Text-field><Pagebreak></Pagebreak> +</Input> +</Group> +</Section> +</Section> +<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title> +<Text-field style="Heading 1" layout="Heading 1">Mesure du temps de calcul</Text-field></Title> +<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">On va ici s'int\303\251resser \303\240 la mesure du temps n\303\251cessaire pour calculer les coefficients de Fourier (Transform\303\251e Directe) pour n "grand", par exemple n=2^5, n=2^10,... . +Pour cela, on va d\303\251finir la liste de nos coefficients par une m\303\251thode "pseudo-al\303\251atoire" : </Font></Text-field> +<Text-field style="Text" layout="Normal"></Text-field> +<Group labelreference="L7" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">with(RandomTools[MersenneTwister]): +A:=[seq(GenerateFloat(),i=1..2^8)]:</Text-field> +</Input> +</Group> +<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title> +<Text-field style="Heading 2" layout="Heading 2"><Font encoding="UTF-8">M\303\251thode na\303\257ve</Font></Text-field></Title> +<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">On effectue le calcul pour la m\303\251thode na\303\257ve : </Font></Text-field> +<Group labelreference="L8" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">t:=time(): +TFDSimple(A): +Temps := time()-t;</Text-field> +</Input> +<Output> +<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">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</Equation></Text-field> +</Output> +</Group> +</Section> +<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title> +<Text-field style="Heading 2" layout="Heading 2"><Font encoding="UTF-8">M\303\251thode r\303\251cursive</Font></Text-field></Title> +<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Calcul pour la m\303\251thode r\303\251cursive : </Font></Text-field> +<Group labelreference="L9" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">t:=time(): +TFDRecur(A): +Temps := time()-t;</Text-field> +</Input> +<Output> +<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">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</Equation></Text-field> +</Output> +</Group> +</Section> +<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title> +<Text-field style="Heading 2" layout="Heading 2"><Font encoding="UTF-8">M\303\251thode it\303\251rative</Font></Text-field></Title> +<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Mesure pour la m\303\251thode it\303\251rative :</Font></Text-field> +<Group labelreference="L24" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">t:=time(): +TFDIter(A): +Temps:= time()-t;</Text-field> +</Input> +<Output> +<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">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</Equation></Text-field><Pagebreak></Pagebreak> +</Output> +</Group> +</Section> +</Section> +<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title> +<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Multiplication de polyn\303\264mes</Font></Text-field></Title> +<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title> +<Text-field style="Heading 2" layout="Heading 2">Algorithme</Text-field></Title> +<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">On va prendre en entr\303\251e deux listes contenant les coefficients des deux polyn\303\264mes dont on cherche \303\240 calculer le produit.</Font></Text-field> +<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Il faut prendre des pr\303\251cautions, car la proc\303\251dure ne v\303\251rifie pas si les deux polyn\303\264mes sont de m\303\252me degr\303\251, qui doit \303\252tre une puissance de 2, si l'on souhaite utiliser la m\303\251thode r\303\251cursive ou it\303\251rative.</Font></Text-field> +<Group labelreference="L28" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">Multiplication:=proc(P,Q) + +local n,N,R,A,B,i,j,k: + +n:=nops(P): +N:=2*n: + +<Font encoding="UTF-8">#On cr\303\251e la liste des coefficients \303\251tendus \303\240 2n \303\251l\303\251ments. +</Font>A:=[seq(P[k],k=1..n),seq(0,k=n+1..N)]; +B:=[seq(Q[k],k=1..n),seq(0,k=n+1..N)]; + +#On calcule la TFD de chacune de ces listes. +A:=TFDIter(A): +B:=TFDIter(B): + +#On effectue les produits +R:=[seq(A[k]*B[k],k=1..N)]: + +<Font encoding="UTF-8">#On r\303\251cup\303\250re les coefficients. +</Font>TFDIIter(R); + +end proc:</Text-field><Pagebreak></Pagebreak> +</Input> +</Group> +</Section> +<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title> +<Text-field style="Heading 2" layout="Heading 2">Exemple</Text-field></Title> +<Text-field style="Text" layout="Normal">On va poser <Equation executable="false" style="2D Math" input-equation="Typesetting:-mrow(Typesetting:-mi("P"), Typesetting:-mo(":=", form = "infix", fence = "false", separator = "false", lspace = "thickmathspace", rspace = "thickmathspace", stretchy = "false", symmetric = "false", maxsize = "infinity", minsize = "1", largeop = "false", movablelimits = "false", accent = "false", font_style_name = "2D Math", size = "12", foreground = "[0,0,0]", background = "[255,255,255]"), Typesetting:-mrow(Typesetting:-mi(""), Typesetting:-munderover(Typesetting:-mo("\342\210\221", form = "prefix", fence = "false", separator = "false", lspace = "0em", rspace = "thinmathspace", stretchy = "true", symmetric = "false", maxsize = "infinity", minsize = "1", largeop = "true", movablelimits = "true", accent = "false", font_style_name = "2D Math", size = "12", foreground = "[0,0,0]", background = "[255,255,255]"), Typesetting:-mrow(Typesetting:-mi(""), Typesetting:-mi("i"), Typesetting:-mo("=", form = "infix", fence = "false", separator = "false", lspace = "thickmathspace", rspace = "thickmathspace", stretchy = "false", symmetric = "false", maxsize = "infinity", minsize = "1", largeop = "false", movablelimits = "false", accent = "false", font_style_name = "2D Math", size = "12", foreground = "[0,0,0]", background = "[255,255,255]"), Typesetting:-mn("0"), Typesetting:-mi("")), Typesetting:-mn("7"), accent = "false", accentunder = "false"), Typesetting:-mi(""), Typesetting:-msup(Typesetting:-mi("iX"), Typesetting:-mi("i"), superscriptshift = "0"), Typesetting:-mi("")), Typesetting:-mi(""))">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</Equation> et <Equation executable="false" style="2D Math" input-equation="Typesetting:-mrow(Typesetting:-mi("Q"), Typesetting:-mo(":=", form = "infix", fence = "false", separator = "false", lspace = "thickmathspace", rspace = "thickmathspace", stretchy = "false", symmetric = "false", maxsize = "infinity", minsize = "1", largeop = "false", movablelimits = "false", accent = "false", font_style_name = "2D Math", size = "12", foreground = "[0,0,0]", background = "[255,255,255]"), Typesetting:-mrow(Typesetting:-mi(""), Typesetting:-munderover(Typesetting:-mo("\342\210\221", form = "prefix", fence = "false", separator = "false", lspace = "0em", rspace = "thinmathspace", stretchy = "true", symmetric = "false", maxsize = "infinity", minsize = "1", largeop = "true", movablelimits = "true", accent = "false", font_style_name = "2D Math", size = "12", foreground = "[0,0,0]", background = "[255,255,255]"), Typesetting:-mrow(Typesetting:-mi(""), Typesetting:-mi("i"), Typesetting:-mo("=", form = "infix", fence = "false", separator = "false", lspace = "thickmathspace", rspace = "thickmathspace", stretchy = "false", symmetric = "false", maxsize = "infinity", minsize = "1", largeop = "false", movablelimits = "false", accent = "false", font_style_name = "2D Math", size = "12", foreground = "[0,0,0]", background = "[255,255,255]"), Typesetting:-mn("0")), Typesetting:-mn("7"), accent = "false", accentunder = "false"), Typesetting:-mi(""), Typesetting:-msup(Typesetting:-mi("i"), Typesetting:-mi("i"), superscriptshift = "0"), Typesetting:-mi(""), Typesetting:-msup(Typesetting:-mi("X"), Typesetting:-mi("i"), superscriptshift = "0"), Typesetting:-mi("")), Typesetting:-mi(""))">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</Equation> donc<Equation executable="false" style="2D Math" input-equation="Typesetting:-mrow(Typesetting:-mo(" ", form = "infix", fence = "false", separator = "false", lspace = "thickmathspace", rspace = "thickmathspace", stretchy = "false", symmetric = "false", maxsize = "infinity", minsize = "1", largeop = "false", movablelimits = "false", accent = "false", font_style_name = "2D Math", size = "12", foreground = "[0,0,0]", background = "[255,255,255]"), Typesetting:-mi("n"), Typesetting:-mo("=", form = "infix", fence = "false", separator = "false", lspace = "thickmathspace", rspace = "thickmathspace", stretchy = "false", symmetric = "false", maxsize = "infinity", minsize = "1", largeop = "false", movablelimits = "false", accent = "false", font_style_name = "2D Math", size = "12", foreground = "[0,0,0]", background = "[255,255,255]"), Typesetting:-mn("8"), Typesetting:-mo("=", form = "infix", fence = "false", separator = "false", lspace = "thickmathspace", rspace = "thickmathspace", stretchy = "false", symmetric = "false", maxsize = "infinity", minsize = "1", largeop = "false", movablelimits = "false", accent = "false", font_style_name = "2D Math", size = "12", foreground = "[0,0,0]", background = "[255,255,255]"), Typesetting:-msup(Typesetting:-mn("2"), Typesetting:-mn("3."), superscriptshift = "0"), Typesetting:-mi(""))">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</Equation></Text-field> +<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title> +<Text-field style="Heading 3" layout="Heading 3">Algo</Text-field></Title> +<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">On va demander la liste des coefficients du polyn\303\264me R=P*Q. Pour une lecture plus facile, nous en prendrons les valeurs arrondies.</Font></Text-field> +<Group labelreference="L33" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">P:=[seq(i,i=0..7)]:</Text-field> +</Input> +</Group> +<Group labelreference="L34" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">Q:=[seq(i^i,i=0..7)]:</Text-field> +</Input> +</Group> +<Group labelreference="L35" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">R:=evalf(Multiplication(P,Q)):</Text-field> +</Input> +</Group> +<Group labelreference="L38" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">[seq(R[j],j=1..2*nops(P))];</Text-field> +</Input> +<Output> +<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">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</Equation></Text-field> +</Output> +</Group> +<Group labelreference="L63" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">R:=[seq(round(R[j]),j=1..2*nops(P))];</Text-field> +</Input> +<Output> +<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">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</Equation></Text-field> +</Output> +</Group> +</Section> +<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title> +<Text-field style="Heading 3" layout="Heading 3">Maple</Text-field></Title> +<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">On va evaluer le polyn\303\264me P*Q :</Font></Text-field> +<Group labelreference="L39" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">P:=sum(i*X^i,i=0..7):</Text-field> +</Input> +</Group> +<Group labelreference="L42" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">Q:=sum(i^i*X^i,i=0..7):</Text-field> +</Input> +</Group> +<Group labelreference="L46" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal">sort(expand(P*Q),X,ascending);</Text-field> +</Input> +<Output> +<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">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</Equation></Text-field> +</Output> +</Group> +<Group labelreference="L57" drawlabel="true"> +<Input> +<Text-field prompt="> " style="Maple Input" layout="Normal"></Text-field> +</Input> +</Group> +</Section> +</Section> +</Section> +</Worksheet>
\ No newline at end of file diff --git a/TIPE_2007/Octave/Multiplication.m b/TIPE_2007/Octave/Multiplication.m new file mode 100644 index 0000000..eb53abc --- /dev/null +++ b/TIPE_2007/Octave/Multiplication.m @@ -0,0 +1,22 @@ +function[R]=Multiplication(P,Q) + +n=length(P); +N=2*n; +A=zeros(1,N); +B=zeros(1,N); +R=zeros(1,N); + +for i=1:n + A(i)=P(i); + B(i)=Q(i); +end + +%On calcule les transformées de chaque élément. +A=TFDB(A); +B=TFDB(B); +%On effectue les produits +for i=1:N + R(i)=A(i)*B(i); +end +R=TFDIB(R); +endfunction diff --git a/TIPE_2007/Octave/TFD - Octave.tar.bz2 b/TIPE_2007/Octave/TFD - Octave.tar.bz2 Binary files differnew file mode 100644 index 0000000..6ac824f --- /dev/null +++ b/TIPE_2007/Octave/TFD - Octave.tar.bz2 diff --git a/TIPE_2007/Octave/TFD - Octave.zip b/TIPE_2007/Octave/TFD - Octave.zip Binary files differnew file mode 100644 index 0000000..e540144 --- /dev/null +++ b/TIPE_2007/Octave/TFD - Octave.zip diff --git a/TIPE_2007/Octave/TFDI - Octave.tar.bz2 b/TIPE_2007/Octave/TFDI - Octave.tar.bz2 Binary files differnew file mode 100644 index 0000000..696a8a1 --- /dev/null +++ b/TIPE_2007/Octave/TFDI - Octave.tar.bz2 diff --git a/TIPE_2007/Octave/TFDI - Octave.zip b/TIPE_2007/Octave/TFDI - Octave.zip Binary files differnew file mode 100644 index 0000000..537115d --- /dev/null +++ b/TIPE_2007/Octave/TFDI - Octave.zip diff --git a/TIPE_2007/index.html b/TIPE_2007/index.html new file mode 100644 index 0000000..48eeee2 --- /dev/null +++ b/TIPE_2007/index.html @@ -0,0 +1,110 @@ +<?xml version="1.0" encoding="UTF-8"?> +<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> +<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="fr" lang="fr"> +<head> +<title>Algorithmes de calculs de TFD : Sources et programmes</title> +<meta name="author" content="Audric SCHILTKNECHT" /> +<meta name="date" content="2009-09-09T17:25:42-0400" /> +<meta name="copyright" content="GPL, Creative Commons, CC, By, Sa" /> +<meta name="keywords" content="FFT, TFD, Fourier, TIPE" /> +<meta name="description" + content="Les sources des algorithmes de calculs de TFD et FFT" /> +<meta name="ROBOTS" content="NOINDEX, NOFOLLOW" /> +<meta http-equiv="content-type" content="text/html; charset=UTF-8" /> +<meta http-equiv="content-type" + content="application/xhtml+xml; charset=UTF-8" /> +<meta http-equiv="content-style-type" content="text/css" /> +<meta http-equiv="expires" content="0" /> +<link type="text/css" href="../styles/simpleelegance03/style.css" + rel="stylesheet" /> +</head> +<body> +<div id="header">Audric Schiltknecht</div> +<ul id="navtop"> + <li><a href="../index.html">Accueil</a></li> + <li><a href="../cv.html">CV</a></li> + <li><a href="../projets.html">Projets</a></li> + <li id="current"><a href="../TIPE_2007/index.html">TIPE 2007</a></li> +</ul> + +<div id="maincontainer"> + <div id="contentwrapper"> + <div id="contentcolumn"> + <h1>TIPE 2007</h1> + <div class="hr"><hr/></div> + <p>Voici mes réalisations effectuées pour le TIPE que j'ai réalisé lors de ma + seconde année de classes préparatoires. Le thème était <em>Le Temps</em>, j'ai pris + comme sujet <em>La Transformée de Fourrier</em>. + </p> + <h3>Programme Maple :</h3> + <p> + Télécharger le fichier : <a href="Maple/TFD.mw" title="Fichier Maple">TFD.mw</a> + <br/> + (Faire "clique-droit/Enregistrer sous" car sinon, cela l'ouvre dans le + navigateur) + </p> + + <h3>Sources Octave :</h3> + <ul> + <li>Télécharger une archive contenant tous les fichiers concernant + la Transformée Directe : + <ul> + <li><a href="Octave/TFD - Octave.zip" + title="Fichier Octave - Format Zip">Format zip</a></li> + <li><a + href="Octave/TFD - Octave.tar.bz2" + title="Fichier Octave - Format tar.bz2">Format tar.bz2</a></li> + </ul> + </li> + <li>Télécharger une archive contenant tous les fichiers concernant + la Transformée Inverse : + <ul> + <li><a href="Octave/TFDI - Octave.zip" + title="Fichier Octave - Format Zip">Format zip</a></li> + <li><a href="Octave/TFDI - Octave.tar.bz2" + title="Fichier Octave - Format tar.bz2">Format tar.bz2</a></li> + </ul> + </li> + <li>Source de l'algorithme de Multiplication de polynômes + (Nécessite la présence des deux archives précédentes, extraites dans le + même dossier) : <a href="Octave/Multiplication.m" + title="Fichier Octave - Multiplication.m">Multiplication.m</a> + </li></ul> + + <h3>Sources C++ :</h3> + <p>Le programme ne peut s'éxecuter que sur un système GNU/Linux. + <br/> + Archive contenant les sources : <a href="C/TFD - C.zip" + title="Fichier C - Format Zip">Format zip</a> - <a + href="C/TFD - C.tar.bz2" title="Fichier C - Format tar.bz2">Format tar.bz2</a> + </p> + + <h3>Le dossier :</h3> + <ul class="list"> + <li>Télécharger le <a href="Dossier/Dossier_TIPE_2007_TF.pdf" + title="Dossier TIPE">Dossier TIPE</a> (Format PDF)</li> + <li>Télécharger les <a + href="Dossier/Transparents_TIPE_2007_TF.pdf" title="Transparents">transparents + de présentation</a> (Format PDF)</li> + </ul> + </div> + </div> + + <div id="footer"> + <p> + <a href="http://validator.w3.org/check?uri=referer"> + Page valide XHTML 1.0 Strict + </a> + + <a href="http://jigsaw.w3.org/css-validator/check/referer"> + CSS Valide + </a> + + Contenu disponible sous <a rel="license" href="http://creativecommons.org/licenses/GPL/2.0/">CC-GPL</a> + <br /> + Design by <a href="http://www.wfiedler-online.de/index.php">wfiedler</a> + </p> + </div> +</div> +</body> +</html> diff --git a/TIPE_2007/index.html.plain b/TIPE_2007/index.html.plain new file mode 100644 index 0000000..56da487 --- /dev/null +++ b/TIPE_2007/index.html.plain @@ -0,0 +1,73 @@ +<?xml version="1.0" encoding="UTF-8"?> +<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> +<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="fr" lang="fr"> +<head> +<title>Algorithmes de calculs de TFD : Sources et programmes</title> + <meta name="generator" content="VIm"/> + <meta name="author" content="Audric SCHILTKNECHT"/> + <meta name="date" content="2007-08-10T17:39:30+0200"/> + <meta name="copyright" content="GPL, Creative Commons, CC, By, Sa"/> + <meta name="keywords" content="FFT, TFD, Fourier, TIPE"/> + <meta name="description" content="Les sources des algorithmes de calculs de TFD et FFT"/> + <meta name="ROBOTS" content="NOINDEX, NOFOLLOW"/> + <meta http-equiv="content-type" content="text/html; charset=UTF-8"/> + <meta http-equiv="content-type" content="application/xhtml+xml; charset=UTF-8"/> + <meta http-equiv="content-style-type" content="text/css"/> + <meta http-equiv="expires" content="0"/> +<!-- +<style type="text/css"> +h1,h2 +{ + text-align: center; +} +.footer +{ + position:absolute; + right: 50%; +} +</style> +--> +</head> +<body> +<h1>Algorithmes de calculs de Transformée de Fourier</h1> +<h3>Programme Maple : </h3> +<p> +Télécharger le fichier : <a href="Maple/TFD.mw" title="Fichier Maple">TFD.mw</a> +<br/>(Faire "clique-droit/Enregistrer sous" car sinon, cela l'ouvre dans le navigateur) +</p> +<h3>Sources Octave : </h3> +<ul> +<li>Télécharger une archive contenant tous les fichiers concernant la Transformée Directe : +<a href="Octave/TFD - Octave.zip" title="Fichier Octave - Format Zip">Format zip</a> + - <a href="Octave/TFD - Octave.tar.bz2" title="Fichier Octave - Format tar.bz2">Format tar.bz2</a></li> + <li>Télécharger une archive contenant tous les fichiers concernant la Transformée Inverse : + <a href="Octave/TFDI - Octave.zip" title="Fichier Octave - Format Zip">Format zip</a> + - <a href="Octave/TFDI - Octave.tar.bz2" title="Fichier Octave - Format tar.bz2">Format tar.bz2</a></li> +<li>Source de l'algorithme de Multiplication de polynômes (Nécessite la présence des deux archives précédentes, extraites dans le même dossier) : + <a href="Octave/Multiplication.m" title="Fichier Octave - Multiplication.m">Multiplication.m</a></li> +</ul> + +<h3>Sources C++ : (Sous licence GNU/GPL)</h3> +<p>Le programme ne peut s'éxecuter que sur un système GNU/Linux.</p> +<ul> +<li>Archive contenant les sources : <a href="C/TFD - C.zip" title="Fichier C - Format Zip">Format zip</a> + - <a href="C/TFD - C.tar.bz2" title="Fichier C - Format tar.bz2">Format tar.bz2</a></li> +</ul> + +<h3>Le dossier : (Sous licence <a rel="license" title="Licence Creative Commons" href="http://creativecommons.org/licenses/by-sa/2.0/fr/">Creative Commons</a>)</h3> +<ul> +<li>Télécharger le <a href="Dossier/Dossier_TIPE_2007_TF.pdf" title="Dossier TIPE">Dossier TIPE</a> (Format PDF)</li> +<li>Télécharger les <a href="Dossier/Transparents_TIPE_2007_TF.pdf" title="Transparents">transparents de présentation</a> (Format PDF)</li> +</ul> + +<p class="footer"> +<a href="http://validator.w3.org/check?uri=referer"><img + src="http://www.w3.org/Icons/valid-xhtml10" + alt="Valid XHTML 1.0 Strict" height="31" width="88" /></a> +<a rel="license" href="http://creativecommons.org/licenses/by-sa/2.0/fr/"> +<img alt="Creative Commons License" style="border-width:0" src="http://i.creativecommons.org/l/by-sa/2.0/fr/80x15.png" /> +</a> +</p> + +</body> +</html> @@ -0,0 +1,166 @@ +<?xml version="1.0" encoding="UTF-8"?> +<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> +<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="fr" lang="fr"> +<head> +<title>Bienvenue sur la page de Audric Schiltknecht - CV</title> +<meta name="author" content="Audric SCHILTKNECHT" /> +<meta name="date" content="2009-09-09T17:25:42-0400" /> +<meta name="copyright" content="GPL, Creative Commons, CC, By, Sa" /> +<meta name="keywords" content="Audric, CV" /> +<meta name="description" content="Mon CV" /> +<meta name="ROBOTS" content="NOINDEX, NOFOLLOW" /> +<meta http-equiv="content-type" content="text/html; charset=UTF-8" /> +<meta http-equiv="content-type" content="application/xhtml+xml; charset=UTF-8" /> +<meta http-equiv="content-style-type" content="text/css" /> +<meta http-equiv="expires" content="0" /> +<link type="text/css" href="styles/simpleelegance03/style.css" rel="stylesheet" /> +<link type="text/css" href="styles/cv.css" rel="stylesheet" /> +</head> +<body> +<div id="header">Audric Schiltknecht</div> +<ul id="navtop"> + <li><a href="index.html">Accueil</a></li> + <li id="current"><a href="cv.html">CV</a></li> + <li><a href="projets.html">Projets</a></li> + <li><a href="TIPE_2007/index.html">TIPE 2007</a></li> +</ul> + +<div id="maincontainer"> + <div id="contentwrapper"> + <div id="contentcolumn"> + <h1>Curriculum Vitæ</h1> + <h5>Versions PDF disponibles ici : <a href="CV/CV_1P.pdf">court</a> (1 page) et <a href="CV/CV_2P.pdf">long</a>.</h5> + <div class="hr"><hr/></div> + + <div id="profil"> + <h2>Audric Schiltknecht</h2> + <h3>Né le 13 Octobre 1987</h3> + <h4>Toulon, France</h4> + <br /> + <h2>Élève Ingénieur Informatique - ENSEEIHT</h2> + </div> + + <h2>Formation</h2> + <hr/> + <h3>2007 - 2010</h3> + <h3>École Nationale Supérieure D'Électrotechnique, D'Électronique, D'Informatique, D'Hydraulique et des Télécommunications</h3> + <h4><a href="http://www.enseeiht.fr">ENSEEIHT</a></h4> + <h5>Toulouse, France</h5> + <p> + Ingénieur en informatique et mathématiques appliquées, spécialité <em>informatique</em>. <br /> + Étude des systèmes et langages informatiques, réseaux informatiques, mathématiques. <br /> + Étudiant de 3<sup>ème</sup> année. + </p> + + <h3>2009 (Septembre - Décembre)</h3> + <h3>Université de Montréal</h3> + <h4><a href="http://www.umontreal.ca">UdeM</a></h4> + <h5>Montréal, Canada</h5> + <p> + Semestre d'échange au <a href="http://www.iro.umontreal.ca/">département informatique</a>. + </p> + + <h3>2005-2007</h3> + <h3>Classes préparatoires</h3> + <h4>Lycée Dumont D'Urville</h4> + <h5>Toulon, France</h5> + <p>Fillière MPSI/MP</p> + + <h3>2007</h3> + <h3>Baccalauréat, Série Scientifique</h3> + <h4>Lycée Bonaparte</h4> + <h5>Toulon, France</h5> + <p>Mention <em>Très Bien</em></p> + + <h2>Compétences</h2> + <hr/> + <ul> + <li>Développement logiciel : JavaSE/JavaEE, C/C++, Perl, Prolog</li> + <li>Génie logiciel : UML, Eclipse, Ant, Make, <acronym title="Version Control System">VCS</acronym> (SVN)</li> + <li>Technologies de l'Internet : XML (DTD, schéma, XPath, XSLT), XHTML, CSS, JavaScript, PHP</li> + <li>Bibliothèques logicielles : + <ul> + <li> Java : JUnit, Javassist, Hibernate, Swing, JSF, OpenFaces.</li> + <li> C++ : CPPUnit, STL, Gtkmm</li> + </ul> + </li> + <li>Systèmes d'exploitation : + <ul> + <li>GNU/LINUX (Debian, Ubuntu) : Utilisation/Administration</li> + <li>UNIX (OpenBSD) : Utilisation/Administration</li> + <li>Windows</li> + </ul> + </li> + <li>Architecture réseaux, systèmes</li> + </ul> + + <h2>Stages</h2> + <hr/> + <h3>Été 2009 : 6 semaines</h3> + <h3><a href="http://www.enseeiht.fr">ENSEEIHT</a></h3> + <h5>Toulouse, France</h5> + <p> + Travail sur un générateur de compilateurs réalisé par un professeur de l'école, et utilisé + durant le cours de <em>Traduction des Langages et Compilation</em> : ajout du typage au compilateur. + <br/> + Intégration des modifications dans le plugin pour l'intégration dans l' + <acronym title="Integrated Development Environment">IDE</acronym> Eclipse. + </p> + + <h3>Été 2008 : 4 semaines</h3> + <h3><a href="http://www.fondation-auteuil.org/">Fondation d'Auteuil</a> - Direction régionale</h3> + <h5>Marseille, France</h5> + <p> + Mise en place de blogs pour la réalisation d'un journal interne pour la région + <br/> + Réalisation d'un ensemble de macro <em>Visual Basic</em> pour la gestion d'une base de donnée + d'entreprises (5 000 entrées) servant à la prospection et au suivi commercial. + </p> + + <h2>Langues</h2> + <hr/> + <ul> + <li>Anglais : Bon niveau (lu, écrit, parlé). Score au + <acronym title="Test Of English for International Communication">TOEIC</acronym> (en Juin 2009) : 955/990. + </li> + <li>Espagnol : Niveau scolaire</li> + </ul> + + <h2>Loisirs</h2> + <hr/> + <ul> + <li>Membre actif du club informatique de l'ENSEEIHT + (<a href="http://www.bde.enseeiht.fr/clubs/net7">Net7</a>), ainsi que du club informatique de l'INP-Toulouse + (<a href="http://www.bde.inp-toulouse.fr/clubs/inp-net">INP-net</a>) : + <ul> + <li>Gestion du réseau des étudiants (1 500 étudiants) : gestion des inscriptions à l'association étudiante, maintenance du fichier des cotisants</li> + <li>Formations : utilisation de GNU/Linux, langages informatiques (xHTML, PHP, LaTeX, etc)</li> + <li>Dépannages</li> + </ul> + </li> + <li>Plongée : Niveau 2 <acronym title="Fédération française d'études et de sports sous-marins">FFESSM</acronym>, + 2* <acronym title="Confédération mondiale des activités subaquatiques">CMAS</acronym></li> + <li>Notions de japonais (apprentissage durant mes deux années à l'ENSEEIHT)</li> + </ul> + + <div id="footer"> + <p> + <a href="http://validator.w3.org/check?uri=referer"> + Page valide XHTML 1.0 Strict + </a> + + <a href="http://jigsaw.w3.org/css-validator/check/referer"> + CSS Valide + </a> + + Contenu disponible sous <a rel="license" href="http://creativecommons.org/licenses/GPL/2.0/">CC-GPL</a> + <br /> + Design by <a href="http://www.wfiedler-online.de/index.php">wfiedler</a> + </p> + </div> + + </div> +</div> +</div> +</body> +</html> diff --git a/index.html b/index.html new file mode 100644 index 0000000..47d18aa --- /dev/null +++ b/index.html @@ -0,0 +1,61 @@ +<?xml version="1.0" encoding="UTF-8"?> +<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> +<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="fr" lang="fr"> +<head> +<title>Bienvenue sur la page de Audric Schiltknecht</title> +<meta name="author" content="Audric SCHILTKNECHT" /> +<meta name="date" content="2009-09-09T17:25:42-0400" /> +<meta name="copyright" content="GPL, Creative Commons, CC, By, Sa" /> +<meta name="keywords" content="Audric, Storm" /> +<meta name="description" + content="HomePage" /> +<meta name="ROBOTS" content="NOINDEX, NOFOLLOW" /> +<meta http-equiv="content-type" content="text/html; charset=UTF-8" /> +<meta http-equiv="content-type" + content="application/xhtml+xml; charset=UTF-8" /> +<meta http-equiv="content-style-type" content="text/css" /> +<meta http-equiv="expires" content="0" /> +<link type="text/css" href="styles/simpleelegance03/style.css" + rel="stylesheet" /> +</head> +<body> +<div id="header">Audric Schiltknecht</div> +<ul id="navtop"> + <li id="current"><a href="index.html">Accueil</a></li> + <li><a href="cv.html">CV</a></li> + <li><a href="projets.html">Projets</a></li> + <li><a href="TIPE_2007/index.html">TIPE 2007</a></li> +</ul> + +<div id="maincontainer"> + <div id="contentwrapper"> + <div id="contentcolumn"> + <h1>Bienvenue sur mon site personnel</h1> + <div class="hr"><hr/></div> + + <p>Ce site contient diverses informations me concernant : CV, projets + réalisés au cours de ma scolarité.</p> + <p>Bonne navigation !</p> + + + <div id="footer"> + <p> + <a href="http://validator.w3.org/check?uri=referer"> + Page valide XHTML 1.0 Strict + </a> + + <a href="http://jigsaw.w3.org/css-validator/check/referer"> + CSS Valide + </a> + + Contenu disponible sous <a rel="license" href="http://creativecommons.org/licenses/GPL/2.0/">CC-GPL</a> + <br /> + Design by <a href="http://www.wfiedler-online.de/index.php">wfiedler</a> + </p> + </div> + + </div> +</div> +</div> +</body> +</html> diff --git a/projets.html b/projets.html new file mode 100644 index 0000000..2cba691 --- /dev/null +++ b/projets.html @@ -0,0 +1,215 @@ +<?xml version="1.0" encoding="UTF-8"?> +<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> +<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="fr" lang="fr"> +<head> +<title>Bienvenue sur la page de Audric Schiltknecht - Projets</title> +<meta name="author" content="Audric SCHILTKNECHT" /> +<meta name="date" content="2009-09-17T15:12:42-0400" /> +<meta name="copyright" content="GPL, Creative Commons, CC, By, Sa" /> +<meta name="keywords" content="Audric, Storm, Projets" /> +<meta name="description" content="Projets realises durant ma scolarite" /> +<meta name="ROBOTS" content="NOINDEX, NOFOLLOW" /> +<meta http-equiv="content-type" content="text/html; charset=UTF-8" /> +<meta http-equiv="content-type" content="application/xhtml+xml; charset=UTF-8" /> +<meta http-equiv="content-style-type" content="text/css" /> +<meta http-equiv="expires" content="0" /> +<link type="text/css" href="styles/simpleelegance03/style.css" rel="stylesheet" /> +<link type="text/css" href="styles/projets.css" rel="stylesheet" /> +</head> +<body> +<div id="header">Audric Schiltknecht</div> +<ul id="navtop"> + <li><a href="index.html">Accueil</a></li> + <li><a href="cv.html">CV</a></li> + <li id="current"><a href="projets.html">Projets</a></li> + <li><a href="TIPE_2007/index.html">TIPE 2007</a></li> +</ul> + +<div id="maincontainer"> + <div id="contentwrapper"> + <div id="contentcolumn"> + <h1>Projets réalisés</h1> + <div class="hr"><hr/></div> + + <p>Voici un ensemble des projets réalisés au cours de mes 3 années à l'ENSEEIHT, ainsi que mes projets personnels.</p> + + <ul> + <li><a href="#perso">Projets personnels</a></li> + <li><a href="#scolaire">Projets réalisés au cours de ma scolarité</a></li> + </ul> + + <h2 id="perso">Projets personnels</h2> + <hr /> + <h3>Animation d'un système de particules</h3> + <h4>C++</h4> + <p> + Ayant apprécié le projet de modélisation d'un <a href="#particules">système de particules</a>, + j'ai décidé pour améliorer mon expérience en programmation, de porter ce projet en C++. + Je n'ai cependant pas souhaité l'améliorer au niveau du moteur physique, mais plutôt me pencher + sur la ré-écriture du code noyau dans un paradigme orienté objet. Pratiquant régulièrement le Java à l'école, + j'ai voulu me pencher plus sérieusement sur cet autre langage qu'est le C++, pour en améliorer mon utilisation. + <br /> + Vous pouvez vous rendre sur la <a href="http://partycle.n7mm.org">page dédiée</a> à ce projet. + </p> + + + <h2 id="scolaire">2<sup>ème</sup> année</h2> + <hr /> + + <h3>Site de <i>e-commerce</i></h3> + <h4>Java EE</h4> + <h5>Mai - Juin 2009</h5> + <p> + Mise en place d'un site internet commerçant en utilisant la technologie <acronym title="Java Enterprise Edition">JavaEE</acronym> : + réalisation d'un site de vente aux enchères. + <br /> + <acronym title="Enterprise JavaBeans">EJB</acronym>3, serveur d'applications <a href="http://www.jboss.org/">JBoss</a>, + librairies <acronym title="Java Server Faces">JSF</acronym> : + <a href="https://javaserverfaces.dev.java.net/">Project Mojorra</a>, librairies additionnelles <a href="http://openfaces.org/">OpenFaces</a>. + </p> + <ul class="list"> + <li>Le rapport est disponible <a href="Projets/2A/Rapport-eBide.pdf">ici</a>.</li> + <li>Les slides de la présentation sont disponibles <a href="Projets/2A/Slides-eBide.pdf">ici</a>.</li> + <li>Les sources sont disponibles <a href="Projets/2A/eBide.tar.gz">ici</a>.</li> + </ul> + + <h3>Compilateur µ-Java</h3> + <h4>EGG/Java</h4> + <h5>Mai - Juin 2009</h5> + <p> + Création d'un compilateur pour un sous ensemble de Java, µ-Java : gestion des classes, de l'héritage, surcharge de méthodes. + <br /> + Utilisation du générateur de compilateur <acronym title="Extended Generator Generator">EGG</acronym>, réalisé à l'ENSEEIHT. + </p> + <ul class="list"> + <li>Le rapport est disponible <a href="Projets/2A/Rapport-uJava.pdf">ici</a>.</li> + <li>Les sources sont disponibles <a href="Projets/2A/MJC.tar.gz">ici</a>.</li> + </ul> + + <h3>UART</h3> + <h4>VHDL</h4> + <h5>Avril - Mai 2009</h5> + <p> + Développement d'une unité d'émission/réception (<acronym title="Universal Asynchronous Receiver Transmitter">UART</acronym>) + en <acronym title="VHSIC Hardware Description Language">VHDL</acronym>. + Simulation sur <acronym title="Field-Programmable Gate Array">FPGA</acronym>. + </p> + <ul class="list"> + <li>Les sources sont disponibles <a href="Projets/2A/VHDL.tar.bz2">ici</a>.</li> + </ul> + + + <h3>Objets dupliqués</h3> + <h4>Java</h4> + <h5>Mars - Avril 2009</h5> + <p> + Mise en œuvre d'un service de partage d'objets répartis et dupliqués : gestions des accès concurrents, + cohérences des objets, génération de <em>stubs</em>. + <br /> + Réalisation au dessus de la couche <acronym title="Remote Method Invocation">RMI</acronym> de Java. + Utilisation de l'introspection pour la réalisation des stubs. + Utilisation de <em>Javassist</em> pour la création dynamique de classes. + </p> + <ul class="list"> + <li>Le rapport est disponible <a href="Projets/2A/Rapport-Intergiciel.pdf">ici</a>.</li> + <li>Les sources sont disponibles <a href="Projets/2A/Intergiciel.jar">ici</a>.</li> + </ul> + + <h2>1<sup>ère</sup> année</h2> + <hr /> + + <h3>Simulateur de diagrammes d'état UML</h3> + <h4>Java</h4> + <h5>Mai - Juin 2008</h5> + <p> + Projet en groupe assigné visant à réaliser un simulateur de diagramme d'états <acronym title="Unified Modeling Language">UML</acronym> : + visualisation des états, franchissement des transitions, possibilité de modifier l'environnement en direct. + <br /> + Interface utilisateur en Swing. + </p> + <ul class="list"> + <li>Le rapport est disponible <a href="Projets/1A/Rapport-UML.pdf">ici</a>.</li> + <li>Les sources sont disponibles <a href="Projets/1A/UML.jar">ici</a>.</li> + </ul> + + <h3>Jeu des Allumettes</h3> + <h4>Java</h4> + <h5>Avril 2008</h5> + <p> + Projet de programmation orientée objets : jeu des 13 allumettes. + <br /> + Développement à partir d'un diagramme des classes <acronym title="Unified Modeling Language">UML</acronym>, tests unitaires avec JUnit + </p> + <ul class="list"> + <li>Les sources sont disponibles <a href="Projets/1A/Allumettes.jar">ici</a>.</li> + </ul> + + <h3>Processeur CRAPS</h3> + <h4>SHDL</h4> + <h5>Mars - Juin 2008</h5> + <p> + Réalisation d'un processeur de type <acronym title="Reduced Instruction Set Computer">RISC</acronym> + basé sur un jeu d'instruction SPARC et implémentation en <a href="http://diabeto.enseeiht.fr/download/shdl">SHDL</a> + (langage de description matérielle, developpé à l'ENSEEIHT) sur <acronym title="Field-Programmable Gate Array">FPGA</acronym>. + </p> + + + <h3 id="particules">Simulation de particules</h3> + <h4>C</h4> + <h5>Mars - Avril 2008</h5> + <p> + Projet visant à réaliser une simulation de particules, avec contraintes + (position fixe, espacement entre deux particules, ressorts, etc). + <br /> + Gestion du fichier de description du système, interface utilisateur en GTK+. + </p> + <ul class="list"> + <li>Le rapport est disponible <a href="Projets/1A/Rapport-Particules.pdf">ici</a>.</li> + <li>Les sources sont disponibles <a href="Projets/1A/Particules.tar.gz">ici</a>.</li> + </ul> + + <h3>Machine Enigma</h3> + <h4>C</h4> + <h5>Janvier 2008</h5> + <p> + Projet de programmation impérative pour la réalisation d'une machine + <a href="http://fr.wikipedia.org/wiki/Enigma_%28machine%29">Enigma</a>. + </p> + <ul class="list"> + <li>Le rapport est disponible <a href="Projets/1A/Rapport-Enigma.pdf">ici</a>.</li> + </ul> + + + <h3>Compression de Huffman</h3> + <h4>Caml</h4> + <h5>Novembre - Décembre 2007</h5> + <p> + Projet de programmation fonctionnelle, dont le but est de réaliser une compression + de <a href="http://fr.wikipedia.org/wiki/Codage_de_Huffman">Huffman</a> + </p> + <ul class="list"> + <li>Le rapport est disponible <a href="Projets/1A/Rapport-Huffman.pdf">ici</a>.</li> + </ul> + + + <div id="footer"> + <p> + <a href="http://validator.w3.org/check?uri=referer"> + Page valide XHTML 1.0 Strict + </a> + + <a href="http://jigsaw.w3.org/css-validator/check/referer"> + CSS Valide + </a> + + Contenu disponible sous <a rel="license" href="http://creativecommons.org/licenses/GPL/2.0/">CC-GPL</a> + <br /> + Design by <a href="http://www.wfiedler-online.de/index.php">wfiedler</a> + </p> + </div> + + </div> +</div> +</div> +</body> +</html> diff --git a/styles/cv.css b/styles/cv.css new file mode 100644 index 0000000..2a054e0 --- /dev/null +++ b/styles/cv.css @@ -0,0 +1,26 @@ +#profil { + text-align: center; +} + +#profil h2 { + font-size: 1.5em; + margin-top: 0; +} + +#profil h3 { + font-size: 1.2em; +} + +h2 { + font-size: 2em; + margin-top: 40px; + margin-bottom: 10px; +} + +p+h3 { + margin-top: 30px; +} + +h5+p { + margin-top: 5px; +}
\ No newline at end of file diff --git a/styles/projets.css b/styles/projets.css new file mode 100644 index 0000000..01249a8 --- /dev/null +++ b/styles/projets.css @@ -0,0 +1,17 @@ +h2 { + font-size: 1.5em; + margin-top: 40px; + margin-bottom: 10px; +} + +h3 { + margin-top: 40px; +} + +hr+h3 { + margin-top: 0; +} + +h5+p { + margin-top: 5px; +}
\ No newline at end of file diff --git a/styles/simpleelegance03/images/button.gif b/styles/simpleelegance03/images/button.gif Binary files differnew file mode 100644 index 0000000..288a85c --- /dev/null +++ b/styles/simpleelegance03/images/button.gif diff --git a/styles/simpleelegance03/images/colors.gif b/styles/simpleelegance03/images/colors.gif Binary files differnew file mode 100644 index 0000000..a1da25b --- /dev/null +++ b/styles/simpleelegance03/images/colors.gif diff --git a/styles/simpleelegance03/images/hr.gif b/styles/simpleelegance03/images/hr.gif Binary files differnew file mode 100644 index 0000000..e63adf9 --- /dev/null +++ b/styles/simpleelegance03/images/hr.gif diff --git a/styles/simpleelegance03/images/image.gif b/styles/simpleelegance03/images/image.gif Binary files differnew file mode 100644 index 0000000..6f120ff --- /dev/null +++ b/styles/simpleelegance03/images/image.gif diff --git a/styles/simpleelegance03/images/link.gif b/styles/simpleelegance03/images/link.gif Binary files differnew file mode 100644 index 0000000..76130db --- /dev/null +++ b/styles/simpleelegance03/images/link.gif diff --git a/styles/simpleelegance03/images/list.gif b/styles/simpleelegance03/images/list.gif Binary files differnew file mode 100644 index 0000000..5f9782e --- /dev/null +++ b/styles/simpleelegance03/images/list.gif diff --git a/styles/simpleelegance03/images/more.gif b/styles/simpleelegance03/images/more.gif Binary files differnew file mode 100644 index 0000000..4ddb1d4 --- /dev/null +++ b/styles/simpleelegance03/images/more.gif diff --git a/styles/simpleelegance03/index.html b/styles/simpleelegance03/index.html new file mode 100644 index 0000000..d59cf35 --- /dev/null +++ b/styles/simpleelegance03/index.html @@ -0,0 +1,100 @@ +<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> +<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en"> +<head> +<title>Simple Elegance 03</title> +<meta http-equiv="Content-type" content="text/html; charset=UTF-8" /> +<link rel="stylesheet" href="style.css" type="text/css" media="screen" /> +</head> +<body> +<a name="top"></a> +<div id="header">Simple Elegance 03</div> +<ul id="navtop"> + <li><a href="http://www.free-css.com/">Home</a></li> + <li><a href="http://www.free-css.com/">Hyperlink</a></li> + <li><a href="http://www.free-css.com/">Hyperlink</a></li> + <li><a href="http://www.free-css.com/">Hyperlink</a></li> + <li><a href="http://www.free-css.com/">Hyperlink</a></li> +</ul> +<div id="maincontainer"> + <div id="contentwrapper"> + <div id="contentcolumn"> + <h1>Headline (h1, h2, h3)</h1> + <img class="imgleft" src="images/image.gif" width="112" height="112" alt="" /> Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Curabitur massa. Nullam enim arcu, adipiscing id, porta eget, consequat ut, lacus. Aliquam nibh. Etiam tortor ligula, facilisis sed, mattis sit amet, faucibus ut, turpis. In risus ipsum, pharetra eu, placerat id, mollis quis, justo. Mauris sollicitudin tincidunt justo. Sed suscipit tristique nulla. Suspendisse sit amet massa. + <p> <img src="images/more.gif" width="9" height="9" alt="Read more!" /> <a href="http://www.free-css.com/">Read more...</a> </p> + <p> <img class="imgright" src="images/image.gif" width="112" height="112" alt="" /> Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Curabitur massa. Nullam enim arcu, adipiscing id, porta eget, consequat ut, lacus. Aliquam nibh. Etiam tortor ligula, facilisis sed, mattis sit amet, faucibus ut, turpis. In risus ipsum, pharetra eu, placerat id, mollis quis, justo. Mauris sollicitudin tincidunt justo. Sed suscipit tristique nulla. Suspendisse sit amet massa. </p> + <div class="hr"> + <hr /> + </div> + <h4>Gallery (h4, h5, h6)</h4> + Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Curabitur massa. Nullam enim arcu, adipiscing id, porta eget, consequat ut, lacus. Aliquam nibh. Etiam tortor ligula, facilisis sed, mattis sit amet, faucibus ut, turpis. In risus ipsum, pharetra eu, placerat id, mollis quis, justo. Mauris sollicitudin tincidunt justo. Sed suscipit tristique nulla. Suspendisse sit amet massa. + <p> <a href="http://www.free-css.com/"><img class="gallery" src="images/image.gif" width="112" height="112" alt="" /></a> <a href="http://www.free-css.com/"><img class="gallery" src="images/image.gif" width="112" height="112" alt="" /></a> <a href="http://www.free-css.com/"><img class="gallery" src="images/image.gif" width="112" height="112" alt="" /></a> <a href="http://www.free-css.com/"><img class="gallery" src="images/image.gif" width="112" height="112" alt="" /></a> <a href="http://www.free-css.com/"><img class="gallery_right_img" src="images/image.gif" width="112" height="112" alt="" /></a> </p> + <div class="hr"> + <hr /> + </div> + <h4>List</h4> + <ul id="list"> + <li>Item one</li> + <li>Item two</li> + <li>Item three</li> + <li>Item four</li> + <li>Item five</li> + </ul> + <h4>Color Scheme</h4> + <p> <img src="images/colors.gif" width="300" height="100" alt="Colors" /> </p> + <div class="hr"> + <hr /> + </div> + <h4>Form</h4> + <form id="myform" class="form" action="#"> + <p> + <label for="user">Name</label> + <input class="input" type="text" id="user" value="" /> + </p> + <p> + <label for="email">E-mail:</label> + <input class="input" type="text" id="email" value="" /> + </p> + <p> + <label for="message">Message:</label> + <textarea id="message" rows="5" cols="25"></textarea> + </p> + <div id="submit"> + <input class="submitbutton" type="submit" value="Submit Message" /> + <input class="submitbutton" type="reset" value="Clear Form" /> + </div> + </form> + </div> + <div class="hr"> + <hr /> + </div> + <h4>Weblinks</h4> + <div id="columns"> + <div id="leftcolumn"> + <ul class="navbottom"> + <li><a href="http://www.free-css.com/">Open Designs</a></li> + <li><a href="http://www.free-css.com/">CSS Library</a></li> + <li><a href="http://www.free-css.com/">CSSplay</a></li> + <li><a href="http://www.free-css.com/">Listamatic</a></li> + <li><a href="http://www.free-css.com/">stock.xchng</a></li> + </ul> + </div> + <div id="rightcolumn"> + <ul class="navbottom"> + <li><a href="http://www.free-css.com/">netrenderer</a></li> + <li><a href="http://www.free-css.com/">BrowsrCamp</a></li> + <li><a href="http://www.free-css.com/">Web Developer's Handbook</a></li> + <li><a href="http://www.free-css.com/">500+ Colours</a></li> + <li><a href="http://www.free-css.com/">Wikipedia</a></li> + </ul> + </div> + </div> + </div> + <div id="footer"> All contents © Copyright 2007 <a href="http://www.free-css.com/">Your Sitename</a><br /> + Sponsored by <a href="http://opendesigns.org/">Open Designs</a><br /> + Design by wfiedler<br /> + <a href="http://validator.w3.org/check?uri=referer">Valid XHTML 1.0 Transitional</a> + <p align="right"><a href="#top">top ´|`</a></p> + </div> +</div> +</body> +</html> diff --git a/styles/simpleelegance03/style.css b/styles/simpleelegance03/style.css new file mode 100644 index 0000000..ba2bf33 --- /dev/null +++ b/styles/simpleelegance03/style.css @@ -0,0 +1,242 @@ +body { + margin: 0; + padding: 0; + line-height: 1.5em; + background: #fff; + font: 76%/ 160% verdana, arial, helvetica, sans-serif; + color: #000; + letter-spacing: 1px; +} + +#header { + background-color: #f5f5dc; + padding-top: 20px; + font-size: 2.4em; + font-weight: normal; + letter-spacing: 20px; + height: 40px; + text-align: center; + border-bottom: 1px solid #000; +} + +ul#navtop { + background-color: #f5f5dc; + margin: 0; + padding: 10px 0 10px 30px; + white-space: nowrap; + border-bottom: 1px solid #000; +} + +/*Navigation Styles*/ +#navtop li { + display: inline; + list-style-type: none; +} + +#navtop a { + padding: 3px 10px; +} + +#navtop a:link,#navtop a:visited { + color: #000; + text-decoration: none; + border: 1px solid #f5f5dc; + outline: none; +} + +#navtop a:hover { + color: #000; + background-color: #f9f9ea; + text-decoration: none; + border: 1px solid #000; +} + +#current { + font-weight: bold; +} + +.navbottom { + margin-left: 0; + padding-left: 0; +} + +#maincontainer { + width: 700px; + margin: 50px auto; +} + +#contentwrapper { + float: left; + width: 100%; + margin-bottom: 50px; +} + +/*Content Styles*/ +#contentcolumn { + font-size: 1em; +} + +a,a:active,a:visited { + outline: none; + color: #626258; + text-decoration: underline; +} + +a:hover { + color: #939384; + text-decoration: none; +} + +h1 { + font-size: 2em; + margin-bottom: 1em; + color: #626258; +} + +h2,h3 { + font-size: 1.3em; + margin: 0; + color: #626258; +} + +h4,h5,h6 { + font-size: 1.1em; + margin: 0; + color: #626258 +} + +.list { + margin-left: 20px; + padding-left: 0; + list-style: none; +} + +.list li { + padding-left: 10px; + background: url(images/list.gif) no-repeat 0 7px; +} + +div.hr { + margin: 20px 0 20px 0; + height: 10px; + background: #fff url(images/hr.gif); +} + +div.hr hr { + display: none; +} + +#columns { + margin: 0; +} + +#columns li { + list-style-type: none; +} + +#leftcolumn { + float: left; + width: 48%; + font-size: 1em; +} + +#leftcolumn li { + padding-left: 15px; + background: url(images/link.gif) no-repeat 0 5px; +} + +#rightcolumn { + float: right; + width: 48%; + font-size: 1em; +} + +#rightcolumn li { + padding-left: 15px; + background: url(images/link.gif) no-repeat 0 5px; +} + +#footer { + clear: left; + width: 100%; + margin: 70px 20px 20px 20px; + border-top: 5px dotted black; + text-align: center; + /*border-bottom: 20px solid #fff;*/ + font-size: 0.8em; +} + +/*Image and Gallery Styles*/ +.imgleft { + float: left; + margin: 6px 10px 0 0; +} + +.imgright { + float: right; + margin: 6px 0 0 10px; +} + +.gallery { + margin-right: 5px; + border: none; +} + +.gallery_right_img { + margin-right: 0; + border: none; +} + +/*Form Styles*/ +.form { + margin: 20px 0px 20px 0px; +} + +.form p { + width: 300px; + clear: left; + margin: 0; + padding: 5px 0 8px 0; + padding-left: 155px; + height: 1%; +} + +.form label { + font-weight: bold; + float: left; + margin-left: -155px; + width: 150px; +} + +.form .input { + width: 275px; + background-color: #f5f5dc; + border: 1px solid #f5f5dc; + letter-spacing: 1px; + padding: 4px; +} + +.form textarea { + width: 275px; + height: 150px; + background-color: #f5f5dc; + border: 1px solid #f5f5dc; + font: 1em/ 160% verdana, arial, helvetica, sans-serif; + letter-spacing: 1px; + padding: 4px; +} + +#submit { + margin-left: 155px; +} + +* html #submit { + margin-left: 158px; +} + +.submitbutton { + border: 1px solid #939384; + background: #f5f5dc url(images/button.gif); + letter-spacing: 1px; + width: 140px; +}
\ No newline at end of file |
