diff options
Diffstat (limited to 'content/static/TIPE_2007')
| -rw-r--r-- | content/static/TIPE_2007/C/Sauv/TFD - C.tar.bz2 | bin | 6512 -> 0 bytes | |||
| -rw-r--r-- | content/static/TIPE_2007/C/Sauv/TFD - C.zip | bin | 10576 -> 0 bytes | |||
| -rw-r--r-- | content/static/TIPE_2007/Dossier/Dossier_TIPE_2007_TF.pdf.sansTOC | bin | 6725908 -> 0 bytes | |||
| -rw-r--r-- | content/static/TIPE_2007/Maple/TFD - Old.mw | 496 |
4 files changed, 0 insertions, 496 deletions
diff --git a/content/static/TIPE_2007/C/Sauv/TFD - C.tar.bz2 b/content/static/TIPE_2007/C/Sauv/TFD - C.tar.bz2 Binary files differdeleted file mode 100644 index d8ca9fc..0000000 --- a/content/static/TIPE_2007/C/Sauv/TFD - C.tar.bz2 +++ /dev/null diff --git a/content/static/TIPE_2007/C/Sauv/TFD - C.zip b/content/static/TIPE_2007/C/Sauv/TFD - C.zip Binary files differdeleted file mode 100644 index bb60997..0000000 --- a/content/static/TIPE_2007/C/Sauv/TFD - C.zip +++ /dev/null diff --git a/content/static/TIPE_2007/Dossier/Dossier_TIPE_2007_TF.pdf.sansTOC b/content/static/TIPE_2007/Dossier/Dossier_TIPE_2007_TF.pdf.sansTOC Binary files differdeleted file mode 100644 index d8a7a47..0000000 --- a/content/static/TIPE_2007/Dossier/Dossier_TIPE_2007_TF.pdf.sansTOC +++ /dev/null diff --git a/content/static/TIPE_2007/Maple/TFD - Old.mw b/content/static/TIPE_2007/Maple/TFD - Old.mw deleted file mode 100644 index 950dcc2..0000000 --- a/content/static/TIPE_2007/Maple/TFD - Old.mw +++ /dev/null @@ -1,496 +0,0 @@ -<?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">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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(): -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(""))">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2OVEiUEYnLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuRicvJSVzaXplR1EjMTJGJy8lJWJvbGRHUSZmYWxzZUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUqdW5kZXJsaW5lR0Y3LyUqc3Vic2NyaXB0R0Y3LyUsc3VwZXJzY3JpcHRHRjcvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy8lJ29wYXF1ZUdGNy8lK2V4ZWN1dGFibGVHRjcvJSlyZWFkb25seUdGNy8lKWNvbXBvc2VkR0Y3LyUqY29udmVydGVkR0Y3LyUraW1zZWxlY3RlZEdGNy8lLHBsYWNlaG9sZGVyR0Y3LyUwZm9udF9zdHlsZV9uYW1lR1EoMkR+TWF0aEYnLyUqbWF0aGNvbG9yR0ZDLyUvbWF0aGJhY2tncm91bmRHRkYvJStmb250ZmFtaWx5R0YxLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lKW1hdGhzaXplR0Y0LUkjbW9HRiQ2M1EjOj1GJy8lJWZvcm1HUSZpbmZpeEYnLyUmZmVuY2VHRjcvJSpzZXBhcmF0b3JHRjcvJSdsc3BhY2VHUS90aGlja21hdGhzcGFjZUYnLyUncnNwYWNlR0Zqby8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobWF4c2l6ZUdRKWluZmluaXR5RicvJShtaW5zaXplR1EiMUYnLyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJTBmb250X3N0eWxlX25hbWVHRlcvJSVzaXplR0Y0LyUrZm9yZWdyb3VuZEdGQy8lK2JhY2tncm91bmRHRkYtRiM2Jy1GLDY5USFGJ0YvRjJGNUY4RjtGPUY/RkFGREZHRklGS0ZNRk9GUUZTRlVGWEZaRmZuRmhuRltvLUkrbXVuZGVyb3ZlckdGJDYnLUZebzYzUSYmU3VtO0YnL0Zib1EncHJlZml4RidGZG9GZm8vRmlvUSQwZW1GJy9GXHBRLnRoaW5tYXRoc3BhY2VGJy9GXnBGOkZfcEZhcEZkcC9GaHBGOi9GanBGOkZbcUZdcUZfcUZhcUZjcS1GIzYnRmdxLUYsNjlRImlGJ0YvL0YzUSMxMEYnRjVGOEY7Rj1GPy9GQlEsWzIwMCwwLDIwMF1GJ0ZERkdGSUZLRk1GT0ZRL0ZURjpGVS9GWUZhc0ZaRmZuRmhuL0Zcb0Zfcy1GXm82M1EiPUYnRmFvRmRvRmZvRmhvRltwRl1wRl9wRmFwRmRwRmdwRmlwRltxRl1xRl9xRmFxRmNxLUkjbW5HRiQ2OVEiMEYnRi9GMkY1L0Y5RjdGO0Y9Rj9GQUZERkdGSUZLRk1GT0ZRRlNGVUZYRlpGZm4vRmluUSdub3JtYWxGJ0Zbb0ZncS1GIzYjLUZpczY5USMxMEYnRi9GMkY1Rlx0RjtGPUY/RkFGREZHRklGS0ZNRk9GUUZTRlVGWEZaRmZuRl10RltvRltxLyUsYWNjZW50dW5kZXJHRjdGZ3EtSSVtc3VwR0YkNiUtRiw2OVEjaVhGJ0YvRjJGNUY4RjtGPUY/RkFGREZHRklGS0ZNRk9GUUZTRlVGWEZaRmZuRmhuRltvLUYsNjlGXXNGL0YyRjVGOEY7Rj1GP0ZBRkRGR0ZJRktGTUZPRlFGU0ZVRlhGWkZmbkZobkZbby8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGZ3FGZ3E=</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 |