(************** Content-type: application/mathematica **************

                    Mathematica-Compatible Notebook

This notebook can be used with any Mathematica-compatible
application, such as Mathematica, MathReader or Publicon. The data
for the notebook starts with the line containing stars above.

To get the notebook into a Mathematica-compatible application, do
one of the following:

* Save the data starting with the line of stars above into a file
  with a name ending in .nb, then open the file inside the
  application;

* Copy the data starting with the line of stars above to the
  clipboard, then use the Paste menu command inside the application.

Data for notebooks contains only printable 7-bit ASCII and can be
sent directly in email or through ftp in text mode.  Newlines can be
CR, LF or CRLF (Unix, Macintosh or MS-DOS style).

NOTE: If you modify the data for this notebook not in a Mathematica-
compatible application, you must delete the line below containing
the word CacheID, otherwise Mathematica-compatible applications may
try to use invalid cache data.

For more information on notebooks and Mathematica-compatible 
applications, contact Wolfram Research:
  web: http://www.wolfram.com
  email: info@wolfram.com
  phone: +1-217-398-0700 (U.S.)

Notebook reader applications are available free of charge from 
Wolfram Research.
*******************************************************************)

(*CacheID: 232*)


(*NotebookFileLineBreakTest
NotebookFileLineBreakTest*)
(*NotebookOptionsPosition[    111056,       3444]*)
(*NotebookOutlinePosition[    111972,       3474]*)
(*  CellTagsIndexPosition[    111928,       3470]*)
(*WindowFrame->Normal*)



Notebook[{
Cell[BoxData[
    RowBox[{
      StyleBox["2.1",
        FontSize->18], 
      StyleBox[".5",
        FontSize->18], 
      StyleBox[" ",
        FontSize->18], 
      RowBox[{
        StyleBox["Mathematica",
          FontSize->18,
          FontSlant->"Italic"], 
        StyleBox[":",
          FontSize->18], 
        StyleBox["\:30d5\:30fc\:30ea\:30a8\:7d1a\:6570\:306e\:56f3\:793a",
          FontSize->18]}]}]], "Input"],

Cell[BoxData[""], "Input"],

Cell["\:30d1\:30c3\:30b1\:30fc\:30b8\:306e Load \
\:3092\:3057\:3066\:304a\:304d\:307e\:3059\:ff0e", "Input",
  FontVariations->{"CompatibilityType"->0}],

Cell["Needs[\"Calculus`FourierTransform`\"]", "Input",
  FontVariations->{"CompatibilityType"->0}],

Cell[BoxData[{
    \(FourierTrigSeries\ \ \:306f\:ff0c\), "\[IndentingNewLine]", 
    \(f \((x)\) \:301c \(\((\(|\)\(b\)\(|\))\)\^\(\(1 + 
                a\)\/2\)\) \((a\_0 + \[Sum]\+\(n = \
1\)\%\[Infinity]\((\(a\_n\) cos \((2  \[Pi]\ bnx)\) + \(b\_n\) 
                  cos \((2  \[Pi]\ bnx)\))\))\)\), "\[IndentingNewLine]", 
    \(a\_0 = \(\((\(|\)\(b\)\(|\))\)\^\(\(1 - 
                  a\)\/2\)\) \(\[Integral]\_\(-\(1\/\(2 | b | \
\)\)\)\%\(1\/\(2 | b | \)\)f \((t)\) \[DifferentialD]t\), \ \ a\_n = \(\((\(|\
\)\(b\)\(|\))\)\^\(\(1 - 
                  a\)\/2\)\) \(\[Integral]\_\(-\(1\/\(2 | b | \
\)\)\)\%\(1\/\(2 | b | \)\)f \((t)\) 
            cos \((2  \[Pi]\ bnt)\) \[DifferentialD]t\), \[IndentingNewLine]b\
\_n = \(\((\(|\)\(b\)\(|\))\)\^\(\(1 - 
                  a\)\/2\)\) \(\[Integral]\_\(-\(1\/\(2 | b | \
\)\)\)\%\(1\/\(2 | b | \)\)f \((t)\) 
            sin \((2  \[Pi]\ bnt)\) \[DifferentialD]t\)\), "\
\[IndentingNewLine]", 
    \(\:3068\:5b9a\:7fa9\:3055\:308c\:3066\:3044\:3066\:ff0c {a, 
          b}\ \ \:306e\:6307\:5b9a\:306b\:306f\:ff0cFourierParameters \[Rule] \
{a, b}\ \), "\[IndentingNewLine]", 
    \(\ \:3092\:7528\:3044\:307e\:3059\:ff0e\:30c7\:30d5\:30a9\:30eb\:30c8\
\:306f\ \ {0, 
        1}\ \:3068\:306a\:3063\:3066\:3044\:307e\:3059\:ff0e\)}], "Input",
  CellDingbat->"\[FilledSquare]",
  Background->RGBColor[0.644541, 0.957046, 0.898451],
  FontVariations->{"CompatibilityType"->0}],

Cell[BoxData[{
    \(\:4f8b\:ff13\:ff1a\:3000 \((p  .43\ \ )\)\ \:306e\:56f3\:793a\), "\
\[IndentingNewLine]", 
    \(\((1)\)\ \ y = \(\(1\)\(-\)\) | 
        x | \((\(-1\) < x \[LessEqual] 
            1)\), \:3000\:306b\:3064\:3044\:3066\:ff0c\:30d5\:30fc\:30ea\:30a8\
\:7d1a\:6570\:306e\:90e8\:5206\:548c\:3092\:6c42\:3081\:307e\:3059\:ff0e\)}], \
"Input",
  CellDingbat->"\[FilledSquare]",
  Background->RGBColor[0.644541, 0.957046, 0.898451],
  FontVariations->{"CompatibilityType"->0}],

Cell[CellGroupData[{

Cell[BoxData[
    \(f1 = 
      FourierTrigSeries[1 - Abs[x], x, 8, 
          FourierParameters \[Rule] {\(-1\), 1\/2}] // Simplify\)], "Input",
  FontVariations->{"CompatibilityType"->0}],

Cell[BoxData[
    \(1\/2 + \(4\ Cos[\[Pi]\ x]\)\/\[Pi]\^2 + \(4\ Cos[3\ \[Pi]\ x]\)\/\(9\ \
\[Pi]\^2\) + \(4\ Cos[5\ \[Pi]\ x]\)\/\(25\ \[Pi]\^2\) + \(4\ Cos[7\ \[Pi]\ \
x]\)\/\(49\ \[Pi]\^2\)\)], "Output"]
}, Open  ]],

Cell[BoxData[{
    \(\:3000\:6ce8\:610f\:ff1a\:8907\:7d20\:30d5\:30fc\:30ea\:30a8\:7d1a\:6570\
\:3092\:7528\:3044\:3066\:ff0cFourierSeries[1 - Abs[x], x, 
        8, \[IndentingNewLine]FourierParameters \[Rule] {\(-1\), 1\/2}] // 
      ExpToTrig\:3000\:3068\:3057\:3066\:3082\:540c\:3058\:7d50\:679c\), "\
\[IndentingNewLine]", 
    \(\:3000\:304c\:5f97\:3089\:308c\:307e\:3059\:ff0e\)}], "Input"],

Cell["\:7b2c\:ff15\:9805\:307e\:3067\:306e\:90e8\:5206\:548c\:306e\:30b0\:30e9\
\:30d5\:ff0e", "Input",
  FontVariations->{"CompatibilityType"->0}],

Cell[CellGroupData[{

Cell["\<\
Plot[f1,{x,-3,3},AxesLabel->{\"x\",\"y\"},AspectRatio->Automatic];\
\>", "Input",
  FontVariations->{"CompatibilityType"->0}],

Cell[GraphicsData["PostScript", "\<\
%!
%%Creator: Mathematica
%%AspectRatio: .16246 
MathPictureStart
/Mabs {
Mgmatrix idtransform
Mtmatrix dtransform
} bind def
/Mabsadd { Mabs
3 -1 roll add
3 1 roll add
exch } bind def
%% Graphics
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10  scalefont  setfont
% Scaling calculations
0.5 0.15873 0.00386819 0.15873 [
[.02381 -0.00863 -6 -9 ]
[.02381 -0.00863 6 0 ]
[.18254 -0.00863 -6 -9 ]
[.18254 -0.00863 6 0 ]
[.34127 -0.00863 -6 -9 ]
[.34127 -0.00863 6 0 ]
[.65873 -0.00863 -3 -9 ]
[.65873 -0.00863 3 0 ]
[.81746 -0.00863 -3 -9 ]
[.81746 -0.00863 3 0 ]
[.97619 -0.00863 -3 -9 ]
[.97619 -0.00863 3 0 ]
[1.025 .00387 0 -6.40625 ]
[1.025 .00387 10.125 6.40625 ]
[.4875 .03561 -18 -4.5 ]
[.4875 .03561 0 4.5 ]
[.4875 .06736 -18 -4.5 ]
[.4875 .06736 0 4.5 ]
[.4875 .09911 -18 -4.5 ]
[.4875 .09911 0 4.5 ]
[.4875 .13085 -18 -4.5 ]
[.4875 .13085 0 4.5 ]
[.5 .18746 -5.0625 0 ]
[.5 .18746 5.0625 12.8125 ]
[ 0 0 0 0 ]
[ 1 .16246 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
0 g
.25 Mabswid
[ ] 0 setdash
.02381 .00387 m
.02381 .01012 L
s
[(-3)] .02381 -0.00863 0 1 Mshowa
.18254 .00387 m
.18254 .01012 L
s
[(-2)] .18254 -0.00863 0 1 Mshowa
.34127 .00387 m
.34127 .01012 L
s
[(-1)] .34127 -0.00863 0 1 Mshowa
.65873 .00387 m
.65873 .01012 L
s
[(1)] .65873 -0.00863 0 1 Mshowa
.81746 .00387 m
.81746 .01012 L
s
[(2)] .81746 -0.00863 0 1 Mshowa
.97619 .00387 m
.97619 .01012 L
s
[(3)] .97619 -0.00863 0 1 Mshowa
.125 Mabswid
.05556 .00387 m
.05556 .00762 L
s
.0873 .00387 m
.0873 .00762 L
s
.11905 .00387 m
.11905 .00762 L
s
.15079 .00387 m
.15079 .00762 L
s
.21429 .00387 m
.21429 .00762 L
s
.24603 .00387 m
.24603 .00762 L
s
.27778 .00387 m
.27778 .00762 L
s
.30952 .00387 m
.30952 .00762 L
s
.37302 .00387 m
.37302 .00762 L
s
.40476 .00387 m
.40476 .00762 L
s
.43651 .00387 m
.43651 .00762 L
s
.46825 .00387 m
.46825 .00762 L
s
.53175 .00387 m
.53175 .00762 L
s
.56349 .00387 m
.56349 .00762 L
s
.59524 .00387 m
.59524 .00762 L
s
.62698 .00387 m
.62698 .00762 L
s
.69048 .00387 m
.69048 .00762 L
s
.72222 .00387 m
.72222 .00762 L
s
.75397 .00387 m
.75397 .00762 L
s
.78571 .00387 m
.78571 .00762 L
s
.84921 .00387 m
.84921 .00762 L
s
.88095 .00387 m
.88095 .00762 L
s
.9127 .00387 m
.9127 .00762 L
s
.94444 .00387 m
.94444 .00762 L
s
.25 Mabswid
0 .00387 m
1 .00387 L
s
gsave
1.025 .00387 -61 -10.4063 Mabsadd m
1 1 Mabs scale
currentpoint translate
0 20.8125 translate 1 -1 scale
63.000 13.125 moveto
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10.000 scalefont
[1 0 0 -1 0 0 ] makefont setfont
0.000 0.000 0.000 setrgbcolor
0.000 0.000 rmoveto
63.000 13.125 moveto
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10.000 scalefont
[1 0 0 -1 0 0 ] makefont setfont
0.000 0.000 0.000 setrgbcolor
(x) show
69.125 13.125 moveto
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10.000 scalefont
[1 0 0 -1 0 0 ] makefont setfont
0.000 0.000 0.000 setrgbcolor
0.000 0.000 rmoveto
1.000 setlinewidth
grestore
.5 .03561 m
.50625 .03561 L
s
[(0.2)] .4875 .03561 1 0 Mshowa
.5 .06736 m
.50625 .06736 L
s
[(0.4)] .4875 .06736 1 0 Mshowa
.5 .09911 m
.50625 .09911 L
s
[(0.6)] .4875 .09911 1 0 Mshowa
.5 .13085 m
.50625 .13085 L
s
[(0.8)] .4875 .13085 1 0 Mshowa
.125 Mabswid
.5 .0118 m
.50375 .0118 L
s
.5 .01974 m
.50375 .01974 L
s
.5 .02768 m
.50375 .02768 L
s
.5 .04355 m
.50375 .04355 L
s
.5 .05149 m
.50375 .05149 L
s
.5 .05942 m
.50375 .05942 L
s
.5 .0753 m
.50375 .0753 L
s
.5 .08323 m
.50375 .08323 L
s
.5 .09117 m
.50375 .09117 L
s
.5 .10704 m
.50375 .10704 L
s
.5 .11498 m
.50375 .11498 L
s
.5 .12292 m
.50375 .12292 L
s
.5 .13879 m
.50375 .13879 L
s
.5 .14673 m
.50375 .14673 L
s
.5 .15466 m
.50375 .15466 L
s
.25 Mabswid
.5 0 m
.5 .16246 L
s
gsave
.5 .18746 -66.0625 -4 Mabsadd m
1 1 Mabs scale
currentpoint translate
0 20.8125 translate 1 -1 scale
63.000 13.125 moveto
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10.000 scalefont
[1 0 0 -1 0 0 ] makefont setfont
0.000 0.000 0.000 setrgbcolor
0.000 0.000 rmoveto
63.000 13.125 moveto
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10.000 scalefont
[1 0 0 -1 0 0 ] makefont setfont
0.000 0.000 0.000 setrgbcolor
(y) show
69.125 13.125 moveto
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10.000 scalefont
[1 0 0 -1 0 0 ] makefont setfont
0.000 0.000 0.000 setrgbcolor
0.000 0.000 rmoveto
1.000 setlinewidth
grestore
0 0 m
1 0 L
1 .16246 L
0 .16246 L
closepath
clip
newpath
.5 Mabswid
.02381 .00787 m
.06244 .04276 L
.10458 .08453 L
.14415 .12393 L
.16408 .14484 L
.1683 .14967 L
.17277 .15409 L
.17511 .15592 L
.17635 .15671 L
.17768 .15743 L
.1789 .15794 L
.18002 .15828 L
.18114 .1585 L
.18221 .15859 L
.18342 .15856 L
.1847 .15836 L
.18592 .15803 L
.18702 .1576 L
.18832 .15695 L
.18972 .15609 L
.19227 .15412 L
.20178 .14392 L
.22272 .12234 L
.26372 .08156 L
.30321 .04224 L
.32307 .02132 L
.32728 .01653 L
.33174 .01217 L
.33407 .01039 L
.33531 .00962 L
.33664 .00893 L
.33786 .00845 L
.33898 .00813 L
.34005 .00794 L
.34118 .00787 L
.34238 .00793 L
.34366 .00815 L
.34487 .00851 L
.34596 .00896 L
.34866 .01052 L
.3512 .01252 L
.36069 .02276 L
.3816 .04427 L
.42007 .08271 L
.46099 .12338 L
.4708 .13266 L
.48135 .14461 L
.48645 .15041 L
.48897 .15295 L
.4913 .15497 L
Mistroke
.49358 .15658 L
.49565 .15766 L
.49683 .1581 L
.49795 .15839 L
.49912 .15856 L
.50039 .15859 L
.50154 .15848 L
.50276 .15822 L
.50392 .15783 L
.50498 .15737 L
.50756 .15583 L
.51 .15389 L
.52014 .14286 L
.53828 .12403 L
.57666 .08573 L
.61749 .04508 L
.63779 .02456 L
.64263 .01888 L
.64772 .0135 L
.64982 .01166 L
.65207 .01004 L
.65336 .0093 L
.65453 .00875 L
.6557 .00833 L
.65681 .00805 L
.65787 .00791 L
.65903 .00787 L
.66023 .00798 L
.66136 .00822 L
.66242 .00855 L
.66339 .00894 L
.66555 .01014 L
.66788 .01186 L
.67041 .01414 L
.67502 .0191 L
.69462 .04028 L
.73537 .08071 L
.7746 .11993 L
.79427 .13927 L
.80289 .1493 L
.80525 .1518 L
.80777 .15416 L
.80995 .15586 L
.81232 .15729 L
.81364 .15787 L
.81485 .15826 L
.81601 .15849 L
.81725 .1586 L
.81835 .15856 L
.81938 .15841 L
Mistroke
.82051 .15813 L
.82173 .15769 L
.823 .15708 L
.82438 .15626 L
.82691 .15436 L
.83164 .14973 L
.85249 .12697 L
.89315 .08663 L
.9323 .04747 L
.95229 .02801 L
.95777 .02158 L
.96355 .0151 L
.96594 .0128 L
.96849 .01074 L
.96996 .00978 L
.97129 .00906 L
.97194 .00877 L
.97264 .0085 L
.97391 .00813 L
.97509 .00793 L
.97619 .00787 L
Mfstroke
% End of Graphics
MathPictureEnd
\
\>"], "Graphics",
  ImageSize->{536.625, 87.1875},
  ImageMargins->{{1, 0}, {0, 0}},
  ImageRegion->{{0, 1}, {0, 1}},
  ImageCache->GraphicsData["Bitmap", "\<\
CF5dJ6E]HGAYHf4PAg9QL6QYHg<PAVmbKF5d0`40008H0000Eb000`400?l00000o`00003oo`3ooooo
0?oooaX0oooo001X0?ooo`800000<@3oool400000300oooo1@00001P0?ooo`D00000;`3oool40000
0340oooo0P00001i0?ooo`00I`3oool010000000oooo0?ooo`00000`0?ooo`030000003oool0oooo
03<0oooo00<000000?ooo`3oool0HP3oool00`000000oooo0?ooo`0_0?ooo`030000003oool0oooo
0340oooo00@000000?ooo`3oool00000N03oool006T0oooo00<000000?ooo`3oool0<03oool00`00
0000oooo0?ooo`0b0?ooo`030000003oool0oooo0680oooo00<000000?ooo`3oool0<03oool00`00
0000oooo0?ooo`0b0?ooo`030000003oool0oooo07L0oooo001Q0?ooo`@000001@3oool00`000000
oooo0?ooo`0X0?ooo`@00000103oool00`000000oooo0?ooo`0Y0?ooo`@00000103oool00`000000
oooo0?ooo`1R0?ooo`030000003oool0oooo0340oooo00<000000?ooo`3oool0<P3oool00`000000
oooo0?ooo`1f0?ooo`00I`3oool010000000oooo0?ooo`00000`0?ooo`040000003oool0oooo0000
0380oooo00<000000?ooo`3oool0HP3oool00`000000oooo0?ooo`0_0?ooo`040000003oool0oooo
00000300oooo00@000000?ooo`3oool00000N03oool006P0oooo0P00000b0?ooo`800000<P3oool2
000006<0oooo0P00000b0?ooo`800000<P3oool2000007T0oooo003o0?ooool0oooo6P3oool00?l0
ooooo`3ooolJ0?ooo`00o`3ooooo0?oooaX0oooo003o0?ooool0oooo6P3oool00?l0ooooo`3ooolJ
0?ooo`00o`3oool30?ooo`030000003oool0oooo0:`0oooo0P0000000`3oool000000000001R0?oo
o`00GP3ooooo000004X000002`3oool00`000000oooo0000001S0?ooo`00IP3oool00`000000oooo
0?ooo`070?ooo`030000003oool0oooo00P0oooo00<000000?ooo`3oool01`3oool00`000000oooo
0?ooo`080?ooo`030000003oool0oooo00L0oooo00<000000?ooo`3oool01`3oool00`000000oooo
0?ooo`080?ooo`030000003oool0oooo00L0oooo00<000000?ooo`3oool0203oool00`000000oooo
0?ooo`070?ooo`030000003oool0oooo00L0oooo00<000000?ooo`3oool0203oool00`000000oooo
0?ooo`070?ooo`030000003oool0oooo00P0oooo00<000000?ooo`3oool01`3oool00`000000oooo
0?ooo`080?ooo`030000003oool0oooo00L0oooo00<000000?ooo`3oool01`3oool00`000000oooo
0?ooo`080?ooo`030000003oool0oooo00L0oooo00<000000?ooo`3oool0203oool00`000000oooo
0?ooo`070?ooo`030000003oool0oooo00P0oooo00<000000?ooo`3oool01`3oool00`000000oooo
0?ooo`070?ooo`030000003oool0oooo00P0oooo00<000000?ooo`3oool01`3oool00`000000oooo
0?ooo`080?ooo`030000003oool0oooo00L0oooo00<000000?ooo`3oool01`3oool00`000000oooo
0?ooo`0B0?ooo`030000003oool0oooo0680oooo001V0?ooo`030000003oool0oooo00L0oooo00<0
00000?ooo`3oool0203oool00`000000oooo0?ooo`070?ooo`030000003oool0oooo00P0oooo00<0
00000?ooo`3oool01`3oool00`000000oooo0?ooo`070?ooo`030000003oool0oooo00P0oooo00<0
00000?ooo`3oool01`3oool00`000000oooo0?ooo`080?ooo`030000003oool0oooo00D0oooo1@00
00070?ooo`030000003oool0oooo00P0oooo00<000000?ooo`3oool01`3oool00`000000oooo0?oo
o`080?ooo`030000003oool0oooo00L0oooo00<000000?ooo`3oool0203oool00`000000oooo0?oo
o`070?ooo`030000003oool0oooo00L0oooo00<000000?ooo`3oool0203oool00`000000oooo0?oo
o`050?ooo`D00000203oool00`000000oooo0?ooo`070?ooo`030000003oool0oooo00P0oooo00<0
00000?ooo`3oool01`3oool00`000000oooo0?ooo`070?ooo`030000003oool0oooo00P0oooo00<0
00000?ooo`3oool01`3oool00`000000oooo0?ooo`080?ooo`030000003oool0oooo00L0oooo00<0
00000?ooo`3oool01@3oool300000180oooo0P0000000`3oool000000000001R0?ooo`00I`3oool0
0`000000oooo0?ooo`1Q0?ooo`8000000`3oool200000300oooo0P00000_0?ooo`030000003oool0
oooo00<0oooo00<000000?ooo`3oool0G`3oool2000007/0oooo001X0?ooo`030000003oool0oooo
05l0oooo00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`0]0?ooo`030000003oool0oooo
02h0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`1M0?ooo`030000003oool0oooo
07/0oooo001Y0?ooo`800000GP3oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo02d0
oooo00<000000?ooo`3oool0;03oool2000000P0oooo0P00001L0?ooo`030000003oool0oooo07`0
oooo001[0?ooo`030000003oool0oooo05X0oooo00<000000?ooo`3oool0203oool00`000000oooo
0?ooo`0/0?ooo`800000;03oool00`000000oooo0?ooo`0:0?ooo`030000003oool0oooo05P0oooo
00<000000?ooo`3oool0O@3oool006`0oooo00<000000?ooo`3oool0F03oool00`000000oooo0?oo
o`0:0?ooo`030000003oool0oooo02/0oooo00<000000?ooo`3oool0:P3oool00`000000oooo0?oo
o`0<0?ooo`030000003oool0oooo05H0oooo00<000000?ooo`3oool0OP3oool006d0oooo00<00000
0?ooo`3oool0EP3oool00`000000oooo0?ooo`0<0?ooo`030000003oool0oooo02X0oooo0P00000Z
0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool0E@3oool00`000000oooo0?ooo`1n
0?ooo`00KP3oool00`000000oooo0?ooo`1D0?ooo`030000003oool0oooo00h0oooo00<000000?oo
o`3oool05@3oool2000000@0oooo0P0000030?ooo`@000001@3oool00`000000oooo0?ooo`0X0?oo
o`030000003oool0oooo00l0oooo00<000000?ooo`3oool0E03oool00`000000oooo0?ooo`1o0?oo
o`00K`3oool2000005@0oooo00<000000?ooo`3oool03`3oool00`000000oooo0?ooo`0C0?ooo`04
0000003oool0oooo000000P0oooo00<000000?ooo`3oool01P3oool00`000000oooo0?ooo`0W0?oo
o`030000003oool0oooo0140oooo00<000000?ooo`3oool0DP3oool00`000000oooo0?ooo`200?oo
o`00L@3oool00`000000oooo0?ooo`1@0?ooo`030000003oool0oooo0140oooo00<000000?ooo`3o
ool04P3oool010000000oooo0?ooo`0000090?ooo`030000003oool0oooo00D0oooo0`00000W0?oo
o`030000003oool0oooo0180oooo00<000000?ooo`3oool0D03oool00`000000oooo0?ooo`210?oo
o`00LP3oool00`000000oooo0?ooo`1>0?ooo`030000003oool0oooo01<0oooo00<000000?ooo`3o
ool04@3oool010000000oooo0?ooo`00000:0?ooo`030000003oool0oooo00@0oooo00<000000?oo
o`3oool09P3oool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo04h0oooo00<000000?oo
o`3oool0PP3oool007<0oooo00<000000?ooo`3oool0C03oool00`000000oooo0?ooo`0E0?ooo`03
0000003oool0oooo0100oooo00@000000?ooo`3oool00000203oool010000000oooo0?ooo`000005
0?ooo`8000009P3oool00`000000oooo0?ooo`0F0?ooo`030000003oool0oooo04`0oooo00<00000
0?ooo`3oool0P`3oool007@0oooo00<000000?ooo`3oool0BP3oool00`000000oooo0?ooo`0G0?oo
o`030000003oool0oooo0100oooo0P00000:0?ooo`8000001P3oool00`000000oooo0?ooo`0T0?oo
o`030000003oool0oooo01P0oooo00<000000?ooo`3oool0BP3oool00`000000oooo0?ooo`240?oo
o`00M@3oool00`000000oooo0?ooo`180?ooo`030000003oool0oooo01T0oooo00<000000?ooo`3o
ool08`3oool00`000000oooo0?ooo`0S0?ooo`030000003oool0oooo01X0oooo00<000000?ooo`3o
ool0B03oool00`000000oooo0?ooo`250?ooo`00MP3oool00`000000oooo0?ooo`160?ooo`030000
003oool0oooo01/0oooo00<000000?ooo`3oool08P3oool2000002<0oooo00<000000?ooo`3oool0
703oool00`000000oooo0?ooo`160?ooo`030000003oool0oooo08H0oooo001g0?ooo`030000003o
ool0oooo04@0oooo00<000000?ooo`3oool07@3oool00`000000oooo0?ooo`0Q0?ooo`030000003o
ool0oooo0240oooo00<000000?ooo`3oool07P3oool00`000000oooo0?ooo`140?ooo`030000003o
ool0oooo08L0oooo001h0?ooo`030000003oool0oooo0480oooo00<000000?ooo`3oool07`3oool0
0`000000oooo0?ooo`0P0?ooo`030000003oool0oooo0200oooo00<000000?ooo`3oool0803oool0
0`000000oooo0?ooo`120?ooo`030000003oool0oooo08P0oooo001i0?ooo`030000003oool0oooo
0400oooo00<000000?ooo`3oool08@3oool00`000000oooo0?ooo`0;0?ooo`800000103oool20000
00D0oooo0`0000040?ooo`800000803oool00`000000oooo0?ooo`0Q0?ooo`030000003oool0oooo
0440oooo00<000000?ooo`3oool0R@3oool007T0oooo00<000000?ooo`3oool0?`3oool00`000000
oooo0?ooo`0S0?ooo`8000002P3oool010000000oooo0?ooo`00000;0?ooo`030000003oool0oooo
00<0oooo00<000000?ooo`3oool07P3oool00`000000oooo0?ooo`0S0?ooo`030000003oool0oooo
03l0oooo00<000000?ooo`3oool0RP3oool007X0oooo00<000000?ooo`3oool0?@3oool00`000000
oooo0?ooo`0V0?ooo`030000003oool0oooo00L0oooo00@000000?ooo`3oool00000203oool50000
00@0oooo0`00000L0?ooo`8000009`3oool00`000000oooo0?ooo`0m0?ooo`030000003oool0oooo
08/0oooo001k0?ooo`030000003oool0oooo03/0oooo00<000000?ooo`3oool0:03oool00`000000
oooo0?ooo`060?ooo`040000003oool0oooo000000P0oooo00@000000?ooo`3oool000001@3oool0
0`000000oooo0?ooo`0K0?ooo`030000003oool0oooo02P0oooo00<000000?ooo`3oool0>`3oool0
0`000000oooo0?ooo`2<0?ooo`00O03oool00`000000oooo0?ooo`0i0?ooo`030000003oool0oooo
02X0oooo00<000000?ooo`3oool01@3oool010000000oooo0?ooo`0000090?ooo`030000003oool0
000000D0oooo00<000000?ooo`3oool06P3oool00`000000oooo0?ooo`0Z0?ooo`030000003oool0
oooo03T0oooo00<000000?ooo`3oool0S@3oool007d0oooo00<000000?ooo`3oool0=`3oool00`00
0000oooo0?ooo`0/0?ooo`030000003oool0oooo00D0oooo0P00000;0?ooo`8000001@3oool20000
01X0oooo00<000000?ooo`3oool0;03oool00`000000oooo0?ooo`0g0?ooo`030000003oool0oooo
08h0oooo001n0?ooo`030000003oool0oooo03D0oooo00<000000?ooo`3oool0;P3oool00`000000
oooo0?ooo`0H0?ooo`030000003oool0oooo01P0oooo00<000000?ooo`3oool0;P3oool00`000000
oooo0?ooo`0e0?ooo`030000003oool0oooo08l0oooo001o0?ooo`030000003oool0oooo03<0oooo
00<000000?ooo`3oool0<03oool00`000000oooo0?ooo`0G0?ooo`800000603oool00`000000oooo
0?ooo`0`0?ooo`030000003oool0oooo03<0oooo00<000000?ooo`3oool0T03oool00800oooo00<0
00000?ooo`3oool0<@3oool00`000000oooo0?ooo`0b0?ooo`030000003oool0oooo01H0oooo00<0
00000?ooo`3oool05P3oool00`000000oooo0?ooo`0b0?ooo`030000003oool0oooo0340oooo00<0
00000?ooo`3oool0T@3oool00840oooo00<000000?ooo`3oool0;`3oool00`000000oooo0?ooo`0d
0?ooo`030000003oool0oooo01D0oooo00<000000?ooo`3oool05@3oool00`000000oooo0?ooo`0d
0?ooo`030000003oool0oooo02l0oooo00<000000?ooo`3oool0TP3oool00880oooo00<000000?oo
o`3oool0;@3oool00`000000oooo0?ooo`0f0?ooo`030000003oool0oooo01@0oooo0P00000E0?oo
o`030000003oool0oooo03H0oooo00<000000?ooo`3oool0;@3oool00`000000oooo0?ooo`2C0?oo
o`00P`3oool00`000000oooo0?ooo`0[0?ooo`030000003oool0oooo03P0oooo00@000000?ooo`00
00000000103oool2000000<0oooo0`0000060?ooo`030000003oool0oooo01<0oooo00<000000?oo
o`3oool0>03oool00`000000oooo0?ooo`0[0?ooo`030000003oool0oooo09@0oooo00240?ooo`03
0000003oool0oooo02T0oooo00<000000?ooo`3oool0>P3oool010000000oooo0?ooo`0000080?oo
o`040000003oool0oooo000000D0oooo00<000000?ooo`3oool04P3oool00`000000oooo0?ooo`0j
0?ooo`030000003oool0oooo02T0oooo00<000000?ooo`3oool0U@3oool008D0oooo00<000000?oo
o`3oool09`3oool00`000000oooo0?ooo`0k0?ooo`80000000<0oooo0000003oool01`3oool01000
0000oooo0?ooo`0000050?ooo`<000004@3oool00`000000oooo0?ooo`0l0?ooo`030000003oool0
oooo02L0oooo00<000000?ooo`3oool0UP3oool008H0oooo00<000000?ooo`3oool0903oool20000
03h0oooo0P0000000`3oool000000?ooo`070?ooo`<000001P3oool00`000000oooo0?ooo`0@0?oo
o`030000003oool0oooo03h0oooo00<000000?ooo`3oool09@3oool00`000000oooo0?ooo`2G0?oo
o`00Q`3oool00`000000oooo0?ooo`0R0?ooo`030000003oool0oooo03h0oooo00@000000?ooo`00
000000002@3oool00`000000oooo0?ooo`050?ooo`8000004@3oool00`000000oooo0?ooo`0o0?oo
o`030000003oool0oooo02<0oooo00<000000?ooo`3oool0V03oool008P0oooo00<000000?ooo`3o
ool0803oool00`000000oooo0?ooo`100?ooo`<000002@3oool3000000D0oooo00<000000?ooo`3o
ool03`3oool00`000000oooo0?ooo`110?ooo`030000003oool0oooo0240oooo00<000000?ooo`3o
ool0V@3oool008T0oooo00<000000?ooo`3oool07P3oool00`000000oooo0?ooo`140?ooo`030000
003oool0oooo00h0oooo00<000000?ooo`3oool03P3oool00`000000oooo0?ooo`130?ooo`030000
003oool0oooo01l0oooo00<000000?ooo`3oool0VP3oool008X0oooo00<000000?ooo`3oool0703o
ool00`000000oooo0?ooo`160?ooo`030000003oool0oooo00d0oooo0P00000>0?ooo`030000003o
ool0oooo04D0oooo00<000000?ooo`3oool07@3oool00`000000oooo0?ooo`2K0?ooo`00R`3oool0
0`000000oooo0?ooo`0J0?ooo`030000003oool0oooo04P0oooo00<000000?ooo`3oool0303oool0
0`000000oooo0?ooo`0<0?ooo`030000003oool0oooo04L0oooo00<000000?ooo`3oool06`3oool0
0`000000oooo0?ooo`2L0?ooo`00S03oool00`000000oooo0?ooo`0H0?ooo`030000003oool0oooo
04X0oooo00<000000?ooo`3oool02`3oool2000000`0oooo00<000000?ooo`3oool0B@3oool00`00
0000oooo0?ooo`0I0?ooo`030000003oool0oooo09d0oooo002=0?ooo`030000003oool0oooo01H0
oooo00<000000?ooo`3oool0A@3oool2000000@0oooo0P0000040?ooo`8000001P3oool00`000000
oooo0?ooo`0:0?ooo`030000003oool0oooo04/0oooo00<000000?ooo`3oool05`3oool00`000000
oooo0?ooo`2N0?ooo`00SP3oool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo04D0oooo
00@000000?ooo`3oool000001@3oool010000000oooo0?ooo`0000020?ooo`030000003oool0oooo
00<0oooo00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`1=0?ooo`030000003oool0oooo
01D0oooo00<000000?ooo`3oool0W`3oool008l0oooo00<000000?ooo`3oool04P3oool00`000000
oooo0?ooo`160?ooo`040000003oool0oooo000000H0oooo0`0000020?ooo`030000003oool0oooo
00<0oooo0`0000080?ooo`030000003oool0oooo04l0oooo0P00000D0?ooo`030000003oool0oooo
0:00oooo002@0?ooo`030000003oool0oooo0100oooo00<000000?ooo`3oool0A`3oool010000000
oooo0?ooo`0000080?ooo`<000001P3oool00`000000oooo0?ooo`070?ooo`030000003oool0oooo
0580oooo00<000000?ooo`3oool0403oool00`000000oooo0?ooo`2Q0?ooo`00T@3oool00`000000
oooo0?ooo`0>0?ooo`030000003oool0oooo04P0oooo00@000000?ooo`3oool00000203oool20000
00030?ooo`000000oooo00@0oooo00<000000?ooo`3oool01P3oool00`000000oooo0?ooo`1D0?oo
o`030000003oool0oooo00h0oooo00<000000?ooo`3oool0XP3oool00980oooo00<000000?ooo`3o
ool0303oool00`000000oooo0?ooo`1:0?ooo`8000002P3oool2000000H0oooo0P0000060?ooo`03
0000003oool0oooo05H0oooo00<000000?ooo`3oool0303oool00`000000oooo0?ooo`2S0?ooo`00
T`3oool00`000000oooo0?ooo`0:0?ooo`030000003oool0oooo05P0oooo00<000000?ooo`3oool0
103oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo05P0oooo00<000000?ooo`3oool0
2P3oool00`000000oooo0?ooo`2T0?ooo`00U03oool00`000000oooo0?ooo`080?ooo`030000003o
ool0oooo05X0oooo00<000000?ooo`3oool00`3oool2000000@0oooo00<000000?ooo`3oool0FP3o
ool00`000000oooo0?ooo`080?ooo`030000003oool0oooo0:D0oooo002E0?ooo`030000003oool0
oooo00H0oooo00<000000?ooo`3oool0G03oool00`000000oooo0?ooo`020?ooo`030000003oool0
oooo0080oooo00<000000?ooo`3oool0G03oool00`000000oooo0?ooo`060?ooo`030000003oool0
oooo0:H0oooo002F0?ooo`030000003oool0oooo00D0oooo00<000000?ooo`3oool0G@3oool20000
0080oooo00D000000?ooo`3oool0oooo0000001O0?ooo`030000003oool0oooo00D0oooo00<00000
0?ooo`3oool0Y`3oool009L0oooo00<000000?ooo`3oool00P3oool200000640oooo00<000000?oo
o`3oool00P0000000`3oool000000?ooo`1P0?ooo`800000103oool00`000000oooo0?ooo`2X0?oo
o`00V03oool5000006<0oooo1@00001T0?ooo`@00000Z`3oool00?l0oooo0`3oool00`000000oooo
0?ooo`3o0?oooa@0oooo003o0?ooool0oooo6P3oool00?l0ooooo`3ooolJ0?ooo`00o`3ooooo0?oo
oaX0oooo003o0?ooool0oooo6P3oool00?l0ooooo`3ooolJ0?ooo`00o`3ooooo0?oooaX0oooo003o
0?ooool0oooo6P3oool00?l0ooooo`3ooolJ0?ooo`00o`3ooooo0?oooaX0oooo003o0?ooool0oooo
6P3oool00?l0oooo0@3oool200000?l0oooo5`3oool00?l0oooo0P3oool00`000000oooo0?ooo`3o
0?oooaD0oooo003o0?ooo`<0oooo00<000000?ooo`3oool0o`3ooolD0?ooo`00o`3oool20?ooo`03
0000003oool000000?l0oooo5@3oool00?l0oooo0@3oool010000000oooo0?ooo`00003o0?oooaD0
oooo003o0?ooo`<0000000<0oooo000000000000o`3ooolD0?ooo`00o`3ooooo0?oooaX0oooo003o
0?ooool0oooo6P3oool00?l0ooooo`3ooolJ0?ooo`00o`3ooooo0?oooaX0oooo003o0?ooool0oooo
6P3oool00001\
\>"],
  ImageRangeCache->{{{93.625, 521.875}, {189.063, 120.313}} -> {-7.2348, \
2.64517, 0.0192652, 0.0192652}}]
}, Open  ]],

Cell["", "Input",
  FontVariations->{"CompatibilityType"->0}],

Cell[BoxData[{
    RowBox[{
      RowBox[{\((2)\), "  ", 
        TagBox[
          StyleBox[
            RowBox[{"{", 
              StyleBox[GridBox[{
                    {\(0, \ \ \ \ \ \ \ \ \ \ \ \(-1\) < 
                        x \[LessEqual] \(-0.5\)\)},
                    {\(\(\(1\)\(-\)\) | x | , \ \(-0.5\) < x \[LessEqual] 
                        1\)}
                    }],
                ShowAutoStyles->True]}],
            ShowAutoStyles->False],
          (#&)]}], "     "}], "\[IndentingNewLine]", 
    RowBox[{
      " ", \(NFourierTrigSeries\ \:3067\:306f\:ff0c\)}], \
"\[IndentingNewLine]", \(\:30aa\:30d7\:30b7\:30e7\:30f3\ \:3000AccuracyGoal \
\[Rule] a\ , 
    PrecisionGoal \[Rule] 
      p\), "\[IndentingNewLine]", \(\(\(\:3092\:4f7f\:3044\:ff0c\ \
\:6570\:5024\:8aa4\:5dee\:304c\ \ 10\^\(-a\)\)\(+\)\) | x | 
      10\^\(-p\)\ \ \:4ee5\:4e0b\:306b\:306a\:308b\:3088\:3046\:306b\:6307\
\:5b9a\:3057\:307e\:3059\:ff0e\)}], "Input",
  Background->RGBColor[0.644541, 0.957046, 0.898451],
  FontVariations->{"CompatibilityType"->0}],

Cell[CellGroupData[{

Cell[BoxData[
    \(f2 = 
      NFourierTrigSeries[If[\(-0.5\) < x < 1, 1 - Abs[x], 0], x, 10, 
          FourierParameters \[Rule] {\(-1\), 1\/2}, \ AccuracyGoal \[Rule] 8, 
          PrecisionGoal \[Rule] 8] // Simplify; Short[f2, 3]\)], "Input",
  FontVariations->{"CompatibilityType"->0}],

Cell[BoxData[
    TagBox[\(\(\(0.4375`\)\(\[InvisibleSpace]\)\) + 
        0.4631184940189087`\ Cos[\[Pi]\ x] + \
\[LeftSkeleton]24\[RightSkeleton] + 0.001250878810399269`\ Sin[9\ \[Pi]\ x] - 
        0.015915494309164942`\ Sin[10\ \[Pi]\ x]\),
      (Short[ #, 3]&)]], "Output"]
}, Open  ]],

Cell[CellGroupData[{

Cell["\<\
Plot[f2,{x,-3,3},AxesLabel->{\"x\",\"y\"},AspectRatio->Automatic];\
\>", "Input",
  FontVariations->{"CompatibilityType"->0}],

Cell[GraphicsData["PostScript", "\<\
%!
%%Creator: Mathematica
%%AspectRatio: .17256 
MathPictureStart
/Mabs {
Mgmatrix idtransform
Mtmatrix dtransform
} bind def
/Mabsadd { Mabs
3 -1 roll add
3 1 roll add
exch } bind def
%% Graphics
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10  scalefont  setfont
% Scaling calculations
0.5 0.15873 0.0113979 0.15873 [
[.02381 -0.0011 -6 -9 ]
[.02381 -0.0011 6 0 ]
[.18254 -0.0011 -6 -9 ]
[.18254 -0.0011 6 0 ]
[.34127 -0.0011 -6 -9 ]
[.34127 -0.0011 6 0 ]
[.65873 -0.0011 -3 -9 ]
[.65873 -0.0011 3 0 ]
[.81746 -0.0011 -3 -9 ]
[.81746 -0.0011 3 0 ]
[.97619 -0.0011 -3 -9 ]
[.97619 -0.0011 3 0 ]
[1.025 .0114 0 -6.40625 ]
[1.025 .0114 10.125 6.40625 ]
[.4875 .04314 -18 -4.5 ]
[.4875 .04314 0 4.5 ]
[.4875 .07489 -18 -4.5 ]
[.4875 .07489 0 4.5 ]
[.4875 .10664 -18 -4.5 ]
[.4875 .10664 0 4.5 ]
[.4875 .13838 -18 -4.5 ]
[.4875 .13838 0 4.5 ]
[.4875 .17013 -6 -4.5 ]
[.4875 .17013 0 4.5 ]
[.5 .19756 -5.0625 0 ]
[.5 .19756 5.0625 12.8125 ]
[ 0 0 0 0 ]
[ 1 .17256 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
0 g
.25 Mabswid
[ ] 0 setdash
.02381 .0114 m
.02381 .01765 L
s
[(-3)] .02381 -0.0011 0 1 Mshowa
.18254 .0114 m
.18254 .01765 L
s
[(-2)] .18254 -0.0011 0 1 Mshowa
.34127 .0114 m
.34127 .01765 L
s
[(-1)] .34127 -0.0011 0 1 Mshowa
.65873 .0114 m
.65873 .01765 L
s
[(1)] .65873 -0.0011 0 1 Mshowa
.81746 .0114 m
.81746 .01765 L
s
[(2)] .81746 -0.0011 0 1 Mshowa
.97619 .0114 m
.97619 .01765 L
s
[(3)] .97619 -0.0011 0 1 Mshowa
.125 Mabswid
.05556 .0114 m
.05556 .01515 L
s
.0873 .0114 m
.0873 .01515 L
s
.11905 .0114 m
.11905 .01515 L
s
.15079 .0114 m
.15079 .01515 L
s
.21429 .0114 m
.21429 .01515 L
s
.24603 .0114 m
.24603 .01515 L
s
.27778 .0114 m
.27778 .01515 L
s
.30952 .0114 m
.30952 .01515 L
s
.37302 .0114 m
.37302 .01515 L
s
.40476 .0114 m
.40476 .01515 L
s
.43651 .0114 m
.43651 .01515 L
s
.46825 .0114 m
.46825 .01515 L
s
.53175 .0114 m
.53175 .01515 L
s
.56349 .0114 m
.56349 .01515 L
s
.59524 .0114 m
.59524 .01515 L
s
.62698 .0114 m
.62698 .01515 L
s
.69048 .0114 m
.69048 .01515 L
s
.72222 .0114 m
.72222 .01515 L
s
.75397 .0114 m
.75397 .01515 L
s
.78571 .0114 m
.78571 .01515 L
s
.84921 .0114 m
.84921 .01515 L
s
.88095 .0114 m
.88095 .01515 L
s
.9127 .0114 m
.9127 .01515 L
s
.94444 .0114 m
.94444 .01515 L
s
.25 Mabswid
0 .0114 m
1 .0114 L
s
gsave
1.025 .0114 -61 -10.4063 Mabsadd m
1 1 Mabs scale
currentpoint translate
0 20.8125 translate 1 -1 scale
63.000 13.125 moveto
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10.000 scalefont
[1 0 0 -1 0 0 ] makefont setfont
0.000 0.000 0.000 setrgbcolor
0.000 0.000 rmoveto
63.000 13.125 moveto
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10.000 scalefont
[1 0 0 -1 0 0 ] makefont setfont
0.000 0.000 0.000 setrgbcolor
(x) show
69.125 13.125 moveto
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10.000 scalefont
[1 0 0 -1 0 0 ] makefont setfont
0.000 0.000 0.000 setrgbcolor
0.000 0.000 rmoveto
1.000 setlinewidth
grestore
.5 .04314 m
.50625 .04314 L
s
[(0.2)] .4875 .04314 1 0 Mshowa
.5 .07489 m
.50625 .07489 L
s
[(0.4)] .4875 .07489 1 0 Mshowa
.5 .10664 m
.50625 .10664 L
s
[(0.6)] .4875 .10664 1 0 Mshowa
.5 .13838 m
.50625 .13838 L
s
[(0.8)] .4875 .13838 1 0 Mshowa
.5 .17013 m
.50625 .17013 L
s
[(1)] .4875 .17013 1 0 Mshowa
.125 Mabswid
.5 .01933 m
.50375 .01933 L
s
.5 .02727 m
.50375 .02727 L
s
.5 .03521 m
.50375 .03521 L
s
.5 .05108 m
.50375 .05108 L
s
.5 .05902 m
.50375 .05902 L
s
.5 .06695 m
.50375 .06695 L
s
.5 .08283 m
.50375 .08283 L
s
.5 .09076 m
.50375 .09076 L
s
.5 .0987 m
.50375 .0987 L
s
.5 .11457 m
.50375 .11457 L
s
.5 .12251 m
.50375 .12251 L
s
.5 .13045 m
.50375 .13045 L
s
.5 .14632 m
.50375 .14632 L
s
.5 .15426 m
.50375 .15426 L
s
.5 .16219 m
.50375 .16219 L
s
.5 .00346 m
.50375 .00346 L
s
.25 Mabswid
.5 0 m
.5 .17256 L
s
gsave
.5 .19756 -66.0625 -4 Mabsadd m
1 1 Mabs scale
currentpoint translate
0 20.8125 translate 1 -1 scale
63.000 13.125 moveto
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10.000 scalefont
[1 0 0 -1 0 0 ] makefont setfont
0.000 0.000 0.000 setrgbcolor
0.000 0.000 rmoveto
63.000 13.125 moveto
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10.000 scalefont
[1 0 0 -1 0 0 ] makefont setfont
0.000 0.000 0.000 setrgbcolor
(y) show
69.125 13.125 moveto
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10.000 scalefont
[1 0 0 -1 0 0 ] makefont setfont
0.000 0.000 0.000 setrgbcolor
0.000 0.000 rmoveto
1.000 setlinewidth
grestore
0 0 m
1 0 L
1 .17256 L
0 .17256 L
closepath
clip
newpath
.5 Mabswid
.02381 .01189 m
.02499 .01106 L
.02605 .01046 L
.02729 .00994 L
.02846 .00963 L
.02954 .0095 L
.03053 .00951 L
.03163 .00965 L
.03279 .00993 L
.03395 .01033 L
.0352 .01084 L
.03746 .01187 L
.03876 .01244 L
.04014 .01296 L
.04144 .01333 L
.04262 .01354 L
.04392 .01361 L
.04516 .01352 L
.04585 .0134 L
.04649 .01324 L
.04793 .01276 L
.05038 .01163 L
.05297 .01027 L
.0541 .00973 L
.05531 .00924 L
.05645 .00889 L
.05749 .00869 L
.05871 .00861 L
.0594 .00866 L
.06003 .00875 L
.0612 .00906 L
.06244 .00956 L
.06742 .01276 L
.07003 .0144 L
.07134 .01498 L
.07208 .01521 L
.07277 .01533 L
.07406 .01535 L
.07522 .0151 L
.07587 .01485 L
.07657 .01448 L
.07783 .0136 L
.08025 .01125 L
.08247 .00866 L
.08494 .00596 L
.08565 .00534 L
.08632 .00484 L
.08759 .00423 L
.08831 .00411 L
.08898 .00416 L
Mistroke
.08971 .00442 L
.09049 .00494 L
.09123 .00569 L
.09192 .00663 L
.09321 .00902 L
.0946 .01253 L
.09606 .01728 L
.09868 .02829 L
.10458 .06073 L
.10946 .08726 L
.11186 .09763 L
.11408 .10499 L
.11532 .10812 L
.11664 .11069 L
.11795 .11255 L
.1187 .11332 L
.11941 .11387 L
.12063 .11448 L
.12174 .11473 L
.12297 .11476 L
.12426 .11462 L
.12539 .11444 L
.12646 .1143 L
.12769 .11425 L
.1288 .11435 L
.12986 .11462 L
.13083 .11504 L
.1319 .11571 L
.13303 .11665 L
.13538 .11936 L
.13759 .12264 L
.1426 .13111 L
.14503 .13482 L
.1476 .13803 L
.14894 .13935 L
.15042 .14055 L
.15304 .14211 L
.1578 .14431 L
.16047 .14599 L
.16293 .14817 L
.16515 .15074 L
.16759 .1541 L
.17249 .16145 L
.17474 .1644 L
.17598 .16574 L
.17715 .16679 L
.17824 .16755 L
.17942 .16812 L
.18049 .1684 L
.18148 .16845 L
Mistroke
.18273 .16826 L
.18392 .16782 L
.18498 .16723 L
.18614 .1664 L
.19116 .16135 L
.20022 .15193 L
.22085 .13125 L
.26152 .09094 L
.30067 .05303 L
.32066 .03163 L
.33117 .02241 L
.33691 .01604 L
.33971 .0132 L
.34094 .01215 L
.34227 .01118 L
.34355 .01044 L
.34474 .00994 L
.34587 .00964 L
.34708 .00949 L
.34834 .00954 L
.34952 .00974 L
.35082 .01012 L
.35223 .01065 L
.355 .01191 L
.35652 .01256 L
.35793 .01307 L
.35913 .01338 L
.36042 .01358 L
.36116 .01361 L
.36185 .0136 L
.36315 .01343 L
.36756 .01177 L
.36999 .01049 L
.3723 .00941 L
.3736 .00897 L
.37433 .00879 L
.37501 .00868 L
.37622 .00862 L
.37749 .00875 L
.37881 .00911 L
.38005 .00963 L
.38235 .01099 L
.38482 .01272 L
.38617 .01363 L
.38743 .01437 L
.3885 .01487 L
.38965 .01523 L
.39093 .01538 L
.39209 .01526 L
.39331 .01485 L
Mistroke
.39399 .0145 L
.39463 .0141 L
.39704 .01197 L
.3998 .00882 L
.40115 .00726 L
.40238 .00598 L
.40336 .00514 L
.40444 .00447 L
.40557 .00413 L
.40665 .00421 L
.40782 .00484 L
.40908 .0062 L
.41027 .00818 L
.41134 .01059 L
.41369 .01791 L
.41623 .02875 L
.42084 .05374 L
.42542 .07971 L
.42795 .09197 L
.43034 .10128 L
.43169 .1054 L
.43316 .10894 L
.4345 .11133 L
.43573 .1129 L
.43689 .11389 L
.43818 .11451 L
.43882 .11468 L
.43951 .11476 L
.44077 .11473 L
.44141 .11466 L
.44209 .11456 L
.44333 .11437 L
.44408 .11429 L
.44479 .11425 L
.44543 .11426 L
.44612 .11433 L
.4468 .11446 L
.44754 .1147 L
.44832 .11506 L
.44905 .11549 L
.45036 .11653 L
.45176 .11799 L
.45446 .1217 L
.45702 .12593 L
.46183 .13387 L
.46443 .13732 L
.46687 .13976 L
.46907 .14133 L
.47144 .14256 L
.47401 .14371 L
Mistroke
.47641 .14496 L
.47892 .14678 L
.48167 .14958 L
.4863 .15597 L
.48884 .15983 L
.49125 .16322 L
.49346 .16576 L
.49471 .16687 L
.49586 .16764 L
.49683 .1681 L
.4979 .16839 L
.49902 .16845 L
.50006 .1683 L
.50124 .16788 L
.5025 .16719 L
.50369 .16633 L
.50477 .16539 L
.50992 .15987 L
.52028 .14976 L
.53879 .13069 L
.57881 .09107 L
.61732 .05384 L
.63683 .03267 L
.64718 .02391 L
.65287 .01769 L
.65568 .01465 L
.65828 .01224 L
.65955 .01129 L
.66075 .01057 L
.662 .01001 L
.66266 .00979 L
.66338 .00963 L
.66405 .00953 L
.66479 .00949 L
.66556 .00952 L
.66628 .0096 L
.66756 .00989 L
.66828 .01012 L
.66894 .01035 L
.67139 .01142 L
.674 .01257 L
.67507 .01296 L
.67622 .0133 L
.67748 .01353 L
.67867 .01361 L
.67992 .01354 L
.68112 .01332 L
.68219 .013 L
.68336 .01255 L
.68583 .01135 L
Mistroke
.68846 .00999 L
.68976 .00941 L
.69098 .00899 L
.69208 .00874 L
.69326 .00862 L
.69439 .00867 L
.69559 .0089 L
.6966 .00923 L
.69772 .00974 L
.70023 .01127 L
.70296 .01319 L
.70422 .01399 L
.70554 .01469 L
.70668 .01512 L
.70793 .01536 L
.70914 .01533 L
.71024 .01506 L
.71145 .0145 L
.71273 .01362 L
.71488 .01156 L
.71724 .00884 L
.71853 .00735 L
.71993 .0059 L
.72058 .00533 L
.72126 .00483 L
.72248 .00424 L
.7232 .00411 L
.72387 .00415 L
.72461 .00441 L
.72541 .00494 L
.72612 .00566 L
.7268 .00657 L
.72807 .00889 L
.72929 .01187 L
.73058 .01586 L
.7329 .02506 L
.73815 .05288 L
.74317 .08122 L
.74591 .09414 L
.74847 .10342 L
.74981 .1071 L
.75124 .11014 L
.75206 .11148 L
.75283 .1125 L
.75352 .11323 L
.75428 .11384 L
.75492 .11422 L
.75562 .11451 L
.75636 .11469 L
.75705 .11476 L
Mistroke
.75828 .11473 L
.75898 .11465 L
.75961 .11455 L
.76085 .11436 L
.76154 .11429 L
.76217 .11425 L
.7634 .1143 L
.76456 .11455 L
.76521 .11479 L
.76591 .11512 L
.76715 .11596 L
.76849 .11718 L
.76996 .1189 L
.77467 .12625 L
.77979 .13461 L
.78251 .13802 L
.78371 .13921 L
.78503 .14031 L
.78743 .14184 L
.78999 .14304 L
.79229 .1441 L
.79478 .14555 L
.79713 .14746 L
.79929 .14977 L
.80452 .15713 L
.8074 .16143 L
.81011 .16491 L
.81134 .16617 L
.81265 .16722 L
.81333 .16765 L
.81408 .16801 L
.81539 .16839 L
.81659 .16844 L
.81787 .1682 L
.81909 .1677 L
.82019 .16704 L
.8226 .16505 L
.82483 .16274 L
.82989 .15706 L
.8391 .14865 L
.85979 .12683 L
.89895 .08893 L
.94056 .04742 L
.97619 .01189 L
Mfstroke
% End of Graphics
MathPictureEnd
\
\>"], "Graphics",
  ImageSize->{523, 90.1875},
  ImageMargins->{{0, 0}, {0, 0}},
  ImageRegion->{{0, 1}, {0, 1}},
  ImageCache->GraphicsData["Bitmap", "\<\
CF5dJ6E]HGAYHf4PAg9QL6QYHg<PAVmbKF5d0`40008;0000FR000`400?l00000o`00003oo`3ooooo
0?ooo`d0oooo001L0?ooo`800000<`3oool400000340oooo1@00001T0?ooo`D00000<@3oool40000
03<0oooo0P00001]0?ooo`00F`3oool010000000oooo0?ooo`00000b0?ooo`030000003oool0oooo
03@0oooo00<000000?ooo`3oool0IP3oool00`000000oooo0?ooo`0a0?ooo`030000003oool0oooo
03<0oooo00@000000?ooo`3oool00000K03oool005d0oooo00<000000?ooo`3oool0<P3oool00`00
0000oooo0?ooo`0c0?ooo`030000003oool0oooo06H0oooo00<000000?ooo`3oool0<P3oool00`00
0000oooo0?ooo`0d0?ooo`030000003oool0oooo06/0oooo001E0?ooo`@000001@3oool00`000000
oooo0?ooo`0Z0?ooo`@00000103oool00`000000oooo0?ooo`0Z0?ooo`@00000103oool00`000000
oooo0?ooo`1V0?ooo`030000003oool0oooo03<0oooo00<000000?ooo`3oool0=03oool00`000000
oooo0?ooo`1Z0?ooo`00F`3oool010000000oooo0?ooo`00000b0?ooo`040000003oool0oooo0000
03<0oooo00<000000?ooo`3oool0IP3oool00`000000oooo0?ooo`0a0?ooo`040000003oool0oooo
00000380oooo00@000000?ooo`3oool00000K03oool005`0oooo0P00000d0?ooo`800000<`3oool2
000006L0oooo0P00000d0?ooo`800000=03oool2000006d0oooo003o0?ooool0oooo3@3oool00?l0
ooooo`3oool=0?ooo`00o`3ooooo0?ooo`d0oooo003k0?ooo`030000003oool0oooo0?l0oooo3P3o
ool006l0oooo0P00001Y0?ooo`<000007P3oool2000004T0oooo0`0000320?ooo`00KP3oool01000
0000oooo0?ooo`00001X0?ooo`040000003oool00000000001d0oooo00<000000?ooo`3oool0A`3o
ool2000000030?ooo`000000oooo06D0oooo0P0000000`3oool000000000001G0?ooo`00FP3oool5
000000D0oooo100000050?ooo`8000000P3oool00`000000oooo0?ooo`1B0?ooo`@000001@3oool5
000000D0oooo00D000000?ooo`3oool0oooo0000000M0?ooo`030000003oool0oooo03@0oooo0`00
00060?ooo`@000001P3oool01@000000oooo0?ooo`3oool0000006H0oooo00<000000?ooo`000000
F03oool00580ooooo`00001E000000/0oooo00<000000?ooo`3oool0E`3oool005X0oooo00<00000
0?ooo`3oool01`3oool00`000000oooo0?ooo`020?ooo`@000000P3oool010000000oooo0?ooo`00
00070?ooo`030000003oool0oooo00P0oooo00<000000?ooo`3oool0203oool00`000000oooo0?oo
o`070?ooo`030000003oool0oooo00P0oooo00<000000?ooo`3oool0203oool00`000000oooo0?oo
o`080?ooo`030000003oool0oooo00H0oooo0P00000:0?ooo`030000003oool0oooo0080oooo0`00
00030?ooo`040000003oool0oooo000000L0oooo00<000000?ooo`3oool01`3oool00`000000oooo
0?ooo`080?ooo`030000003oool0oooo00P0oooo00<000000?ooo`3oool0203oool00`000000oooo
0?ooo`080?ooo`030000003oool0oooo00L0oooo00<000000?ooo`3oool01`3oool2000000X0oooo
00<000000?ooo`3oool00P3oool3000000<0oooo00<000000?ooo`0000001`3oool00`000000oooo
0?ooo`080?ooo`030000003oool0oooo00P0oooo00<000000?ooo`3oool0203oool00`000000oooo
0?ooo`070?ooo`030000003oool0oooo00P0oooo00<000000?ooo`3oool0203oool00`000000oooo
0?ooo`070?ooo`8000004@3oool2000000030?ooo`000000000005L0oooo001J0?ooo`030000003o
ool0oooo01D0oooo00<000000?ooo`3oool06`3oool00`000000oooo0?ooo`0`0?ooo`030000003o
ool0000001P0oooo00<000000?ooo`3oool06P3oool200000380oooo00<000000?ooo`0000005`3o
ool00`000000oooo0?ooo`0K0?ooo`030000003oool0oooo0340oooo00<000000?ooo`000000K@3o
ool00780oooo00<000000?ooo`3oool0C@3oool00`000000oooo0?ooo`0I0?ooo`030000003oool0
oooo01X0oooo00<000000?ooo`3oool0<03oool00`000000oooo0?ooo`0I0?ooo`030000003oool0
oooo04d0oooo00<000000?ooo`3oool0KP3oool007<0oooo00<000000?ooo`3oool0B`3oool00`00
0000oooo0?ooo`0K0?ooo`030000003oool0oooo01T0oooo00<000000?ooo`3oool0;`3oool00`00
0000oooo0?ooo`0J0?ooo`030000003oool0oooo04`0oooo00<000000?ooo`3oool0K`3oool007<0
oooo00<000000?ooo`3oool0B@3oool2000001h0oooo00<000000?ooo`3oool06@3oool2000002l0
oooo00<000000?ooo`3oool06`3oool00`000000oooo0?ooo`1;0?ooo`030000003oool0oooo0700
oooo001c0?ooo`030000003oool0oooo04P0oooo00<000000?ooo`3oool07P3oool00`000000oooo
0?ooo`0I0?ooo`030000003oool0oooo02d0oooo00<000000?ooo`3oool0703oool00`000000oooo
0?ooo`1:0?ooo`030000003oool0oooo0740oooo001c0?ooo`030000003oool0oooo04L0oooo00<0
00000?ooo`3oool07`3oool00`000000oooo0?ooo`0I0?ooo`030000003oool0oooo02`0oooo00<0
00000?ooo`3oool07P3oool00`000000oooo0?ooo`180?ooo`030000003oool0oooo0780oooo001d
0?ooo`030000003oool0oooo04D0oooo00<000000?ooo`3oool0803oool00`000000oooo0?ooo`05
0?ooo`800000103oool2000000<0oooo100000050?ooo`800000;03oool00`000000oooo0?ooo`0O
0?ooo`030000003oool0oooo04L0oooo00<000000?ooo`3oool0L`3oool007@0oooo00<000000?oo
o`3oool0A@3oool00`000000oooo0?ooo`0P0?ooo`030000003oool0oooo00@0oooo00@000000?oo
o`3oool00000203oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo02X0oooo00<00000
0?ooo`3oool0803oool00`000000oooo0?ooo`160?ooo`030000003oool0oooo07@0oooo001d0?oo
o`030000003oool0oooo04@0oooo00<000000?ooo`3oool08P3oool00`000000oooo0?ooo`030?oo
o`040000003oool0oooo000000T0oooo00<000000?ooo`3oool01@3oool3000002T0oooo00<00000
0?ooo`3oool08@3oool00`000000oooo0?ooo`150?ooo`030000003oool0oooo07D0oooo001d0?oo
o`030000003oool0oooo04<0oooo00<000000?ooo`3oool08`3oool00`000000oooo0?ooo`030?oo
o`040000003oool0oooo000000X0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`0X
0?ooo`030000003oool0oooo0280oooo00<000000?ooo`3oool0A03oool00`000000oooo0?ooo`1f
0?ooo`00M03oool00`000000oooo0?ooo`120?ooo`030000003oool0oooo02@0oooo00<000000?oo
o`3oool00`3oool010000000oooo0?ooo`0000080?ooo`040000003oool0oooo000000D0oooo00<0
00000?ooo`3oool09`3oool00`000000oooo0?ooo`0T0?ooo`030000003oool0oooo0480oooo00<0
00000?ooo`3oool0M`3oool007@0oooo00<000000?ooo`3oool0@P3oool00`000000oooo0?ooo`0T
0?ooo`030000003oool0oooo00@0oooo0P00000:0?ooo`8000001P3oool2000002L0oooo00<00000
0?ooo`3oool09@3oool00`000000oooo0?ooo`110?ooo`030000003oool0oooo07P0oooo001e0?oo
o`030000003oool0oooo0400oooo00<000000?ooo`3oool09@3oool00`000000oooo0?ooo`0H0?oo
o`030000003oool0oooo02D0oooo00<000000?ooo`3oool09P3oool00`000000oooo0?ooo`100?oo
o`030000003oool0oooo07T0oooo001e0?ooo`030000003oool0oooo03l0oooo00<000000?ooo`3o
ool09P3oool00`000000oooo0?ooo`0H0?ooo`030000003oool0oooo02@0oooo00<000000?ooo`3o
ool09`3oool00`000000oooo0?ooo`0o0?ooo`030000003oool0oooo07X0oooo001e0?ooo`030000
003oool0oooo03h0oooo00<000000?ooo`3oool09`3oool00`000000oooo0?ooo`0H0?ooo`800000
903oool00`000000oooo0?ooo`0X0?ooo`030000003oool0oooo03h0oooo00<000000?ooo`3oool0
N`3oool007D0oooo00<000000?ooo`3oool0?@3oool00`000000oooo0?ooo`0Y0?ooo`030000003o
ool0oooo01L0oooo00<000000?ooo`3oool08P3oool00`000000oooo0?ooo`0Z0?ooo`030000003o
ool0oooo03`0oooo00<000000?ooo`3oool0O03oool007D0oooo00<000000?ooo`3oool0?03oool0
0`000000oooo0?ooo`0Z0?ooo`030000003oool0oooo01L0oooo0P00000R0?ooo`030000003oool0
oooo02/0oooo00<000000?ooo`3oool0>`3oool00`000000oooo0?ooo`1m0?ooo`00MP3oool00`00
0000oooo0?ooo`0j0?ooo`030000003oool0oooo02/0oooo00<000000?ooo`3oool00`3oool20000
00@0oooo0P0000050?ooo`<00000103oool00`000000oooo0?ooo`0P0?ooo`030000003oool0oooo
02`0oooo00<000000?ooo`3oool0>P3oool00`000000oooo0?ooo`1n0?ooo`00MP3oool00`000000
oooo0?ooo`0i0?ooo`030000003oool0oooo02`0oooo00<000000?ooo`3oool00P3oool010000000
oooo0?ooo`00000;0?ooo`030000003oool0oooo00<0oooo00<000000?ooo`3oool07`3oool00`00
0000oooo0?ooo`0]0?ooo`030000003oool0oooo03T0oooo00<000000?ooo`3oool0O`3oool007H0
oooo00<000000?ooo`3oool0=`3oool200000300oooo00D000000?ooo`3oool0oooo000000020?oo
o`030000003oool0oooo00H0oooo1@0000040?ooo`<000007P3oool00`000000oooo0?ooo`0_0?oo
o`030000003oool0oooo03L0oooo00<000000?ooo`3oool0P03oool007H0oooo00<000000?ooo`3o
ool0=P3oool00`000000oooo0?ooo`0`0?ooo`050000003oool0oooo0?ooo`0000000P3oool00`00
0000oooo0?ooo`060?ooo`040000003oool0oooo000000D0oooo00<000000?ooo`3oool07@3oool0
0`000000oooo0?ooo`0`0?ooo`030000003oool0oooo03H0oooo00<000000?ooo`3oool0P@3oool0
07L0oooo00<000000?ooo`3oool0=03oool00`000000oooo0?ooo`0a0?ooo`050000003oool0oooo
0?ooo`0000000P3oool00`000000oooo0?ooo`070?ooo`030000003oool0000000D0oooo00<00000
0?ooo`3oool0703oool00`000000oooo0?ooo`0a0?ooo`030000003oool0oooo03D0oooo00<00000
0?ooo`3oool0PP3oool007L0oooo00<000000?ooo`3oool0<`3oool00`000000oooo0?ooo`0b0?oo
o`030000003oool0oooo0080oooo0P00000;0?ooo`8000001@3oool2000001`0oooo00<000000?oo
o`3oool0<P3oool00`000000oooo0?ooo`0d0?ooo`030000003oool0oooo08<0oooo001g0?ooo`03
0000003oool0oooo0380oooo00<000000?ooo`3oool0<`3oool00`000000oooo0?ooo`0F0?ooo`03
0000003oool0oooo01X0oooo00<000000?ooo`3oool0<`3oool00`000000oooo0?ooo`0c0?ooo`03
0000003oool0oooo08@0oooo001g0?ooo`030000003oool0oooo0340oooo00<000000?ooo`3oool0
=@3oool00`000000oooo0?ooo`0E0?ooo`8000006P3oool00`000000oooo0?ooo`0e0?ooo`030000
003oool0oooo0340oooo00<000000?ooo`3oool0Q@3oool007L0oooo00<000000?ooo`3oool0<03o
ool00`000000oooo0?ooo`0f0?ooo`030000003oool0oooo01D0oooo00<000000?ooo`3oool0603o
ool00`000000oooo0?ooo`0f0?ooo`030000003oool0oooo0300oooo00<000000?ooo`3oool0QP3o
ool007P0oooo00<000000?ooo`3oool0;P3oool00`000000oooo0?ooo`0g0?ooo`030000003oool0
oooo01D0oooo00<000000?ooo`3oool05`3oool00`000000oooo0?ooo`0g0?ooo`030000003oool0
oooo02l0oooo00<000000?ooo`3oool0Q`3oool007P0oooo00<000000?ooo`3oool0;@3oool00`00
0000oooo0?ooo`0i0?ooo`030000003oool0oooo01@0oooo0P00000G0?ooo`030000003oool0oooo
03P0oooo00<000000?ooo`3oool0;P3oool00`000000oooo0?ooo`280?ooo`00N03oool00`000000
oooo0?ooo`0/0?ooo`030000003oool0oooo03X0oooo00<000000?ooo`3oool00P0000040?ooo`80
00000`3oool3000000H0oooo00<000000?ooo`3oool05@3oool00`000000oooo0?ooo`0i0?ooo`03
0000003oool0oooo02d0oooo00<000000?ooo`3oool0R@3oool007P0oooo00<000000?ooo`3oool0
:`3oool00`000000oooo0?ooo`0k0?ooo`030000003oool000000080oooo00<000000?ooo`3oool0
1P3oool010000000oooo0?ooo`0000050?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3o
ool0>P3oool00`000000oooo0?ooo`0/0?ooo`030000003oool0oooo08X0oooo001i0?ooo`030000
003oool0oooo02T0oooo00<000000?ooo`3oool0?03oool00`000000oooo000000020?ooo`030000
003oool0oooo00H0oooo00@000000?ooo`3oool000001@3oool3000001<0oooo00<000000?ooo`3o
ool0?03oool00`000000oooo0?ooo`0Z0?ooo`030000003oool0oooo08/0oooo001i0?ooo`030000
003oool0oooo02P0oooo00<000000?ooo`3oool0?P3oool200000080oooo00<000000?ooo`3oool0
1P3oool3000000H0oooo00<000000?ooo`3oool04P3oool00`000000oooo0?ooo`0m0?ooo`800000
:@3oool2000008h0oooo001j0?ooo`040000003oool00000000002D0oooo00<000000?ooo`3oool0
?`3oool2000000030?ooo`000000000000T0oooo00<000000?ooo`3oool01@3oool00`000000oooo
0?ooo`0@0?ooo`800000@@3oool2000000030?ooo`000000000002@0oooo00<000000?ooo`3oool0
SP3oool007/0oooo0P0000000`3oool000000000000R0?ooo`030000003oool0oooo0440oooo1@00
00080?ooo`<000001@3oool200000100oooo00<000000?ooo`3oool0@P3oool2000000030?ooo`00
000000000280oooo00<000000?ooo`3oool0S`3oool00800oooo00<000000?ooo`3oool07P3oool0
0`000000oooo0?ooo`170?ooo`030000003oool0oooo00d0oooo00<000000?ooo`3oool03P3oool0
0`000000oooo0?ooo`180?ooo`030000003oool0oooo01h0oooo00<000000?ooo`3oool0T03oool0
0800oooo00<000000?ooo`3oool07@3oool00`000000oooo0?ooo`190?ooo`030000003oool0oooo
00`0oooo0P00000>0?ooo`030000003oool0oooo04T0oooo00<000000?ooo`3oool07@3oool00`00
0000oooo0?ooo`2A0?ooo`00P@3oool00`000000oooo0?ooo`0K0?ooo`030000003oool0oooo04/0
oooo00<000000?ooo`3oool02`3oool00`000000oooo0?ooo`0<0?ooo`030000003oool0oooo04/0
oooo00<000000?ooo`3oool06`3oool00`000000oooo0?ooo`2B0?ooo`00P@3oool00`000000oooo
0?ooo`0J0?ooo`030000003oool0oooo04`0oooo00<000000?ooo`3oool02`3oool00`000000oooo
0?ooo`0;0?ooo`030000003oool0oooo04`0oooo00<000000?ooo`3oool06P3oool00`000000oooo
0?ooo`2C0?ooo`00PP3oool00`000000oooo0?ooo`0H0?ooo`030000003oool0oooo04h0oooo00<0
00000?ooo`3oool02P3oool2000000/0oooo00<000000?ooo`3oool0CP3oool00`000000oooo0?oo
o`0H0?ooo`030000003oool0oooo09@0oooo00230?ooo`030000003oool0oooo01H0oooo00<00000
0?ooo`3oool0B03oool2000000@0oooo0P0000040?ooo`8000001P3oool00`000000oooo0?ooo`09
0?ooo`030000003oool0oooo0500oooo00<000000?ooo`3oool05P3oool00`000000oooo0?ooo`2E
0?ooo`00Q03oool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo04P0oooo00@000000?oo
o`3oool000001@3oool010000000oooo0?ooo`0000020?ooo`030000003oool0oooo00<0oooo00<0
00000?ooo`3oool0203oool00`000000oooo0?ooo`1B0?ooo`030000003oool0oooo01@0oooo00<0
00000?ooo`3oool0UP3oool008@0oooo0P00000D0?ooo`030000003oool0oooo04T0oooo00@00000
0?ooo`3oool000001P3oool00`000000oooo000000020?ooo`030000003oool0oooo00<0oooo0`00
00070?ooo`030000003oool0oooo05<0oooo0P00000D0?ooo`030000003oool0oooo09L0oooo0026
0?ooo`030000003oool0oooo0100oooo00<000000?ooo`3oool0BP3oool010000000oooo0?ooo`00
00070?ooo`@000001P3oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo05H0oooo0P00
000A0?ooo`030000003oool0oooo09P0oooo00270?ooo`8000003`3oool00`000000oooo0?ooo`1;
0?ooo`040000003oool0oooo000000P0oooo100000050?ooo`8000001P3oool00`000000oooo0?oo
o`1H0?ooo`8000003`3oool00`000000oooo0?ooo`2I0?ooo`00R@3oool00`000000oooo0?ooo`0;
0?ooo`030000003oool0oooo04d0oooo0P00000:0?ooo`<000001@3oool00`000000oooo0?ooo`04
0?ooo`030000003oool0oooo05/0oooo0P00000<0?ooo`030000003oool0oooo09X0oooo002:0?oo
o`030000003oool0oooo00T0oooo00<000000?ooo`3oool0G@3oool00`000000oooo0?ooo`020?oo
o`030000003oool0oooo00<0oooo00<000000?ooo`3oool0G@3oool00`000000oooo0?ooo`090?oo
o`030000003oool0oooo09/0oooo002:0?ooo`030000003oool0oooo00P0oooo00<000000?ooo`3o
ool0GP3oool00`000000oooo0?ooo`020?ooo`8000000`3oool00`000000oooo0?ooo`1O0?ooo`03
0000003oool0oooo00L0oooo00<000000?ooo`3oool0W03oool008/0oooo00<000000?ooo`3oool0
1@3oool200000680oooo00D000000?ooo`3oool0oooo000000040?ooo`030000003oool0oooo05l0
oooo00<000000?ooo`3oool01P3oool00`000000oooo0?ooo`2M0?ooo`00S03oool00`000000oooo
0?ooo`030?ooo`030000003oool0oooo0680oooo00D000000?ooo`3oool0oooo000000030?ooo`03
0000003oool0oooo0640oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`2N0?ooo`00
S@3oool01@000000oooo0?ooo`3oool000000600oooo1@000000103oool000000?ooo`3oool20000
00030?ooo`000000oooo06<0oooo00<000000?ooo`3oool00`3oool00`000000oooo0?ooo`2O0?oo
o`00S@3oool2000000030?ooo`00000000000680oooo00<000000?ooo`3oool00P3oool00`000000
oooo00000002000006H0oooo0P0000020?ooo`800000X@3oool008h0oooo0`00001S0?ooo`030000
003oool0oooo00<0oooo1000001W0?ooo`<00000X`3oool00?@0oooo00<000000?ooo`3oool0103o
ool00`000000oooo0?ooo`3o0?ooo`h0oooo003d0?ooo`030000003oool0oooo0?l0oooo5@3oool0
0?<0oooo0P00003o0?oooaL0oooo003o0?ooool0oooo3@3oool00?l0ooooo`3oool=0?ooo`00o`3o
oooo0?ooo`d0oooo003o0?ooool0oooo3@3oool00?l0ooooo`3oool=0?ooo`00o`3ooooo0?ooo`d0
oooo003o0?ooool0oooo3@3oool00?l0ooooo`3oool=0?ooo`00n@3oool200000?l0oooo4@3oool0
0?X0oooo00<000000?ooo`3oool0o`3oool?0?ooo`00n`3oool00`000000oooo0?ooo`3o0?ooo`h0
oooo003j0?ooo`030000003oool000000?l0oooo3`3oool00?T0oooo00@000000?ooo`3oool00000
o`3oool?0?ooo`00n03oool3000000030?ooo`00000000000?l0oooo3P3oool00?l0ooooo`3oool=
0?ooo`00o`3ooooo0?ooo`d0oooo003o0?ooool0oooo3@3oool00?l0ooooo`3oool=0?ooo`00o`3o
oooo0?ooo`d0oooo0000\
\>"],
  ImageRangeCache->{{{93.625, 511}, {515.625, 444.5}} -> {-6.87601, 10.118, \
0.0186541, 0.0186541}}]
}, Open  ]],

Cell["", "Input",
  FontVariations->{"CompatibilityType"->0}],

Cell[BoxData[
    RowBox[{\((3)\), "  ", 
      TagBox[
        StyleBox[
          RowBox[{"{", 
            StyleBox[GridBox[{
                  {\(\(\ \ \ \ \ \ \ \ \ \)\(0, \ \ \ \ \ \ \ \ \(-2\) < 
                      x < \(-1\)\)\)},
                  {\(\(\(1\)\(-\)\) | x | , \ \ \ \(-1\) \[LessEqual] 
                      x \[LessEqual] 1\)}
                  }],
              ShowAutoStyles->True]}],
          ShowAutoStyles->False],
        (#&)], "    "}]], "Input",
  Background->RGBColor[0.644541, 0.957046, 0.898451],
  FontVariations->{"CompatibilityType"->0}],

Cell[CellGroupData[{

Cell[BoxData[
    \(f3 = 
      NFourierTrigSeries[If[\(-1\) < x < 1, 1 - Abs[x], 0], x, 
          4, \[IndentingNewLine]FourierParameters \[Rule] {\(-1\), 1\/3}, 
          AccuracyGoal \[Rule] 4, PrecisionGoal \[Rule] 4] // 
        Simplify\)], "Input",
  FontVariations->{"CompatibilityType"->0}],

Cell[BoxData[
    \(\(\(0.33333268468083904`\)\(\[InvisibleSpace]\)\) + 
      0.4559472167332827`\ Cos[\(2\ \[Pi]\ x\)\/3] + 
      0.11398742158280613`\ Cos[\(4\ \[Pi]\ x\)\/3] - 
      1.2994282229603082`*^-6\ Cos[2\ \[Pi]\ x] + 
      0.028496927367364894`\ Cos[\(8\ \[Pi]\ x\)\/3] + 
      0.`\ Sin[\(2\ \[Pi]\ x\)\/3] + 0.`\ Sin[\(4\ \[Pi]\ x\)\/3] + 
      0.`\ Sin[2\ \[Pi]\ x] + 0.`\ Sin[\(8\ \[Pi]\ x\)\/3]\)], "Output"]
}, Open  ]],

Cell[CellGroupData[{

Cell["Plot[f3,{x,-4,4},AxesLabel->{\"x\",\"y\"},AspectRatio->0.2];", "Input",
  FontVariations->{"CompatibilityType"->0}],

Cell[GraphicsData["PostScript", "\<\
%!
%%Creator: Mathematica
%%AspectRatio: .2 
MathPictureStart
/Mabs {
Mgmatrix idtransform
Mtmatrix dtransform
} bind def
/Mabsadd { Mabs
3 -1 roll add
3 1 roll add
exch } bind def
%% Graphics
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10  scalefont  setfont
% Scaling calculations
0.5 0.119048 0.00946178 0.199383 [
[.02381 -0.00304 -6 -9 ]
[.02381 -0.00304 6 0 ]
[.2619 -0.00304 -6 -9 ]
[.2619 -0.00304 6 0 ]
[.7381 -0.00304 -3 -9 ]
[.7381 -0.00304 3 0 ]
[.97619 -0.00304 -3 -9 ]
[.97619 -0.00304 3 0 ]
[1.025 .00946 0 -6.40625 ]
[1.025 .00946 10.125 6.40625 ]
[.4875 .04934 -18 -4.5 ]
[.4875 .04934 0 4.5 ]
[.4875 .08922 -18 -4.5 ]
[.4875 .08922 0 4.5 ]
[.4875 .12909 -18 -4.5 ]
[.4875 .12909 0 4.5 ]
[.4875 .16897 -18 -4.5 ]
[.4875 .16897 0 4.5 ]
[.5 .225 -5.0625 0 ]
[.5 .225 5.0625 12.8125 ]
[ 0 0 0 0 ]
[ 1 .2 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
0 g
.25 Mabswid
[ ] 0 setdash
.02381 .00946 m
.02381 .01571 L
s
[(-4)] .02381 -0.00304 0 1 Mshowa
.2619 .00946 m
.2619 .01571 L
s
[(-2)] .2619 -0.00304 0 1 Mshowa
.7381 .00946 m
.7381 .01571 L
s
[(2)] .7381 -0.00304 0 1 Mshowa
.97619 .00946 m
.97619 .01571 L
s
[(4)] .97619 -0.00304 0 1 Mshowa
.125 Mabswid
.08333 .00946 m
.08333 .01321 L
s
.14286 .00946 m
.14286 .01321 L
s
.20238 .00946 m
.20238 .01321 L
s
.32143 .00946 m
.32143 .01321 L
s
.38095 .00946 m
.38095 .01321 L
s
.44048 .00946 m
.44048 .01321 L
s
.55952 .00946 m
.55952 .01321 L
s
.61905 .00946 m
.61905 .01321 L
s
.67857 .00946 m
.67857 .01321 L
s
.79762 .00946 m
.79762 .01321 L
s
.85714 .00946 m
.85714 .01321 L
s
.91667 .00946 m
.91667 .01321 L
s
.25 Mabswid
0 .00946 m
1 .00946 L
s
gsave
1.025 .00946 -61 -10.4063 Mabsadd m
1 1 Mabs scale
currentpoint translate
0 20.8125 translate 1 -1 scale
63.000 13.125 moveto
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10.000 scalefont
[1 0 0 -1 0 0 ] makefont setfont
0.000 0.000 0.000 setrgbcolor
0.000 0.000 rmoveto
63.000 13.125 moveto
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10.000 scalefont
[1 0 0 -1 0 0 ] makefont setfont
0.000 0.000 0.000 setrgbcolor
(x) show
69.125 13.125 moveto
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10.000 scalefont
[1 0 0 -1 0 0 ] makefont setfont
0.000 0.000 0.000 setrgbcolor
0.000 0.000 rmoveto
1.000 setlinewidth
grestore
.5 .04934 m
.50625 .04934 L
s
[(0.2)] .4875 .04934 1 0 Mshowa
.5 .08922 m
.50625 .08922 L
s
[(0.4)] .4875 .08922 1 0 Mshowa
.5 .12909 m
.50625 .12909 L
s
[(0.6)] .4875 .12909 1 0 Mshowa
.5 .16897 m
.50625 .16897 L
s
[(0.8)] .4875 .16897 1 0 Mshowa
.125 Mabswid
.5 .01943 m
.50375 .01943 L
s
.5 .0294 m
.50375 .0294 L
s
.5 .03937 m
.50375 .03937 L
s
.5 .05931 m
.50375 .05931 L
s
.5 .06928 m
.50375 .06928 L
s
.5 .07925 m
.50375 .07925 L
s
.5 .09918 m
.50375 .09918 L
s
.5 .10915 m
.50375 .10915 L
s
.5 .11912 m
.50375 .11912 L
s
.5 .13906 m
.50375 .13906 L
s
.5 .14903 m
.50375 .14903 L
s
.5 .159 m
.50375 .159 L
s
.5 .17894 m
.50375 .17894 L
s
.5 .18891 m
.50375 .18891 L
s
.5 .19888 m
.50375 .19888 L
s
.25 Mabswid
.5 0 m
.5 .2 L
s
gsave
.5 .225 -66.0625 -4 Mabsadd m
1 1 Mabs scale
currentpoint translate
0 20.8125 translate 1 -1 scale
63.000 13.125 moveto
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10.000 scalefont
[1 0 0 -1 0 0 ] makefont setfont
0.000 0.000 0.000 setrgbcolor
0.000 0.000 rmoveto
63.000 13.125 moveto
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10.000 scalefont
[1 0 0 -1 0 0 ] makefont setfont
0.000 0.000 0.000 setrgbcolor
(y) show
69.125 13.125 moveto
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10.000 scalefont
[1 0 0 -1 0 0 ] makefont setfont
0.000 0.000 0.000 setrgbcolor
0.000 0.000 rmoveto
1.000 setlinewidth
grestore
0 0 m
1 0 L
1 .2 L
0 .2 L
closepath
clip
newpath
.5 Mabswid
.02381 .01626 m
.06244 .07304 L
.08255 .10583 L
.10458 .14691 L
.11448 .16569 L
.11992 .175 L
.12507 .18261 L
.12986 .18832 L
.13238 .1907 L
.13506 .1927 L
.13731 .19395 L
.13859 .19447 L
.13979 .19484 L
.14089 .19508 L
.14189 .1952 L
.14305 .19524 L
.14415 .19517 L
.1454 .19497 L
.1461 .1948 L
.14674 .1946 L
.14793 .19416 L
.14918 .19356 L
.15135 .19223 L
.15374 .19035 L
.15902 .18471 L
.16396 .17787 L
.18234 .14455 L
.22125 .07625 L
.24106 .04469 L
.25151 .02906 L
.25724 .02155 L
.26261 .01554 L
.26735 .01127 L
.27245 .00785 L
.27521 .00654 L
.27672 .00598 L
.27812 .00556 L
.27932 .00527 L
.2806 .00504 L
.28133 .00494 L
.28202 .00486 L
.28331 .00478 L
.28442 .00476 L
.28563 .0048 L
.2869 .00489 L
.28809 .00503 L
.2892 .00521 L
.29022 .0054 L
.2925 .00592 L
.29761 .00748 L
Mistroke
.30246 .00921 L
.30741 .01092 L
.31207 .01224 L
.31465 .01279 L
.31611 .01303 L
.31744 .0132 L
.31857 .01331 L
.31981 .01339 L
.3211 .01342 L
.3223 .01341 L
.32345 .01337 L
.32469 .01327 L
.32587 .01315 L
.32696 .013 L
.32901 .01264 L
.33119 .01214 L
.3407 .0091 L
.34528 .00747 L
.3501 .00599 L
.35262 .0054 L
.35405 .00514 L
.35474 .00504 L
.35538 .00496 L
.35661 .00484 L
.35772 .00478 L
.35892 .00476 L
.36022 .00481 L
.36136 .00492 L
.36242 .00506 L
.36359 .00528 L
.36484 .00559 L
.3674 .00644 L
.36974 .0075 L
.37424 .0103 L
.37851 .01385 L
.38815 .02474 L
.39839 .03942 L
.4168 .06861 L
.45452 .13292 L
.46472 .15274 L
.47547 .17239 L
.47991 .17938 L
.48465 .1857 L
.48737 .1887 L
.48985 .19097 L
.49234 .19279 L
.49356 .1935 L
.49469 .19406 L
.49586 .19452 L
.49692 .19484 L
Mistroke
.4981 .19509 L
.49938 .19522 L
.50059 .19522 L
.50128 .19517 L
.50192 .19508 L
.50309 .19484 L
.50434 .19445 L
.50549 .19397 L
.50674 .19334 L
.509 .19187 L
.51323 .18808 L
.51833 .18188 L
.52371 .17374 L
.53335 .15644 L
.57134 .08753 L
.5925 .05374 L
.61179 .02483 L
.62137 .01397 L
.62399 .01167 L
.62678 .00958 L
.62919 .00808 L
.63178 .00678 L
.6342 .00587 L
.63526 .00556 L
.63642 .00528 L
.63753 .00507 L
.63855 .00493 L
.63963 .00483 L
.64078 .00477 L
.64207 .00477 L
.64279 .0048 L
.64346 .00484 L
.64469 .00496 L
.64599 .00515 L
.64824 .00558 L
.65071 .00621 L
.6607 .0096 L
.66562 .01125 L
.67018 .01247 L
.67271 .01295 L
.67412 .01315 L
.6754 .01328 L
.67614 .01334 L
.67681 .01338 L
.67756 .01341 L
.67834 .01342 L
.67966 .01341 L
.6804 .01338 L
.6811 .01333 L
.68239 .01322 L
Mistroke
.68362 .01307 L
.68592 .01268 L
.68839 .01213 L
.69107 .01139 L
.70131 .00786 L
.70632 .00624 L
.70851 .00568 L
.7109 .00519 L
.71218 .005 L
.71337 .00487 L
.71451 .00479 L
.71572 .00476 L
.71639 .00477 L
.71712 .0048 L
.71844 .00491 L
.71972 .00509 L
.72091 .00532 L
.72223 .00565 L
.72346 .00604 L
.72626 .0072 L
.729 .00869 L
.73193 .0107 L
.73721 .01536 L
.74209 .02074 L
.75316 .03582 L
.77328 .06754 L
.81253 .13458 L
.82212 .15323 L
.83221 .17172 L
.84084 .18454 L
.8432 .18731 L
.84572 .18986 L
.84809 .19183 L
.85027 .19326 L
.85146 .19388 L
.85277 .19443 L
.85408 .19485 L
.8548 .19501 L
.85548 .19512 L
.85672 .19523 L
.85785 .19522 L
.85916 .19507 L
.8604 .19479 L
.86151 .19444 L
.86268 .19395 L
.8648 .19279 L
.86732 .19095 L
.86961 .18886 L
.87477 .18283 L
.88035 .17457 L
Mistroke
.89046 .15651 L
.9315 .08268 L
.97103 .02215 L
.97619 .01626 L
Mfstroke
% End of Graphics
MathPictureEnd
\
\>"], "Graphics",
  ImageSize->{504.063, 100.813},
  ImageMargins->{{14, 0}, {0, 0}},
  ImageRegion->{{0, 1}, {0, 1}},
  ImageCache->GraphicsData["Bitmap", "\<\
CF5dJ6E]HGAYHf4PAg9QL6QYHg<PAVmbKF5d0`40007h0000I2000`400?l00000o`00003oo`3ooooi
0?ooo`00DP3oool3000004`0oooo1000002L0?ooo`@00000D03oool300000600oooo001C0?ooo`03
0000003oool0oooo04/0oooo00<000000?ooo`3oool0W@3oool00`000000oooo0?ooo`1B0?ooo`03
0000003oool0oooo05l0oooo001@0?ooo`D00000C@3oool00`000000oooo0?ooo`2M0?ooo`030000
003oool0oooo04h0oooo1@00001P0?ooo`00BP3oool400000080oooo00@000000?ooo`3oool00000
A`3oool4000000@0oooo00<000000?ooo`3oool0W@3oool00`000000oooo0?ooo`1=0?ooo`040000
003oool0oooo00000640oooo001A0?ooo`030000003oool0000004d0oooo00@000000?ooo`3oool0
0000W03oool010000000oooo0?ooo`00001?0?ooo`030000003oool000000640oooo001B0?ooo`80
0000CP3oool2000009h0oooo0P00001A0?ooo`800000H@3oool00?l0oooon@3oool00?l0oooon@3o
ool00?l0oooon@3oool00?80oooo00<000000?ooo`3oool0o`3oool40?ooo`00Y`3oool3000001H0
oooo1000000^0?ooo`030000003oool0oooo02`0oooo1000000E0?ooo`@00000J@3oool200000003
0?ooo`000000000004`0oooo002T0?ooo`<000000`3oool300000100oooo0`0000030?ooo`<00000
;03oool00`000000oooo0?ooo`0Y0?ooo`<000000`3oool300000100oooo100000020?ooo`<00000
J03oool00`000000oooo0000001=0?ooo`00A`3ooooo000005P000002`3oool00`000000oooo0?oo
o`1<0?ooo`00C`3oool00`000000oooo0?ooo`0A0?ooo`030000003oool0oooo0180oooo00<00000
0?ooo`3oool04@3oool00`000000oooo0?ooo`0A0?ooo`030000003oool0000000h0oooo2@00000>
0?ooo`8000004`3oool00`000000oooo0?ooo`0B0?ooo`030000003oool0oooo0140oooo00<00000
0?ooo`3oool04@3oool00`000000oooo0000000=0?ooo`/000003@3oool2000001<0oooo00<00000
0?ooo`3oool04P3oool00`000000oooo0?ooo`0A0?ooo`030000003oool0oooo0180oooo00<00000
0?ooo`3oool03`3oool2000000030?ooo`000000000004`0oooo001?0?ooo`030000003oool0oooo
04h0oooo0P00000W0?ooo`030000003oool0oooo02H0oooo00<000000?ooo`3oool09P3oool00`00
0000oooo0?ooo`0U0?ooo`030000003oool0oooo04l0oooo00<000000?ooo`3oool0H03oool00500
oooo00<000000?ooo`3oool0C03oool00`000000oooo0?ooo`0W0?ooo`030000003oool0oooo02H0
oooo0P00000V0?ooo`030000003oool0oooo02L0oooo00<000000?ooo`3oool0C@3oool00`000000
oooo0?ooo`1Q0?ooo`00D03oool00`000000oooo0?ooo`1<0?ooo`030000003oool0oooo02P0oooo
00<000000?ooo`3oool09@3oool00`000000oooo0?ooo`0T0?ooo`030000003oool0oooo02T0oooo
00<000000?ooo`3oool0B`3oool00`000000oooo0?ooo`1R0?ooo`00D@3oool00`000000oooo0?oo
o`1:0?ooo`030000003oool0oooo02X0oooo00<000000?ooo`3oool0903oool00`000000oooo0?oo
o`0S0?ooo`030000003oool0oooo02/0oooo00<000000?ooo`3oool0B@3oool00`000000oooo0?oo
o`1S0?ooo`00DP3oool00`000000oooo0?ooo`190?ooo`030000003oool0oooo02/0oooo00<00000
0?ooo`3oool08`3oool00`000000oooo0?ooo`0R0?ooo`030000003oool0oooo02`0oooo00<00000
0?ooo`3oool0B@3oool00`000000oooo0?ooo`1S0?ooo`00DP3oool00`000000oooo0?ooo`180?oo
o`030000003oool0oooo02d0oooo00<000000?ooo`3oool08P3oool2000002<0oooo00<000000?oo
o`3oool0;@3oool00`000000oooo0?ooo`170?ooo`030000003oool0oooo06@0oooo001C0?ooo`03
0000003oool0oooo04H0oooo00<000000?ooo`3oool0;P3oool00`000000oooo0?ooo`0R0?ooo`03
0000003oool0oooo0240oooo00<000000?ooo`3oool0;P3oool00`000000oooo0?ooo`160?ooo`03
0000003oool0oooo06D0oooo001D0?ooo`030000003oool0oooo04@0oooo00<000000?ooo`3oool0
<03oool00`000000oooo0?ooo`0Q0?ooo`030000003oool0oooo0200oooo00<000000?ooo`3oool0
<03oool00`000000oooo0?ooo`150?ooo`030000003oool0oooo06D0oooo001D0?ooo`030000003o
ool0oooo04@0oooo00<000000?ooo`3oool0<@3oool00`000000oooo0?ooo`0P0?ooo`800000803o
ool00`000000oooo0?ooo`0b0?ooo`030000003oool0oooo04<0oooo00<000000?ooo`3oool0IP3o
ool005D0oooo00<000000?ooo`3oool0@P3oool00`000000oooo0?ooo`0c0?ooo`030000003oool0
oooo01l0oooo00<000000?ooo`3oool07`3oool00`000000oooo0?ooo`0b0?ooo`030000003oool0
oooo0480oooo00<000000?ooo`3oool0I`3oool005D0oooo00<000000?ooo`3oool0@@3oool00`00
0000oooo0?ooo`0d0?ooo`030000003oool0oooo00X0oooo0P0000040?ooo`8000000`3oool40000
00H0oooo00<000000?ooo`3oool07P3oool00`000000oooo0?ooo`0d0?ooo`030000003oool0oooo
0440oooo00<000000?ooo`3oool0I`3oool005H0oooo00<000000?ooo`3oool0?`3oool00`000000
oooo0?ooo`0f0?ooo`030000003oool0oooo00P0oooo00@000000?ooo`3oool00000203oool00`00
0000oooo0?ooo`070?ooo`030000003oool0oooo01d0oooo00<000000?ooo`3oool0=P3oool00`00
0000oooo0?ooo`0o0?ooo`030000003oool0oooo06P0oooo001G0?ooo`030000003oool0oooo03h0
oooo00<000000?ooo`3oool0=P3oool00`000000oooo0?ooo`080?ooo`040000003oool0oooo0000
00T0oooo00<000000?ooo`3oool01P3oool3000001d0oooo00<000000?ooo`3oool0=P3oool00`00
0000oooo0?ooo`0n0?ooo`030000003oool0oooo06T0oooo001G0?ooo`030000003oool0oooo03d0
oooo00<000000?ooo`3oool0>03oool00`000000oooo0?ooo`070?ooo`040000003oool0oooo0000
00X0oooo00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`0L0?ooo`030000003oool0oooo
03P0oooo00<000000?ooo`3oool0?@3oool00`000000oooo0?ooo`1Y0?ooo`00F03oool00`000000
oooo0?ooo`0k0?ooo`030000003oool0oooo03X0oooo00<000000?ooo`3oool01P3oool010000000
oooo0?ooo`0000080?ooo`040000003oool0oooo000000H0oooo00<000000?ooo`3oool06`3oool0
0`000000oooo0?ooo`0i0?ooo`030000003oool0oooo03`0oooo00<000000?ooo`3oool0JP3oool0
05T0oooo00<000000?ooo`3oool0>P3oool00`000000oooo0?ooo`0j0?ooo`030000003oool0oooo
00L0oooo0P00000:0?ooo`8000001`3oool2000001`0oooo00<000000?ooo`3oool0>P3oool00`00
0000oooo0?ooo`0j0?ooo`030000003oool0oooo06/0oooo001I0?ooo`030000003oool0oooo03T0
oooo00<000000?ooo`3oool0?03oool00`000000oooo0?ooo`0K0?ooo`030000003oool0oooo01X0
oooo00<000000?ooo`3oool0?03oool00`000000oooo0?ooo`0i0?ooo`030000003oool0oooo06/0
oooo001J0?ooo`030000003oool0oooo03P0oooo00<000000?ooo`3oool0?03oool00`000000oooo
0?ooo`0K0?ooo`030000003oool0oooo01X0oooo00<000000?ooo`3oool0?03oool00`000000oooo
0?ooo`0h0?ooo`030000003oool0oooo06`0oooo001K0?ooo`030000003oool0oooo03H0oooo00<0
00000?ooo`3oool0?P3oool00`000000oooo0?ooo`0J0?ooo`8000006P3oool00`000000oooo0?oo
o`0n0?ooo`030000003oool0oooo03H0oooo00<000000?ooo`3oool0K@3oool005/0oooo00<00000
0?ooo`3oool0=@3oool00`000000oooo0?ooo`100?ooo`030000003oool0oooo01T0oooo00<00000
0?ooo`3oool0603oool00`000000oooo0?ooo`100?ooo`030000003oool0oooo03D0oooo00<00000
0?ooo`3oool0K@3oool005`0oooo00<000000?ooo`3oool0=03oool00`000000oooo0?ooo`100?oo
o`030000003oool0oooo01T0oooo00<000000?ooo`3oool0603oool00`000000oooo0?ooo`100?oo
o`030000003oool0oooo03@0oooo00<000000?ooo`3oool0KP3oool005d0oooo00<000000?ooo`3o
ool0<P3oool00`000000oooo0?ooo`120?ooo`030000003oool0oooo01P0oooo00<000000?ooo`3o
ool05`3oool00`000000oooo0?ooo`120?ooo`030000003oool0oooo0380oooo00<000000?ooo`3o
ool0K`3oool005d0oooo00<000000?ooo`3oool0<@3oool00`000000oooo0?ooo`130?ooo`030000
003oool0oooo01P0oooo0P00000H0?ooo`030000003oool0oooo0480oooo00<000000?ooo`3oool0
<P3oool00`000000oooo0?ooo`1_0?ooo`00GP3oool00`000000oooo0?ooo`0`0?ooo`030000003o
ool0oooo04@0oooo00<000000?ooo`3oool00P3oool2000000@0oooo0P0000050?ooo`<000001@3o
ool00`000000oooo0?ooo`0F0?ooo`030000003oool0oooo04@0oooo00<000000?ooo`3oool0<03o
ool00`000000oooo0?ooo`1`0?ooo`00G`3oool00`000000oooo0?ooo`0^0?ooo`030000003oool0
oooo04H0oooo00@000000?ooo`3oool000000P3oool00`000000oooo0?ooo`090?ooo`030000003o
ool0oooo00@0oooo00<000000?ooo`3oool05P3oool00`000000oooo0?ooo`150?ooo`030000003o
ool0oooo02h0oooo00<000000?ooo`3oool0L@3oool005l0oooo00<000000?ooo`3oool0;P3oool0
0`000000oooo0?ooo`160?ooo`040000003oool0oooo00000080oooo00<000000?ooo`3oool01P3o
ool5000000D0oooo0`00000E0?ooo`030000003oool0oooo04H0oooo00<000000?ooo`3oool0;P3o
ool00`000000oooo0?ooo`1a0?ooo`00H03oool00`000000oooo0?ooo`0/0?ooo`030000003oool0
oooo04P0oooo00<000000?ooo`0000000P3oool00`000000oooo0?ooo`060?ooo`040000003oool0
oooo000000H0oooo00<000000?ooo`3oool0503oool00`000000oooo0?ooo`180?ooo`030000003o
ool0oooo02`0oooo00<000000?ooo`3oool0LP3oool00600oooo00<000000?ooo`3oool0;03oool0
0`000000oooo0?ooo`180?ooo`030000003oool000000080oooo00<000000?ooo`3oool01`3oool0
0`000000oooo000000060?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3oool0B03oool0
0`000000oooo0?ooo`0/0?ooo`030000003oool0oooo0780oooo001Q0?ooo`030000003oool0oooo
02X0oooo00<000000?ooo`3oool0BP3oool010000000oooo00000000000;0?ooo`8000001P3oool0
0`000000oooo0?ooo`0C0?ooo`030000003oool0oooo04X0oooo00<000000?ooo`3oool0:P3oool0
0`000000oooo0?ooo`1c0?ooo`00HP3oool00`000000oooo0?ooo`0X0?ooo`030000003oool0oooo
04/0oooo00<000000?ooo`3oool0503oool2000001@0oooo00<000000?ooo`3oool0B`3oool00`00
0000oooo0?ooo`0Y0?ooo`030000003oool0oooo07<0oooo001R0?ooo`030000003oool0oooo02P0
oooo00<000000?ooo`3oool0C03oool00`000000oooo0?ooo`0C0?ooo`030000003oool0oooo0180
oooo00<000000?ooo`3oool0C03oool00`000000oooo0?ooo`0X0?ooo`030000003oool0oooo07@0
oooo001S0?ooo`030000003oool0oooo02H0oooo00<000000?ooo`3oool0CP3oool00`000000oooo
0?ooo`0B0?ooo`030000003oool0oooo0180oooo00<000000?ooo`3oool0C@3oool00`000000oooo
0?ooo`0W0?ooo`030000003oool0oooo07@0oooo001S0?ooo`030000003oool0oooo02H0oooo00<0
00000?ooo`3oool0CP3oool00`000000oooo0?ooo`0B0?ooo`8000004P3oool00`000000oooo0?oo
o`1?0?ooo`030000003oool0oooo02D0oooo00<000000?ooo`3oool0M@3oool006@0oooo00<00000
0?ooo`3oool0903oool00`000000oooo0?ooo`1@0?ooo`030000003oool0oooo0140oooo00<00000
0?ooo`3oool0403oool00`000000oooo0?ooo`1@0?ooo`030000003oool0oooo02@0oooo00<00000
0?ooo`3oool0MP3oool006@0oooo00<000000?ooo`3oool0903oool00`000000oooo0?ooo`1@0?oo
o`030000003oool0oooo0140oooo00<000000?ooo`3oool0403oool00`000000oooo0?ooo`1A0?oo
o`030000003oool0oooo02<0oooo00<000000?ooo`3oool0MP3oool006D0oooo00<000000?ooo`3o
ool08P3oool00`000000oooo0?ooo`1B0?ooo`030000003oool0oooo0100oooo0P00000@0?ooo`03
0000003oool0oooo0580oooo00<000000?ooo`3oool08P3oool00`000000oooo0?ooo`1g0?ooo`00
I@3oool00`000000oooo0?ooo`0R0?ooo`030000003oool0oooo05<0oooo00<000000?ooo`3oool0
3`3oool00`000000oooo0?ooo`0?0?ooo`030000003oool0oooo05<0oooo00<000000?ooo`3oool0
8@3oool00`000000oooo0?ooo`1g0?ooo`00IP3oool00`000000oooo0?ooo`0P0?ooo`030000003o
ool0oooo0540oooo0P000000103oool000000?ooo`3oool2000000<0oooo0`0000070?ooo`030000
003oool0oooo00h0oooo00<000000?ooo`3oool0E@3oool00`000000oooo0?ooo`0O0?ooo`030000
003oool0oooo07P0oooo001V0?ooo`030000003oool0oooo01l0oooo00<000000?ooo`3oool0D@3o
ool01P000000oooo0?ooo`000000oooo000000H0oooo00@000000?ooo`3oool000001P3oool00`00
0000oooo0?ooo`0>0?ooo`030000003oool0oooo05D0oooo00<000000?ooo`3oool07`3oool00`00
0000oooo0?ooo`1h0?ooo`00I`3oool00`000000oooo0?ooo`0N0?ooo`030000003oool0oooo0540
oooo00H000000?ooo`3oool000000?ooo`0000060?ooo`040000003oool0oooo000000H0oooo0`00
000=0?ooo`030000003oool0oooo05L0oooo00<000000?ooo`3oool07@3oool00`000000oooo0?oo
o`1i0?ooo`00I`3oool00`000000oooo0?ooo`0M0?ooo`030000003oool0oooo0580oooo00@00000
0?ooo`3oool000000P3oool00`000000oooo0?ooo`030?ooo`<000001`3oool00`000000oooo0?oo
o`0=0?ooo`030000003oool0oooo05L0oooo00<000000?ooo`3oool0703oool00`000000oooo0?oo
o`1j0?ooo`00J03oool00`000000oooo0?ooo`0L0?ooo`030000003oool0oooo0580oooo00@00000
0?ooo`3oool000000`3oool00`000000oooo0?ooo`030?ooo`030000003oool0oooo00H0oooo00<0
00000?ooo`3oool0303oool00`000000oooo0?ooo`1I0?ooo`030000003oool0oooo01/0oooo00<0
00000?ooo`3oool0NP3oool006P0oooo00<000000?ooo`3oool06`3oool00`000000oooo0?ooo`1D
0?ooo`800000103oool00`000000oooo0?ooo`030?ooo`<000001P3oool2000000`0oooo00<00000
0?ooo`3oool0FP3oool00`000000oooo0?ooo`0J0?ooo`030000003oool0oooo07/0oooo001Y0?oo
o`030000003oool0oooo01X0oooo00<000000?ooo`3oool0F`3oool00`000000oooo0?ooo`0;0?oo
o`030000003oool0oooo00/0oooo00<000000?ooo`3oool0F`3oool00`000000oooo0?ooo`0I0?oo
o`030000003oool0oooo07/0oooo001Y0?ooo`030000003oool0oooo01T0oooo00<000000?ooo`3o
ool0G03oool00`000000oooo0?ooo`0;0?ooo`030000003oool0oooo00X0oooo00<000000?ooo`3o
ool0G03oool00`000000oooo0?ooo`0H0?ooo`030000003oool0oooo07`0oooo001Z0?ooo`030000
003oool0oooo01L0oooo00<000000?ooo`3oool0GP3oool00`000000oooo0?ooo`0:0?ooo`030000
003oool0oooo00X0oooo00<000000?ooo`3oool0G@3oool00`000000oooo0?ooo`0G0?ooo`030000
003oool0oooo07`0oooo001[0?ooo`030000003oool0oooo01H0oooo00<000000?ooo`3oool0GP3o
ool00`000000oooo0?ooo`0:0?ooo`8000002P3oool00`000000oooo0?ooo`1N0?ooo`030000003o
ool0oooo01H0oooo00<000000?ooo`3oool0O@3oool006/0oooo00<000000?ooo`3oool05@3oool0
0`000000oooo0?ooo`1P0?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3oool02@3oool0
0`000000oooo0?ooo`1O0?ooo`030000003oool0oooo01D0oooo00<000000?ooo`3oool0O@3oool0
06`0oooo00<000000?ooo`3oool0503oool00`000000oooo0?ooo`1P0?ooo`030000003oool0oooo
00T0oooo00<000000?ooo`3oool0203oool00`000000oooo0?ooo`1P0?ooo`030000003oool0oooo
01@0oooo00<000000?ooo`3oool0OP3oool006d0oooo00<000000?ooo`3oool04P3oool00`000000
oooo0?ooo`1R0?ooo`030000003oool0oooo00P0oooo0P0000080?ooo`030000003oool0oooo0680
oooo00<000000?ooo`3oool04P3oool00`000000oooo0?ooo`1o0?ooo`00K@3oool00`000000oooo
0?ooo`0B0?ooo`030000003oool0oooo0680oooo00<000000?ooo`3oool0203oool00`000000oooo
0?ooo`070?ooo`030000003oool0oooo0680oooo00<000000?ooo`3oool04P3oool00`000000oooo
0?ooo`1o0?ooo`00KP3oool00`000000oooo0?ooo`0@0?ooo`030000003oool0oooo05T0oooo0P00
00040?ooo`8000000`3oool3000000L0oooo00<000000?ooo`3oool01P3oool00`000000oooo0?oo
o`1T0?ooo`030000003oool0oooo0100oooo00<000000?ooo`3oool0P03oool006h0oooo00<00000
0?ooo`3oool0403oool00`000000oooo0?ooo`1H0?ooo`040000003oool0oooo000000P0oooo00@0
00000?ooo`3oool000001P3oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo06@0oooo
00<000000?ooo`3oool0403oool00`000000oooo0?ooo`200?ooo`00K`3oool00`000000oooo0?oo
o`0>0?ooo`030000003oool0oooo05T0oooo00@000000?ooo`3oool00000203oool2000000030?oo
o`000000oooo00D0oooo0`0000050?ooo`030000003oool0oooo06H0oooo00<000000?ooo`3oool0
3P3oool00`000000oooo0?ooo`210?ooo`00K`3oool00`000000oooo0?ooo`0>0?ooo`030000003o
ool0oooo05T0oooo00@000000?ooo`3oool000002@3oool2000000L0oooo00<000000?ooo`3oool0
1@3oool00`000000oooo0?ooo`1W0?ooo`030000003oool0oooo00d0oooo00<000000?ooo`3oool0
P@3oool00700oooo00<000000?ooo`3oool0303oool00`000000oooo0?ooo`1J0?ooo`040000003o
ool0oooo000000P0oooo00@000000?ooo`00000000001P3oool00`000000oooo0?ooo`040?ooo`03
0000003oool0oooo06P0oooo00<000000?ooo`3oool0303oool00`000000oooo0?ooo`220?ooo`00
L03oool00`000000oooo0?ooo`0<0?ooo`030000003oool0oooo05/0oooo0P00000:0?ooo`<00000
1P3oool2000000D0oooo00<000000?ooo`3oool0J@3oool00`000000oooo0?ooo`0;0?ooo`030000
003oool0oooo0880oooo001a0?ooo`030000003oool0oooo00X0oooo00<000000?ooo`3oool0JP3o
ool00`000000oooo0?ooo`040?ooo`030000003oool0oooo00<0oooo00<000000?ooo`3oool0JP3o
ool00`000000oooo0?ooo`0:0?ooo`030000003oool0oooo08<0oooo001b0?ooo`030000003oool0
oooo00P0oooo00<000000?ooo`3oool0K03oool00`000000oooo0?ooo`030?ooo`030000003oool0
oooo0080oooo00<000000?ooo`3oool0K03oool00`000000oooo0?ooo`080?ooo`030000003oool0
oooo08@0oooo001c0?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3oool0KP3oool00`00
0000oooo0?ooo`020?ooo`8000000P3oool00`000000oooo0?ooo`1^0?ooo`030000003oool0oooo
00H0oooo00<000000?ooo`3oool0Q@3oool007@0oooo00<000000?ooo`3oool00`3oool200000780
oooo00D000000?ooo`3oool0oooo000000020?ooo`030000003oool0oooo0700oooo0P0000050?oo
o`030000003oool0oooo08H0oooo001e0?ooo`H00000M03oool6000007D0oooo1@0000290?ooo`00
N03oool00`000000oooo0?ooo`1g0?ooo`030000003oool0oooo07L0oooo00<000000?ooo`3oool0
R@3oool00?80oooo0P00003o0?ooo`D0oooo003o0?ooooT0oooo003o0?ooooT0oooo003o0?ooooT0
oooo003o0?ooooT0oooo003o0?ooooT0oooo003o0?ooooT0oooo003o0?ooooT0oooo003o0?ooooT0
oooo003o0?ooooT0oooo003o0?ooooT0oooo003`0?ooo`800000o`3oool70?ooo`00l@3oool00`00
0000oooo0?ooo`3o0?ooo`D0oooo003b0?ooo`030000003oool0oooo0?l0oooo103oool00?40oooo
00<000000?ooo`000000o`3oool50?ooo`00l03oool010000000oooo0?ooo`00003o0?ooo`D0oooo
003_0?ooo`<0000000<0oooo000000000000o`3oool40?ooo`00o`3ooooi0?ooo`00o`3ooooi0?oo
o`00o`3ooooi0?ooo`00o`3ooooi0?ooo`00o`3ooooi0?ooo`00\
\>"],
  ImageRangeCache->{{{104.813, 507.063}, {189.688, 110.063}} -> {-9.19585, \
1.8295, 0.0246472, 0.0147164}}]
}, Open  ]],

Cell["", "Input",
  FontVariations->{"CompatibilityType"->0}],

Cell[BoxData[
    RowBox[{\((4)\), "  ", 
      TagBox[
        StyleBox[
          RowBox[{"{", 
            StyleBox[GridBox[{
                  {\(\(\ \ \ \ \ \ \ \ \ \)\(0, \ \ \ \ \ \ \ \ \ \(-2\) < \ 
                      x < \(-1\), 1 < x < 2\)\)},
                  {\(\(\(1\)\(-\)\) | 
                      x | , \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \(-1\) \
\[LessEqual] x \[LessEqual] 1\)}
                  }],
              ShowAutoStyles->True]}],
          ShowAutoStyles->False],
        (#&)], "    "}]], "Input",
  Background->RGBColor[0.644541, 0.957046, 0.898451],
  FontVariations->{"CompatibilityType"->0}],

Cell[CellGroupData[{

Cell[BoxData[
    \(f4 = 
      NFourierTrigSeries[If[\(-1\) < x < 1, 1 - Abs[x], 0], x, 
          4, \[IndentingNewLine]FourierParameters \[Rule] {\(-1\), 1\/4}, 
          AccuracyGoal \[Rule] 8, PrecisionGoal \[Rule] 8] // 
        Simplify\)], "Input",
  FontVariations->{"CompatibilityType"->0}],

Cell[BoxData[
    \(\(\(0.25`\)\(\[InvisibleSpace]\)\) + 
      0.40528473456935116`\ Cos[\(\[Pi]\ x\)\/2] + 
      0.20264236728467558`\ Cos[\[Pi]\ x] + 
      0.04503163717437237`\ Cos[\(3\ \[Pi]\ x\)\/2] + 0.`\ Cos[2\ \[Pi]\ x] + 
      0.`\ Sin[\(\[Pi]\ x\)\/2] + 0.`\ Sin[\[Pi]\ x] + 
      0.`\ Sin[\(3\ \[Pi]\ x\)\/2] + 0.`\ Sin[2\ \[Pi]\ x]\)], "Output"]
}, Open  ]],

Cell[CellGroupData[{

Cell["\<\
Plot[f4,{x,-6,6},AxesLabel->{\"x\",\"y\"},PlotRange->{-0.2,1.2},AspectRatio->\
0.2];\
\>", "Input",
  FontVariations->{"CompatibilityType"->0}],

Cell[GraphicsData["PostScript", "\<\
%!
%%Creator: Mathematica
%%AspectRatio: .2 
MathPictureStart
/Mabs {
Mgmatrix idtransform
Mtmatrix dtransform
} bind def
/Mabsadd { Mabs
3 -1 roll add
3 1 roll add
exch } bind def
%% Graphics
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10  scalefont  setfont
% Scaling calculations
0.5 0.0793651 0.0285714 0.142857 [
[.02381 .01607 -6 -9 ]
[.02381 .01607 6 0 ]
[.18254 .01607 -6 -9 ]
[.18254 .01607 6 0 ]
[.34127 .01607 -6 -9 ]
[.34127 .01607 6 0 ]
[.65873 .01607 -3 -9 ]
[.65873 .01607 3 0 ]
[.81746 .01607 -3 -9 ]
[.81746 .01607 3 0 ]
[.97619 .01607 -3 -9 ]
[.97619 .01607 3 0 ]
[1.025 .02857 0 -6.40625 ]
[1.025 .02857 10.125 6.40625 ]
[.4875 0 -24 -4.5 ]
[.4875 0 0 4.5 ]
[.4875 .05714 -18 -4.5 ]
[.4875 .05714 0 4.5 ]
[.4875 .08571 -18 -4.5 ]
[.4875 .08571 0 4.5 ]
[.4875 .11429 -18 -4.5 ]
[.4875 .11429 0 4.5 ]
[.4875 .14286 -18 -4.5 ]
[.4875 .14286 0 4.5 ]
[.4875 .17143 -6 -4.5 ]
[.4875 .17143 0 4.5 ]
[.5 .225 -5.0625 0 ]
[.5 .225 5.0625 12.8125 ]
[ 0 0 0 0 ]
[ 1 .2 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
0 g
.25 Mabswid
[ ] 0 setdash
.02381 .02857 m
.02381 .03482 L
s
[(-6)] .02381 .01607 0 1 Mshowa
.18254 .02857 m
.18254 .03482 L
s
[(-4)] .18254 .01607 0 1 Mshowa
.34127 .02857 m
.34127 .03482 L
s
[(-2)] .34127 .01607 0 1 Mshowa
.65873 .02857 m
.65873 .03482 L
s
[(2)] .65873 .01607 0 1 Mshowa
.81746 .02857 m
.81746 .03482 L
s
[(4)] .81746 .01607 0 1 Mshowa
.97619 .02857 m
.97619 .03482 L
s
[(6)] .97619 .01607 0 1 Mshowa
.125 Mabswid
.06349 .02857 m
.06349 .03232 L
s
.10317 .02857 m
.10317 .03232 L
s
.14286 .02857 m
.14286 .03232 L
s
.22222 .02857 m
.22222 .03232 L
s
.2619 .02857 m
.2619 .03232 L
s
.30159 .02857 m
.30159 .03232 L
s
.38095 .02857 m
.38095 .03232 L
s
.42063 .02857 m
.42063 .03232 L
s
.46032 .02857 m
.46032 .03232 L
s
.53968 .02857 m
.53968 .03232 L
s
.57937 .02857 m
.57937 .03232 L
s
.61905 .02857 m
.61905 .03232 L
s
.69841 .02857 m
.69841 .03232 L
s
.7381 .02857 m
.7381 .03232 L
s
.77778 .02857 m
.77778 .03232 L
s
.85714 .02857 m
.85714 .03232 L
s
.89683 .02857 m
.89683 .03232 L
s
.93651 .02857 m
.93651 .03232 L
s
.25 Mabswid
0 .02857 m
1 .02857 L
s
gsave
1.025 .02857 -61 -10.4063 Mabsadd m
1 1 Mabs scale
currentpoint translate
0 20.8125 translate 1 -1 scale
63.000 13.125 moveto
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10.000 scalefont
[1 0 0 -1 0 0 ] makefont setfont
0.000 0.000 0.000 setrgbcolor
0.000 0.000 rmoveto
63.000 13.125 moveto
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10.000 scalefont
[1 0 0 -1 0 0 ] makefont setfont
0.000 0.000 0.000 setrgbcolor
(x) show
69.125 13.125 moveto
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10.000 scalefont
[1 0 0 -1 0 0 ] makefont setfont
0.000 0.000 0.000 setrgbcolor
0.000 0.000 rmoveto
1.000 setlinewidth
grestore
.5 0 m
.50625 0 L
s
[(-0.2)] .4875 0 1 0 Mshowa
.5 .05714 m
.50625 .05714 L
s
[(0.2)] .4875 .05714 1 0 Mshowa
.5 .08571 m
.50625 .08571 L
s
[(0.4)] .4875 .08571 1 0 Mshowa
.5 .11429 m
.50625 .11429 L
s
[(0.6)] .4875 .11429 1 0 Mshowa
.5 .14286 m
.50625 .14286 L
s
[(0.8)] .4875 .14286 1 0 Mshowa
.5 .17143 m
.50625 .17143 L
s
[(1)] .4875 .17143 1 0 Mshowa
.125 Mabswid
.5 .00714 m
.50375 .00714 L
s
.5 .01429 m
.50375 .01429 L
s
.5 .02143 m
.50375 .02143 L
s
.5 .03571 m
.50375 .03571 L
s
.5 .04286 m
.50375 .04286 L
s
.5 .05 m
.50375 .05 L
s
.5 .06429 m
.50375 .06429 L
s
.5 .07143 m
.50375 .07143 L
s
.5 .07857 m
.50375 .07857 L
s
.5 .09286 m
.50375 .09286 L
s
.5 .1 m
.50375 .1 L
s
.5 .10714 m
.50375 .10714 L
s
.5 .12143 m
.50375 .12143 L
s
.5 .12857 m
.50375 .12857 L
s
.5 .13571 m
.50375 .13571 L
s
.5 .15 m
.50375 .15 L
s
.5 .15714 m
.50375 .15714 L
s
.5 .16429 m
.50375 .16429 L
s
.5 .17857 m
.50375 .17857 L
s
.5 .18571 m
.50375 .18571 L
s
.5 .19286 m
.50375 .19286 L
s
.25 Mabswid
.5 0 m
.5 .2 L
s
gsave
.5 .225 -66.0625 -4 Mabsadd m
1 1 Mabs scale
currentpoint translate
0 20.8125 translate 1 -1 scale
63.000 13.125 moveto
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10.000 scalefont
[1 0 0 -1 0 0 ] makefont setfont
0.000 0.000 0.000 setrgbcolor
0.000 0.000 rmoveto
63.000 13.125 moveto
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10.000 scalefont
[1 0 0 -1 0 0 ] makefont setfont
0.000 0.000 0.000 setrgbcolor
(y) show
69.125 13.125 moveto
%%IncludeResource: font Courier
%%IncludeFont: Courier
/Courier findfont 10.000 scalefont
[1 0 0 -1 0 0 ] makefont setfont
0.000 0.000 0.000 setrgbcolor
0.000 0.000 rmoveto
1.000 setlinewidth
grestore
0 0 m
1 0 L
1 .2 L
0 .2 L
closepath
clip
newpath
.5 Mabswid
.02381 .0289 m
.02499 .0289 L
.02605 .0289 L
.02729 .0289 L
.02846 .0289 L
.02954 .0289 L
.03053 .0289 L
.03163 .0289 L
.03279 .0289 L
.03395 .0289 L
.0352 .02889 L
.03638 .02889 L
.03746 .02888 L
.03873 .02887 L
.04011 .02886 L
.04262 .02882 L
.04396 .0288 L
.04523 .02877 L
.04759 .02871 L
.05014 .02862 L
.0529 .02851 L
.06244 .02796 L
.06796 .02761 L
.07066 .02746 L
.07184 .02741 L
.07312 .02736 L
.07381 .02734 L
.07445 .02732 L
.07571 .0273 L
.07635 .0273 L
.07706 .0273 L
.0778 .0273 L
.07849 .02731 L
.07921 .02733 L
.07997 .02736 L
.08062 .02739 L
.08133 .02744 L
.08291 .02756 L
.08439 .02772 L
.08702 .02813 L
.0895 .02867 L
.09173 .0293 L
.09415 .03016 L
.09679 .03134 L
.09958 .03287 L
.10458 .03646 L
.10951 .04112 L
.11402 .04643 L
.12415 .06202 L
.14247 .09981 L
Mistroke
.15246 .12159 L
.15794 .13244 L
.1631 .14134 L
.16792 .14818 L
.17046 .15109 L
.17314 .15361 L
.1754 .15527 L
.17659 .15597 L
.17788 .15658 L
.17905 .15702 L
.18013 .1573 L
.18121 .15748 L
.18223 .15756 L
.18336 .15753 L
.18443 .1574 L
.18559 .15714 L
.18685 .15672 L
.1881 .15617 L
.18941 .15544 L
.19176 .15376 L
.19596 .14961 L
.20056 .14352 L
.21088 .12515 L
.22047 .10457 L
.23925 .06505 L
.24439 .05614 L
.24983 .04806 L
.25453 .04226 L
.25957 .03725 L
.26484 .03329 L
.26976 .03065 L
.27277 .02949 L
.27562 .02866 L
.27817 .0281 L
.27962 .02787 L
.28096 .02769 L
.28211 .02757 L
.28335 .02746 L
.28452 .02739 L
.2856 .02734 L
.28679 .02731 L
.2881 .0273 L
.28876 .0273 L
.28946 .0273 L
.29073 .02732 L
.29143 .02734 L
.29207 .02736 L
.29353 .02742 L
.29617 .02756 L
.30112 .02786 L
Mistroke
.31015 .02841 L
.31275 .02854 L
.31522 .02863 L
.31747 .02871 L
.31986 .02877 L
.32125 .0288 L
.3225 .02882 L
.32496 .02886 L
.32633 .02887 L
.32782 .02888 L
.32922 .02889 L
.33051 .02889 L
.33171 .0289 L
.33283 .0289 L
.33405 .0289 L
.33537 .0289 L
.33603 .0289 L
.33674 .0289 L
.33805 .0289 L
.33932 .0289 L
.34049 .0289 L
.34167 .0289 L
.34291 .0289 L
.34397 .0289 L
.34513 .0289 L
.34638 .0289 L
.34708 .0289 L
.34772 .0289 L
.34896 .0289 L
.35013 .0289 L
.35123 .0289 L
.35239 .02889 L
.35338 .02889 L
.35447 .02888 L
.35564 .02887 L
.3569 .02886 L
.35917 .02884 L
.36054 .02881 L
.36181 .02879 L
.3647 .02872 L
.36724 .02864 L
.36994 .02853 L
.37978 .02797 L
.3848 .02765 L
.38754 .02749 L
.3901 .02738 L
.39144 .02733 L
.39219 .02732 L
.39287 .0273 L
.39362 .0273 L
Mistroke
.39443 .0273 L
.3952 .0273 L
.39591 .02731 L
.39714 .02735 L
.39784 .02738 L
.3985 .02742 L
.39982 .02751 L
.40124 .02765 L
.40258 .02782 L
.40383 .02801 L
.40665 .02859 L
.40913 .02928 L
.41179 .03023 L
.41684 .03276 L
.42143 .03596 L
.4263 .04042 L
.43145 .04639 L
.44067 .06036 L
.46149 .10328 L
.47096 .12373 L
.47617 .13386 L
.48111 .14221 L
.48571 .14857 L
.48813 .1513 L
.4907 .15369 L
.49286 .15527 L
.49401 .15594 L
.49524 .15654 L
.49637 .15697 L
.49741 .15726 L
.4984 .15745 L
.49945 .15755 L
.50068 .15754 L
.50137 .15748 L
.50202 .15738 L
.50319 .1571 L
.50444 .15667 L
.50556 .15617 L
.5066 .1556 L
.50898 .15395 L
.51155 .15163 L
.5139 .14905 L
.51918 .14176 L
.5286 .12464 L
.53754 .10544 L
.54788 .0827 L
.5576 .06342 L
.56634 .04937 L
.57084 .04358 L
.57577 .03838 L
Mistroke
.58077 .03431 L
.58331 .03266 L
.58604 .0312 L
.5886 .03008 L
.59092 .02926 L
.59326 .02861 L
.59548 .02813 L
.59801 .02774 L
.59929 .02759 L
.6007 .02747 L
.6019 .02739 L
.60319 .02734 L
.60441 .02731 L
.60553 .0273 L
.60685 .0273 L
.60808 .02732 L
.60878 .02734 L
.60942 .02736 L
.61086 .02742 L
.61374 .02756 L
.61646 .02773 L
.6262 .02834 L
.63111 .02857 L
.6339 .02868 L
.6365 .02875 L
.63889 .0288 L
.64116 .02884 L
.64319 .02886 L
.64434 .02887 L
.64541 .02888 L
.64647 .02889 L
.64761 .02889 L
.64886 .0289 L
.65004 .0289 L
.65129 .0289 L
.65261 .0289 L
.65373 .0289 L
.65497 .0289 L
.65628 .0289 L
.65749 .0289 L
.65813 .0289 L
.65882 .0289 L
.65955 .0289 L
.66024 .0289 L
.66149 .0289 L
.66264 .0289 L
.66327 .0289 L
.66396 .0289 L
.66522 .0289 L
.66645 .0289 L
Mistroke
.66756 .0289 L
.66884 .0289 L
.67005 .02889 L
.67118 .02889 L
.67221 .02888 L
.67454 .02886 L
.67576 .02885 L
.67705 .02883 L
.6794 .02879 L
.68219 .02872 L
.68473 .02864 L
.69025 .02839 L
.69548 .02808 L
.70046 .02776 L
.70514 .02748 L
.70749 .02738 L
.70881 .02734 L
.71002 .02731 L
.71127 .0273 L
.71198 .0273 L
.71264 .0273 L
.71334 .02731 L
.71397 .02733 L
.71471 .02735 L
.7154 .02739 L
.71646 .02745 L
.71763 .02754 L
.71885 .02767 L
.72 .02781 L
.72204 .02814 L
.72424 .02862 L
.72681 .02935 L
.72924 .03023 L
.73382 .03247 L
.73887 .03594 L
.74343 .04008 L
.75367 .0531 L
.76315 .06959 L
.77207 .08807 L
.79049 .1279 L
.79554 .13725 L
.80094 .14567 L
.80356 .14905 L
.80604 .15176 L
.80825 .15376 L
.80951 .15472 L
.81068 .1555 L
.81194 .15619 L
.8131 .15671 L
.81433 .15712 L
Mistroke
.81501 .15729 L
.81566 .15742 L
.8168 .15755 L
.81786 .15756 L
.81902 .15745 L
.82026 .15721 L
.82096 .15701 L
.82161 .15679 L
.82307 .15614 L
.82572 .1545 L
.82812 .15249 L
.83067 .14986 L
.83586 .14295 L
.84071 .13491 L
.85175 .11261 L
.87036 .07234 L
.88019 .05474 L
.89063 .04097 L
.89587 .03609 L
.89865 .03402 L
.90165 .03216 L
.90439 .03078 L
.90691 .02976 L
.90932 .02898 L
.91185 .02835 L
.91425 .02791 L
.9156 .02772 L
.91682 .02759 L
.91797 .02749 L
.9192 .0274 L
.92037 .02735 L
.92145 .02732 L
.92271 .0273 L
.92388 .0273 L
.92517 .02731 L
.9259 .02733 L
.92656 .02735 L
.92788 .0274 L
.92933 .02746 L
.93197 .02761 L
.94211 .02825 L
.94709 .02851 L
.95166 .02869 L
.95423 .02876 L
.95695 .02881 L
.95836 .02884 L
.95968 .02885 L
.96112 .02887 L
.96267 .02888 L
.96395 .02889 L
Mistroke
.96463 .02889 L
.96535 .02889 L
.96667 .0289 L
.96788 .0289 L
.96905 .0289 L
.97015 .0289 L
.97135 .0289 L
.97264 .0289 L
.97347 .0289 L
.97437 .0289 L
.97531 .0289 L
.97619 .0289 L
Mfstroke
% End of Graphics
MathPictureEnd
\
\>"], "Graphics",
  ImageSize->{515.938, 103.188},
  ImageMargins->{{9, 0}, {0, 0}},
  ImageRegion->{{0, 1}, {0, 1}},
  ImageCache->GraphicsData["Bitmap", "\<\
CF5dJ6E]HGAYHf4PAg9QL6QYHg<PAVmbKF5d0`4000830000Ib000`400?l00000o`00003oo`3ooooo
0?ooo`D0oooo003o0?ooool0oooo1@3oool00?l0ooooo`3oool50?ooo`00A@3oool3000003X0oooo
0`00000g0?ooo`@000008P3oool2000000@0oooo0P0000030?ooo`@00000@03oool4000003X0oooo
0`00000g0?ooo`<00000E`3oool004D0oooo00@000000?ooo`3oool00000>P3oool00`000000oooo
0?ooo`0f0?ooo`030000003oool0oooo0280oooo00@000000?ooo`3oool00000203oool00`000000
oooo0?ooo`110?ooo`030000003oool0oooo03`0oooo00<000000?ooo`3oool0=P3oool010000000
oooo0?ooo`00001F0?ooo`00A@3oool010000000oooo0?ooo`00000g0?ooo`D00000>03oool00`00
0000oooo0?ooo`0Q0?ooo`040000003oool0oooo000000T0oooo00<000000?ooo`3oool01P3oool4
000003L0oooo00<000000?ooo`3oool0>03oool5000003L0oooo00@000000?ooo`3oool00000EP3o
ool003l0oooo100000020?ooo`<00000<P3oool400000080oooo00@000000?ooo`3oool00000<P3o
ool4000000@0oooo00<000000?ooo`3oool06P3oool400000080oooo00@000000?ooo`3oool00000
2P3oool00`000000oooo0?ooo`050?ooo`030000003oool0oooo03T0oooo00<000000?ooo`3oool0
=`3oool010000000oooo0?ooo`00000h0?ooo`<00000E`3oool004H0oooo00<000000?ooo`3oool0
>03oool00`000000oooo0000000h0?ooo`040000003oool0oooo00000240oooo00@000000?ooo`3o
ool00000203oool010000000oooo0?ooo`0000060?ooo`030000003oool0oooo03L0oooo00@00000
0?ooo`3oool00000>@3oool00`000000oooo0000000i0?ooo`030000003oool0oooo05H0oooo0016
0?ooo`<00000>@3oool2000003T0oooo0P00000S0?ooo`8000002P3oool2000000L0oooo0`00000h
0?ooo`800000>`3oool2000003T0oooo0`00001F0?ooo`00m`3oool00`000000oooo0?ooo`3o0?oo
o`X0oooo003g0?ooo`<00000o`3oool:0?ooo`00m`3oool00`000000oooo0?ooo`3o0?ooo`X0oooo
003g0?ooo`030000003oool0oooo0?l0oooo2P3oool00?L0oooo0`00003o0?ooo`X0oooo003g0?oo
o`030000003oool0oooo0<D0oooo0P0000000`3oool000000000000o0?ooo`00D@3oool;000004P0
oooo2P00000K0?ooo`/000008`3oool00`000000oooo0?ooo`0Q0?ooo`X00000703oool;000004L0
oooo3000000Q0?ooo`030000003oool000000400oooo000k0?ooool00000N`00000<0?ooo`030000
003oool0oooo03l0oooo00140?ooo`030000003oool0oooo00`0oooo00<000000?ooo`3oool02@3o
ool2000000030?ooo`000000oooo00`0oooo00<000000?ooo`3oool0303oool00`000000oooo0?oo
o`0<0?ooo`030000003oool0oooo00`0oooo0`00000<0?ooo`030000003oool0oooo00`0oooo00<0
00000?ooo`3oool0303oool00`000000oooo0?ooo`0:0?ooo`<000003P3oool00`000000oooo0?oo
o`0<0?ooo`030000003oool0oooo00`0oooo00<000000?ooo`3oool0303oool010000000oooo0000
0000000;0?ooo`030000003oool0oooo00`0oooo00<000000?ooo`3oool0303oool00`000000oooo
0?ooo`0:0?ooo`030000003oool0000000h0oooo00<000000?ooo`3oool0303oool00`000000oooo
0?ooo`0<0?ooo`030000003oool0oooo00`0oooo00<000000?ooo`000000303oool00`000000oooo
0?ooo`0<0?ooo`030000003oool0oooo0140oooo0P0000000`3oool000000000000o0?ooo`00A03o
ool00`000000oooo0?ooo`0J0?ooo`030000003oool0oooo01/0oooo00<000000?ooo`3oool06`3o
ool00`000000oooo0?ooo`0K0?ooo`030000003oool0oooo01/0oooo0P00000L0?ooo`<00000703o
ool00`000000oooo0?ooo`0J0?ooo`030000003oool0oooo01X0oooo0P00000M0?ooo`030000003o
ool0oooo01/0oooo0P00000L0?ooo`030000003oool0oooo05D0oooo001R0?ooo`030000003oool0
oooo03L0oooo00<000000?ooo`3oool0>`3oool00`000000oooo0?ooo`0J0?ooo`030000003oool0
oooo01X0oooo0P00000l0?ooo`030000003oool0oooo03L0oooo00<000000?ooo`3oool0M03oool0
06<0oooo0P00000f0?ooo`030000003oool0oooo03d0oooo00<000000?ooo`3oool06@3oool00`00
0000oooo0?ooo`0I0?ooo`030000003oool0oooo03d0oooo00<000000?ooo`3oool0=@3oool00`00
0000oooo0?ooo`1e0?ooo`00I@3oool00`000000oooo0?ooo`0c0?ooo`030000003oool0oooo03h0
oooo00<000000?ooo`3oool0603oool3000001P0oooo00<000000?ooo`3oool0?`3oool00`000000
oooo0?ooo`0c0?ooo`030000003oool0oooo07H0oooo001V0?ooo`030000003oool0oooo0340oooo
00<000000?ooo`3oool0@03oool00`000000oooo0?ooo`0G0?ooo`030000003oool0oooo01L0oooo
00<000000?ooo`3oool0@@3oool00`000000oooo0?ooo`0a0?ooo`030000003oool0oooo07L0oooo
001V0?ooo`030000003oool0oooo0300oooo00<000000?ooo`3oool0@P3oool00`000000oooo0?oo
o`0F0?ooo`030000003oool0oooo01H0oooo00<000000?ooo`3oool0@P3oool00`000000oooo0?oo
o`0a0?ooo`030000003oool0oooo07L0oooo001W0?ooo`030000003oool0oooo02h0oooo00<00000
0?ooo`3oool0@`3oool010000000oooo0?ooo`3oool2000000@0oooo0P0000030?ooo`@000001P3o
ool3000001D0oooo00<000000?ooo`3oool0A03oool00`000000oooo0?ooo`0_0?ooo`030000003o
ool0oooo07P0oooo001W0?ooo`030000003oool0oooo02h0oooo00<000000?ooo`3oool0A03oool0
0`000000oooo000000020?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3oool01`3oool0
0`000000oooo0?ooo`0E0?ooo`030000003oool0oooo04D0oooo00<000000?ooo`3oool0;@3oool0
0`000000oooo0?ooo`1i0?ooo`00J03oool00`000000oooo0?ooo`0/0?ooo`030000003oool0oooo
04H0oooo0P0000020?ooo`030000003oool0oooo00L0oooo00<000000?ooo`3oool01P3oool40000
01<0oooo00<000000?ooo`3oool0AP3oool00`000000oooo0?ooo`0/0?ooo`030000003oool0oooo
07X0oooo001X0?ooo`030000003oool0oooo02/0oooo00<000000?ooo`3oool0A`3oool200000080
oooo00<000000?ooo`3oool0203oool00`000000oooo0?ooo`050?ooo`030000003oool0oooo01@0
oooo00<000000?ooo`3oool0A`3oool00`000000oooo0?ooo`0[0?ooo`030000003oool0oooo07X0
oooo001Y0?ooo`030000003oool0oooo02X0oooo00<000000?ooo`3oool0B03oool010000000oooo
0?ooo`0000080?ooo`040000003oool0oooo000000H0oooo00<000000?ooo`3oool04`3oool00`00
0000oooo0?ooo`180?ooo`030000003oool0oooo02X0oooo00<000000?ooo`3oool0N`3oool006T0
oooo00<000000?ooo`3oool0:@3oool00`000000oooo0?ooo`190?ooo`<000002P3oool2000000L0
oooo0`00000C0?ooo`030000003oool0oooo04T0oooo00<000000?ooo`3oool0:@3oool00`000000
oooo0?ooo`1k0?ooo`00JP3oool00`000000oooo0?ooo`0X0?ooo`030000003oool0oooo04X0oooo
00<000000?ooo`3oool04P3oool00`000000oooo0?ooo`0B0?ooo`030000003oool0oooo04X0oooo
00<000000?ooo`3oool0:03oool00`000000oooo0?ooo`1l0?ooo`00JP3oool00`000000oooo0?oo
o`0W0?ooo`030000003oool0oooo04/0oooo00<000000?ooo`3oool04P3oool00`000000oooo0?oo
o`0B0?ooo`030000003oool0oooo04/0oooo00<000000?ooo`3oool09`3oool00`000000oooo0?oo
o`1l0?ooo`00J`3oool00`000000oooo0?ooo`0V0?ooo`030000003oool0oooo04`0oooo00<00000
0?ooo`3oool04@3oool300000140oooo00<000000?ooo`3oool0C@3oool00`000000oooo0?ooo`0U
0?ooo`030000003oool0oooo07d0oooo001[0?ooo`030000003oool0oooo02D0oooo00<000000?oo
o`3oool0C@3oool00`000000oooo0?ooo`0A0?ooo`030000003oool0oooo0140oooo00<000000?oo
o`3oool0C@3oool00`000000oooo0?ooo`0U0?ooo`030000003oool0oooo07d0oooo001/0?ooo`03
0000003oool0oooo02@0oooo00<000000?ooo`3oool0CP3oool00`000000oooo0?ooo`0@0?ooo`<0
0000403oool00`000000oooo0?ooo`1?0?ooo`030000003oool0oooo02<0oooo00<000000?ooo`3o
ool0OP3oool006`0oooo00<000000?ooo`3oool08`3oool00`000000oooo0?ooo`1=0?ooo`<00000
0`3oool2000000D0oooo0`0000050?ooo`030000003oool0oooo0100oooo00<000000?ooo`3oool0
C`3oool00`000000oooo0?ooo`0S0?ooo`030000003oool0oooo07h0oooo001]0?ooo`030000003o
ool0oooo0280oooo00<000000?ooo`3oool0C03oool00`000000oooo0?ooo`02000000X0oooo00<0
00000?ooo`3oool0103oool00`000000oooo0?ooo`0?0?ooo`030000003oool0oooo0540oooo00<0
00000?ooo`3oool08@3oool00`000000oooo0?ooo`1o0?ooo`00K@3oool00`000000oooo0?ooo`0Q
0?ooo`030000003oool0oooo04d0oooo00<000000?ooo`3oool00P0000070?ooo`D000001@3oool4
000000h0oooo00<000000?ooo`3oool0D@3oool00`000000oooo0?ooo`0Q0?ooo`030000003oool0
oooo07l0oooo001^0?ooo`030000003oool0oooo0200oooo00<000000?ooo`3oool0C@3oool01P00
0000oooo0?ooo`000000oooo000000H0oooo00@000000?ooo`3oool000001P3oool00`000000oooo
0?ooo`0>0?ooo`030000003oool0oooo05<0oooo00<000000?ooo`3oool07`3oool00`000000oooo
0?ooo`200?ooo`00KP3oool00`000000oooo0?ooo`0O0?ooo`030000003oool0oooo04h0oooo00H0
00000?ooo`3oool000000?ooo`0000070?ooo`030000003oool0000000H0oooo00<000000?ooo`3o
ool03P3oool00`000000oooo0?ooo`1C0?ooo`030000003oool0oooo01l0oooo00<000000?ooo`3o
ool0P03oool006l0oooo00<000000?ooo`3oool07P3oool00`000000oooo0?ooo`1?0?ooo`800000
0`3oool00`000000oooo0?ooo`050?ooo`8000001P3oool3000000d0oooo00<000000?ooo`3oool0
E@3oool00`000000oooo0?ooo`0M0?ooo`030000003oool0oooo0840oooo001_0?ooo`030000003o
ool0oooo01d0oooo00<000000?ooo`3oool0E@3oool00`000000oooo0?ooo`0=0?ooo`030000003o
ool0oooo00d0oooo00<000000?ooo`3oool0E@3oool00`000000oooo0?ooo`0M0?ooo`030000003o
ool0oooo0840oooo001`0?ooo`030000003oool0oooo01`0oooo00<000000?ooo`3oool0EP3oool0
0`000000oooo0?ooo`0<0?ooo`030000003oool0oooo00`0oooo00<000000?ooo`3oool0E`3oool0
0`000000oooo0?ooo`0K0?ooo`030000003oool0oooo0880oooo001`0?ooo`030000003oool0oooo
01/0oooo00<000000?ooo`3oool0E`3oool00`000000oooo0?ooo`0<0?ooo`<00000303oool00`00
0000oooo0?ooo`1G0?ooo`030000003oool0oooo01/0oooo00<000000?ooo`3oool0PP3oool00740
oooo00<000000?ooo`3oool06P3oool00`000000oooo0?ooo`1H0?ooo`030000003oool0oooo00/0
oooo00<000000?ooo`3oool02`3oool00`000000oooo0?ooo`1I0?ooo`030000003oool0oooo01T0
oooo00<000000?ooo`3oool0P`3oool00740oooo00<000000?ooo`3oool06@3oool00`000000oooo
0?ooo`1I0?ooo`030000003oool0oooo00/0oooo0`00000;0?ooo`030000003oool0oooo05T0oooo
00<000000?ooo`3oool06@3oool00`000000oooo0?ooo`230?ooo`00LP3oool00`000000oooo0?oo
o`0H0?ooo`030000003oool0oooo0580oooo0P0000040?ooo`<000000P3oool3000000L0oooo00<0
00000?ooo`3oool02`3oool00`000000oooo0?ooo`1J0?ooo`030000003oool0oooo01L0oooo00<0
00000?ooo`3oool0Q03oool00780oooo00<000000?ooo`3oool05`3oool00`000000oooo0?ooo`1B
0?ooo`040000003oool0oooo000000D0oooo00@000000?ooo`3oool000000P3oool00`000000oooo
0?ooo`040?ooo`030000003oool0oooo00X0oooo00<000000?ooo`3oool0F`3oool00`000000oooo
0?ooo`0G0?ooo`030000003oool0oooo08@0oooo001c0?ooo`030000003oool0oooo01H0oooo00<0
00000?ooo`3oool0DP3oool010000000oooo0?ooo`0000060?ooo`030000003oool000000080oooo
00<000000?ooo`3oool0103oool4000000T0oooo00<000000?ooo`3oool0G03oool00`000000oooo
0?ooo`0F0?ooo`030000003oool0oooo08@0oooo001c0?ooo`030000003oool0oooo01D0oooo00<0
00000?ooo`3oool0D`3oool010000000oooo0?ooo`0000060?ooo`030000003oool0000000800000
1`3oool00`000000oooo0?ooo`090?ooo`030000003oool0oooo05d0oooo00<000000?ooo`3oool0
5@3oool00`000000oooo0?ooo`250?ooo`00M03oool00`000000oooo0?ooo`0D0?ooo`030000003o
ool0oooo05<0oooo00@000000?ooo`3oool000001`3oool00`000000oooo000000080?ooo`030000
003oool0oooo00T0oooo00<000000?ooo`3oool0GP3oool00`000000oooo0?ooo`0D0?ooo`030000
003oool0oooo08D0oooo001d0?ooo`030000003oool0oooo01<0oooo00<000000?ooo`3oool0E@3o
ool2000000P0oooo00<000000?ooo`0000000P0000060?ooo`<00000203oool00`000000oooo0?oo
o`1O0?ooo`030000003oool0oooo01<0oooo00<000000?ooo`3oool0QP3oool007@0oooo00<00000
0?ooo`3oool04`3oool00`000000oooo0?ooo`1O0?ooo`030000003oool0oooo00P0oooo00<00000
0?ooo`3oool0203oool00`000000oooo0?ooo`1P0?ooo`030000003oool0oooo0180oooo00<00000
0?ooo`3oool0QP3oool007D0oooo00<000000?ooo`3oool04@3oool00`000000oooo0?ooo`1Q0?oo
o`030000003oool0oooo00L0oooo0`0000070?ooo`030000003oool0oooo0640oooo00<000000?oo
o`3oool04@3oool00`000000oooo0?ooo`270?ooo`00M@3oool00`000000oooo0?ooo`0A0?ooo`03
0000003oool0oooo0640oooo00<000000?ooo`3oool01`3oool00`000000oooo0?ooo`070?ooo`03
0000003oool0oooo0640oooo00<000000?ooo`3oool04@3oool00`000000oooo0?ooo`270?ooo`00
MP3oool00`000000oooo0?ooo`0?0?ooo`030000003oool0oooo06<0oooo00<000000?ooo`3oool0
1P3oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo06<0oooo00<000000?ooo`3oool0
3`3oool00`000000oooo0?ooo`280?ooo`00M`3oool00`000000oooo0?ooo`0>0?ooo`030000003o
ool0oooo06@0oooo00<000000?ooo`3oool01@3oool3000000D0oooo00<000000?ooo`3oool0I03o
ool00`000000oooo0?ooo`0?0?ooo`030000003oool0oooo08P0oooo001g0?ooo`030000003oool0
oooo00d0oooo00<000000?ooo`3oool0F03oool2000000@0oooo0P0000040?ooo`8000001`3oool0
0`000000oooo0?ooo`050?ooo`030000003oool0oooo06D0oooo00<000000?ooo`3oool03@3oool0
0`000000oooo0?ooo`290?ooo`00N03oool00`000000oooo0?ooo`0<0?ooo`030000003oool0oooo
05L0oooo00@000000?ooo`3oool00000203oool010000000oooo0?ooo`0000060?ooo`030000003o
ool0oooo00@0oooo00<000000?ooo`3oool0I`3oool00`000000oooo0?ooo`0<0?ooo`030000003o
ool0oooo08T0oooo001i0?ooo`030000003oool0oooo00X0oooo00<000000?ooo`3oool0F03oool0
10000000oooo0?ooo`0000080?ooo`030000003oool0oooo008000001@3oool400000080oooo00<0
00000?ooo`3oool0J03oool00`000000oooo0?ooo`0;0?ooo`030000003oool0oooo08X0oooo001i
0?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3oool0F@3oool010000000oooo0?ooo`00
00090?ooo`80000000<0oooo0000003oool0103oool00`000000oooo0?ooo`030?ooo`030000003o
ool0oooo06T0oooo00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`2;0?ooo`00NP3oool0
0`000000oooo0?ooo`080?ooo`030000003oool0oooo05T0oooo00@000000?ooo`3oool00000203o
ool01P000000oooo0?ooo`000000oooo000000@0oooo0`0000020?ooo`030000003oool0oooo06/0
oooo00<000000?ooo`3oool01`3oool00`000000oooo0?ooo`2<0?ooo`00N`3oool00`000000oooo
0?ooo`060?ooo`030000003oool0oooo05/0oooo0P00000:0?ooo`8000000`3oool01@000000oooo
0?ooo`3oool0000000@0oooo00<000000?ooo`3oool0K03oool00`000000oooo0?ooo`050?ooo`03
0000003oool0oooo08d0oooo001l0?ooo`800000103oool200000700oooo00@000000?ooo`3oool0
00000`3oool00`000000oooo0?ooo`1]0?ooo`8000001@3oool00`000000oooo0?ooo`2>0?ooo`00
O@3oool600000780oooo1P00001b0?ooo`D00000T@3oool00?L0oooo00<000000?ooo`3oool0o`3o
ool:0?ooo`00m`3oool00`000000oooo0?ooo`3o0?ooo`X0oooo003]0?ooo`D000001@3oool30000
0?l0oooo2P3oool00>l0oooo00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`3o0?ooo`X0
oooo003_0?ooo`030000003oool0oooo00D0oooo1000003o0?ooo`T0oooo003_0?ooo`030000003o
ool0oooo00D0oooo00<000000?ooo`3oool0o`3oool:0?ooo`00k`3oool00`000000oooo0?ooo`05
0?ooo`030000003oool0oooo0?l0oooo2P3oool00>h0oooo0P0000070?ooo`<00000o`3oool:0?oo
o`00m`3oool00`000000oooo0?ooo`3o0?ooo`X0oooo003g0?ooo`030000003oool0oooo0?l0oooo
2P3oool00?L0oooo0`00003o0?ooo`X0oooo003g0?ooo`030000003oool0oooo0?l0oooo2P3oool0
0?L0oooo00<000000?ooo`3oool0o`3oool:0?ooo`00m`3oool300000?l0oooo2P3oool00?L0oooo
00<000000?ooo`3oool0o`3oool:0?ooo`00m`3oool00`000000oooo0?ooo`3o0?ooo`X0oooo003o
0?ooool0oooo1@3oool00?l0ooooo`3oool50?ooo`00o`3ooooo0?ooo`D0oooo003o0?ooool0oooo
1@3oool00?l0ooooo`3oool50?ooo`00o`3ooooo0?ooo`D0oooo003o0?ooool0oooo1@3oool00?l0
ooooo`3oool50?ooo`00o`3ooooo0?ooo`D0oooo003o0?ooool0oooo1@3oool00?l0ooooo`3oool5
0?ooo`00m@3oool200000?l0oooo3@3oool00?H0oooo00<000000?ooo`3oool0o`3oool;0?ooo`00
m`3oool00`000000oooo0?ooo`3o0?ooo`X0oooo003f0?ooo`030000003oool000000?l0oooo2`3o
ool00?D0oooo00@000000?ooo`3oool00000o`3oool;0?ooo`00m03oool3000000030?ooo`000000
00000?l0oooo2P3oool00?l0ooooo`3oool50?ooo`00o`3ooooo0?ooo`D0oooo003o0?ooool0oooo
1@3oool00?l0ooooo`3oool50?ooo`00o`3ooooo0?ooo`D0oooo0000\
\>"],
  ImageRangeCache->{{{100.813, 512.563}, {510.125, 428.625}} -> {-12.5252, \
9.69536, 0.0335258, 0.0186255}}]
}, Open  ]],

Cell["", "Input",
  CellFrame->{{0, 0}, {0.5, 0}}],

Cell[BoxData[{
    RowBox[{\(\:95a2\:6570\:3000f \((x)\)\), "=", "  ", 
      RowBox[{
        TagBox[
          StyleBox[
            RowBox[{"{", 
              StyleBox[GridBox[{
                    {\(1, \ \ \ \(\(|\)\(x\)\(|\)\(\(<\)\(1\)\(\ \ \ \ \ \ \)\
\)\)\)},
                    {\(0, \ \ \ \(\(1\)\(<\)\) | x | \(\(<\)\(2\)\)\)}
                    }],
                ShowAutoStyles->True]}],
            ShowAutoStyles->False],
          (#&)], "       ", 
        "\:306b\:3064\:3044\:3066\:8003\:3048\:307e\:3059\:ff0e"}]}], "\
\[IndentingNewLine]", 
  "\:3053\:306e\:30d5\:30fc\:30ea\:30a8\:7d1a\:6570\:306e\:90e8\:5206\:548c\
\:306e\:91cd\:306d\:304c\:304d\:3092\:3057\:3066\:3044\:307e\:3059\:ff0e", "\
\[IndentingNewLine]", \(ExpandAll\ \:3068\ Simplify\ \:3067\:306f\:7d50\:679c\
\:306e\:8868\:793a\:304c\:7570\:306a\:308b\:5834\:5408\:304c\:3042\:308a\:307e\
\:3059\:ff0e\), "\[IndentingNewLine]", \(\:30b0\:30e9\:30d5\:306e\:91cd\:306d\
\:304c\:304d\:3067\:306f\:ff0cEvaluate\ \:3092\:5fd8\:308c\:306a\:3044\:3088\
\:3046\:306b\:3057\:307e\:3059\:ff0e\)}], "Input",
  CellDingbat->"\[FilledSquare]",
  Background->RGBColor[0.644541, 0.957046, 0.898451],
  FontVariations->{"CompatibilityType"->0}],

Cell[CellGroupData[{

Cell[BoxData[
    \(ff = 
      Table[FourierTrigSeries[UnitStep[x + 1] - UnitStep[x - 1], x, 
            k, \[IndentingNewLine]FourierParameters \[Rule] {\(-1\), 
                1\/4}], {k, 2, 12, 5}] // ExpandAll\)], "Input",
  FontVariations->{"CompatibilityType"->0}],

Cell[BoxData[
    \({1\/2 + \(2\ Cos[\(\[Pi]\ x\)\/2]\)\/\[Pi], 
      1\/2 + \(2\ Cos[\(\[Pi]\ x\)\/2]\)\/\[Pi] - \(2\ Cos[\(3\ \[Pi]\ \
x\)\/2]\)\/\(3\ \[Pi]\) + \(2\ Cos[\(5\ \[Pi]\ x\)\/2]\)\/\(5\ \[Pi]\) - \(2\ \
Cos[\(7\ \[Pi]\ x\)\/2]\)\/\(7\ \[Pi]\), 
      1\/2 + \(2\ Cos[\(\[Pi]\ x\)\/2]\)\/\[Pi] - \(2\ Cos[\(3\ \[Pi]\ \
x\)\/2]\)\/\(3\ \[Pi]\) + \(2\ Cos[\(5\ \[Pi]\ x\)\/2]\)\/\(5\ \[Pi]\) - \(2\ \
Cos[\(7\ \[Pi]\ x\)\/2]\)\/\(7\ \[Pi]\) + \(2\ Cos[\(9\ \[Pi]\ x\)\/2]\)\/\(9\
\ \[Pi]\) - \(2\ Cos[\(11\ \[Pi]\ x\)\/2]\)\/\(11\ \[Pi]\)}\)], "Output"]
}, Open  ]],

Cell["\<\
Plot[ff//Evaluate,{x,-6,6},AxesLabel->{\"x\",\"y\"},PlotRange->{-0.2,1.2},\
AspectRatio->0.2];\
\>", "Input",
  FontVariations->{"CompatibilityType"->0}],

Cell[BoxData[
    \(\:3053\:306e\:30d5\:30fc\:30ea\:30a8\:7d1a\:6570\:306e\:7b2c\:ff4e\:90e8\
\:5206\:548c\ \ \(S\_n\) \((x)\) \:3092\:6b21\:306e\:3088\:3046\:306b\:5165\
\:529b \((\:5b9a\:7fa9)\) \:3057\:307e\:3059\:ff0e\)], "Input",
  FontVariations->{"CompatibilityType"->0}],

Cell[BoxData[
    \(\(f[n_] := 
        1\/2 + \[Sum]\+\(k = 1\)\%n\(\((\(-1\))\)\^\(k - 
                    1\)\) \(2\/\(\((2  k - 1)\) \[Pi]\)\) 
              Cos[\(\((2  k - 1)\)\ \[Pi]\ x\)\/2];\)\)], "Input",
  FontVariations->{"CompatibilityType"->0}],

Cell["\<\
Plot[f[20]//Evaluate,{x,-2,2},AxesLabel->{\"x\",\"y\"},PlotRange->{-0.2,1.2}];\
\
\>", "Input",
  FontVariations->{"CompatibilityType"->0}],

Cell["", "Input",
  CellDingbat->"\[FilledSmallSquare]",
  FontVariations->{"CompatibilityType"->0}],

Cell[BoxData[{\(\:3000f \((x)\)\ \:306e\:4e0d\:9023\:7d9a\:70b9\ x = \(\
\[PlusMinus]1\)\ \:306e\:8fd1\:304f\:3067\:306f\:ff0c\:4e00\:69d8\:53ce\:675f\
\:3057\:307e\:305b\:3093\:ff0e\ n\ \:3092\:5927\:304d\:304f\:3057\:3066\:3082\
\:ff0c\), "\n", \(x = \(\[PlusMinus]1\)\ \:306e\:8fd1\:304f\:3067\:306f\:ff0c\
\:4e0a\:306e\:4f8b\:306e\:30b0\:30e9\:30d5\:306e\:3088\:3046\:306a\:632f\:52d5\
\:3092\:3057\:3066\:ff0c\), "\[IndentingNewLine]", 
    RowBox[{"1", " ", "\:307e\:305f\:306f", " ", "0", " ", 
      StyleBox[
        RowBox[{
        "\:306b\:306a\:308a\:307e\:305b\:3093\:ff0e\:3053\:308c\:3092\:ff0c", 
          
          StyleBox["\:30ae\:30d6\:30b9\:73fe\:8c61",
            FontWeight->"Bold"]}]], \((Gibbs)\), 
      "\:3068\:3044\:3044\:307e\:3059\:ff0e"}], "\[IndentingNewLine]", \(\
\:3000\:305f\:3060\:3057\:ff0c \( f \((1 - 0)\) + f \((1 + 0)\)\)\/2 = 
      1\/2, \(f \((\(-1\) - 0)\) + f \((\(-1\) + 0)\)\)\/2 = 
      1\/2\ \:3067\:3059\:ff0e\)}], "Input"],

Cell["\:3053\:306e\:30d5\:30fc\:30ea\:30a8\:7d1a\:6570\:306e\:8868\:3059\:30b0\
\:30e9\:30d5\:306f\:6b21\:306e\:3088\:3046\:306b\:306a\:308a\:307e\:3059\:ff0e\
", "Input",
  CellDingbat->"\[FilledSmallSquare]"],

Cell["\<\
Needs[\"Graphics`Graphics`\"];Needs[\"Graphics`MultipleListPlot`\"];\
\>", "Input"],

Cell["\<\
li1={{-5,1},{-3,1}};li2={{-1,1},{1,1}};li3={{3,1},{5,1}};
li4={{-7,0},{-5,0}};li5={{-3,0},{-1,0}};li6={{1,0},{3,0}};
li7={{5,0},{7,0}};
pos={{-5,0.5},{-3,0.5},{-1,0.5},{1,0.5},{3,0.5},{5,0.5}};
DisplayTogether[
  MultipleListPlot[li1,li2,li3,li4,li5,li6,li7, PlotJoined -> True,
 PlotStyle -> {Thickness[0.01]},
 SymbolShape -> {MakeSymbol[RegularPolygon[10,3]]}],
  ListPlot[pos,PlotStyle -> {Hue[0], PointSize[.02]}],
PlotRange->{{-7,7},{0,1.2}},AxesLabel->{\"x\",\"y\"},AspectRatio->0.2];\
\>", "Input"],

Cell[BoxData[""], "Input"],

Cell[BoxData[
    \(\:ff12\:91cd\:30d5\:30fc\:30ea\:30a8\:7d1a\:6570\:306e\:4f8b\)], "Input",\

  CellDingbat->"\[FilledSquare]",
  Background->RGBColor[0.644541, 0.957046, 0.898451],
  FontVariations->{"CompatibilityType"->0}],

Cell[BoxData[
    \(xx = 1; yy = 1; f[x_, y_] := x^3\  + y^2; k = 10;\)], "Input"],

Cell[BoxData[
    \(\(A[m_, 
          n_] := \(1\/\(4  
                xx\ yy\)\) \
\(\[Integral]\_\(-xx\)\%xx\(\[Integral]\_\(-yy\)\%yy f[x, 
                  y]\ \(\[ExponentialE]\^\(\(-\[ImaginaryI]\) \((\(m\ \[Pi]\ \
x\)\/xx + \(n\ \[Pi]\ y\)\/yy)\)\)\) \[DifferentialD]x \[DifferentialD]y\)\)\ \
;\)\)], "Input"],

Cell[CellGroupData[{

Cell[BoxData[
    \(zu = \[Sum]\+\(m = \(-k\)\)\%k\(\[Sum]\+\(n = \(-k\)\)\%k A[m, 
                n]\ \[ExponentialE]\^\(\[ImaginaryI] \((\(m\ \[Pi]\ x\)\/xx + \
\(n\ \[Pi]\ y\)\/yy)\)\)\) // ExpToTrig; Short[zu, 2]; 
    Short[zu, 2]\)], "Input"],

Cell[BoxData[
    TagBox[\(1\/3 - \(4\ Cos[\[Pi]\ y]\)\/\[Pi]\^2 + \[LeftSkeleton]40\
\[RightSkeleton] + \(3\ Sin[10\ \[Pi]\ x]\)\/\(250\ \[Pi]\^3\) - 
        Sin[10\ \[Pi]\ x]\/\(5\ \[Pi]\)\),
      (Short[ #, 2]&)]], "Output"]
}, Open  ]],

Cell[BoxData[
    \(\(Plot3D[zu, {x, \(-xx\), xx}, {y, \(-yy\), yy}, 
        AxesLabel \[Rule] {"\<x\>", "\<y\>", "\<z\>"}, 
        PlotPoints \[Rule] 30];\)\)], "Input"],

Cell["", "Input",
  CellFrame->{{0, 0}, {0, 0.5}}],

Cell["\:6f14\:7fd2\:554f\:984c\:ff12\:2212\:ff11\:30002.(1) (p.52)", "Input"],

Cell[CellGroupData[{

Cell[BoxData[
    \(f21 = 
      FourierTrigSeries[Sign[x], x, 6, 
        FourierParameters \[Rule] {\(-1\), 1\/4}]\)], "Input"],

Cell[BoxData[
    \(\(4\ Sin[\(\[Pi]\ x\)\/2]\)\/\[Pi] + \(4\ Sin[\(3\ \[Pi]\ \
x\)\/2]\)\/\(3\ \[Pi]\) + \(4\ Sin[\(5\ \[Pi]\ x\)\/2]\)\/\(5\ \[Pi]\)\)], \
"Output"]
}, Open  ]],

Cell["\:30002.(2)", "Input"],

Cell[CellGroupData[{

Cell[BoxData[
    \(f22 = 
      FourierTrigSeries[\((1 + x)\) \((1 - x)\), x, 6, 
        FourierParameters \[Rule] {\(-1\), 1\/2}]\)], "Input"],

Cell[BoxData[
    \(2\/3 + \(4\ Cos[\[Pi]\ x]\)\/\[Pi]\^2 - 
      Cos[2\ \[Pi]\ x]\/\[Pi]\^2 + \(4\ Cos[3\ \[Pi]\ x]\)\/\(9\ \[Pi]\^2\) - 
      Cos[4\ \[Pi]\ x]\/\(4\ \[Pi]\^2\) + \(4\ Cos[5\ \[Pi]\ x]\)\/\(25\ \
\[Pi]\^2\) - Cos[6\ \[Pi]\ x]\/\(9\ \[Pi]\^2\)\)], "Output"]
}, Open  ]],

Cell["\:30002.(3)", "Input"],

Cell[CellGroupData[{

Cell[BoxData[
    \(f23 = 
      FourierTrigSeries[If[x > 0, 1 - x, \(-x\)], x, 6, 
        FourierParameters \[Rule] {\(-1\), 1\/1}]\)], "Input"],

Cell[BoxData[
    \(1\/2 + Sin[2\ \[Pi]\ x]\/\[Pi] + Sin[4\ \[Pi]\ x]\/\(2\ \[Pi]\) + 
      Sin[6\ \[Pi]\ x]\/\(3\ \[Pi]\) + Sin[8\ \[Pi]\ x]\/\(4\ \[Pi]\) + 
      Sin[10\ \[Pi]\ x]\/\(5\ \[Pi]\) + 
      Sin[12\ \[Pi]\ x]\/\(6\ \[Pi]\)\)], "Output"]
}, Open  ]],

Cell["\:30002.(4)", "Input"],

Cell[CellGroupData[{

Cell[BoxData[
    \(f24 = 
      FourierTrigSeries[If[\(-1\) < x < 1, \(-1\), 0], x, 10, 
        FourierParameters \[Rule] {\(-1\), 1\/3}]\)], "Input"],

Cell[BoxData[
    \(\(-\(2\/3\)\) - \(\@3\ Cos[\(2\ \[Pi]\ x\)\/3]\)\/\[Pi] + \(\@3\ \
Cos[\(4\ \[Pi]\ x\)\/3]\)\/\(2\ \[Pi]\) - \(\@3\ Cos[\(8\ \[Pi]\ \
x\)\/3]\)\/\(4\ \[Pi]\) + \(\@3\ Cos[\(10\ \[Pi]\ x\)\/3]\)\/\(5\ \[Pi]\) - \
\(\@3\ Cos[\(14\ \[Pi]\ x\)\/3]\)\/\(7\ \[Pi]\) + \(\@3\ Cos[\(16\ \[Pi]\ x\)\
\/3]\)\/\(8\ \[Pi]\) - \(\@3\ Cos[\(20\ \[Pi]\ x\)\/3]\)\/\(10\ \[Pi]\)\)], \
"Output"]
}, Open  ]],

Cell[BoxData[""], "Input",
  CellFrame->{{0, 0}, {0, 0.5}}],

Cell[BoxData[""], "Input"]
},
FrontEndVersion->"4.1 for Microsoft Windows",
ScreenRectangle->{{0, 1024}, {0, 695}},
WindowToolbars->"RulerBar",
WindowSize->{595, 599},
WindowMargins->{{50, Automatic}, {15, Automatic}},
PrintingCopies->1,
PrintingPageRange->{Automatic, Automatic},
PrintingOptions->{"PrintingMargins"->{{113.313, 113.313}, {99.1875, \
99.1875}},
"PrintCellBrackets"->False,
"PrintRegistrationMarks"->True,
"PrintMultipleHorizontalPages"->False}
]

(*******************************************************************
Cached data follows.  If you edit this Notebook file directly, not
using Mathematica, you must remove the line containing CacheID at
the top of  the file.  The cache data will then be recreated when
you save this file from within Mathematica.
*******************************************************************)

(*CellTagsOutline
CellTagsIndex->{}
*)

(*CellTagsIndex
CellTagsIndex->{}
*)

(*NotebookFileOutline
Notebook[{
Cell[1705, 50, 427, 15, 33, "Input"],
Cell[2135, 67, 26, 0, 30, "Input"],
Cell[2164, 69, 153, 2, 30, "Input"],
Cell[2320, 73, 98, 1, 30, "Input"],
Cell[2421, 76, 1434, 26, 229, "Input"],
Cell[3858, 104, 491, 10, 86, "Input"],

Cell[CellGroupData[{
Cell[4374, 118, 189, 4, 63, "Input"],
Cell[4566, 124, 206, 3, 42, "Output"]
}, Open  ]],
Cell[4787, 130, 398, 6, 85, "Input"],
Cell[5188, 138, 147, 2, 30, "Input"],

Cell[CellGroupData[{
Cell[5360, 144, 135, 3, 30, "Input"],
Cell[5498, 149, 20534, 588, 96, 6575, 411, "GraphicsData", "PostScript", \
"Graphics"]
}, Open  ]],
Cell[26047, 740, 61, 1, 30, "Input"],
Cell[26111, 743, 1060, 25, 118, "Input"],

Cell[CellGroupData[{
Cell[27196, 772, 292, 5, 105, "Input"],
Cell[27491, 779, 279, 5, 48, "Output"]
}, Open  ]],

Cell[CellGroupData[{
Cell[27807, 789, 135, 3, 30, "Input"],
Cell[27945, 794, 24502, 828, 99, 10221, 647, "GraphicsData", "PostScript", \
"Graphics"]
}, Open  ]],
Cell[52462, 1625, 61, 1, 30, "Input"],
Cell[52526, 1628, 582, 15, 57, "Input"],

Cell[CellGroupData[{
Cell[53133, 1647, 301, 6, 85, "Input"],
Cell[53437, 1655, 430, 7, 110, "Output"]
}, Open  ]],

Cell[CellGroupData[{
Cell[53904, 1667, 121, 1, 30, "Input"],
Cell[54028, 1670, 22519, 641, 109, 7222, 448, "GraphicsData", "PostScript", \
"Graphics"]
}, Open  ]],
Cell[76562, 2314, 61, 1, 30, "Input"],
Cell[76626, 2317, 635, 16, 57, "Input"],

Cell[CellGroupData[{
Cell[77286, 2337, 301, 6, 85, "Input"],
Cell[77590, 2345, 362, 6, 76, "Output"]
}, Open  ]],

Cell[CellGroupData[{
Cell[77989, 2356, 153, 4, 48, "Input"],
Cell[78145, 2362, 24465, 846, 112, 10460, 669, "GraphicsData", "PostScript", \
"Graphics"]
}, Open  ]],
Cell[102625, 3211, 50, 1, 38, "Input"],
Cell[102678, 3214, 1220, 25, 118, "Input"],

Cell[CellGroupData[{
Cell[103923, 3243, 273, 5, 84, "Input"],
Cell[104199, 3250, 565, 8, 138, "Output"]
}, Open  ]],
Cell[104779, 3261, 163, 4, 48, "Input"],
Cell[104945, 3267, 278, 4, 30, "Input"],
Cell[105226, 3273, 259, 5, 49, "Input"],
Cell[105488, 3280, 149, 4, 48, "Input"],
Cell[105640, 3286, 100, 2, 30, "Input"],
Cell[105743, 3290, 981, 16, 137, "Input"],
Cell[106727, 3308, 210, 3, 30, "Input"],
Cell[106940, 3313, 93, 2, 30, "Input"],
Cell[107036, 3317, 516, 11, 192, "Input"],
Cell[107555, 3330, 26, 0, 30, "Input"],
Cell[107584, 3332, 227, 5, 46, "Input"],
Cell[107814, 3339, 82, 1, 30, "Input"],
Cell[107899, 3342, 320, 7, 47, "Input"],

Cell[CellGroupData[{
Cell[108244, 3353, 249, 4, 85, "Input"],
Cell[108496, 3359, 229, 4, 42, "Output"]
}, Open  ]],
Cell[108740, 3366, 172, 3, 50, "Input"],
Cell[108915, 3371, 50, 1, 38, "Input"],
Cell[108968, 3374, 77, 0, 30, "Input"],

Cell[CellGroupData[{
Cell[109070, 3378, 129, 3, 42, "Input"],
Cell[109202, 3383, 166, 3, 50, "Output"]
}, Open  ]],
Cell[109383, 3389, 28, 0, 30, "Input"],

Cell[CellGroupData[{
Cell[109436, 3393, 145, 3, 42, "Input"],
Cell[109584, 3398, 275, 4, 76, "Output"]
}, Open  ]],
Cell[109874, 3405, 28, 0, 30, "Input"],

Cell[CellGroupData[{
Cell[109927, 3409, 146, 3, 64, "Input"],
Cell[110076, 3414, 252, 4, 76, "Output"]
}, Open  ]],
Cell[110343, 3421, 28, 0, 30, "Input"],

Cell[CellGroupData[{
Cell[110396, 3425, 152, 3, 64, "Input"],
Cell[110551, 3430, 398, 6, 98, "Output"]
}, Open  ]],
Cell[110964, 3439, 59, 1, 38, "Input"],
Cell[111026, 3442, 26, 0, 30, "Input"]
}
]
*)



(*******************************************************************
End of Mathematica Notebook file.
*******************************************************************)