(*^ ::[ frontEndVersion = "Microsoft Windows Mathematica Notebook Front End Version 2.2"; microsoftWindowsStandardFontEncoding; fontset = title, "MS Serif", 18, L0, center, nohscroll, R32768; fontset = subtitle, "MS Serif", 14, L0, center, nohscroll, R32768; fontset = subsubtitle, "MS Serif", 12, L0, center, nohscroll; fontset = section, "MS Serif", 14, L0, B65280, grayBox; fontset = subsection, "MS Serif", 12, L0, B65280, blackBox; fontset = subsubsection, "MS Serif", 12, L0, B65280, whiteBox; fontset = text, "MS Serif", 12, L0, B65280; fontset = smalltext, "MS Sans Serif", 10, L0, B65280; fontset = input, "Courier New", 10, L0, nowordwrap; fontset = output, "Courier New", 10, L0, nowordwrap; fontset = message, "Courier New", 10, L0, nowordwrap, R65280; fontset = print, "Courier New", 10, L0, nowordwrap, G32768, B32768; fontset = info, "Courier New", 10, L0, nowordwrap, R32768, B32768; fontset = postscript, "Courier New", 8, L0, nowordwrap; fontset = name, "Helv", 10, L0, nohscroll, italic, B65280; fontset = header, "Helv", 18, L0, nohscroll, bold; fontset = footer, "Helv", 18, L0, center, nohscroll, bold; fontset = help, "Helv", 10, L0, nohscroll; fontset = clipboard, "Helv", 12, L0, nohscroll; fontset = completions, "Helv", 12, L0, nowordwrap, nohscroll; fontset = graphics, "Courier New", 10, L0, nowordwrap, nohscroll; fontset = special1, "Helv", 12, L0, nowordwrap, nohscroll; fontset = special2, "Helv", 12, L0, center, nowordwrap, nohscroll; fontset = special3, "Helv", 12, L0, right, nowordwrap, nohscroll; fontset = special4, "Helv", 12, L0, nowordwrap, nohscroll; fontset = special5, "Helv", 12, L0, nowordwrap, nohscroll; fontset = leftheader, "Helv", 12, L0, nowordwrap, nohscroll; fontset = leftfooter, "Helv", 12, L0, nowordwrap, nohscroll; fontset = reserved1, "Courier New", 10, L0, nowordwrap, nohscroll;] :[font = section; inactive; ] Examples of the use of the package "Riemann.m". :[font = input; nowordwrap; ] < Automatic}, {Partition -> Uniform}] :[font = print; inactive; formatted; output; nowordwrap; ] No Input Form Generated ;[o] Uniform partition into 12 subdivisions :[font = print; inactive; formatted; output; nowordwrap; ] No Input Form Generated ;[o] Height at midpoint of subdivision :[font = postscript; inactive; output; BITMAP; PostScript; pictureLeft = 100; pictureTop = 0; pictureWidth = 296; pictureHeight = 300; nowordwrap; ] %! %%Creator: Mathematica %%AspectRatio: 1.01422 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations -0.214286 0.238095 0.0241481 0.238095 [ [(2)] .2619 .02415 0 2 Msboxa [(3)] .5 .02415 0 2 Msboxa [(4)] .7381 .02415 0 2 Msboxa [(5)] .97619 .02415 0 2 Msboxa [(Mesh = 0.333333)(Riemann Sum = 9.68537)(Definite Integral = 9.70101)] .5 1.01422 0 -2 Msboxa [(1)] .01131 .26224 1 0 Msboxa [(2)] .01131 .50034 1 0 Msboxa [(3)] .01131 .73843 1 0 Msboxa [(4)] .01131 .97653 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 1.01522 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .2619 .02415 m .2619 .0304 L s P [(2)] .2619 .02415 0 2 Mshowa p .002 w .5 .02415 m .5 .0304 L s P [(3)] .5 .02415 0 2 Mshowa p .002 w .7381 .02415 m .7381 .0304 L s P [(4)] .7381 .02415 0 2 Mshowa p .002 w .97619 .02415 m .97619 .0304 L s P [(5)] .97619 .02415 0 2 Mshowa p .001 w .07143 .02415 m .07143 .0279 L s P p .001 w .11905 .02415 m .11905 .0279 L s P p .001 w .16667 .02415 m .16667 .0279 L s P p .001 w .21429 .02415 m .21429 .0279 L s P p .001 w .30952 .02415 m .30952 .0279 L s P p .001 w .35714 .02415 m .35714 .0279 L s P p .001 w .40476 .02415 m .40476 .0279 L s P p .001 w .45238 .02415 m .45238 .0279 L s P p .001 w .54762 .02415 m .54762 .0279 L s P p .001 w .59524 .02415 m .59524 .0279 L s P p .001 w .64286 .02415 m .64286 .0279 L s P p .001 w .69048 .02415 m .69048 .0279 L s P p .001 w .78571 .02415 m .78571 .0279 L s P p .001 w .83333 .02415 m .83333 .0279 L s P p .001 w .88095 .02415 m .88095 .0279 L s P p .001 w .92857 .02415 m .92857 .0279 L s P p .002 w 0 .02415 m 1 .02415 L s P [(Mesh = 0.333333)(Riemann Sum = 9.68537)(Definite Integral = 9.70101)] .5 1.01422 0 -2 Mshowa p .002 w .02381 .26224 m .03006 .26224 L s P [(1)] .01131 .26224 1 0 Mshowa p .002 w .02381 .50034 m .03006 .50034 L s P [(2)] .01131 .50034 1 0 Mshowa p .002 w .02381 .73843 m .03006 .73843 L s P [(3)] .01131 .73843 1 0 Mshowa p .002 w .02381 .97653 m .03006 .97653 L s P [(4)] .01131 .97653 1 0 Mshowa p .001 w .02381 .07177 m .02756 .07177 L s P p .001 w .02381 .11939 m .02756 .11939 L s P p .001 w .02381 .16701 m .02756 .16701 L s P p .001 w .02381 .21462 m .02756 .21462 L s P p .001 w .02381 .30986 m .02756 .30986 L s P p .001 w .02381 .35748 m .02756 .35748 L s P p .001 w .02381 .4051 m .02756 .4051 L s P p .001 w .02381 .45272 m .02756 .45272 L s P p .001 w .02381 .54796 m .02756 .54796 L s P p .001 w .02381 .59558 m .02756 .59558 L s P p .001 w .02381 .6432 m .02756 .6432 L s P p .001 w .02381 .69081 m .02756 .69081 L s P p .001 w .02381 .78605 m .02756 .78605 L s P p .001 w .02381 .83367 m .02756 .83367 L s P p .001 w .02381 .88129 m .02756 .88129 L s P p .001 w .02381 .92891 m .02756 .92891 L s P p .002 w .02381 0 m .02381 1.01422 L s P P 0 0 m 1 0 L 1 1.01422 L 0 1.01422 L closepath clip newpath p p 0 0 1 r p .004 w .02381 .8514 m .06349 .68357 L .08333 .60731 L .10317 .54061 L .12302 .48621 L .13294 .4643 L .14286 .44616 L .15278 .43194 L .1627 .42169 L .16766 .41807 L .17014 .41663 L .17262 .41543 L .1751 .41449 L .17758 .41379 L .17882 .41353 L .18006 .41333 L .1813 .41319 L .18254 .41312 L .18378 .4131 L .18502 .41314 L .18626 .41324 L .1875 .41341 L .18998 .41391 L .19122 .41424 L .19246 .41464 L .19742 .41679 L .20238 .41984 L .20734 .42375 L .2123 .42851 L .22222 .44038 L .24206 .47246 L .2619 .51318 L .30159 .60667 L .32143 .65213 L .34127 .69204 L .35119 .70892 L .36111 .72332 L .37103 .73493 L .37599 .73961 L .38095 .74351 L .38591 .74661 L .38839 .74786 L .39087 .74889 L .39335 .74972 L .39459 .75005 L .39583 .75033 L .39707 .75056 L .39831 .75074 L .39955 .75086 L .40079 .75093 L Mistroke .40203 .75094 L .40327 .7509 L .40451 .75081 L .40575 .75066 L .40823 .75021 L .40947 .7499 L .41071 .74954 L .41567 .74756 L .41815 .74625 L .42063 .74472 L .43056 .73649 L .44048 .72497 L .46032 .69266 L .48016 .64963 L .5 .59846 L .53968 .48465 L .55952 .42922 L .57937 .37963 L .58929 .35807 L .59921 .33919 L .60913 .32331 L .61905 .31073 L .62401 .30575 L .62897 .30169 L .63145 .30001 L .63393 .29856 L .63641 .29736 L .63889 .29639 L .64013 .296 L .64137 .29567 L .64261 .2954 L .64385 .29519 L .64509 .29504 L .64633 .29496 L .64757 .29494 L .64881 .29497 L .65005 .29507 L .65129 .29524 L .65377 .29575 L .65501 .2961 L .65625 .29651 L .65873 .29752 L .66369 .30029 L .66865 .30406 L .67857 .31455 L .68849 .32892 L .69841 .34701 L .71825 .39354 L .7381 .45195 L .77778 .59257 L Mistroke .81746 .74147 L .8373 .81 L .85714 .87029 L .87698 .91977 L .8869 .93987 L .89683 .95666 L .90675 .97004 L .91171 .97544 L .91667 .97998 L .92163 .98366 L .92659 .9865 L .92907 .9876 L .93155 .9885 L .93403 .9892 L .93527 .98947 L .93651 .98969 L .93775 .98986 L .93899 .98998 L .94023 .99005 L .94147 .99007 L .94271 .99005 L .94395 .98997 L .94519 .98985 L .94643 .98968 L .94891 .9892 L .95139 .98853 L .95635 .98666 L .96131 .9841 L .96627 .98088 L .97619 .97263 L Mfstroke P P p .8 .3 0 r p .004 w .02381 .02415 m .10317 .02415 L .10317 .68357 L .02381 .68357 L .02381 .02415 L s .10317 .02415 m .18254 .02415 L .18254 .44616 L .10317 .44616 L .10317 .02415 L s .18254 .02415 m .2619 .02415 L .2619 .44038 L .18254 .44038 L .18254 .02415 L s .2619 .02415 m .34127 .02415 L .34127 .60667 L .2619 .60667 L .2619 .02415 L s .34127 .02415 m .42063 .02415 L .42063 .74351 L .34127 .74351 L .34127 .02415 L s .42063 .02415 m .5 .02415 L .5 .69266 L .42063 .69266 L .42063 .02415 L s .5 .02415 m .57937 .02415 L .57937 .48465 L .5 .48465 L .5 .02415 L s .57937 .02415 m .65873 .02415 L .65873 .31073 L .57937 .31073 L .57937 .02415 L s .65873 .02415 m .7381 .02415 L .7381 .34701 L .65873 .34701 L .65873 .02415 L s .7381 .02415 m .81746 .02415 L .81746 .59257 L .7381 .59257 L .7381 .02415 L s .81746 .02415 m .89683 .02415 L .89683 .87029 L .81746 .87029 L .81746 .02415 L s .89683 .02415 m .97619 .02415 L .97619 .98969 L .89683 .98969 L .89683 .02415 L s P P P % End of Graphics MathPictureEnd :[font = output; inactive; formatted; output; endGroup; nowordwrap; ] No Input Form was saved for this expression. ;[o] -Graphics- :[font = input; startGroup; nowordwrap; ] PlotRiemann[e,{x,1,5},{AspectRatio -> Automatic}, {Partition -> Random,Height -> Random}] :[font = print; inactive; formatted; output; nowordwrap; ] No Input Form Generated ;[o] Random partition with maximum mesh 0.666667 :[font = print; inactive; formatted; output; nowordwrap; ] No Input Form Generated ;[o] Height at random point in subdivision :[font = postscript; inactive; output; BITMAP; PostScript; pictureLeft = 100; pictureTop = 0; pictureWidth = 296; pictureHeight = 300; nowordwrap; ] %! %%Creator: Mathematica %%AspectRatio: 1.01422 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations -0.214286 0.238095 0.0241481 0.238095 [ [(2)] .2619 .02415 0 2 Msboxa [(3)] .5 .02415 0 2 Msboxa [(4)] .7381 .02415 0 2 Msboxa [(5)] .97619 .02415 0 2 Msboxa [(Mesh = 0.632703)(Riemann Sum = 9.24237)(Definite Integral = 9.70101)] .5 1.01422 0 -2 Msboxa [(1)] .01131 .26224 1 0 Msboxa [(2)] .01131 .50034 1 0 Msboxa [(3)] .01131 .73843 1 0 Msboxa [(4)] .01131 .97653 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 1.01522 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .2619 .02415 m .2619 .0304 L s P [(2)] .2619 .02415 0 2 Mshowa p .002 w .5 .02415 m .5 .0304 L s P [(3)] .5 .02415 0 2 Mshowa p .002 w .7381 .02415 m .7381 .0304 L s P [(4)] .7381 .02415 0 2 Mshowa p .002 w .97619 .02415 m .97619 .0304 L s P [(5)] .97619 .02415 0 2 Mshowa p .001 w .07143 .02415 m .07143 .0279 L s P p .001 w .11905 .02415 m .11905 .0279 L s P p .001 w .16667 .02415 m .16667 .0279 L s P p .001 w .21429 .02415 m .21429 .0279 L s P p .001 w .30952 .02415 m .30952 .0279 L s P p .001 w .35714 .02415 m .35714 .0279 L s P p .001 w .40476 .02415 m .40476 .0279 L s P p .001 w .45238 .02415 m .45238 .0279 L s P p .001 w .54762 .02415 m .54762 .0279 L s P p .001 w .59524 .02415 m .59524 .0279 L s P p .001 w .64286 .02415 m .64286 .0279 L s P p .001 w .69048 .02415 m .69048 .0279 L s P p .001 w .78571 .02415 m .78571 .0279 L s P p .001 w .83333 .02415 m .83333 .0279 L s P p .001 w .88095 .02415 m .88095 .0279 L s P p .001 w .92857 .02415 m .92857 .0279 L s P p .002 w 0 .02415 m 1 .02415 L s P [(Mesh = 0.632703)(Riemann Sum = 9.24237)(Definite Integral = 9.70101)] .5 1.01422 0 -2 Mshowa p .002 w .02381 .26224 m .03006 .26224 L s P [(1)] .01131 .26224 1 0 Mshowa p .002 w .02381 .50034 m .03006 .50034 L s P [(2)] .01131 .50034 1 0 Mshowa p .002 w .02381 .73843 m .03006 .73843 L s P [(3)] .01131 .73843 1 0 Mshowa p .002 w .02381 .97653 m .03006 .97653 L s P [(4)] .01131 .97653 1 0 Mshowa p .001 w .02381 .07177 m .02756 .07177 L s P p .001 w .02381 .11939 m .02756 .11939 L s P p .001 w .02381 .16701 m .02756 .16701 L s P p .001 w .02381 .21462 m .02756 .21462 L s P p .001 w .02381 .30986 m .02756 .30986 L s P p .001 w .02381 .35748 m .02756 .35748 L s P p .001 w .02381 .4051 m .02756 .4051 L s P p .001 w .02381 .45272 m .02756 .45272 L s P p .001 w .02381 .54796 m .02756 .54796 L s P p .001 w .02381 .59558 m .02756 .59558 L s P p .001 w .02381 .6432 m .02756 .6432 L s P p .001 w .02381 .69081 m .02756 .69081 L s P p .001 w .02381 .78605 m .02756 .78605 L s P p .001 w .02381 .83367 m .02756 .83367 L s P p .001 w .02381 .88129 m .02756 .88129 L s P p .001 w .02381 .92891 m .02756 .92891 L s P p .002 w .02381 0 m .02381 1.01422 L s P P 0 0 m 1 0 L 1 1.01422 L 0 1.01422 L closepath clip newpath p p 0 0 1 r p .004 w .02381 .8514 m .06349 .68357 L .08333 .60731 L .10317 .54061 L .12302 .48621 L .13294 .4643 L .14286 .44616 L .15278 .43194 L .1627 .42169 L .16766 .41807 L .17014 .41663 L .17262 .41543 L .1751 .41449 L .17758 .41379 L .17882 .41353 L .18006 .41333 L .1813 .41319 L .18254 .41312 L .18378 .4131 L .18502 .41314 L .18626 .41324 L .1875 .41341 L .18998 .41391 L .19122 .41424 L .19246 .41464 L .19742 .41679 L .20238 .41984 L .20734 .42375 L .2123 .42851 L .22222 .44038 L .24206 .47246 L .2619 .51318 L .30159 .60667 L .32143 .65213 L .34127 .69204 L .35119 .70892 L .36111 .72332 L .37103 .73493 L .37599 .73961 L .38095 .74351 L .38591 .74661 L .38839 .74786 L .39087 .74889 L .39335 .74972 L .39459 .75005 L .39583 .75033 L .39707 .75056 L .39831 .75074 L .39955 .75086 L .40079 .75093 L Mistroke .40203 .75094 L .40327 .7509 L .40451 .75081 L .40575 .75066 L .40823 .75021 L .40947 .7499 L .41071 .74954 L .41567 .74756 L .41815 .74625 L .42063 .74472 L .43056 .73649 L .44048 .72497 L .46032 .69266 L .48016 .64963 L .5 .59846 L .53968 .48465 L .55952 .42922 L .57937 .37963 L .58929 .35807 L .59921 .33919 L .60913 .32331 L .61905 .31073 L .62401 .30575 L .62897 .30169 L .63145 .30001 L .63393 .29856 L .63641 .29736 L .63889 .29639 L .64013 .296 L .64137 .29567 L .64261 .2954 L .64385 .29519 L .64509 .29504 L .64633 .29496 L .64757 .29494 L .64881 .29497 L .65005 .29507 L .65129 .29524 L .65377 .29575 L .65501 .2961 L .65625 .29651 L .65873 .29752 L .66369 .30029 L .66865 .30406 L .67857 .31455 L .68849 .32892 L .69841 .34701 L .71825 .39354 L .7381 .45195 L .77778 .59257 L Mistroke .81746 .74147 L .8373 .81 L .85714 .87029 L .87698 .91977 L .8869 .93987 L .89683 .95666 L .90675 .97004 L .91171 .97544 L .91667 .97998 L .92163 .98366 L .92659 .9865 L .92907 .9876 L .93155 .9885 L .93403 .9892 L .93527 .98947 L .93651 .98969 L .93775 .98986 L .93899 .98998 L .94023 .99005 L .94147 .99007 L .94271 .99005 L .94395 .98997 L .94519 .98985 L .94643 .98968 L .94891 .9892 L .95139 .98853 L .95635 .98666 L .96131 .9841 L .96627 .98088 L .97619 .97263 L Mfstroke P P p .8 .3 0 r p .004 w .02381 .02415 m .17333 .02415 L .17333 .63668 L .02381 .63668 L .02381 .02415 L s .17333 .02415 m .24204 .02415 L .24204 .42182 L .17333 .42182 L .17333 .02415 L s .24204 .02415 m .39268 .02415 L .39268 .70594 L .24204 .70594 L .24204 .02415 L s .39268 .02415 m .49495 .02415 L .49495 .75066 L .39268 .75066 L .39268 .02415 L s .49495 .02415 m .614 .02415 L .614 .32137 L .49495 .32137 L .49495 .02415 L s .614 .02415 m .68716 .02415 L .68716 .29497 L .614 .29497 L .614 .02415 L s .68716 .02415 m .80273 .02415 L .80273 .41951 L .68716 .41951 L .68716 .02415 L s .80273 .02415 m .94875 .02415 L .94875 .71476 L .80273 .71476 L .80273 .02415 L s .94875 .02415 m .97619 .02415 L .97619 .98244 L .94875 .98244 L .94875 .02415 L s P P P % End of Graphics MathPictureEnd :[font = output; inactive; formatted; output; endGroup; nowordwrap; ] No Input Form was saved for this expression. ;[o] -Graphics- :[font = input; startGroup; nowordwrap; ] PlotRiemann[e,{x,1,5},{AspectRatio -> Automatic}, {Partition -> Uniform,Height -> Midpoint,Subdivisions -> 25}] :[font = print; inactive; formatted; output; nowordwrap; ] No Input Form Generated ;[o] Uniform partition into 12 subdivisions :[font = print; inactive; formatted; output; nowordwrap; ] No Input Form Generated ;[o] Height at midpoint of subdivision :[font = postscript; inactive; output; BITMAP; PostScript; pictureLeft = 100; pictureTop = 0; pictureWidth = 296; pictureHeight = 300; nowordwrap; ] %! %%Creator: Mathematica %%AspectRatio: 1.01422 MathPictureStart %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations -0.214286 0.238095 0.0241481 0.238095 [ [(2)] .2619 .02415 0 2 Msboxa [(3)] .5 .02415 0 2 Msboxa [(4)] .7381 .02415 0 2 Msboxa [(5)] .97619 .02415 0 2 Msboxa [(Mesh = 0.333333)(Riemann Sum = 9.68537)(Definite Integral = 9.70101)] .5 1.01422 0 -2 Msboxa [(1)] .01131 .26224 1 0 Msboxa [(2)] .01131 .50034 1 0 Msboxa [(3)] .01131 .73843 1 0 Msboxa [(4)] .01131 .97653 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 1.01522 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .2619 .02415 m .2619 .0304 L s P [(2)] .2619 .02415 0 2 Mshowa p .002 w .5 .02415 m .5 .0304 L s P [(3)] .5 .02415 0 2 Mshowa p .002 w .7381 .02415 m .7381 .0304 L s P [(4)] .7381 .02415 0 2 Mshowa p .002 w .97619 .02415 m .97619 .0304 L s P [(5)] .97619 .02415 0 2 Mshowa p .001 w .07143 .02415 m .07143 .0279 L s P p .001 w .11905 .02415 m .11905 .0279 L s P p .001 w .16667 .02415 m .16667 .0279 L s P p .001 w .21429 .02415 m .21429 .0279 L s P p .001 w .30952 .02415 m .30952 .0279 L s P p .001 w .35714 .02415 m .35714 .0279 L s P p .001 w .40476 .02415 m .40476 .0279 L s P p .001 w .45238 .02415 m .45238 .0279 L s P p .001 w .54762 .02415 m .54762 .0279 L s P p .001 w .59524 .02415 m .59524 .0279 L s P p .001 w .64286 .02415 m .64286 .0279 L s P p .001 w .69048 .02415 m .69048 .0279 L s P p .001 w .78571 .02415 m .78571 .0279 L s P p .001 w .83333 .02415 m .83333 .0279 L s P p .001 w .88095 .02415 m .88095 .0279 L s P p .001 w .92857 .02415 m .92857 .0279 L s P p .002 w 0 .02415 m 1 .02415 L s P [(Mesh = 0.333333)(Riemann Sum = 9.68537)(Definite Integral = 9.70101)] .5 1.01422 0 -2 Mshowa p .002 w .02381 .26224 m .03006 .26224 L s P [(1)] .01131 .26224 1 0 Mshowa p .002 w .02381 .50034 m .03006 .50034 L s P [(2)] .01131 .50034 1 0 Mshowa p .002 w .02381 .73843 m .03006 .73843 L s P [(3)] .01131 .73843 1 0 Mshowa p .002 w .02381 .97653 m .03006 .97653 L s P [(4)] .01131 .97653 1 0 Mshowa p .001 w .02381 .07177 m .02756 .07177 L s P p .001 w .02381 .11939 m .02756 .11939 L s P p .001 w .02381 .16701 m .02756 .16701 L s P p .001 w .02381 .21462 m .02756 .21462 L s P p .001 w .02381 .30986 m .02756 .30986 L s P p .001 w .02381 .35748 m .02756 .35748 L s P p .001 w .02381 .4051 m .02756 .4051 L s P p .001 w .02381 .45272 m .02756 .45272 L s P p .001 w .02381 .54796 m .02756 .54796 L s P p .001 w .02381 .59558 m .02756 .59558 L s P p .001 w .02381 .6432 m .02756 .6432 L s P p .001 w .02381 .69081 m .02756 .69081 L s P p .001 w .02381 .78605 m .02756 .78605 L s P p .001 w .02381 .83367 m .02756 .83367 L s P p .001 w .02381 .88129 m .02756 .88129 L s P p .001 w .02381 .92891 m .02756 .92891 L s P p .002 w .02381 0 m .02381 1.01422 L s P P 0 0 m 1 0 L 1 1.01422 L 0 1.01422 L closepath clip newpath p p 0 0 1 r p .004 w .02381 .8514 m .06349 .68357 L .08333 .60731 L .10317 .54061 L .12302 .48621 L .13294 .4643 L .14286 .44616 L .15278 .43194 L .1627 .42169 L .16766 .41807 L .17014 .41663 L .17262 .41543 L .1751 .41449 L .17758 .41379 L .17882 .41353 L .18006 .41333 L .1813 .41319 L .18254 .41312 L .18378 .4131 L .18502 .41314 L .18626 .41324 L .1875 .41341 L .18998 .41391 L .19122 .41424 L .19246 .41464 L .19742 .41679 L .20238 .41984 L .20734 .42375 L .2123 .42851 L .22222 .44038 L .24206 .47246 L .2619 .51318 L .30159 .60667 L .32143 .65213 L .34127 .69204 L .35119 .70892 L .36111 .72332 L .37103 .73493 L .37599 .73961 L .38095 .74351 L .38591 .74661 L .38839 .74786 L .39087 .74889 L .39335 .74972 L .39459 .75005 L .39583 .75033 L .39707 .75056 L .39831 .75074 L .39955 .75086 L .40079 .75093 L Mistroke .40203 .75094 L .40327 .7509 L .40451 .75081 L .40575 .75066 L .40823 .75021 L .40947 .7499 L .41071 .74954 L .41567 .74756 L .41815 .74625 L .42063 .74472 L .43056 .73649 L .44048 .72497 L .46032 .69266 L .48016 .64963 L .5 .59846 L .53968 .48465 L .55952 .42922 L .57937 .37963 L .58929 .35807 L .59921 .33919 L .60913 .32331 L .61905 .31073 L .62401 .30575 L .62897 .30169 L .63145 .30001 L .63393 .29856 L .63641 .29736 L .63889 .29639 L .64013 .296 L .64137 .29567 L .64261 .2954 L .64385 .29519 L .64509 .29504 L .64633 .29496 L .64757 .29494 L .64881 .29497 L .65005 .29507 L .65129 .29524 L .65377 .29575 L .65501 .2961 L .65625 .29651 L .65873 .29752 L .66369 .30029 L .66865 .30406 L .67857 .31455 L .68849 .32892 L .69841 .34701 L .71825 .39354 L .7381 .45195 L .77778 .59257 L Mistroke .81746 .74147 L .8373 .81 L .85714 .87029 L .87698 .91977 L .8869 .93987 L .89683 .95666 L .90675 .97004 L .91171 .97544 L .91667 .97998 L .92163 .98366 L .92659 .9865 L .92907 .9876 L .93155 .9885 L .93403 .9892 L .93527 .98947 L .93651 .98969 L .93775 .98986 L .93899 .98998 L .94023 .99005 L .94147 .99007 L .94271 .99005 L .94395 .98997 L .94519 .98985 L .94643 .98968 L .94891 .9892 L .95139 .98853 L .95635 .98666 L .96131 .9841 L .96627 .98088 L .97619 .97263 L Mfstroke P P p .8 .3 0 r p .004 w .02381 .02415 m .10317 .02415 L .10317 .68357 L .02381 .68357 L .02381 .02415 L s .10317 .02415 m .18254 .02415 L .18254 .44616 L .10317 .44616 L .10317 .02415 L s .18254 .02415 m .2619 .02415 L .2619 .44038 L .18254 .44038 L .18254 .02415 L s .2619 .02415 m .34127 .02415 L .34127 .60667 L .2619 .60667 L .2619 .02415 L s .34127 .02415 m .42063 .02415 L .42063 .74351 L .34127 .74351 L .34127 .02415 L s .42063 .02415 m .5 .02415 L .5 .69266 L .42063 .69266 L .42063 .02415 L s .5 .02415 m .57937 .02415 L .57937 .48465 L .5 .48465 L .5 .02415 L s .57937 .02415 m .65873 .02415 L .65873 .31073 L .57937 .31073 L .57937 .02415 L s .65873 .02415 m .7381 .02415 L .7381 .34701 L .65873 .34701 L .65873 .02415 L s .7381 .02415 m .81746 .02415 L .81746 .59257 L .7381 .59257 L .7381 .02415 L s .81746 .02415 m .89683 .02415 L .89683 .87029 L .81746 .87029 L .81746 .02415 L s .89683 .02415 m .97619 .02415 L .97619 .98969 L .89683 .98969 L .89683 .02415 L s P P P % End of Graphics MathPictureEnd :[font = output; inactive; formatted; output; endGroup; nowordwrap; ] No Input Form was saved for this expression. ;[o] -Graphics- ^*)