File:Sinc function (normalized).svg

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Summary

<a href="https://en.wikipedia.org/wiki/Graph_of_a_function" class="extiw" title="en:Graph of a function">Graph</a> of the normalized <a href="https://en.wikipedia.org/wiki/sinc_function" class="extiw" title="en:sinc function">sinc function</a> sin(πx)/(πx).

<a rel="nofollow" class="external text" href="http://mathworld.wolfram.com/SincFunction.html">Mathworld's version</a>.

The original was generated by gnuplot, while the more recent one was generated with matplotlib.

File size was reduced by efficient coding of the axis drawing and labeling and by a reworking of the graph's path. The resulting path is smoother even though fewer points are used in its determination.

The source code of this <a href="//commons.wikimedia.org/wiki/Help:SVG" title="Help:SVG">SVG</a> is <a rel="nofollow" class="external text" href="//validator.w3.org/check?uri=https%3A%2F%2Fcommons.wikimedia.org%2Fwiki%2FSpecial%3AFilepath%2FSinc_function_%28normalized%29.svg&ss=1#source">valid</a>.

This <a href="https://en.wikipedia.org/wiki/Vector_graphics" class="extiw" title="w:Vector graphics">vector image</a> was created with a <a href="https://en.wikipedia.org/wiki/Text_editor" class="extiw" title="w:Text editor">text editor</a>.

Omegatron's instructions:
See <a href="https://en.wikipedia.org/wiki/Wikipedia:How_to_create_graphs_for_Wikipedia_articles" class="extiw" title="en:Wikipedia:How to create graphs for Wikipedia articles">Wikipedia graph-making tips</a>.

The source code of this <a href="//commons.wikimedia.org/wiki/Help:SVG" title="Help:SVG">SVG</a> is <a rel="nofollow" class="external text" href="//validator.w3.org/check?uri=https%3A%2F%2Fcommons.wikimedia.org%2Fwiki%2FSpecial%3AFilepath%2FSinc_function_%28normalized%29.svg&ss=1#source">valid</a>.

This <a href="https://en.wikipedia.org/wiki/Vector_images" class="extiw" title="w:Vector images">vector image</a> was created with <a href="https://en.wikipedia.org/wiki/gnuplot" class="extiw" title="w:gnuplot">gnuplot</a>.

Then I opened the resulting SVG file in <a href="https://en.wikipedia.org/wiki/Inkscape" class="extiw" title="en:Inkscape">Inkscape</a>, changed the line colors, brought the plot lines to the top, made all the lines 3 px wide, made the grid lines 2px wide and 50% transparency.

Licensing

Lua error in package.lua at line 80: module 'strict' not found.

File history

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	Date/Time	Thumbnail	Dimensions	User	Comment
current	18:37, 4 January 2017		908 × 623 (4 KB)	127.0.0.1 (talk)	<a href="https://en.wikipedia.org/wiki/Graph_of_a_function" class="extiw" title="en:Graph of a function">Graph</a> of the normalized <a href="https://en.wikipedia.org/wiki/sinc_function" class="extiw" title="en:sinc function">sinc function</a> sin(πx)/(πx). <p><a rel="nofollow" class="external text" href="http://mathworld.wolfram.com/SincFunction.html">Mathworld's version</a>.<br><br></p> <p>The original was generated by gnuplot, while the more recent one was generated with matplotlib. </p> File size was reduced by efficient coding of the axis drawing and labeling and by a reworking of the graph's path. The resulting path is smoother even though fewer points are used in its determination.<div class="mw-content-ltr plainlinks"><div class="mw-content-ltr"> <table cellspacing="0" style="color:#000;background:#DDD;border:1px solid #BBB;margin:.1em;width:;background:#EEE;float:left" class="createdwithtemplate layouttemplate"><tr> <td style="width:1.2em;height:1.2em;padding:.2em;background:#CE8"> <div class="center"><div class="floatnone"><a href="//validator.w3.org/" rel="nofollow"><img alt="W3C icon.svg" src="https://upload.wikimedia.org/wikipedia/commons/thumb/5/5e/W3C_icon.svg/24px-W3C_icon.svg.png" width="24" height="13" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/5/5e/W3C_icon.svg/36px-W3C_icon.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/5/5e/W3C_icon.svg/48px-W3C_icon.svg.png 2x" data-file-width="212" data-file-height="114"></a></div></div> </td> <td style="font-size:.85em;padding:.2em;vertical-align:middle;">The source code of this <a href="//commons.wikimedia.org/wiki/Help:SVG" title="Help:SVG">SVG</a> is <a rel="nofollow" class="external text" href="//validator.w3.org/check?uri=https%3A%2F%2Fcommons.wikimedia.org%2Fwiki%2FSpecial%3AFilepath%2FSinc_function_%28normalized%29.svg&ss=1#source"><span style="background:#CE8">valid</span></a>. </td> </tr></table> </div></div> <div class="mw-content-ltr"> <table cellspacing="0" style="color:#000;background:#DDD;border:1px solid #BBB;margin:.1em;width:;" class="createdwithtemplate layouttemplate"><tr> <td style="width:1.2em;height:1.2em;padding:.2em;"> <div class="center"><div class="floatnone"><a href="//commons.wikimedia.org/wiki/File:Notepad_icon_wide.svg" title="File:Notepad icon wide.svg"><img alt="Notepad icon wide.svg" src="https://upload.wikimedia.org/wikipedia/commons/thumb/c/c1/Notepad_icon_wide.svg/20px-Notepad_icon_wide.svg.png" width="20" height="20" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/c/c1/Notepad_icon_wide.svg/30px-Notepad_icon_wide.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/c/c1/Notepad_icon_wide.svg/40px-Notepad_icon_wide.svg.png 2x" data-file-width="41" data-file-height="41"></a></div></div> </td> <td style="font-size:.85em;padding:.2em;vertical-align:middle;">This <a href="https://en.wikipedia.org/wiki/Vector_graphics" class="extiw" title="w:Vector graphics">vector image</a> was created with a <a href="https://en.wikipedia.org/wiki/Text_editor" class="extiw" title="w:Text editor">text editor</a>. </td> </tr></table> </div> <br clear="left"><p><b>Omegatron's instructions:</b><br><i>See <a href="https://en.wikipedia.org/wiki/Wikipedia:How_to_create_graphs_for_Wikipedia_articles" class="extiw" title="en:Wikipedia:How to create graphs for Wikipedia articles">Wikipedia graph-making tips</a>.</i> </p> <div class="mw-content-ltr plainlinks"><div class="mw-content-ltr"> <table cellspacing="0" style="color:#000;background:#DDD;border:1px solid #BBB;margin:.1em;width:;background:#EEE;float:left" class="createdwithtemplate layouttemplate"><tr> <td style="width:1.2em;height:1.2em;padding:.2em;background:#CE8"> <div class="center"><div class="floatnone"><a href="//validator.w3.org/" rel="nofollow"><img alt="W3C icon.svg" src="https://upload.wikimedia.org/wikipedia/commons/thumb/5/5e/W3C_icon.svg/24px-W3C_icon.svg.png" width="24" height="13" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/5/5e/W3C_icon.svg/36px-W3C_icon.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/5/5e/W3C_icon.svg/48px-W3C_icon.svg.png 2x" data-file-width="212" data-file-height="114"></a></div></div> </td> <td style="font-size:.85em;padding:.2em;vertical-align:middle;">The source code of this <a href="//commons.wikimedia.org/wiki/Help:SVG" title="Help:SVG">SVG</a> is <a rel="nofollow" class="external text" href="//validator.w3.org/check?uri=https%3A%2F%2Fcommons.wikimedia.org%2Fwiki%2FSpecial%3AFilepath%2FSinc_function_%28normalized%29.svg&ss=1#source"><span style="background:#CE8">valid</span></a>. </td> </tr></table> </div></div> <div class="mw-content-ltr"> <table cellspacing="0" style="color:#000;background:#DDD;border:1px solid #BBB;margin:.1em;width:;" class="createdwithtemplate layouttemplate"><tr> <td style="width:1.2em;height:1.2em;padding:.2em;"> <div class="center"><div class="floatnone"><a href="//commons.wikimedia.org/wiki/File:Lissajous_small.svg" title="File:Lissajous small.svg"><img alt="Lissajous small.svg" src="https://upload.wikimedia.org/wikipedia/commons/thumb/d/d5/Lissajous_small.svg/20px-Lissajous_small.svg.png" width="20" height="21" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/d/d5/Lissajous_small.svg/30px-Lissajous_small.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/d/d5/Lissajous_small.svg/40px-Lissajous_small.svg.png 2x" data-file-width="70" data-file-height="72"></a></div></div> </td> <td style="font-size:.85em;padding:.2em;vertical-align:middle;">This <a href="https://en.wikipedia.org/wiki/Vector_images" class="extiw" title="w:Vector images">vector image</a> was created with <a href="https://en.wikipedia.org/wiki/gnuplot" class="extiw" title="w:gnuplot">gnuplot</a>. </td> </tr></table> </div> Then I opened the resulting SVG file in <a href="https://en.wikipedia.org/wiki/Inkscape" class="extiw" title="en:Inkscape">Inkscape</a>, changed the line colors, brought the plot lines to the top, made all the lines 3 px wide, made the grid lines 2px wide and 50% transparency.

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File:Sinc function (normalized).svg

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