File:Sawtooth pi.svg

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Summary

DescriptionSawtooth pi.svg	English: A sawtooth wave with period $2\pi$ described by the equation $x(t)=2\left({\frac {t}{a}}-\left\lfloor {\frac {t}{a}}+{\frac {1}{2}}\right\rfloor \right)$ and plotted using maxima using the script: load(draw); draw2d( terminal=svg,dimensions=[491,126], grid=true,user_preamble="set zeroaxis; set mxtics; set mytics", xtics_axis=true,ytics_axis=true,ip_grid=[20,20], color=blue,label(["x",3%pi,.1]),label(["y",.25,1.1]),yrange=[-1.1,1.1], xaxis_type=solid,yaxis_type=solid,line_width=1.5, xtics={["-3{/Symbol p}",-3%pi],["-2{/Symbol p}",-2%pi],["-{/Symbol p}",-%pi], ["{/Symbol p}",%pi],["2{/Symbol p}",2%pi],["3{/Symbol p}",3%pi]}, axis_bottom=false,axis_top=false,axis_right=false,axis_left=false, color=red,explicit(2( (x0.5/%pi)-floor((x0.5/%pi)+0.5)),x,-3.5%pi,3.5%pi) ); The axis titles were later manually changed to f(x) and x
Date	23 May 2011
Source	Own work
Author	Krishnavedala

iThe source code of this SVG is valid.

This diagram was created with a text editor by ElectroKid (☮ • ✍).

Previous version had been created with Gnuplot (42018 bytes) ^d now 3.54% of previous size

Please do not replace the simplified code of this file with a version created with Inkscape or any other vector graphics editor

Licensing

I, the copyright holder of this work, hereby publish it under the following license:

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File history

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	Date/Time	Dimensions	User	Comment
current	00:21, 12 January 2015	560 × 240 (1 KB)	Krishnavedala	simplified SVG
	06:06, 17 September 2013	369 × 120 (41 KB)	Bob K	pi chars rendered as just "p"
	05:58, 17 September 2013	982 × 252 (12 KB)	Bob K	Double the size, and update f(x) → s(x) to match article.
	06:36, 10 February 2013	369 × 120 (41 KB)	Olli Niemitalo	Changed axis titles to f(x) and x
	10:35, 8 June 2011	369 × 120 (35 KB)	Krishnavedala	better version
	23:31, 23 May 2011	491 × 126 (13 KB)	Krishnavedala	the x-axis labels are now displayed correctly
	23:28, 23 May 2011	491 × 126 (13 KB)	Krishnavedala	changed the image dimensions
	23:25, 23 May 2011	600 × 500 (14 KB)	Krishnavedala	changed the period from <math>\pi</math to <math>2\pi</math> to match the original png file.
	23:18, 23 May 2011	600 × 500 (15 KB)	Krishnavedala