File:Drini nonuniformconvergence SVG.svg

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Original file(SVG file, nominally 656 × 241 pixels, file size: 47 KB)

Summary

Description
English: Regenerated SVG version of the file Drini-nonuniformconvergence.png. The continuous sine functions sinn (green and blue) converge to the discontinuous function (red), as an instance of pointwise, but not uniform, convergence.
Date
Source Own work
Author IkamusumeFan
SVG development
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Source code
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Gnuplot code

#!/usr/bin/gnuplot
# Author: Ika, 2013-11-27

# last changes:
# 2018-01-28: (JoKalliauer) one plot instead of multiple over each other
# 2018-01-28: (JoKalliauer) changed font 'Times' to 'Liberation Serif,Times'
# 2018-12-11: (JoKalliauer) 'set x-range to [0:pi]'
# 2018-12-11: (JoKalliauer) set euqal size-ratio between x- and y-axis 'set size ratio -1'

set term svg size 656,241 font 'Liberation Serif,Times, 12'
set output 'Drini_nonuniformconvergence_SVG.svg'

set multiplot

set xrange [0:pi]
set yrange [0:1.0]
set xtics 0.2
set ytics 0.2
set xzeroaxis lt -1 lc rgb "black" lw 1
set yzeroaxis lt -1 lc rgb "black" lw 1
set size ratio -1

unset label

# Draw the function sin(x)
set key off

plot sin(x)     lc rgb "blue"  lw 3, \
     sin(x)**2  lc rgb "green" lw 2, \
     sin(x)**3  lc rgb "green" lw 2, \
     sin(x)**4  lc rgb "green" lw 2, \
     sin(x)**5  lc rgb "green" lw 2, \
     sin(x)**6  lc rgb "green" lw 2, \
     sin(x)**7  lc rgb "green" lw 2, \
     sin(x)**8  lc rgb "green" lw 2, \
     sin(x)**9  lc rgb "green" lw 2, \
     sin(x)**10 lc rgb "green" lw 2, \
     sin(x)**11 lc rgb "green" lw 2, \
     sin(x)**12 lc rgb "green" lw 2, \
     sin(x)**13 lc rgb "green" lw 2, \
     sin(x)**14 lc rgb "green" lw 2, \
     sin(x)**15 lc rgb "green" lw 2, \
     sin(x)**16 lc rgb "green" lw 2, \
     sin(x)**17 lc rgb "green" lw 2, \
     sin(x)**18 lc rgb "green" lw 2, \
     sin(x)**19 lc rgb "green" lw 2, \
     sin(x)**20 lc rgb "green" lw 2, \
     sin(x)**100 lc rgb "blue" lw 3,\
     '-' w p lc rgb "red" pt 7 ps 1
1.57 1 
e

unset multiplot

set term x11
set output

}}

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27 November 2013

File history

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Date/TimeThumbnailDimensionsUserComment
current17:47, 11 December 2018Thumbnail for version as of 17:47, 11 December 2018656 × 241 (47 KB)JoKalliauerupdated source code
17:23, 11 December 2018Thumbnail for version as of 17:23, 11 December 2018656 × 241 (47 KB)JoKalliauer<g transform="scale(1.015 1)"> instead of <svg transform="scale(1.015 1)">
17:15, 11 December 2018Thumbnail for version as of 17:15, 11 December 2018656 × 241 (47 KB)JoKalliaueradded elements from https://upload.wikimedia.org/wikipedia/commons/archive/c/cf/20180128093407%21Drini_nonuniformconvergence_SVG.svg, but they are distorted
15:55, 11 December 2018Thumbnail for version as of 15:55, 11 December 2018656 × 241 (214 KB)Incnis MrsiReverted to version as of 09:09, 27 November 2013 (UTC) failed to show the limit function properly; see alo user_talk:JoKalliauer #Problem mit File:Drini nonuniformconvergence SVG.svg
09:34, 28 January 2018Thumbnail for version as of 09:34, 28 January 2018656 × 241 (45 KB)JoKalliauerupdated source code, added DTD
09:09, 27 November 2013Thumbnail for version as of 09:09, 27 November 2013656 × 241 (214 KB)IkamusumeFanFixed the render problem. Add more immediate function curves.
08:49, 27 November 2013Thumbnail for version as of 08:49, 27 November 2013656 × 241 (118 KB)IkamusumeFanUser created page with UploadWizard
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