File:Non-strict minimum.svg

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Original file (SVG file, nominally 800 × 500 pixels, file size: 73 KB)

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Summary

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Description Function , an example of non-strict local minimum (for ), while there is no constant part.
Date
Source Own work
Author pl:Olaf

Script

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Created with Gnuplot script:

set terminal svg size 800 500 fixed enhanced  fname 'Times'  fsize 16

set output "Not_strict_minimum.svg"
set autoscale fix
set samples 5000

set xrange [-0.1:0.1]
set yrange [0:0.02]

set grid
set xzeroaxis linetype -1 linewidth 2
set yzeroaxis linetype -1 linewidth 2

plot x**2*(1+sin(1/x)) title '' lw 2

Licensing

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Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

File history

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Date/TimeThumbnailDimensionsUserComment
current17:12, 27 September 2007Thumbnail for version as of 17:12, 27 September 2007800 × 500 (73 KB)Olaf (talk | contribs){{Information |Description=Function <math>f(x)=\left\{\begin{array}{l}x^2(1+\sin\frac{1}{x}),\; x\neq 0\\0,\; x=0\end{array}\right.</math>, an example of non-strict local minimum (for <math>x=0</math>), while there is no constant part. Created with Gnupl
17:01, 27 September 2007Thumbnail for version as of 17:01, 27 September 2007800 × 500 (73 KB)Olaf (talk | contribs){{Information |Description=Function <math>f(x)=\left\{\begin{array}{l}x^2(1+\sin\frac{1}{x}),\; x\neq 0\\0,\; x=0\end{array}\right.</math>, an example of non-strict local minimum (for <math>x=0</math>), while there is no constant part. Created with Gnupl
16:58, 27 September 2007Thumbnail for version as of 16:58, 27 September 2007800 × 500 (73 KB)Olaf (talk | contribs){{Information |Description=Function <math>f(x)=\left\{\begin{array}{l}x^2(1+\sin\frac{1}{x}),\; x\neq 0\\0,\; x=0\end{array}\right.</math>, an example of non-strict local minimum (for <math>x=0</math>), while there is no constant part. Created with Gnupl
16:55, 27 September 2007Thumbnail for version as of 16:55, 27 September 20071,000 × 1,000 (73 KB)Olaf (talk | contribs){{Information |Description=Function <math>f(x)=\left\{\begin{array}{l}x^2(1+\sin\frac{1}{x}),\; x\neq 0\\0,\; x=0\end{array}\right.</math>, an example of non-strict local minimum (for <math>x=0</math>), while there is no constant part. Created with Gnupl

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