File:Second Order Taylor.svg

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Original file(SVG file, nominally 691 × 374 pixels, file size: 1.24 MB)

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Summary

Description
English: Second order Taylor expansion: f(x,y) = e^x log(1+y) and f(x,y) = y+xy-y^2/2 around the origin point. Plotted by Gnuplot.
العربية: رسوم بيانية لمفكوكي تايلور لدالتي f(x,y) = e^x log(1+y) و f(x,y) = y+xy-y^2/2 ذات متغيرين حول نقطة الأصل. رسمه Gnuplot.
Date
Source Own work
Author IkamusumeFan

Gnuplot

# Author: Ika, 2013-07-24
set term svg size 800,600 enhanced font 'Times,12'
set output 'Second_Order_Taylor.svg'

set multiplot

set xlabel "x"
set ylabel "y"
set zlabel "z"
set xrange [-1.0:2.0]
set yrange [-0.5:2.0]
set zrange [-6.0:10.0]
set box
unset colorbox
#set view 65,45
set style fill solid 0.30 border

set cntrparam levels auto 20
set contour base
set isosamples 60,60
set samples 60,60
set pm3d
set hidd
unset key
set ticslevel 0
i = {0.0,1.0}

# Draw the surface of f(x,y) = e^x log(1+y)
set palette defined (-1 "blue", 1 "pink")
splot exp(x)*log(1+y)

# Draw the surface of f(x,y) = y+xy-y^2/2
set palette defined (-1 "red", 1 "orange")
splot y+x*y-y*y/2

# Draw the lines
unset cntrparam
unset contour
set isosamples 20,20
set samples 20,20
unset pm3d
unset hidd

# Draw the lines of f(x,y) = e^x log(1+y)
splot exp(x)*log(1+y) lt 2 lc rgb "black" lw 0.1

# Draw the lines of f(x,y) = y+xy-y^2/2
splot y+x*y-y*y/2 lt 2 lc rgb "black" lw 0.1

unset multiplot
set term x11
set output

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
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Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

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depicts

24 July 2013

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Date/TimeThumbnailDimensionsUserComment
current13:29, 16 September 2023Thumbnail for version as of 13:29, 16 September 2023691 × 374 (1.24 MB)wikimediacommons>Michel BakniRemove margens

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