File:Taylorsine.svg

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Full resolution‎ (SVG file, nominally 1,600 × 1,200 pixels, file size: 9 KB)

[edit] Summary

The sine function and its 7th-degree Taylor polynomial, f(x) = x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^7}{7!}. Made by english wikipedia user Ktims. Copied here from english wikipedia (Link)

[edit] Instructions

Generated with the following gnuplot script, manually colour-matched with the previous chart here for consistency.

set terminal svg size 1600 1200 fname "Times New Roman" fsize 48
set output "taylorsine.svg"
set xzeroaxis lt 0 lw 4
set yzeroaxis lt 0 lw 4
unset border
set key box
set samples 200

set bmargin 0
set lmargin 0
set rmargin 0
set tmargin 0

set xtics axis ("-2π" -2*pi, "-π" -pi, "π" pi, "2π" 2*pi)
set mxtics 2

set ytics axis ("" -5, "" -4, "" -3, "" -2, "" -1, "" 1, "" 2, "" 3, "" 4, "" 5)
set mytics 20

set xrange [-3*pi:3*pi]
set yrange [-5:5]

f(x) = x - (x**3/3!) + (x**5/5!) - (x**7/7!)

plot sin(x) lt 10 lw 4, f(x) lt 12 lw 4

[edit] Licensing

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
current11:24, 31 May 2006Thumbnail for version as of 11:24, 31 May 20061,600 × 1,200 (9 KB)Riojajar (== Summary == The sine function and its 7th-degree Taylor polynomial, <math>f(x) = x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^7}{7!}</math> Made by english wikipedia user Ktims == Instructions == Generated with the followin)
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Metadata

This file contains additional information, probably added from the digital camera or scanner used to create or digitize it. If the file has been modified from its original state, some details may not fully reflect the modified file.
Width 1600
Height 1200
Image title Produced by GNUPLOT 4.0 patchlevel 0
Retrieved from "http://en.wikipedia.org/wiki/File:Taylorsine.svg"
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