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File:Taylorsine.svg

From Wikipedia, the free encyclopedia

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

Summary

Description
The sine function and its 7th-degree Taylor polynomial, . Made by english wikipedia user Ktims. Copied here from english wikipedia (Link)
Date 31 May 2006 (original upload date)
Source No machine-readable source provided. Own work assumed (based on copyright claims).
Author No machine-readable author provided. Riojajar~commonswiki assumed (based on copyright claims).

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

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.

Captions

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inception

31 May 2006

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~commonswiki== 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
The following pages on the English Wikipedia use this file (pages on other projects are not listed):

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Metadata

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Retrieved from "https://en.wikipedia.org/wiki/File:Taylorsine.svg"
Basis of this page is in Wikipedia. Text is available under the CC BY-SA 3.0 Unported License. Non-text media are available under their specified licenses. Wikipedia® is a registered trademark of the Wikimedia Foundation, Inc. WIKI 2 is an independent company and has no affiliation with Wikimedia Foundation.
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