Image:Taylorsine.svg
From Wikipedia, the free encyclopedia
Taylorsine.svg (SVG file, nominally 1,600 × 1,200 pixels, file size: 9 KB)
 |
This is a file from the Wikimedia Commons. The description on its description page there is shown below. |
Summary
The sine function and its 7th-degree Taylor polynomial, 
. Made by english wikipedia user Ktims. Copied here from english wikipedia (Link)
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
Licensing
 |
I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide. In case this is not legally possible: Afrikaans | Alemannisch | Aragonés | العربية | Asturianu | Български | Català | Cebuano | Česky | Cymraeg | Dansk | Deutsch | Eʋegbe | Ελληνικά | English | Español | Esperanto | Euskara | Estremeñu | فارسی | Français | Galego | 한국어 | हिन्दी | Hrvatski | Ido | Bahasa Indonesia | Íslenska | Italiano | עברית | Kurdî / كوردی | Latina | Lietuvių | Latviešu | Magyar | Македонски | Bahasa Melayu | Nederlands | Norsk (bokmål) | Norsk (nynorsk) | 日本語 | Polski | Português | Ripoarisch | Română | Русский | Shqip | Slovenčina | Slovenščina | Српски / Srpski | Suomi | Svenska | ไทย | Tagalog | Türkçe | Українська | Tiếng Việt | Walon | 中文(简体) | 中文(繁體) | zh-yue-hant | +/- |
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Dimensions | User | Comment | |
|---|---|---|---|---|
| current | 11:24, 31 May 2006 | 1,600×1,200 (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) |