الرئيسيةبحث

صورة:Taylorsine.svg

Taylorsine.svg (ملف إس في جي، أبعاده 1600 × 1200 بكسل، حجم الملف: 9 كيلوبايت)


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)

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

Public domain I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide.

In case this is not legally possible:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.


 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | +/-

الصفحات التالية تحتوي على وصلة لهذه الصورة: