English: Sin(x) and its Taylor approximations, polynomials of degree 1, 3, 5, 7, 9, 11 and 13. Even degrees add no fidelity because Sin(a) = 0, since a = 0.
العربية: دالة الجيب وتقريبات تايلور الخاصة بها، كثيرات الحدود من الدرجات 1، و3، و5، و7، و9، و11 و13. الحدود الزوجية معدومة لأن Sin(a) = 0، بما أن a = 0.
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소스 코드
InfoField
Gnuplot code
#!/usr/bin/gnuplot# Author: Qualc1, 4 Aug 2006# Enhanced: Ika, 24 Aug 2013# last changes:# 2018-01-28: (JoKalliauer) added shebang# 2018-01-28: (JoKalliauer) one plot instead of multiple over each other# 2018-01-28: (JoKalliauer) changed Times to 'Liberation Serif'setterminalsvgsize10001000fixedenhancedfname'Liberation Serif'font'Liberation Serif, 36'setoutput"Sintay.svg"setsamples2000setautoscalefixsetxrange[-10:10]setyrange[-10:10]setgridsetxtics-10,2,10setytics-10,2,10setxzeroaxislinewidth2.5setyzeroaxislinewidth2.5setnokeyunsetbordersetmultiplotplotxlw4lcrgb"red",\
x-x**3/3!lw4lcrgb"orange",\
x-x**3/3!+x**5/5!lw4lcrgb"yellow",\
x-x**3/3!+x**5/5!-x**7/7!lw4lcrgb"green",\
x-x**3/3!+x**5/5!-x**7/7!+x**9/9!lw4lcrgb"blue",\
x-x**3/3!+x**5/5!-x**7/7!+x**9/9!-x**11/11!lw4lcrgb"#4B0082",\
x-x**3/3!+x**5/5!-x**7/7!+x**9/9!-x**11/11!+x**13/13!lw4lcrgb"violet",\
sin(x)lw4lcrgb"black"unsetmultiplot
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