File:Sintay SVG.svg

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Summary

Description
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.
Date
Source Own work
Author IkamusumeFan
SVG genesis
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Source code
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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'
set terminal svg size 1000 1000 fixed enhanced fname 'Liberation Serif' font 'Liberation Serif, 36'
set output "Sintay.svg"

set samples 2000

set autoscale fix
set xrange [-10:10]
set yrange [-10:10]

set grid
set xtics -10,2,10
set ytics -10,2,10
set xzeroaxis linewidth 2.5
set yzeroaxis linewidth 2.5

set nokey

unset border
set multiplot
plot x lw 4 lc rgb "red", \
     x-x**3/3! lw 4 lc rgb "orange", \
     x-x**3/3!+x**5/5! lw 4 lc rgb "yellow", \
     x-x**3/3!+x**5/5!-x**7/7! lw 4 lc rgb "green", \
     x-x**3/3!+x**5/5!-x**7/7!+x**9/9! lw 4 lc rgb "blue", \
     x-x**3/3!+x**5/5!-x**7/7!+x**9/9!-x**11/11! lw 4 lc rgb "#4B0082", \
     x-x**3/3!+x**5/5!-x**7/7!+x**9/9!-x**11/11!+x**13/13! lw 4 lc rgb "violet", \
     sin(x) lw 4 lc rgb "black"
unset multiplot

Licensing

I, the copyright holder of this work, hereby publish it under the following licence:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported licence.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the licence, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible licence as the original.

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Taylor Series of sin(x)

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24 August 2013

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d4b565c76a0cfe987376df18eff5fd0830050e9b

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Date/TimeThumbnailDimensionsUserComment
current17:16, 28 January 2018Thumbnail for version as of 17:16, 28 January 20181,000 × 1,000 (34 KB)wikimediacommons>JoKalliauerCommons:Graphics_village_pump#File:Envelope_cast.svg

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