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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 development
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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 license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
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 license, 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 license as the original.

Captions

Taylor Series of sin(x)

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depicts

24 August 2013

File history

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Date/TimeThumbnailDimensionsUserComment
current11:46, 28 January 2018Thumbnail for version as of 11:46, 28 January 20181,000 × 1,000 (34 KB)JoKalliauerCommons:Graphics_village_pump#File:Envelope_cast.svg
09:46, 28 January 2018Thumbnail for version as of 09:46, 28 January 20181,000 × 1,000 (170 KB)JoKalliauerupdated source code, added DTD
01:27, 25 August 2013Thumbnail for version as of 01:27, 25 August 20131,000 × 1,000 (247 KB)IkamusumeFanUser created page with UploadWizard

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