File:LogTay.svg
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DescriptionLogTay.svg |
English: The log(x+1) and Taylor approximations of degree 4, 7, 11, 16. Note that, for x > 1, the successive approximations grow worse. العربية: الدالة log(x+1) وتقريبات تايلور من الدرجة 4، 7، 11، 16. التقريبات تكون سيئة من أجل x > 1. |
Date | |
Source | Own work |
Author | Niles |
Permission (Reusing this file) |
Public domain |
Instructions edit
Created with gnuplot using the following code
set terminal svg \ size 1000 1000 \ fixed enhanced \ fname 'Times New Roman' \ fsize 32 set output "LogTay.svg" set samples 2000 set autoscale fix set xrange [-1.5:1.5] set yrange [-4:2] set grid set xtics .5 set ytics .5 set xzeroaxis linewidth 2.5 set yzeroaxis linewidth 2.5 set key -0.1,1.75 unset border plot x - x**2/2 + x**3/3 - x**4/4 lw 2 title "T_4", \ x - x**2/2 + x**3/3 - x**4/4 + x**5/5 - x**6/6 + x**7/7 lw 2 title "T_7", \ x - x**2/2 + x**3/3 - x**4/4 + x**5/5 - x**6/6 + x**7/7 -x**8/8 + \ x**9/9 - x**10/10 + x**11/11 lw 2 title "T_{11}", \ x - x**2/2 + x**3/3 - x**4/4 + x**5/5 - x**6/6 + x**7/7 -x**8/8 + \ x**9/9 - x**10/10 + x**11/11 - x**12/12 + x**13/13-x**14/14 + \ x**15/15 - x**16/16 lw 2 title "T_{16}", \ log(1+x) lw 3 lt 7
Licensing edit
Public domainPublic domainfalsefalse |
I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. |
File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 23:27, 30 November 2009 | 1,000 × 1,000 (128 KB) | Plasticspork (talk | contribs) | Increased fontsize | |
20:20, 29 November 2009 | 1,000 × 1,000 (128 KB) | Plasticspork (talk | contribs) | Changed font from Times to Times New Roman | ||
14:13, 5 March 2008 | 1,000 × 1,000 (127 KB) | Nilesj (talk | contribs) | typo in the original file mis-labeled one of the graphs; T_16 is now correctly labeled | ||
23:56, 4 March 2008 | 1,000 × 1,000 (127 KB) | Nilesj (talk | contribs) | Reverted to version as of 18:32, 4 March 2008 | ||
23:56, 4 March 2008 | 1,000 × 1,000 (62 KB) | Nilesj (talk | contribs) | |||
23:51, 4 March 2008 | 1,000 × 1,000 (62 KB) | Nilesj (talk | contribs) | |||
18:32, 4 March 2008 | 1,000 × 1,000 (127 KB) | Nilesj (talk | contribs) | {{Information |Description=log(1+x) and Taylor approximations of degree 4, 7, 11, 13 |Source=self-made |Date=3/4/2008 |Author= Niles |Permission=Public domain |other_versions= }} |
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Image title | Produced by GNUPLOT 4.2 patchlevel 5 |
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