Image:PlotDiscriminantsOfQuarticFields.svg
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PlotDiscriminantsOfQuarticFields.svg (SVG file, nominally 600 × 480 pixels, file size: 15 KB)
| This is a file from the Wikimedia Commons. The description on its description page there is shown below.
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[edit] Summary
| Description |
Plot of the number of quartic fields of bounded discriminant up to 107, and the asymptotic distribution. Data from Cohen, Diaz y Diaz, and Olivier, Constructing Complete Tables of Quartic Fields using Kummer Theory, Math. Comp. 2003. Asymptotic from Bhargava, "The Density of Discriminants of Quartic Rings and Fields", Ann. Math. 2005. |
|---|---|
| Source |
self-made |
| Date |
2007-11-25 |
| Author | |
| Permission (Reusing this image) |
Public Domain |
[edit] Data file
This image was created using gnuplot 4.2.2 with the following command file
set terminal svg enhanced fname "Helvetica" fsize 20
set output "quartic.svg"
#Axes
set size square #make the graph square
set logscale #loglog plot
set xrange [ 100 : 10000000 ] #adjust axis range
set yrange [ 10 : 10000000 ]
set xlabel "Bound on Discriminant"
set ylabel "Quartic Number Fields"
set xlabel 0.0, 0.5 #adjust positioning of axis label
set ylabel -2.1, 0.0
#tics
set format "@{10}&{m}^{%L}" #adjust format of tic labels
set xtics offset 1.0,0.45 nomirror #adjust placement of tic labels, and nomirror tics
set ytics offset 3.0,0.0 nomirror
set mxtics 10 #set number of minor tics
set mytics 10
set grid xtics ytics lt rgb "gray" lw 1 #set grid
set style line 1 lt 3 pt 1 ps 0.9 #set marker style to blue cross, adjust size
set style line 2 lt -1 lw 2 #set marker style to black thick line
plot "quarticdata" index 0 using 1:2 notitle with points linestyle 1 ,\
"quarticdata" index 1 using 1:2 notitle with lines linestyle 2
[edit] Licensing
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I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide. In case this is not legally possible: Afrikaans | Alemannisch | Aragonés | العربية | Asturianu | Български | Català | Česky | Cymraeg | Dansk | Deutsch | Eʋegbe | Ελληνικά | English | Español | Esperanto | Euskara | Estremeñu | فارسی | Français | Galego | 한국어 | हिन्दी | Hrvatski | Ido | Bahasa Indonesia | Íslenska | Italiano | עברית | Kurdî / كوردی | Latina | Lietuvių | Latviešu | Magyar | Македонски | Bahasa Melayu | Nederlands | Norsk (bokmål) | Norsk (nynorsk) | 日本語 | Polski | Português | Ripoarisch | Română | Русский | Shqip | Slovenčina | Slovenščina | Српски / Srpski | Svenska | ไทย | Tagalog | Türkçe | Українська | Tiếng Việt | Walon | 中文(简体) | 中文(繁體) | zh-yue-hant | +/- |
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Dimensions | User | Comment | |
|---|---|---|---|---|
| current | 02:57, 26 November 2007 | 600×480 (15 KB) | RobHar | (Previous version looked fine by itself in firefox but otherwise looked bad.) |
| 02:25, 26 November 2007 | 600×480 (15 KB) | RobHar | ({{Information |Description=Plot of the number of quartic fields of bounded discriminant up to 10^7, and the asymptotic distribution. Data from Cohen, Diaz y Diaz, and Olivier, '''Constructing Complete Tables of Quartic Fields using Kummer Theory''', Math.) |
