File:PlotDiscriminantsOfQuarticFields.svg
Jump to navigation
Jump to search
Size of this PNG preview of this SVG file: 600 × 480 pixels. Other resolutions: 300 × 240 pixels | 960 × 768 pixels | 1,280 × 1,024 pixels | 2,560 × 2,048 pixels.
Original file (SVG file, nominally 600 × 480 pixels, file size: 84 KB)
Captions
Captions
Add a one-line explanation of what this file represents
Summary[edit]
| 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. |
| Date | |
| Source | Own work |
| Author | RobHar |
| Permission (Reusing this file) |
Public Domain |
| SVG development | |
| Source code |
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
|
Licensing[edit]
|
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
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 16:03, 5 August 2009 | | 600 × 480 (84 KB) | RobHar (talk | contribs) | Crossing fingers that this will work. |
| 16:00, 5 August 2009 |  | 600 × 480 (85 KB) | RobHar (talk | contribs) | Display problems keep changing. Try again. | |
| 15:52, 5 August 2009 |  | 600 × 480 (84 KB) | RobHar (talk | contribs) | Fix further display problems. (note: added white background in previous edit) | |
| 15:50, 5 August 2009 |  | 600 × 480 (49 KB) | RobHar (talk | contribs) | Fix display problems, fix inkscape compatibility problems. | |
| 02:57, 26 November 2007 |  | 600 × 480 (15 KB) | RobHar (talk | contribs) | Previous version looked fine by itself in firefox but otherwise looked bad. | |
| 02:25, 26 November 2007 |  | 600 × 480 (15 KB) | RobHar (talk | contribs) | {{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. |
You cannot overwrite this file.
File usage on Commons
There are no pages that use this file.
File usage on other wikis
The following other wikis use this file:
- Usage on en.wikipedia.org
