File:Largenumbers.svg
Original file (SVG file, nominally 600 × 480 pixels, file size: 25 KB)
This file is from Wikimedia Commons and may be used by other projects. The description on its file description page there is shown below.
Summary
DescriptionLargenumbers.svg |
Català: Una il·lustració de la llei dels grans nombres, semblant a File:LLN_Die_Rolls.gif però utilitzant el format svg en comptes de gif. Això utilitza dades diferents i, per tant, sembla diferent. El codi font es troba a la secció següent. El codi està sota la mateixa "llicència" que l'obra en si.
English: An illustration of the w:law of large numbers, similar to File:LLN_Die_Rolls.gif but using the svg format instead of gif. This uses different data from that and hence it looks different. Source code is in the section below. The code is under the same "license" as the work itself. |
Date | (UTC) |
Source | Own work |
Author | NYKevin |
Other versions |
File:Largenumbers.svg has 2 translations.
Other related versions:File:LLN_Die_Rolls.gif |
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Source code
Note that you will need to insert some paths. I've tried to make it obvious where to do so.
This code is all in the public domain (the cc0 waiver applies to it)
The code (in Java) which generated the data:
import java.io.*;
public class Main {
public static void main(String[] args) {
PrintStream output=null;
try{
output=new PrintStream("");//FIXME Insert a suitable path in the quote marks
}catch(FileNotFoundException e){
throw new RuntimeException(e);
}
//int diceValues[] = {0,0,0,0,0,0};//this variable may be uncommented and used for debugging
double average=0;
double total=0;
output.println("#count average");//makes a header for the data; may be safely removed
Random rnd=new Random(4124484382302655524l);
//seed selected by trial and error
for(int i=1;i<=1000;i++){
int rand=rnd.nextInt(6);//now holds a random int from 0 to 5
//diceValues[rand]++;//uncomment for debugging
rand++;//convert to 1-indexed
total+=rand;
average=total/i;
output.println(i+" "+(average));
}
//System.out.println(average);
}
}
The gnuplot code:
set terminal svg
set output "OUTPUT PATH HERE"
set title "average dice value against number of rolls"
set xlabel "trials"
set ylabel "mean value"
plot [] [1:6] "PATH FROM JAVA CODE HERE" title "average" with lines, 3.5 title "y=3.5" with lines
#it is recommended that you copy and paste this code into a .plt file and run it in batch mode:
#If you must run this interactively, be sure to type "exit" or ^D (control-D) at the end,
#or gnuplot will leave off the </svg> closing tag.
MATLAB/Octave Source code
% Specify how many trials you want to run:
num_trials = 1000;
% Now grab all the dice rolls:
trials = randi(6, [1 num_trials]);
% Plot the results:
figure(1);
% Cumulative sum of the trial results divided by the index gives the
% average:
plot(cumsum(trials)./(1:num_trials), 'r-');
% Let's put a reference line at 3.5 just for fun (make the color a darker
% green as well):
hold on;
plot([1 num_trials], [3.5 3.5], 'color', [0 0.5 0]);
% Make it look pretty:
title('average dice value against number of rolls');
xlabel('trials');
ylabel('mean value');
legend('average', 'y=3.5');
axis([0 num_trials 1 6]);
Licensing
This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. | |
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse |
Annotations InfoField | This image is annotated: View the annotations at Commons |
On the left, random fluctuations are evident.
Here, the average begins to level out around 3.5
Items portrayed in this file
depicts
31 January 2010
image/svg+xml
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 00:54, 15 November 2024 | 600 × 480 (25 KB) | Dr. Greywolf | File uploaded using svgtranslate tool (https://svgtranslate.toolforge.org/). Added translation for yue. |
File usage
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Metadata
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If the file has been modified from its original state, some details may not fully reflect the modified file.
Image title | Produced by GNUPLOT 4.2 patchlevel 5 |
---|---|
Width | 600 |
Height | 480 |