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File:Largenumbers.svg

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原始文件(SVG文件,尺寸为600 × 480像素,文件大小:22 KB)


文件说明[编辑]

Lissajous small.svg
矢量图使用Gnuplot创作。
说明
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.
日期 (UTC)
来源 自己的作品
作者 NYKevin
其他版本

File:LLN_Die_Rolls.gif

Source code[编辑]

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[编辑]

% 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]);


授权协议[编辑]

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采用本宣告发表本作品的人,已在法律允许的范围内,通过在全世界放弃其对本作品拥有的著作权法规定的所有权利(包括所有相关权利),将本作品贡献至公有领域。您可以复制、修改、传播和表演本作品,将其用于商业目的,无需要求授权。

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文件历史

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日期/时间缩略图大小用户备注
当前2010年2月3日 (三) 02:532010年2月3日 (三) 02:53的版本的缩略图600 × 480(22 KB)NYKevinIn the interest of replicability, this one was generated using a known PRNG seed value. Will update Java source. Also, this one has axis labels!
2010年1月31日 (日) 23:532010年1月31日 (日) 23:53的版本的缩略图600 × 480(21 KB)NYKevinBetter version, with better Java code (more precise). Will update source soon.
2010年1月31日 (日) 23:352010年1月31日 (日) 23:35的版本的缩略图600 × 480(21 KB)NYKevinI mixed up x and y in the legend, will update gnuplot source code in a moment (already checked for svg closing tag).
2010年1月31日 (日) 23:082010年1月31日 (日) 23:08的版本的缩略图600 × 480(21 KB)NYKevinApparently gnuplot forgot the <svg> closing tag?
2010年1月31日 (日) 23:06没有缩略图(21 KB)NYKevinTrying again... looks like the last one had a problem?
2010年1月31日 (日) 23:04没有缩略图(21 KB)NYKevin{{Information |Description={{en|1=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. I will include source c

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