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File:Largenumbers.svg

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原本檔案 (SVG檔案,表面大細: 600 × 480 像素,檔案大細:25 KB)

整幅版嘅圖。

摘要

 
W3C-validity not checked.
 
This W3C-unspecified plot was created with Gnuplot.
描述
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.
日期 (UTC)
來源 自己作品
作者 NYKevin
Other versions
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]);


協議

Creative Commons CC-Zero 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.

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圖中顯示嘅係

31 1 2010

image/svg+xml

檔案歷史

撳個日期/時間去睇響嗰個時間出現過嘅檔案。

日期/時間縮圖尺寸用戶註解
現時2024年11月15號 (五) 06:54響2024年11月15號 (五) 06:54嘅縮圖版本600 × 480(25 KB)Dr. GreywolfFile uploaded using svgtranslate tool (https://svgtranslate.toolforge.org/). Added translation for yue.
2024年1月31號 (三) 21:28響2024年1月31號 (三) 21:28嘅縮圖版本600 × 480(25 KB)ManlleusFile uploaded using svgtranslate tool (https://svgtranslate.toolforge.org/). Added translation for ca.
2010年2月3號 (三) 02:53響2010年2月3號 (三) 02:53嘅縮圖版本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號 (日) 23:53響2010年1月31號 (日) 23:53嘅縮圖版本600 × 480(21 KB)NYKevinBetter version, with better Java code (more precise). Will update source soon.
2010年1月31號 (日) 23:35響2010年1月31號 (日) 23:35嘅縮圖版本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號 (日) 23:08響2010年1月31號 (日) 23:08嘅縮圖版本600 × 480(21 KB)NYKevinApparently gnuplot forgot the <svg> closing tag?
2010年1月31號 (日) 23:06無縮圖(21 KB)NYKevinTrying again... looks like the last one had a problem?
2010年1月31號 (日) 23:04無縮圖(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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