檔案:Largenumbers.svg

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Largenumbers.svg(SVG 檔案,表面大小:600 × 480 像素,檔案大小:25 KB)
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摘要

W3C red 
W3C-validity not checked.
Lissajous small 
vector image使用Gnuplot創作。
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 自己的作品
作者 NYKevin
其他版本
Other related versions:File:LLN_Die_Rolls.gif
Translate this file This SVG file contains embedded text that can be translated into your language, using any capable SVG editor, text editor or the SVG Translate tool. For more information see: About translating SVG files.
This file is translated using SVG <switch> elements. All translations are stored in the same file! Learn more.

For most Wikipedia projects, you can embed the file normally (without a lang parameter). The Wikipedia will use its language if the SVG file supports that language. For example, the German Wikipedia will use German if the SVG file has German. To embed this file in a particular language use the lang parameter with the appropriate language code, e.g. [[File:Largenumbers.svg|lang=en]] for the English version. Do not specify a lang parameter if it is not needed. The parameter may prevent the use of a subsequent translation.

To translate the text into your language, you can use the SVG Translate tool. Alternatively, you can download the file to your computer, add your translations using whatever software you're familiar with, and re-upload it with the same name. You will find help in Graphics Lab if you're not sure how to do this.

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]);


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目前2024年2月1日 (四) 05:28於2024年2月1日 (四) 05:28的縮圖版本600 × 480(25 KB)ManlleusFile uploaded using svgtranslate tool (https://svgtranslate.toolforge.org/). Added translation for ca.

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