File:Largenumbers.svg
原始文件 (SVG文件,尺寸为600 × 480像素,文件大小:25 KB)
说明
摘要
[编辑]描述Largenumbers.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. |
日期 | (UTC) |
来源 | 自己的作品 |
作者 | NYKevin |
其他版本 |
File:Largenumbers.svg has 2 translations.
Other related versions:File:LLN_Die_Rolls.gif |
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 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
[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]);
许可协议
[编辑]本作品采用知识共享CC0 1.0 通用公有领域贡献许可协议授权。 | |
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。
http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse |
注解 InfoField | 该图片含有注解:在维基媒体共享资源上查看注解 |
On the left, random fluctuations are evident.
Here, the average begins to level out around 3.5
文件历史
点击某个日期/时间查看对应时刻的文件。
日期/时间 | 缩略图 | 大小 | 用户 | 备注 | |
---|---|---|---|---|---|
当前 | 2024年1月31日 (三) 21:28 | 600 × 480(25 KB) | Manlleus(留言 | 贡献) | File uploaded using svgtranslate tool (https://svgtranslate.toolforge.org/). Added translation for ca. | |
2010年2月3日 (三) 02:53 | 600 × 480(22 KB) | NYKevin(留言 | 贡献) | In 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) 23:53 | 600 × 480(21 KB) | NYKevin(留言 | 贡献) | Better version, with better Java code (more precise). Will update source soon. | ||
2010年1月31日 (日) 23:35 | 600 × 480(21 KB) | NYKevin(留言 | 贡献) | I 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) 23:08 | 600 × 480(21 KB) | NYKevin(留言 | 贡献) | Apparently gnuplot forgot the <svg> closing tag? | ||
2010年1月31日 (日) 23:06 | 没有缩略图 | (21 KB) | NYKevin(留言 | 贡献) | Trying 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(留言 | 贡献) | {{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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图像标题 | Produced by GNUPLOT 4.2 patchlevel 5 |
---|---|
宽度 | 600 |
高度 | 480 |