File:Largenumbers.svg
維基百科,自由的 encyclopedia
原始檔案 (SVG 檔案,表面大小:600 × 480 像素,檔案大小:25 KB)
摘要
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) |
來源 | 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
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]);
授權條款
此檔案在創用CC CC0 1.0 通用公有領域貢獻宣告之下分發。 | |
在此宣告之下分發本作品者,已依據各國著作權法,在全世界放棄其對本作品所擁有的著作權及所有相關相似的法律權利,從而將本作品貢獻至公有領域。您可以複製、修改、分發和演示該作品,用於任何商業用途,所有這些都不需要請求授權。
http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse |
註解 InfoField | 該圖片含有註解:在維基媒體共享資源上查看註解 |
On the left, random fluctuations are evident.
Here, the average begins to level out around 3.5
在此檔案描寫的項目
描繪內容
著作權狀態 繁體中文 (已轉換拼寫)
保有知識產權並由其所有者公開於公有領域 繁體中文 (已轉換拼寫)
31 1 2010
檔案歷史
點選日期/時間以檢視該時間的檔案版本。
日期/時間 | 縮圖 | 尺寸 | 用戶 | 備註 | |
---|---|---|---|---|---|
目前 | 2024年1月31日 (三) 21:28 | 600 × 480(25 KB) | Manlleus | 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 | 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 | 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 | 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 | Apparently gnuplot forgot the <svg> closing tag? | ||
2010年1月31日 (日) 23:06 | 沒有縮圖 | (21 KB) | NYKevin | Trying again... looks like the last one had a problem? | |
2010年1月31日 (日) 23:04 | 沒有縮圖 | (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 |
檔案用途
下列頁面有用到此檔案:
全域檔案使用狀況
以下其他 wiki 使用了這個檔案:
- ca.wikipedia.org 的使用狀況
- de.wikipedia.org 的使用狀況
- en.wikipedia.org 的使用狀況
- eu.wikipedia.org 的使用狀況
- fa.wikipedia.org 的使用狀況
- fi.wikipedia.org 的使用狀況
- fr.wikipedia.org 的使用狀況
- he.wikipedia.org 的使用狀況
- it.wikipedia.org 的使用狀況
- ja.wikipedia.org 的使用狀況
- lv.wikipedia.org 的使用狀況
- pt.wikipedia.org 的使用狀況
- Usuário(a):MCarrera (NeuroMat)/Lei dos grandes números
- Usuária:MCarrera (NeuroMat)/ Lei dos grandes números (leitura de fórmulas)
- Usuário(a):Gildemar Felix/Teste1 - Lei dos Grandes Números
- Usuário(a):MCarrera (NeuroMat)/Testes/Lei dos grandes números
- Usuário(a):MCarrera (NeuroMat)/Testes/Lei dos grandes números (fórmulas)
- Usuário:Gildemar Felix/Testes/Lei dos grandes números
- simple.wikipedia.org 的使用狀況
- sq.wikipedia.org 的使用狀況
- sr.wikipedia.org 的使用狀況
- th.wikipedia.org 的使用狀況
- tr.wikipedia.org 的使用狀況
- www.wikidata.org 的使用狀況
- zh.wikibooks.org 的使用狀況
詮釋資料
此檔案中包含擴展的資訊。這些資訊可能是由數位相機或掃描器在建立時或數位化過程中所加入。
如果此檔案的來源檔案已被修改,一些資訊在修改後的檔案中將不能完全反映出來。
影像標題 | Produced by GNUPLOT 4.2 patchlevel 5 |
---|---|
寬度 | 600 |
高度 | 480 |