Square of 20 random number sum up to 1

Question

shawin 2018-9-6

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/417844-square-of-20-random-number-sum-up-to-1

编辑： Dimitris Kalogiros 2018-9-6

The code below generate 20random number which their sum up to 1. r = rand(1, 20); % Start with 20 random numbers. r = r / sum(r) % Normalize so the sum is 1. theSum = sum(r) % Check to make sure. Should be 1

How we can generates 20 random number in which their squares are sum up to 1.

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Answer 1

Dimitris Kalogiros 2018-9-6

0
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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/417844-square-of-20-random-number-sum-up-to-1#answer_335714

编辑：Dimitris Kalogiros 2018-9-6

在 MATLAB Online 中打开

clear ; clc;
N=20;
r=rand(1,N);
normFactor=sqrt(sum(r.^2));
r=r/normFactor;
figure; 
plot(r,'bo');
zoom on; grid on;
xlabel('index'); ylabel('random number');
S=sum(r.^2);
fprintf('sum of square random numbers :  %f \n', S);