How to generate Combination of special sets and subsets

Question

Triveni 2016-5-18

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/284783-how-to-generate-combination-of-special-sets-and-subsets

评论： Jos (10584) 2016-5-19

 a = [100, 125, 150, 175, 200, 225, 250, 275, 300, 325]; %Initial Guess
 Fx(:,:,1) = [100, 125, 150, 175, 200, 225, 250, 275, 300, 325]; 
 Fx(:,:,2) = [125, 150, 175, 200, 225, 250, 275, 300, 325, 100];  % Delete First Column and add to last
 Fx(:,:,3) = [150, 175, 200, 225, 250, 275, 300, 325, 100, 125];  % Delete Second Column and add to last
 Fx(:,:,4) = [175, 200, 225, 250, 275, 300, 325, 100, 125, 150];
 Fx(:,:,5) = [200, 225, 250, 275, 300, 325, 100, 125, 150, 175];
 Fx(:,:,6) = [225, 250, 275, 300, 325, 100, 125, 150, 175, 200];
 Fx(:,:,7) = [250, 275, 300, 325, 100, 125, 150, 175, 200, 225];
 Fx(:,:,8) = [275, 300, 325, 100, 125, 150, 175, 200, 225, 250];
 Fx(:,:,9) = [300, 325, 100, 125, 150, 175, 200, 225, 250, 275];
 Fx(:,:,10)= [300, 325, 100, 125, 150, 175, 200, 225, 250, 275];
 Tx = [Fx(:,:,1),Fx(:,:,2),Fx(:,:,3),Fx(:,:,4),Fx(:,:,5),Fx(:,:,6),Fx(:,:,7),Fx(:,:,8),Fx(:,:,9),Fx(:,:,10)]; % Combine all subsets
 Cx(:,:,1) = [100, 125, 150, 175, 200, 225, 250, 275, 300, 325];
 Cx(:,:,2) = [125, 150, 175, 200, 225, 250, 275, 300, 325];
 Cx(:,:,3) = [150, 175, 200, 225, 250, 275, 300, 325];
 Cx(:,:,4) = [175, 200, 225, 250, 275, 300, 325];
 Cx(:,:,5) = [200, 225, 250, 275, 300, 325];
 Cx(:,:,6) = [225, 250, 275, 300, 325];
 Cx(:,:,7) = [250, 275, 300, 325];
 Cx(:,:,8) = [275, 300, 325];
 Cx(:,:,9) = [300, 325];
 Cx(:,:,10)= [300];
 Tc = [Cx(:,:,1),Cx(:,:,2),Cx(:,:,3),Cx(:,:,4),Cx(:,:,5),Cx(:,:,6),Cx(:,:,7),Cx(:,:,8),Cx(:,:,9),Cx(:,:,10)];
 %Please help me to find Tx and Tc

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Answer 1

Jos (10584) 2016-5-18

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https://ww2.mathworks.cn/matlabcentral/answers/284783-how-to-generate-combination-of-special-sets-and-subsets#answer_222600

编辑：Jos (10584) 2016-5-18

This is called a circulant matrix. I have written a function that can be found in the File Exchange:

A = [100 125 300 400]
B = circulant(A,-1)
tf = flipud(tril(true(size(B))))
C = B(tf)

CIRCULANT can be downloaded here: http://www.mathworks.com/matlabcentral/fileexchange/22876

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Triveni 2016-5-18

编辑：Triveni 2016-5-18

Can you combine it(in Tx) automatically

 a = [100, 125, 150, 175, 200, 225, 250, 275, 300, 325];
 for k = 1: numel(a)
Fx{:,:,k} = a(k:numel(a))
 end
 Tx = [Fx{:,:,1},Fx{:,:,2},Fx{:,:,3},Fx{:,:,4},Fx{:,:,5},Fx{:,:,6},Fx{:,:,7},Fx{:,:,8},Fx{:,:,9},Fx{:,:,10}];
%

Jos (10584) 2016-5-19

Why are you using 3D cell arrays?

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Answer 2

Jos (10584) 2016-5-18

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https://ww2.mathworks.cn/matlabcentral/answers/284783-how-to-generate-combination-of-special-sets-and-subsets#answer_222587

编辑：Jos (10584) 2016-5-18

Found both of them :D

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Jos (10584) 2016-5-18

Sorry, lame joke. But I did not understand your question. Can you rephrase it?

Triveni 2016-5-18

I want to solve it from loop. or any good way instead of manual solution. i need combination Fx and combine all Fx into Tx

 Tx =
Columns 1 through 27
   100   125   150   175   200   225   250   275   300   325   125   150   175   200   225   250   275   300   325   100   150   175   200   225   250   275   300
Columns 28 through 54
   325   100   125   175   200   225   250   275   300   325   100   125   150   200   225   250   275   300   325   100   125   150   175   225   250   275   300
Columns 55 through 81
   325   100   125   150   175   200   250   275   300   325   100   125   150   175   200   225   275   300   325   100   125   150   175   200   225   250   300
Columns 82 through 100
   325   100   125   150   175   200   225   250   275   300   325   100   125   150   175   200   225   250   275