Adding all possible combinations of array elements

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K 2014-8-12

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评论： K 2014-8-13

I have an array of elements,

How would I generate a new array of all possible combinations, multiples, and combinations of multiples within a threshold limit of, say, 30?

ex:

X=[a b c d]; where a, b, c, d are real, positive, small integers

M=[a, b, c, d, 2*a, 2*b, ... 3*a, 3*b,...4*a, 4*b, ...a+b, a+b+c,... 2a+2b,...2a+c,... 10a+10b+d, ... .. .. ]

M(M>=30)=[];

where ALL possible combinations are there, excluding repeat combinations, but including repeat numbers

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Image Analyst 2014-8-12

Hey, are you still there?

K 2014-8-12

Hey, I'm still here. It's not homework, it is a simulation program to help model data.

There are definitely constraints. They are all positive, real numbers, that have larger spacing between them as I to the right on the array. I don't need to keep track of the multiplication factor as I go.

I was thinking to first make a matrix of the multiplication factors, where I have my array accross the top line, then all the multiples below, then deleting the numbers greater than my limit. Like so:

a b c d

2a 2b 2c 2d

3a 3b.....

Then doing all the number combinations after that... ?

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回答（1 个）

Ahmet Cecen 2014-8-12

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https://ww2.mathworks.cn/matlabcentral/answers/147236-adding-all-possible-combinations-of-array-elements#answer_148258

Use combnk to get the the unique combinations over a,b,c and d. For each of those combinations, use base math to get the repetitive variations from 1 to 30. However, the number of elements within M might explode at 30. You might want to consider a lower number.

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K 2014-8-13

This gives me the error:

"Cell contents assignment to a non-cell array object."

Is there another way?

K 2014-8-13

Actually, i just got it working. Thank you for your advice. The curly brackets work wonderfully. I just had to create a cell array outside the for loop for it to input into.

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