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6 questions with no upvoted or accepted answers
2 votes
0 answers
82 views

Revealed preference rank rule: variation on horse race problem

Suppose there are x number of objects to be ranked. Then there are x[(x-1)/2] possible comparisons of these objects. Only subsets of x can be evaluated for comparisons and there is always one most and ...
user3290799's user avatar
2 votes
0 answers
512 views

How to distribute 5-digit numbers in 5x5 matrices

I have 98000 5-digit numbers, from 00001 to 98000. I need to distribute these 98000 numbers in 14000 5x5 matrices. A matrix cell must contain only a digit from 0 to 9. Each matrix must receive 7 ...
wind39's user avatar
  • 121
2 votes
0 answers
651 views

Does a matrix represent a bijection

We have a square binary matrix that represents a connection from rows to columns. Is there a way to tell if a bijection exists (other than checking for all possible bijections and iterating through ...
William Entriken's user avatar
0 votes
0 answers
34 views

How to permute the rows and cols of a matrix to maximize the set of pivots?

Given an $m\times n$ matrix $A$, how can I find permutations $\sigma,\tau$, such that for the matrix $B=A[\sigma,\tau]$ with shuffled columns and rows, the number of nonzero entries that have zeros ...
Leo's user avatar
  • 10.7k
0 votes
0 answers
111 views

Summing the product of combinations of matrix elements

I have a situation where I have an $NxN$ matrix $A$ where each element $a_{i,j}\in\mathbb{R}_{\leq 0}$. I would like to consider the set of all collections of elements such that each collection of $N$ ...
foob's user avatar
  • 121
0 votes
1 answer
399 views

number of ways to fill a 2D grid

We have a 2D grid with n rows and m columns, we can fill it with numbers between 1 and k (both inclusive). Only condition is that for each r such that 1<=r<=k ,no two rows must have exactly the ...
user103260's user avatar