Preparation for any exam requires an overall understanding and a rigorous practice of all the concepts to be tested in that exam. This can be achieved by a thorough learning of each topic given in the ...
A permutation is an arrangement of objects in a specific order. In a set of distinct items, the number of ways we can arrange them is called the ‘permutation’. To calculate permutations, we use the ...
$$ \begin{array}{l}{C\left(n, n_{1}\right) C\left(n-n_{1}, n_{2}\right) \cdots C\left(n-n_{1}-\cdots-n_{k-1}, n_{k}\right)} \ {=\frac{n !}{n_{1} !\left(n-n_{1}\right ...
Invariance of a random discrete distribution under size-biased permutation is equivalent to a conjunction of symmetry conditions on its finite-dimensional distributions. This is applied to ...
ABSTRACT: The spectral properties of special matrices have been widely studied, because of their applications. We focus on permutation matrices over a finite field and, more concretely, we compute the ...
Abstract: A class of nonlinear codes for discrete channels is defined with the use of permutation groups. Several examples of such codes are given; their parameters are similar to those for ...
Abstract: The permutation flow shop problem has been known for over 60 years. Many heuristic approaches were already used for solving this type of combinatorial problem. Due to their increasing ...
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