1.To understand the representation permutation. 2.Able to generate permutation from a set of data. 2 EQUIPMENTS 1.Personal Computer. 2.R Software. 3 SYNOPSIS & THEORY 3.1 PERMUTATION Permutation of a ...

Department of Mathematics and Computer Science, University of the Philippines, Baguio City, Philippines. Department of Mathematics, De La Salle University, Manila, Philippines. to mean that for. We ...

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We analyze various families of discrete maps in N-qubit systems in the context of permutation invariance. We prove that the tomographic condition imposed on the self-dual (Wigner) map is incompatible ...

Abstract: Digital twin technology is becoming increasingly vital in intelligent production and Industry 4.0. Nevertheless, the simulation system of the digital twin frequently serves merely as a ...

Tests based on the permutation of observations are a common and attractive method of comparing two groups of outcomes, in part because they retain proper test size with minimal assumptions and can ...

Abstract: This paper studies a specific class of multiobjective combinatorial optimization problems (MOCOPs), namely the permutation-based MOCOPs. Many commonly seen MOCOPs, e.g., multiobjective ...

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 ...