This paper provides a simple proof for the Perron-Frobenius theorem concerned with positive matrices using a homotopy technique. By analyzing the behaviour of the eigenvalues of a family of positive ...
Abstract: In this paper we consider the deductive verification of propositional temporal logic specifications of symmetric systems. In particular, we provide a heuristic approach to the scalability ...
This paper provides proof of conjectures about the expected values of the jth elementary symmetric function of the roots (i.e. $E(\operatorname{tr}_j A)$) of a non ...
https://doi.org/10.4169/college.math.j.48.1.18 https://www.jstor.org/stable/10.4169/college.math.j.48.1.18 We describe the fundamental theorem on symmetric ...
ABSTRACT: This study introduces the representation of natural number sets as row vectors and pretends to offer a new perspective on the strong Goldbach conjecture. The natural numbers are restructured ...
The Bôcher theorem for fractional Laplacian extends the classical Bôcher theorem with a unified proof that can be adapted in other situations. Our distributional approach reduces the regularity ...
All functions are oriented around inverse demand and cost functions. Where x = firm1 quantity and y = firm2 quantity. Inverse demand refers to all demand curves being in the form of Price = All ...
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