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In this paper, an attempt is made to apply the Euler's Totient function and Euler's theorem to organizing calculations of the period of the modular exponentiation function inspired by Shor's quantum ...

ABSTRACT: In financial analysis risk quantification is essential for efficient portfolio management in a stochastic framework. In this paper we study the value at risk, the expected shortfall, ...

ABSTRACT: In this article, we propose a new class of production functions in the new classical theory of economics and study its qualities based on Euler’s relation of quasi-homogeneous functions. In ...

Abstract: In this paper, a semi-implicit Euler approximation scheme is proposed for a second-order homogeneous differ-entiator. Compared to an explicit Euler approximation, it is well-known that ...