Abstract: This paper presents the detailed analysis of a Green's function solution of the hyperbolic heat equation, which is derived for a thin one-dimensional benchmark structure heated on one side ...

This article refers to the “Mathematics of Harmony” by Alexey Stakhov [1], a new interdisciplinary direction of modern science. The main goal of the article is to describe two modern scientific ...

ABSTRACT: We suggest an original approach to Lobachevski’s geometry and Hilbert’s Fourth Problem, based on the use of the “mathematics of harmony” and special class of hyperbolic functions, the ...

The frequency-swept pulse known as the hyperbolic-secant (HS) pulse is popular in NMR for achieving adiabatic spin inversion. The HS pulse has also shown utility for achieving excitation and ...

In the paper, the authors find series expansions and identities for positive integer powers of inverse (hyperbolic) sine and tangent, for composite of incomplete gamma function with inverse hyperbolic ...

Evidence strongly indicates that human decision makers discount the future using a hyperbolic function instead of following an exponential, which has been the long-standing assumption. We compare the ...