$$\sinh(x) \equiv \frac{e^x - e^{-x}}{2}$$ $$\cosh(x) \equiv \frac{e^x + e^{-x}}{2}$$ $$\tanh(x) \equiv \frac{\sinh(x)}{\cosh(x)} = \frac{e^{2x} - 1}{e^{2x} + 1 ...

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 ...

THE object of the authors of this volume of mathematical tables is “to supply a comprehensive set of tables of the numerical values of the elementary functions which are in constant use in mathematics ...

Abstract: A typical floating-point environment includes support for a small set of about 30 mathematical functions such as exponential, logarithm, trigonometric and hyperbolic functions. These ...

Whether people tend to punish criminals in a socially-optimal manner (i.e., hyperbolic punishment) or not is unknown. By adopting mathematical models of probabilistic punishment behavior (i.e., ...

Abstract: The research of HPA mathematical model is an important part of the research on the nonlinearity distortion of HPA. Several HPA mathematical models are compared in this paper. Two simple and ...

This is a preview. Log in through your library . This monthly journal, begun in 1950, is devoted entirely to research in pure and applied mathematics, principally to the publication of original papers ...

Mathematical methods and special functions have long served as the backbone of modern theoretical physics and applied mathematics. These tools enable researchers to solve complex differential ...

I was documenting the _draw() low level functions at godotengine/godot-docs#7532 and, as part of teaching a real-world problem wanted to implement a catenary shape (a ...