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 ...

In high school, you probably learned that trigonometric functions – like sine, cosine and tangent –can be derived, geometrically, from a circle (hence why trig functions are also known as “circular” ...

The Pennsylvania State University, University College, York, PA, USA. It is one of the objectives of our investigation to examine the validity of the method [3] [4] solving modified Duffing equation.

This function is used for input variable screening. It is shown above in its only two active variables. A small error term ε ~ N(0, 0.05 2) is added to the response ...

Abstract: This paper presents a new high-speed topologically-simple keyed hash function based on a sinusoidal map, which offers high-degree of chaos over most parameter space regions, and a circular ...

Abstract: The hybrid integrator-gain system (HIGS) is a nonlinear control element with significant potential to enhance controller performance in precise motion control. However, existing HIGS-based ...