Abstract: In this paper, we focus on finding positive invariants and Lyapunov functions to establish reachability and stability properties, respectively, of polynomial ordinary differential equations ...

The tangent is defined as the single point where a straight line meets a curved surface. The tangent can be determined with a collection of mathematical formulas but is most commonly determined by ...

This paper uses a degree 3 polynomial approximation for sigmoid (useful in the interval [-5, 5]). It also has a degree 1 approximation with more loss, but it's there. This would be useful to use for ...

Polynomial equations are fundamental concepts in mathematics that define relationships between numbers and variables in a structured manner. In mathematics, various equations are composed using ...

Whenever the sun returns to where it was located when you were born, it’s your solar return, aka your birthday. By a similar token, when the moon returns to the sign where it was located at the time ...

Abstract: The paper describes an application that allows to visualize four-dimensional graphs of a complex variable function. Three coordinates of the graph are Cartesian, and fourth is the parametric ...

I have a set of populations related to wheat, some are domesticated and some not. Therefore, I am almost cretin which populations should be with early split and ...