You'll feel like you deserve a Nobel Prize when your packages arrive. View Entire Post › ...

(exact-integer-sqrt k) returns floor of square root and the "remainder" More documentation in docstrings.

Abstract: Three composite quadratic Lyapunov functions are used for the construction of stabilizing laws for discrete-time switched systems. The three functions include the max of quadratics, the min ...

Abstract: This paper investigates stabilization of switched systems by using a Lyapunov function composed of a family of continuously differentiable functions. Switching laws are constructed by using ...

For centuries prime numbers have captured the imaginations of mathematicians, who continue to search for new patterns that help them identify primes and the way they are distributed among other ...

1. Relations and Functions Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions. 2. Inverse Trigonometric Functions Definition, range, domain, ...

ABSTRACT: In this paper, we consider a more general bi-level optimization problem, where the inner objective function is consisted of three convex functions, involving a smooth and two non-smooth ...

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The process of combining functions so that the output of one function becomes the input of another is known as a composition of functions. The resulting function is known as a composite function. To ...

Functions are fundamental in mathematics, describing relationships between inputs and outputs. For instance, linear functions are used to describe proportional relationships such as calculating cost ...