This paper introduces an applied problem-solving task, set in the context of cryptography and embedded in a network of computer-based tools. This designed learning environment engaged students in a ...

Abstract: This paper investigates the consensus problem of multi-agent systems under the proportional-derivative (PD) control protocol. It devises an automatic search algorithm for the polynomial ...

The definition of a Taylor polynomial of order k of a function f at a point xo implies that the degree of this polynomial is at most k, but it can be smaller than k (if f (k)(x0) = 0). It is plain to ...

A polynomial is an algebraic expression involving many terms and can be factorised using long division or synthetic division. Laws of logarithms and exponents Revise what logarithms are and how to use ...

Algorithmic complexity, a cornerstone of theoretical computer science, examines the intrinsic resource requirements of computational problems and the limits of what can be efficiently computed. Within ...

SOSTOOLS is a free MATLAB toolbox for formulating and solving polynomial optimization programs by searching for a sum-of-squares decompostion of a multivariate polynomial. A sum-of-squares ...

In a factorial ring, we can define the p.g.c.d. of two elements (defined to the nearest unit) and the notion of prime elements between them. More generally, Bezout’s identity characterizes two prime ...

Mahesh Ramesh Kakde, winner of this year’s Vigyan Yuva Shanti Swarup Bhatnagar award for Mathematics, is a number theorist at the Indian Institute of Science, Bengaluru, who studies polynomial ...

ABSTRACT: The aim of this paper is to approximate the solution of system of fractional delay differential equations. Our technique relies on the use of suitable spline functions of polynomial form. We ...