Plot points with coordinates where \(x\) and \(y\) are equal. Three points are sufficient, but more can be plotted. Draw a line through the plotted points. If \(x\) is positive, \(y\) is negative. If ...

Matching linear equations with their corresponding graphs is a fundamental skill in algebra and a crucial stepping stone for understanding more complex mathematical concepts. This exercise not only ...

Our past columns have emphasized repeatedly that modeling is the single most important activity in mechatronics, which is becoming the design process of choice for successful multidisciplinary systems ...

We discuss several fascinating concepts and algorithms in graph theory that arose in the design of a nearly-linear time algorithm for solving diagonally-dominant linear systems. We begin by defining a ...

Abstract: In this paper, we explore to solve the linear equation problem Aθ = b under a directed graph. A “consen-sus+innovation” type distributed algorithm is proposed. In order to promote the ...