Algorithmic advances can come from the most unexpected places. The following paper by Koutis, Miller, and Peng is an elegant case in point. It describes an emerging approach to solving linear systems ...

When learning algebra, one of the most crucial skills to acquire is understanding how to graph linear equations. It helps you visualize relationships between variables and solve mathematical problems.

In this video we will learn about the plotting of graphs for a pair of linear equations in two variables. Two straight lines are obtained when we plot a pair of linear equations on the graph paper ...

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 ...

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 ...

This PowerPoint introduces the topic of straight line graphs and focuses on understanding and plotting linear functions in the form y=mx+c. Number Reduce a given linear equation in two variables to ...

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 ...

The Stacked Linear Algebra Graph implements a directed graph with a weight on each vertex and edge. The graph models vertices and adjacency matrices as GraphBLAS sparse vectors and matrices ...

Why we need numerical analysis? Non-linear equations are commonly found in many real-world phenomena, such as in the fields of physics, biology, economics, and more. These equations are often too ...