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 ...

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 ...

Discrete Ricci curvature formulations offer novel perspectives for characterizing geometric properties of weighted graphs. This work proposes continuous piecewise linear Ricci curvature flows and ...

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 ...

Let 𝑅 be any subring of the reals. We present a generalization of linear systems on graphs where divisors are 𝑅-valued functions on the set of vertices and graph edges are permitted to have ...

We present an Oe(m + n 1.5 )-time randomized algorithm for maximum cardinality bipartite matching and related problems (e.g. transshipment, negative-weight shortest paths, and optimal transport) on ...

With the increasing availability of high-quality genome assemblies, pangenome graphs emerged as a new paradigm in the genomic field for identifying, encoding, and presenting genomic variation at both ...