Abstract: It is time-consuming to obtain performance metrics for feasible topologies during the design of power electronic converters. This article proposes a graph-theory-based algorithm that ...

The original version of this story appeared in Quanta Magazine. Imagine a town with two widget merchants. Customers prefer cheaper widgets, so the merchants must compete to set the lowest price.

Descriptive set theorists study the niche mathematics of infinity. Now, they’ve shown that their problems can be rewritten in the concrete language of algorithms. All of modern mathematics is built on ...

I believe that every person has a superpower. Some lead with instinct, others with precision. Some ignite ideas, others build the systems that make those ideas real. The trick — in business, in ...

Picture this: you’ve decided to host a dinner party. The guest list is small but important. You spend the week cleaning the house, polishing the silver, and making sure every detail reflects care. You ...

The mathematics behind artificial intelligence (AI) and machine learning (ML) rely on linear algebra, calculus, probability, and statistics. These provide the foundation for developing the needed ...

Graph theory is an integral component of algorithm design that underlies sparse matrices, relational databases, and networks. Improving the performance of graph algorithms has direct implications to ...

ABSTRACT: The models of Perfect & Pure competition, and the growth theory of the firm and part of Managerial Economics are analytically presented. Our effort was to help managers to apply the theory, ...