ABSTRACT: This extensive research paper provides a thorough investigation of the algebraic structure of complex products in groups, with comprehensive analysis of both commutative and non-commutative ...

All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in general, research mathematicians don’t need to think about it ...

In the field of multi-objective evolutionary optimization, prior studies have largely concentrated on the scalability of objective functions, with relatively less emphasis on the scalability of ...

Introduction: The centrosome is a key regulator of cell division, structure, and function. While it acts as the microtubule-organizing center (MTOC) in proliferating cells, differentiated cells often ...

Abstract: Tropical geometry has recently found several applications in the analysis of neural networks with piecewise linear activation functions. This article presents a new look at the problem of ...

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In April, the Federal Circuit issued a significant patent law ruling involving artificial intelligence. In Recentive Analytics, Inc. v. Fox Corp, the Court addressed a core question facing many ...

(The Conversation is an independent and nonprofit source of news, analysis and commentary from academic experts.) Surprise: You can answer this question with modern algebra. Most folks who have been ...