Fullerenes are hollow carbon molecules where each atom is connected to exactly three other atoms, arranged in pentagonal and hexagonal rings. Mathematically, they can be combinatorially modeled as ...

Mathematicians aren't usually the first point of call on moving day. And really, why should they be? For nearly 60 years, they couldn't even tell you whether your fancy new three-seat sofa would make ...

1 College of Science, North China University of Science and Technology, Tangshan, China. 2 Hebei Key Laboratory of Data Science and Application, Tangshan, China.

In this effort, we present a new definition of the Steiner symmetrization by using special analytic functions in a complex domain (the open unit disk) with respect to the origin. This definition will ...

Top web3 projects are pushing the boundaries of blockchain, NFTs, smart contracts, and DeFi. This guide explores some of the projects at the forefront of innovation, transforming web3 scalability, ...

The Nash equilibrium is the fundamental solution concept of game theory, playing a central role in fields beyond economics. Nash’s existence proof is famously nonconstructive, and the dynamics ...

1 Economics Department, University of Lusaka, Lusaka, Zambia. 2 Department of Mathematics, Copperbelt University, Kitwe, Zambia. Chapter 1, underlines some important concepts in our paper. We ...

With the recent explosion in the amount, the variety, and the dimensionality of available data, identifying, extracting, and exploiting their underlying structure has become a problem of fundamental ...

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In this post I shall discuss the paper “On a Topological Topos” by Peter Johnstone. The basic problem is that algebraic topology needs a “convenient category of spaces” in which to work: the category ...