This study explores the impact of force nature (rational, algebraic, irrational) on solution dynamics in mass–spring systems, with a focus on a given square root nonlinearity. We establish a ...

Mass transport deposits are a fundamental component of deep-water sedimentary systems and play a crucial role in the transportation of sediments from continental slopes to deep-sea basins. However, ...

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.

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 ...

As a powerful modelling method, piecewise linear neural networks (PWLNNs) have proven successful in various fields, most recently in deep learning. To apply PWLNN methods, both the representation and ...

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 ...