Abstract: This study addresses the problem of estimating the velocity and displacement of building structures. Initially, the dynamics of a building subject to seismic disturbance are represented ...

ABSTRACT: The paper presents some results on partially ordered rings. In section 2, it is shown that Archimedean directed maximal partial orders on integral domains must be total orders. Section 3 ...

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ABSTRACT: It is now known that homological algebra and double duality have brought a revolution in pure mathematics after 1950, particularly in algebraic geometry with the use of extension modules.

Illustration of a set of real zeros of a graph polynomial (middle) and two Feynman diagrams. Credit: Max Planck Institute for Mathematics in the Sciences How can the behavior of elementary particles ...

Algebraic structures such as operads, Lie algebras and higher A∞-algebras underpin many foundational aspects of modern mathematics. When combined with homotopy theory—the study of continuous ...

It has never been more important to know where the power lies at the top of Chelsea. Todd Boehly has been, for many outsiders, the face of the American consortium that paid £2.3billion ($3bn) to ...

This Paper addresses the limitations of classical machine learning approaches primarily developed for data lying in Euclidean space. Modern machine learning increasingly encounters richly structured ...