My students know all too well that if they need help in math, I’m the last teacher to ask. Math was extremely hard for me in school. Numbers moved around ...

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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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 ...

How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of recent work by the ...

ABSTRACT: This paper explores the foundational and advanced aspects of A ∞ -algebras. We present a comprehensive study of A ∞ -algebras and their homology, emphasizing the construction of long exact ...

Giant mounds of sand discovered beneath the North Sea off Norway may scramble what we know about a key geological process. When you purchase through links on our site, we may earn an affiliate ...

When most people think of shapes, they imagine a triangle, a rectangle, or maybe even a fancier-sounding rhombus or trapezoid. But to mathematicians, shapes encompass a vast universe of surprising ...