Different atoms and ions possess characteristic energy levels. Like a fingerprint, they are unique for each species. Among ...

Functorial Semantics of Algebraic Theories Original unpublished; Ph.D. thesis, Columbia University, 1963. See extended TAC reprint 2004 1963 Functorial Semantics of Algebraic Theories (short notice) ...

ABSTRACT: Using elementary Mother space of type e M , we construct semiring N , ring Z and field Q of extended numbers inculuding natural numbers ℕ , rational integers ℤ and rational numbers ℚ . We ...

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 ...

In August, a team of mathematicians posted a paper claiming to solve a major problem in algebraic geometry — using entirely alien techniques. It instantly captivated the field, stoking excitement in ...

Hyderabad: The CSIR-Centre for Cellular and Molecular Biology (CCMB) is hosting a five-day EMBO India Lecture Course titled ‘Structure, Function and Quality Control of Proteins in Cell Organelles.' ...

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 ...

Mathematics and physics share a close, reciprocal relationship. Mathematics offers the language and tools to describe physical phenomena, while physics drives the development of new mathematical ideas ...

Abstract: The story behind the Euclidean algorithm and its relationship to the solution of the Diophantine equation is examined in this article. The Euclidean algorithm appears in Proposition 2 in ...

An introductory course exploring the visual cultures of the ancient and medieval Mediterranean, Mesoamerica, Africa, and Asia up to 1400. Special emphasis on visual analysis, historical and ...