The original version of this story appeared in Quanta Magazine. All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in ...

Can you chip in? As an independent nonprofit, the Internet Archive is fighting for universal access to quality information. We build and maintain all our own systems, but we don’t charge for access, ...

This article Boost your mental math speed and accuracy with these effective abacus tricks. This practical guide explains fundamental techniques like direct addition and subtraction using complements ...

Balthasar Grabmayr does not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and has disclosed no relevant affiliations beyond ...

ABSTRACT: The paper continues the research on algorithms for generating nondeterministic finite automata possessing the following property (the so-called walibad property): among their covering ...

Abstract: This paper discusses finite-time synchronization of complex-valued neural networks (CVNNs) with infinite delays. By utilizing non-separation approach, analytical strategy, and inequality ...

You will never be able to prove every mathematical truth. For me, this incompleteness theorem, discovered by Kurt Gödel, is one of the most incredible results in mathematics. It may not surprise ...

The Harvard Math Department will pilot a new introductory course aimed at rectifying a lack of foundational algebra skills among students, according to Harvard’s Director of Introductory Math Brendan ...

ABSTRACT: In this paper, the optimal control problem of parabolic integro-differential equations is solved by gradient recovery based two-grid finite element method. Piecewise linear functions are ...

ICMSEC, LSEC, NCMIS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing ...