The National Academies of Sciences, Engineering, and Medicine are private, nonprofit institutions that provide expert advice on some of the most pressing challenges facing the nation and world. Our ...

The BBVA Foundation Frontiers of Knowledge Award in the Information and Communication Technologies category has gone in this sixteenth edition to Professor Takeo Kanade for developing mathematical ...

Quantum computing is widely believed to be a revolutionary new technology. In fact, it is a double-edged sword. If efficient quantum computers can be manufactured in near future, many of the current ...

In global and social issues becoming more manifest and severe due to complex intertwined factors, in order to respond to the threats and uncertain situations we face, we must accurately identify and ...

This paper aims to study the foundations of applied mathematics, using a formalized base theory for applied mathematics: ZFCAσ (Zermelo–Fraenkel set theory (with Choice) with atoms, where the ...

The new bachelor’s degree brings together essential elements of both mathematics and computing training and includes the ...

Mathematics plays a vital role in our understanding of the world. Our students gain thorough knowledge of mathematical theory and practice, as well as advanced problem-solving skills that can help our ...

Emily Riehl sees similarities between the viola, which she grew up playing, and the mathematical field of higher category theory, in which she is currently a leading participant. She thinks of the two ...

“This tattoo is the Zermelo-Fraenkel with Choice axioms of set theory. These nine axioms are the basis for ZFC set theory, which is the most commonly studied form of set theory and the most well known ...