At 25, Kurt Gödel proved there can never be a mathematical “theory of everything.” Columnist Natalie Wolchover explores the implications. In 1931, by turning logic on itself, Kurt Gödel proved a pair ...

Copyright: © 2018 The Author(s). Published by Elsevier Ltd.

Clinical trials of a treatment in traditional mass medicine are based on the concept of proof of efficacy. It must be proven for a group of subjects that meet certain selection criteria. Subject ...

In World War II’s most desperate months, the mathematician Alan Turing assembled a team of codebreakers to decrypt intercepted Nazi messages. He tested applicants with chess puzzles, hired a ...

Part IV: From Markov Chains to Simple Queues 8 Discrete-Time Markov Chains 8.1 Discrete-Time versus Continuous-Time Markov Chains 8.2 Definition of a DTMC 8.3 Examples of Finite-State DTMCs 8.3.1 ...

We propose a mechanism enabling the appearance of border cells—neurons firing at the boundaries of the navigated enclosures. The approach is based on the recent discovery of discrete complex analysis ...

Department of Earth Sciences, Royal Holloway University of London, Queens Building, Egham, Surrey TW20 0EX, U.K. STFC, Central Laser Facility, Research Complex at ...

Origami-inspired metamaterials utilize crease geometries, often based on symmetries, to generate deployable and reconfigurable structures with unusual properties such as negative Poisson’s ratios and ...

A powerful technique called SAT solving could work on the notorious Collatz conjecture. But it’s a long shot. But Heule, a computer scientist at Carnegie Mellon University, has set his sights on an ...