Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal model—and what that could mean for mathematics. Reading time 10 minutes Will ...

James Chen, CMT is an expert trader, investment adviser, and global market strategist. Khadija Khartit is a strategy, investment, and funding expert, and an educator of fintech and strategic finance ...

Investopedia contributors come from a range of backgrounds, and over 25 years there have been thousands of expert writers and editors who have contributed. Dr. JeFreda R. Brown is a financial ...

Predicting how complex stochastic systems respond to small external perturbations is central in physics, climate science, and engineering. We combine the generalized fluctuation–dissipation theorem ...

in this video we'll look at an application of the probabilistic method to extremal set theory extremal set theory is an area of combinatorics concerned with questions such as what is the largest ...

Abstract: We propose approaches regarding observer designs for nonlinear systems represented by Takagi-Sugeno fuzzy model in the case that premise variables are unmeasurable. In the framework of ...

You might be surprised to learn that you can’t comb the hairs flat on a coconut without creating a cowlick. Perhaps even more surprising, this silly claim with an even sillier name, the “hairy ball ...

Convolution has a significant impact on many scientific disciplines, ranging from probability theory and harmonic analysis to information theory. Here, we introduce a framework to study quantum ...

There’s been much debate about lateral flow tests – their accuracy depends on context and the theories of a 18th-century cleric Maths quiz. If you get a positive result on a Covid test that only gives ...

Abstract: In this article, the finite-time adaptive fuzzy state-feedback tracking control problem for the pure-feedback system with full state constraints is studied. In order to transform the ...

The aim of science is to establish facts, as accurately as possible. It is therefore crucially important to determine whether an observed phenomenon is real, or whether it’s the result of pure chance.