English look at AI and the way its text generation works. Covering word generation and tokenization through probability scores, to help ...

Around a fifth of solar panels examined in a new study fail much faster than expected and some may last for only half their ...

Interest Rate Probability Distributions Implied by Derivatives Prices is a daily measure of the distribution of future short-term interest rates, calculated from prices of fixed-income derivatives ...

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 ...

A variation of a puzzle called the “pick-up sticks problem” asks the following question: If I have some number of sticks with random lengths between 0 and 1, what are the chances that no three of ...

Word problems try and tell students a story about the math problem in front of them. They are a useful way to connect abstract numbers to concrete situations, so students can learn early on to apply ...

Working memory is like a mental chalkboard we use to store temporary information while executing other tasks. Scientists worked with more than 200 elementary students to test their working memory, ...

Tabletop games, from the roll of a die in a fantasy role-playing game (RPG) to the strategic placement of cards in a complex board game, are deeply rooted in probability. The comprehension of the ...

This methodological article aims to present the type I Pareto distribution in a clear and illustrative manner for better understanding among social researchers. It also provides R scripts for ...

Students often struggle to connect math with the real world. Word problems—a combination of words, numbers, and mathematical operations—can be a perfect vehicle to take abstract numbers off the page.