Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...

Researchers from the Institute of Cosmos Sciences of the University of Barcelona (ICCUB) have developed a new framework based on machine learning ...

The Leidenfrost effect is known for droplets dancing on hot pans, but its inverse is even stranger. This documentary explores ...

Axiom Math, which has recruited top talent from Meta, has raised $64 million in seed funding to build an AI math whiz.

Natural selection uses duplicated genes as raw material for functional innovation, co-opting their existing features to new functions. Understanding genetic innovation requires two questions to be ...

This is an interesting question that touches on the different meanings of the same word in strict mathematical definitions ...

Abstract: We have already proposed the inverse function delayed (ID) model as a novel neuron model. The ID model has a negative resistance similar to Bonhoeffer-van der Pol (BVP) model and the network ...

Sep. 28, 2025 — Diraq has shown that its silicon-based quantum chips can maintain world-class accuracy even when mass-produced in semiconductor foundries. Achieving over 99% fidelity in two-qubit ...

Abstract: In this paper, we consider a dynamical system whose trajectory is a result of minimizing a multiphase cost function. The multiphase cost function is assumed to be a weighted sum of specified ...

Scientists are making new discoveries every day, but many of them fall under the radar. Some of these findings are life-changing, while others expand our knowledge of the world around us. Here are ...

A pronoun takes the place of a noun close nounA noun is the name of a thing, such as an object, a place, or a person. in a sentence. Pronouns are short words like 'it', 'she', 'he', 'you', 'we', 'they ...

You can define macros and ⚠ MANUALLY update by executing umath.preview.reloadMacros (Ultra Math Preview: Reload Macros). "Automatically updating macros" has been disabled, because it can affect ...