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 ...

In January I wrote a piece titled “ 5 Physics Equations Everyone Should Know .” Lots of you weighed in with your own nominations, and there were plenty of good suggestions. So I’ve decided to do a ...

Abstract: LaSalle’s invariance principle is a commonly used extension of Lyapunov’s second method to study asymptotic stability of nonlinear systems. If the system can be written in polynomial form, ...

Thriving in an exponential world requires more than a better strategy. It demands quantum thinking, the shift from linear logic to multidimensional leadership, where time is nonlinear, outcomes are ...

Cancellation, elimination, subtraction, removal, invalidation—these synonyms describe a core, pervasive principle in our current political moment.

Abstract: Often in applications like medical imaging, error correction, and sensor networks, one needs to solve large-scale linear systems in which a fraction of the ...

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 ...

Goal 2 is about creating a world free of hunger by 2030. The global issue of hunger and food insecurity has shown an alarming increase since 2015, a trend exacerbated by a combination of factors ...

When you have played the game, why not put your new skills to the test and download this fun activity sheet?

Ask the publishers to restore access to 500,000+ books. An icon used to represent a menu that can be toggled by interacting with this icon. A line drawing of the Internet Archive headquarters building ...