Umbrella or sun cap? Buy or sell stocks? When it comes to questions like these, many people today rely on AI-supported recommendations. Chatbots such as ChatGPT, AI-driven weather forecasts, and ...

The problem is efficiency. Maxwell's equations are completely linear, so nonlinear optics relies entirely on materials with nonlinear response to optical fields. Unfortunately these responses deviate ...

“Mathematics is the art of reducing any problem to linear algebra.” This is a quote often attributed to William Stein, a former mathematics professor at the University of Washington, now the lead ...

Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations, and systems of linear differential equations. Prereq., APPM 1360 ...

How is that doubling and not squaring? Is that a domain-specific use of the word doubling that's different from the everyday one? Normally "doubling" would be the function f(x) = 2x. Click to expand..