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 ...

' Immersive Math ' is a free textbook site that makes linear algebra, a field of mathematics that studies calculations such as vectors and matrices, easier to understand by providing interactive ...

Meet PhotoMath, an iPhone and Android app that solves math problems photographed with your smartphone’s camera. Simply flip open the app, scan the problem as it appears in the textbook, and the app ...

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..