How to check the linearity of a function? Ask Question Asked 11 years, 6 months ago Modified 11 years, 6 months ago

The linearity of the fourier transform means that if you take the transform of a sum of functions, it is the same as the sum of the fourier transforms of the functions, and the same holds for real multiples of …

Linearity of the directional derivative Ask Question Asked 7 years, 10 months ago Modified 1 year, 11 months ago

I don't think anyone (or any book) suggests that "local linearity" is a replacement for "differentiability"; it seems to be used as an informal description of the behavior of a differentiable function (see, in …

For linearity of expectation, the proof will depend on how you have defined expectation. But it should be one of the first facts about expectation proved in any textbook on probability theory, and usually …

linearity of determinant Ask Question Asked 9 years ago Modified 3 years, 8 months ago

Apr 26, 2022 · You have learned that the derivative of a sum is the sum of the derivatives and that the derivative of a constant times a function is that constant times the derivative of the function. That is …

What does bilinear really mean? Everytime I heard the word, I think it should be "linear in 2 ways?" For example, from the definition of inner product (taken from Appendix A of "Wavelets For Comp...

How do you tell whether a differential equation is nonlinear or linear. And how do you determine the order and whether it is homogeneous? I'm trying to understand by reading my textbook, but I'm qu...

Sep 11, 2015 · If it's a real inner product, then it's symmetric, i.e. $\langle x,y\rangle = \langle y, x\rangle$, so linearity in one argument implies linearity in the other; hence keeping the list of axioms …