Apr 30, 2014 · 1 You know that a linear function satisfies the following property: $$f (a+b)=f (a)+f (b)$$ and you want to determine whether a particular function $g$ is linear, so you just check …

Jun 8, 2023 · A linear function fixes the origin, whereas an affine function need not do so. An affine function is the composition of a linear function with a translation, so while the linear part …

A linear function (or functional) gives you a scalar value from some field $\mathbb {F}$. On the other hand a linear map (or transformation or operator) gives you another vector. So a linear …

A "linear" function usually means one who's graph is a straight line, or that involves no powers higher than 1. That isn't the definition of linear, and doesn't really make sense in the context of …

Mar 29, 2021 · How to prove that any linear function which is defined on a convex subset of $\\mathbb{R}^n$ attains its maximum always at one of the extreme points of the set? Thank …

Mar 15, 2018 · You can then use this definition to show that some function is linear. Let's also take a step back to when you probably recently learned about dimensions of a vector space = …

Sep 3, 2016 · However, what is traditionally called a linear function, in non-abstract algebra (or highschool algebra, or whatever it is formally called), namely: f (x) = a + bx is not a linear …

Feb 7, 2015 · That's why I emphasized the distinction between a linear function in the context of calculus, and in the context of linear algebra and functional analysis. Although I do agree that …

Linear function, that is not continuous? Ask Question Asked 7 years, 4 months ago Modified 2 years, 11 months ago

Dec 18, 2013 · I was wondering if linear function is convex or concave? For example f(x)=x, is function whose second derivate is 0 so we cant tell anything using this criteria. Can someone …