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 …

May 20, 2015 · I would simply define a linear function as always having the same slope (and, more technically, it must be continuous). Clearly, the absolute value function has a negative …

Jul 30, 2019 · Such a function may also be called a linear map. Note that this is different from the middle school definition of a linear function in two very important ways: first, the definition …

Oct 30, 2017 · It depends on how you define "a linear function" The graph is a horizontal line. Often times, books describe linear functions as polynomials of degree 1, which would require a …

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 …

A linear equation (in a particular set of variables) is an equation where each individual term is either constant or is a linear function of one of the variables.

Sep 8, 2011 · I think linear refers to the fact that vector spaces are not curved. For instance, the wikipedia page for linear spaces gets redirected to the page on vector spaces. So does the …

May 16, 2020 · This definition works for linear functions but I was asking more about the specific term "linear" and how you would approach it regardless of what comes after the word linear, …

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 …

Question 1090014: The height (in centimeters) of a candle is a linear function of the amount of time in hours it has been burning when graphed, the function gives a line with a slope of -0.6 …