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 calling …

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 slope for …

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 whether this …

Dec 14, 2018 · What you write is an affine function. A linear function can be expressed by a matrix.

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 fixes the …

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 applies to …

Jul 11, 2015 · 20 Why would you think those are the only functions possible? If we consider discrete functions rather than only explicit, algebraically defined, functions, then it's easy to come up with …

Linear algebra deals with the study of linear systems. A "linear system" is a system of lines. So yes, when applying matrices, a linear system is involved. That being said, there are typically ways to …

Apr 21, 2025 · This is now the top result for the Google search 'maximize minimum of linear functions'. It's feels a bit condescending to read that one should search carefully before trying to find an answer …

Oct 28, 2017 · Smooth transition between linear functions Ask Question Asked 8 years, 1 month ago Modified 10 months ago