What is the difference between linear and affine function?
Jun 8, 2023 · An affine function is the composition of a linear function with a translation, so while the linear part fixes the origin, the translation can map it somewhere else.
intuition - What is the affine space and what is it for?
It may be more fruitful to compare groups of transformations. Speaking of groups acting on a Cartesian space, with the analogous questions in parentheses: orthogonal transformations …
仿射函数这名字好深奥，但概念其实非常简单，为什么要取这个名 …
我整理一下我查到的资料： “仿射”这个词，翻译自英语affine，为什么会翻译出这两个字，我没查到。 英语affine，来自于英语affinity。英语词根fin来自于拉丁语finis，表示“边界，末端”，例 …
What is an Affine Span? - Mathematics Stack Exchange
Sep 11, 2021 · According to this definition of affine spans from wikipedia, "In mathematics, the affine hull or affine span of a set S in Euclidean space Rn is the smallest affine set …
affine geometry - What does it mean to be "affinely independent", …
May 2, 2017 · Roughly speaking, affine independence is like linear independence but without the restriction that the subset of lower dimension the points lie in contains the origin. So three …
Definition of an affine set - Mathematics Stack Exchange
Apr 14, 2017 · 10 Note that the second definition is a generalisation of the first. A set is affine iff it contains all lines through any two points in the set (hence, as a trivial case, a set containing a …
convex analysis - Are affineness and convexity equivalent ...
In reading about convex optimization, the author states that all convex sets are affine. Are affineness and convexity equivalent? If I understand, both definitions incorporate the notion …
what is the difference between linear transformation and affine ...
Recently, I am struglling with the difference between linear transformation and affine transformation. Are they the same ? I found an interesting question on the difference between …
Understanding affine subsets - Mathematics Stack Exchange
Understanding affine subsets Ask Question Asked 8 years, 7 months ago Modified 8 years, 7 months ago
What are differences between affine space and vector space?
An Affine space abstracts the affine combinations. You can think of an affine combination as a weighted average, or a convex hull (if you limit the coefficients to be between 0 and 1).