仿射函数基于一阶多项式构建，通常表示为 f (x) = A x + b。其中，A 为 m×k 矩阵，x 为 k 维向量，b 是 m 维向量。仿射函数实际上描绘了一种从 k 维空间映射到 m 维空间的关系。假设 f 是一个向量函数，若能表示为 f(x1,x2,…,xn)=A1x1+A2x2+…+Anxn+b，其中 Ai 可以为...
是个数学术语：仿射函数
Note 这是对MIT Foundation of 3D Computer Graphics附录B的翻译,本附录讲解了2D/3D仿射函数的基础知识。本书内容仍在不断的学习中,...
affine transformation (redirected fromAffine function) Thesaurus Encyclopedia Related to Affine function:affine transformation ThesaurusAntonymsRelated WordsSynonymsLegend: Switch tonew thesaurus Noun1. affine transformation- (mathematics) a transformation that is a combination of single transformations such as tr...
只要函数 是下列形式，我们就将函数 作为变量 和 的仿射函数 这个函数拥有常量 和 。这个表达也可以被记作 这样一种函数经常被称作“线性”，因为包含额外的附加常量项( )，我们因而使用术语仿射(affine)。相同的项-仿射(affine)-被用于第三章的仿射变换，因为那些变换允许额外的常量项...
Affine Function Examples The familiar equation y = mx + b is usually calledlinear, but should more correctly be calledaffine(Boyd, 2007). In fact,everylinear functionis affine.. That’s because the translation (the + b) might be theidentity function(one thatmapsthe function to itself). ...
We show how to achieve public-key encryption schemes that can securely encrypt nonlinear functions of their own secret key. Specifically, we show that for any constant d ∈ N, there exists a public-key encryption scheme that can securely encrypt any function f of its own secret key,...
It is shown that if the processes $B$ and $f(B)$ are both Brownian motions (without a random time change) then $f$ must be an affine function. As a by-product of the proof, it is shown that the only functions which are solutions to both the Laplace equation and the eikonal equati...
We show how to achieve public-key encryption schemes that can securely encrypt nonlinear functions of their own secret key. Specifically, we show that for any constant d ε N, there exists a public-key encryption scheme that can securely encrypt any function f of its own secret key, assuming...
Such Ω is a graph of a Borel function f Ω almost surely and is called a self-affine set of α-function type. We obtain the Hausdorff dimension of the level set Ω y = { x ; ( x , y ) ∈Ω } in the case that λ ∘ f Ω − 1 has a bounded density with respect to ...