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  • 仿射函数这名字好深奥，但概念其实非常简单，为什么要取这个名字？ - 知乎
    由于英文affine 这个词，早就翻译成了“仿射”，因此，affine transformation 就翻译成了“仿射变换”。“仿射函数”的说法，也就自然产生了。 至于affine被翻译成“仿射”，我猜这里用的是“类似射线那样”的意思。仿，就是类似，效法之意。
  • affine - 知乎
    知乎，中文互联网高质量的问答社区和创作者聚集的原创内容平台，于 2011 年 1 月正式上线，以「让人们更好的分享知识、经验和见解，找到自己的解答」为品牌使命。知乎凭借认真、专业、友善的社区氛围、独特的产品机制以及结构化和易获得的优质内容，聚集了中文互联网科技、商业、影视
  • Definition of an affine subspace - Mathematics Stack Exchange
    I am reading this introduction to Mechanics and the definition it gives (just after Proposition 1 1 2) for an affine subspace puzzles me
  • intuition - What is the affine space and what is it for? - Mathematics . . .
    For me affine spaces are useful mainly because of their affine transformations, that is of bijective transformations, preserving straight lines of the affine space Affine thansformations of $\Bbb R^n$ are less rigid than motions, because we don’t required to keep distances So, for instance, we can affinely transform a circle into an ellipse
  • What is the difference between affine and projective transformations . . .
    For affine maps: We can move any collection of three noncollinear points to any other collection of three points (which must be noncollinear if we want the map to be invertible) For projective maps: we can move any collection of four points (no three collinear) to any collection of four points
  • What is the difference between projective geometry and affine geometry . . .
    Affine geometry is like projective geometry with one line (the “distinguished line”) labeled “remove this to obtain an affine plane” In this sense, an affine space is a projective space with additional information
  • What is an Affine Span? - Mathematics Stack Exchange
    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 containing S, or equivalently, the intersection of all affine sets containing S " They give the definition that it is the set of all affine combinations of elements of S
  • Definition of an affine set - Mathematics Stack Exchange
    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 single point is affine) (Thanks to @McFry who caught a little sloppiness in my original answer )





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