homothety

名词 n.
中文释义

英文释义

名词 n.
  1. An isotropic scaling transformation of an affine space with a single fixed point.
    — The product of two homotheties with the same centre is a homothety with that centre.
  2. A homomorphism from a module M over a ring A to itself of the form ν:x↦ax for some fixed a∈A (especially when M=A; a is said to be the ratio of the homothety, by analogy with the geometric case).

词形变化

homotheties plural

词汇关系

衍生词
roto-homothety
相关词
homothetic

词源

From Ancient Greek ὁμο- (homo-, “same”) + θέσις (thésis, “setting, placement, arrangement”).
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