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How to pronounce “homothety”
Hear “homothety” in real YouTube speech, then study definitions and example sentence snippets.
Pronunciation guide for homothety
- Learning goal
- Practice the English pronunciation of homothety with real speech in context.
- Available examples
- 0 YouTube examples
- Definition summary
- (mathematics, geometry) An isotropic scaling transformation of an affine space with a single fixed point.
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A Deep Dive Into “homothety”
Meaning
- [Noun]
- (mathematics, geometry) An isotropic scaling transformation of an affine space with a single fixed point.
- (commutative algebra, Bourbakist) A homomorphism from a module
- M
- {\displaystyle M}
- over a ring
- A
- {\displaystyle A}
- to itself of the form
- ν
- :
- x
- ↦
- a
- x
- {\displaystyle \nu :x\mapsto ax}
- for some fixed
- a
- ∈
- A
- {\displaystyle a\in A}
- (especially when
- M
- =
- A
- {\displaystyle M=A}
- ;
- a
- {\displaystyle a}
- is said to be the ratio of the homothety, by analogy with the geometric case).
Practice Nearby Words
homography, orthomorphism, autometry, isotopy, rotation, homology, autohomeomorphism, affine transformation, isometry, affinity, similarity, automorphism, rototranslation, quasisymmetry, homaloid, homoeoid, quasiisometry, homomesy, homeomorphism, isogonality, symplectomorphism, monomorphism, isometric space, homotopy, symmetry group, equiaffinity, collineation, euclidean group, isography, homomorphism, point group, self-homeomorphism, orthotope, homogeneous coordinate, homotopy theory, homeomorphy, autotransformation, antihomomorphism, conformal geometry, transformation, subsymmetry, endomorphism, trope, transvection, self-affinity, homeoid, antisymmetrization, gyroautomorphism, isoclinism, conformal mapping, translation, orthogon, biholomorphism, isotopism, orthogonality, shear, isomorphism, homogenous function, isochrone, orthonormalization, holomorphism, anholonomy, hypersymmetry, comorphism, hyperhomology, affine group, simplex, isogon, homogeneous space, coordinate system, contactomorphism, symmetrification, affinization, holomorphicity, autoequivalence, holomorphy, ring homomorphism, geometrization, absolute geometry, automorphy, isogeny, topological property, cohomology, symmetrizer, orthogonalization, cotranslation, otopy, monotony, monodromy, macrogeometry, geometry, affine geometry, harmonizant, deformation retract, homogeneous function, icosian, symmetric group, factor space, antisymmetrizer, isochron
Similar Sounds
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