What does affine hull mean?

Definitions for affine hull
affine hull

This dictionary definitions page includes all the possible meanings, example usage and translations of the word affine hull.


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Wikipedia

  1. Affine hull

    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. Here, an affine set may be defined as the translation of a vector subspace. The affine hull aff(S) of S is the set of all affine combinations of elements of S, that is, aff ⁡ ( S ) = { ∑ i = 1 k α i x i | k > 0 , x i ∈ S , α i ∈ R , ∑ i = 1 k α i = 1 } . {\displaystyle \operatorname {aff} (S)=\left\{\sum _{i=1}^{k}\alpha _{i}x_{i}\,{\Bigg |}\,k>0,\,x_{i}\in S,\,\alpha _{i}\in \mathbb {R} ,\,\sum _{i=1}^{k}\alpha _{i}=1\right\}.}

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Numerology

  1. Chaldean Numerology

    The numerical value of affine hull in Chaldean Numerology is: 9

  2. Pythagorean Numerology

    The numerical value of affine hull in Pythagorean Numerology is: 4

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"affine hull." Definitions.net. STANDS4 LLC, 2024. Web. 28 Apr. 2024. <https://www.definitions.net/definition/affine+hull>.

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