an affine combination is also called
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This concept is fundamental in Euclidean geometry and affine geometry, as the set of all affine combinations of a set of points form the smallest subspace containing the points, exactly as the linear combinations of a set of vectors form their linear span. ...
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Affine combination
In mathematics, an affine combination of vectors x1, ..., xn is a vector called a linear combination of x1, ..., xn, in which the sum of the coefficients is 1, thus: Here the vectors are elements of a given vector space V over a field K, and the coefficients are scalars in K.
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