The p-manifold for such distributions is not affine, but the log p manifold is.
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There is a sample space of lines, one on which the affine group of the plane acts.
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Shifting it by a vector external to it, one obtains an n-dimensional affine space.
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Its objective function is a real-valued affine function defined on this polyhedron.
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More precisely, an affine space is a set with a free transitive vector space action.
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The affine varieties is a subcategory of the category of the algebraic sets.
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In fact, all triangles are related to one another by affine transformations.
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Early successful implementations were based on affine scaling variants of the method.
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In affine geometry there is no metric structure but the parallel postulate does hold.
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More examples
(anthropology) kin by marriage
(mathematics) of or pertaining to the geometry of affine transformations
(affined) closely related; "syllable to blessed syllable affined"- Wallace Stevens
(Affining) Refining (also called affining) is the process of purification of a (1) substance or a (2) form. The term is usually used of a natural resource that is almost in a usable form, but which is more useful in its pure form. ...
A relative by marriage; To refine; Assigning finite values to finite quantities; Describing a function expressible as (which is not linear, but is similar); Of or pertaining to a transformation that maps parallel lines to parallel lines and finite points to finite points; Having mutual ...
(affinely) In an affine manner
(affines) Two or more in-laws; parents-in-law, siblings-in-law, and other relatives by mariage; may refer to groups related to one another by marriage
(affined) (39) [Obsolete] under obligation; bound.
A resolvable design is affine (or affine resolvable) if the number of points common to two blocks in different classes of the resolution is constant. The points and hyperplanes of an affine space form an example.