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affine transformation
(redirected from Affine function)

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ThesaurusLegend:  Synonyms Related Words Antonyms
Noun1.affine transformation - (mathematics) a transformation that is a combination of single transformations such as translation or rotation or reflection on an axisaffine transformation - (mathematics) a transformation that is a combination of single transformations such as translation or rotation or reflection on an axis
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
transformation - (mathematics) a function that changes the position or direction of the axes of a coordinate system


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22] For example, when T [member of] [50s, 100s], the parameters of these affine functions are as follows: [[xi].
They cover cones, cones in topological vector spaces, Yudin and pull-back cones, Krein operators, K-lattices, order extensions, piecewise affine functions and in a fascinating appendix, linear topologies.
In the case where the function h is an affine function, we can obtain more definite result about total effort level: For [Sigma] [is less than or equal to] 2, total effort level is always increasing in the valuation parameter [Alpha]; for [Sigma] [is greater than] 2, total effort level is increasing in [Alpha] until [Alpha] reaches 1/([Sigma] - 2) and then is decreasing in [Alpha].
 
 
 
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