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homothetic transformation

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homothetic transformation

[¦häm·ə‚thed·ik ‚tranz·fər′mā·shən]
(mathematics)
A transformation that leaves the origin of coordinates fixed and multiplies the distance between any two points by the same fixed constant. Also known as transformation of similitude.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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References in periodicals archive
For the second LSF approach, SQ indicator values were transformed to a common range between 0.1 and 1.0 using homothetic transformation equations (1) and (2) [38].
This LSF approach is therefore described as the "homothetic transformation method" (IIL).
An unscreened-SQI using the PCA and EO selected minimum datasets showed the highest SQI values for the [II.sup.L] (homothetic transformation method) and [I.sup.N] (CurveExpert method of NLSF) models used to compare the eight LUSMS (Tables 5 and 6).
Soil quality assessment strategies for evaluating soil degradation in Northern Ethiopia
So in general other foliums can be obtained from Figure 1 by homothetic transformations.
Descartes' and Hessian Foliums
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