# 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.
References in periodicals archive ?
A fractal is a geometric object with internal homothetic, which it repeats his shape in its same form on different scales.
It was hypothesized that trade partners had identical homothetic preference, which was the structure of traded goods.
In his view, the First Amendment creates a "homothetic situation alongside the development of democracy." He adds, "If, in the religious sphere, every individual is completely free, then democracy is possible" (p.
The fact that it enters with a coefficient of 1 reflects the fact that preferences are homothetic, so that an increase in aggregate labor increases the output of each good proportionately.
In 0 every variable in one group is completely uncorrelated with every variable in the other group(s), and in 1 the two groups are completely homothetic (Borcard, Guillet & Legendre, 2011; Pages, 2015).
Xiao, "Homothetic variant of fractional Sobolev space with application to Navier-Stokes system," Dynamics of Partial Differential Equations, vol.
In the following, we consider scaled microgeometries deduced from the reference microgeometry (presented in Figure 5) by a homothetic factor [S.sub.c] in the vertical direction and also in the horizontal direction (Figure 6).
In particular, if [rho] is constant then V is called homothetic and if [rho] = 0 then V is called isometric as well as killing vector field.
The dose was adjusted according to the patient's age using three homothetic dosage strengths (AS 25mg/AQ 67.5 mg one tablet/day for 2-11 months; AS 50 mg/AQ 135 mg one tablet/day for 1-5 years; AS 100 mg/AQ 270 mg one tablet/day for 6-13 years and two tablets/day for [greater than or equal to] 14 years).

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