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Homothetic information


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Homothetic

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Look up homothetic or homothety in Wiktionary, the free dictionary. Homothetic may refer to: Homothetic transformation, also known as homothety, homothecy...

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Homothetic preferences

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In consumer theory, a consumer's preferences are called homothetic if they can be represented by a utility function which is homogeneous of degree 1.: 146 ...

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Homothetic center

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In geometry, a homothetic center (also called a center of similarity or a center of similitude) is a point from which at least two geometrically similar...

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Homothety

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image of every line g is a line parallel to g. In projective geometry, a homothetic transformation is a similarity transformation (i.e., fixes a given elliptic...

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Tangent lines to circles

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external homothetic center, whereas the internal tangent lines intersect at the internal homothetic center. Both the external and internal homothetic centers...

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Homothetic vector field

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In physics, a homothetic vector field (sometimes homothetic collineation or homothety) is a projective vector field which satisfies the condition: L X...

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Hadwiger conjecture

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geometry) that for any n-dimensional convex body, at most 2n smaller homothetic bodies are necessary to contain the original Hadwiger's conjecture on...

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Spacetime symmetries

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A homothetic vector field is one which satisfies: L X g = 2 c g . {\displaystyle {\mathcal {L}}_{X}g=2cg.} where c is a real constant. Homothetic vector...

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List of XML and HTML character entity references

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∺ ∺ U+223A HTML 5.0 geometric proportion ∻ ∻ U+223B HTML 5.0 homothetic ∼ ∼ ∼ ∼ ∼ U+223C HTML 4.0 HTML 5.0 HTML 5.0...

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Point reflection

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transformation. It is equivalent to a homothetic transformation with scale factor −1. The point of inversion is also called homothetic center. An object that is invariant...

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Division sign

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from U+2052 ⁒ COMMERCIAL MINUS SIGN U+002B + PLUS SIGN U+2020 † DAGGER U+034B ͋ COMBINING HOMOTHETIC ABOVE Related See also U+00D7 × MULTIPLICATION SIGN...

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Production function

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exactly exhausted and there will be no excess economic profit.: pp.412–414  Homothetic functions are functions whose marginal technical rate of substitution...

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List of Unicode characters

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Below U+034A    ͊ 842 Combining Not Tilde Above U+034B    ͋ 843 Combining Homothetic Above U+034C    ͌ 844 Combining Almost Equal To Above U+034D    ͍ 845...

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Enlargement

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In mathematics, an enlargement is a uniform scaling, an example of a Homothetic transformation that increases distances, areas and volumes. Enlargement...

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Orthocentric system

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orthocentric system is always homothetic to the original system of four points with the common nine-point center as the homothetic center and α the ratio of...

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Diacritic

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U+034A Not tilde Mn: Mark, nonspacing Inherited ◌͋ COMBINING HOMOTHETIC ABOVE U+034B Homothetic Mn: Mark, nonspacing Inherited ◌͌ COMBINING ALMOST EQUAL TO...

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Gorman polar form

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Gorman form. Particularly: linear, Leontief and Cobb-Douglas utilities are homothetic and thus have the Gorman form. To prove that the Engel curves of a function...

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Reduction compass

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is a geometry tool with asymmetric-length branches to allow performing homothetic transformations, reproducing a pattern while enlarging or reducing its...

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Returns to scale

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perfect competitor in all input markets) and the production function is homothetic, a firm experiencing constant returns will have constant long-run average...

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Generalized Ozaki cost function

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This stands in contrast to the standard production model, which assumes homothetic technology. For a given output y {\displaystyle y} , at time t {\displaystyle...

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Constant elasticity of substitution

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discussed by Armington (1969). CES utility functions are a special case of homothetic preferences. The following is an example of a CES utility function for...

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Rectangle

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convex body C in the plane, we can inscribe a rectangle r in C such that a homothetic copy R of r is circumscribed about C and the positive homothety ratio...

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Projective vector field

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L X C a b c d = 0 {\displaystyle {\mathcal {L}}_{X}C^{a}{}_{bcd}=0} Homothetic vector fields (homotheties) preserve the metric up to a constant factor...

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Economies of scale

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1016/j.ejor.2013.01.012. Zelenyuk, V. (2014). "Scale efficiency and homotheticity: equivalence of primal and dual measures". Journal of Productivity Analysis...

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Tangential triangle

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the reference triangle).: p. 447 : p. 102  The tangential triangle is homothetic to the orthic triangle.: p. 98  A reference triangle and its tangential...

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Nasalization

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anterior nasal fricatives, the velopharyngeal port is open.) A superimposed homothetic sign that resembles a colon divided by a tilde is used for this in the...

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