projective homothety - определение. Что такое projective homothety
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Что (кто) такое projective homothety - определение

SYMMETRY IN PROJECTIVE GEOMETRY
Projective dual; Projective duality; Dual projective plane; Dual projective space; Polarity (projective geometry)
  • Dual configurations
  • Three pairs of dual points and lines: one red pair, one yellow pair, and one blue pair.
  • Pole and polar with respect to circle ''C''. ''P'' and ''Q'' are inverse points, ''p'' is the polar of ''P'', ''P'' is the pole of ''p''.

Projective variety         
  • An [[elliptic curve]] is a smooth projective curve of genus one.
ALGEBRAIC VARIETY DEFINED WITHIN A PROJECTIVE SPACE
Projective varieties; Projective algebraic variety; Projective curve; Projective surface; Projective scheme; Projective subscheme; Projective algebraic varieties; Projective embedding; Serre vanishing; Projective completion; Projection from a point; Complex projective varieties; Complex projective variety
In algebraic geometry, a projective variety over an algebraically closed field k is a subset of some projective n-space \mathbb{P}^n over k that is the zero-locus of some finite family of homogeneous polynomials of n + 1 variables with coefficients in k, that generate a prime ideal, the defining ideal of the variety. Equivalently, an algebraic variety is projective if it can be embedded as a Zariski closed subvariety of \mathbb{P}^n.
Projective test         
TYPE OF PERSONALITY TEST DESIGNED TO LET A PERSON RESPOND TO AMBIGUOUS STIMULI, PRESUMABLY REVEALING HIDDEN EMOTIONS AND INTERNAL CONFLICTS PROJECTED BY THE PERSON INTO THE TEST
Projective tests; Projective techniques; Projective technique; Projective personality test; Projection test
In psychology, a projective test is a personality test designed to let a person respond to ambiguous stimuli, presumably revealing hidden emotions and internal conflicts projected by the person into the test. This is sometimes contrasted with a so-called "objective test" / "self-report test", which adopt a "structured" approach as responses are analyzed according to a presumed universal standard (for example, a multiple choice exam), and are limited to the content of the test.
Projective hierarchy         
IN DESCRIPTIVE SET THEORY, A SUBSET OF A POLISH SPACE CONSTRUCTIBLE BY TAKING COMPLEMENTS AND PROJECTIONS OF AN ANALYTIC SET
Projective set
In the mathematical field of descriptive set theory, a subset A of a Polish space X is projective if it is \boldsymbol{\Sigma}^1_n for some positive integer n. Here A is

Википедия

Duality (projective geometry)

In geometry, a striking feature of projective planes is the symmetry of the roles played by points and lines in the definitions and theorems, and (plane) duality is the formalization of this concept. There are two approaches to the subject of duality, one through language (§ Principle of duality) and the other a more functional approach through special mappings. These are completely equivalent and either treatment has as its starting point the axiomatic version of the geometries under consideration. In the functional approach there is a map between related geometries that is called a duality. Such a map can be constructed in many ways. The concept of plane duality readily extends to space duality and beyond that to duality in any finite-dimensional projective geometry.