Collineation


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Related to Collineation: Homography, projective geometry
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Blichfeldt, Finite collineation groups, with an introduction to the theory of groups of operators and substitution groups, Univ.
Collineation of affine plane A called a bijection [psi] [member of] S, such that
However, the rotation angle of segment as is not the real value in degree; it is a direction with the values of <1, 0, and >1, standing for turning left, collineation, and turning right, respectively.
Now, a projective tensor can be considered as a set of numbers ([v.sup.1], [v.sup.2], ..., [v.sup.r]) brought into coincidence with another set of numbers ([v'.sup.1], [v'.sup.2], ..., [v'.sup.r]) by a linear transformation [S.sub.o] corresponding to an homography Ho preserving the origin o ([H.sub.o] is then a central collineation of center o) of a given "underlying" Euclidean space [R.sup.k].
An (n + 1)-dimensional semi-Riemannian manifold ([bar.M],[bar.g]) admits a conformal collineation symmetry defined by a vector field V if
PCR is utilized to solve the problem of collineation. The information plays an important role in the data set based on the cumulative percent variance (CPV).
The fact that affinity is collineation which preserves the infinite line is essentially used in the sequel.
Any such bijection is called a collineation of [PI] to [PI]'.
This area is between the line of the optimum value and the tangent from the origin (pole of collineation) (which is the intersection of the line of the optimum and the regression line of the onset of sweating) to the area of beginning of shivering (see Figure 8).
A wide variety of geometrical topics are suitable for this kind of presentation: true size of plane figures, generating slide --and screw-surfaces and even more abstract terms like affinity and collineation can be explained that way.
They include details on the affects of the collineation group and group theoretic conditions.