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She is also seen projectively playing a CD by holding it to her head through some unknown means.
In 8 dimensions there is, projectively, a single pure spinor constraint.
"That is precisely why you apply the revenues projectively," Wiz assured him.
Taken projectively, this defines a circle.
The affinely extended real number system should be distinguished from the projectively extended real numbers which has only one infinity, rather than two.
The variety V in its projective embedding is projectively normal if R is integrally closed.
This explains why Ext-groups of R-modules can be computed by either resolving the source projectively or the target injectively.
More precisely, the hexagons and are projectively equivalent, where is the labeled hexagon obtained from by shifting the labels by 3.
Not only ellipses but also parabolas and hyperbolas turn into circles under appropriate projective transformations; they all are projectively equivalent figures.
Rather they are projectively parametrized, meaning that their preferred class of parameterizations is acted upon by the group of fractional linear transformations.
The Poincaré disk model, as well as the Klein model, are related to the hyperboloid model projectively.
All 'points' and 'lines' (projectively, lines and planes) become related simply as 'pole and polar', their correspondences being determined by a 'null circle'.
The problem of deciding whether two convex polytopes given by either the V-description or H-description are projectively or affinely isomorphic.
Any point inside a projective range may be projectively mapped to any another point inside (the same or some else) projective range.
Further, they are interchanged by the three maps - they are reciprocals, symmetric about , and (projectively) symmetric about 2.
An important example of an ovoid in any finite projective three-dimensional space are the points of an elliptic quadric (all of which are projectively equivalent).
For this to work, we should consider the curve projectively and require F to be algebraically closed, so that all the singularities which belong to the curve are considered.
Curves which are projectively equivalent have the same type, though curves of the same type are not, in general, projectively equivalent.
Due to Segre's theorem , every oval in PG(2, q) with q odd, is projectively equivalent to a nonsingular conic in the plane.
During drafting, there was a proposal for the standard to incorporate the projectively extended real number system, with a single unsigned infinity, by providing programmers with a mode selection option.
A second order Fuchsian equation with n singular points has a group of symmetries acting (projectively) on its solutions, isomorphic to the Coxeter group D of order 2xn!
My emphasis has to do with African-American financial need - in my opinion, the primary problem at the base of the African-American dilemma in this era and projectively in the indefinite future.
The ovals obtained by removing a point from a hyperoval are projectively equivalent if and only if the removed points are in the same orbit of the automorphism group of the hyperoval.
If that motion is projectively consistent with binocular disparity, the viewer will perceive - via stereopsis - the illusion that the glint occurs at a different depth than the surface that produces it.
In real analysis, the real projective line (also called the one-point compactification of the real line, or the projectively extended real numbers), is the set , also denoted by and by .