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projective
projective, a. (prəʊˈdʒɛktɪv) [f. L. ppl. stem prōject- (see project v.) + -ive. So F. projectif.] † 1. Having the faculty of projecting; scheming.1632 Brome Court Beggar ii. Wks. 1873 I. 214 They have all projective braines I tell you. Men. Pray of what nature are your Projects Gentlemen? 2. Geom.,... Oxford English Dictionary
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Projective
Projective may refer to Mathematics Projective geometry Projective space Projective plane Projective variety Projective linear group Projective module Projective line Projective object Projective transformation Projective hierarchy Projective connection Projective Hilbert space Projective morphism Projective wikipedia.org
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Universal covering space of the real projective line? Announcing the ...
In musical terms, what properties are varied by the human voice to produce different words / syllables? The Nth Gryphon Number How does ...
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Projective object
In category theory, the notion of a projective object generalizes the notion of a projective module. Properties The coproduct of two projective objects is projective. The retract of a projective object is projective. wikipedia.org
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Projective polyhedron
In geometry, a (globally) projective polyhedron is a tessellation of the real projective plane. Projective polyhedra are also referred to as elliptic tessellations or elliptic tilings, referring to the projective plane as (projective) elliptic geometry wikipedia.org
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Projective cone
A projective cone (or just cone) in projective geometry is the union of all lines that intersect a projective subspace R (the apex of the cone) and an Definition Let X be a projective space over some field K, and R, S be disjoint subspaces of X. Let A be an arbitrary subset of S. wikipedia.org
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Projective bundle
In mathematics, a projective bundle is a fiber bundle whose fibers are projective spaces. The projective bundle of a vector bundle Every vector bundle over a variety X gives a projective bundle by taking the projective spaces of the fibers, wikipedia.org
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Projective superspace
In supersymmetry, a theory of particle physics, projective superspace is one way of dealing with supersymmetric theories, i.e. with 8 real SUSY generators wikipedia.org
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An Elementary Proof of the Fundamental Theorem of Projective Geometry ...
The following version of the fundamental theorem is proved: Let V, W be vector spaces and g: P(V)\E → P(W) a morphism between the associated projective spaces. If the image of g is not contained in a line, then there exists a semilinear map f: V → W which induces g. The difficulty lies in the fact that the homomorphism of division rings associated to the map f can be nonsurjective.
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Projective geometry
See projective plane for the basics of projective geometry in two dimensions. of projective varieties) and projective differential geometry (the study of differential invariants of the projective transformations). wikipedia.org
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Projective module
projective modules: Direct sums and direct summands of projective modules are projective. projective. wikipedia.org
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Automorphisms of The Projective Quaternion Unimodular Group of Two ...
Let K be the skew field of rational quaternions. Let R={(a+bi+cj+dk)/2|a, b, c, d∈Z and have the same parity}, where Z denotes the ring of rational integers. R is a sabring of K and K is the quotient skew field of R. R is usually called the ring of quaternion integers.Let E denote the subgroup of GL_2(R) generated by all elements of the from (?) and(?)(s, t∈R). Denote the factor groups of ...
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为什么有的人喜欢半英文半中文讲话？
Ultrastrong topology、Weak* topology：超强拓扑、弱星拓扑 Compact self-adjoint operator：紧致自伴算子 Recurrence theorem：始态复现定理 Maximal ideal：极大理想 Annihilator：零化子、湮灭子 Quasi-projective zhihu
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Projective cover
A projective cover is a pair (P,p), with P a projective object in and p a superfluous epimorphism in Hom(P, X). Hence, projective modules always have projective covers. If J(R)=0, then a module M has a projective cover if and only if M is already projective. wikipedia.org
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Projective connection
The structure of a projective connection is modeled on the geometry of projective space, rather than the affine space corresponding to an affine connection In the projective setting, the underlying manifold of the homogeneous space is the projective space RPn which we shall represent by homogeneous coordinates wikipedia.org
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