Results 21 to 30 of about 651,446 (197)
Decoding of Projective Reed-Muller Codes by Dividing a Projective Space into Affine Spaces
, 2015 A projective Reed-Muller (PRM) code, obtained by modifying a (classical) Reed-Muller code with respect to a projective space, is a doubly extended Reed-Solomon code when the dimension of the related projective space is equal to 1.
Matsui, Hajime, Nakashima, Norihiro
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Accounts of Chemical Research, 2015 One of the simplest questions that can be asked about molecular diversity is how many organic molecules are possible in total? To answer this question, my research group has computationally enumerated all possible organic molecules up to a certain size to gain an unbiased insight into the entire chemical space. Our latest database, GDB-17, contains 166.
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Projective product spaces [PDF]
Journal of Topology, 2010 One theorem, which originally asserted homotopy equivalence, has been improved to now assert ...
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Projections of a learning space. [PDF]
, 2013 Any subset Q' of the domain Q of a learning space defines a projection of that learning space on Q' which is itself a learning space consistent with the original one. Moreover, such a construction defines a partition of Q having each of its classes defining a learning space also consistent with the original learning space.
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Categories of projective spaces
Journal of Pure and Applied Algebra, 1996 AbstractStarting with an abelian category A, a natural construction produces a category PA such that, when A is an abelian category of vector spaces, PA is the corresponding category of projective spaces. The process of forming the category PA destroys abelianess, but not completely, and the precise measure of what remains of it gives the possibility ...
Marco Grandis, A. Carboni
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Duke Mathematical Journal, 1950 The most striking feature of projective geometry is the principle of duality: If in a proposition about the projective space (the projective plane) we interchange points and planes (points and lines) we obtain a valid proposition. It thus seems natural to ask for a self-dual foundation of the theories in the sense that for every postulate the above ...
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On projections of metric spaces
Journal of Computational Geometry, 2011 Journal of Computational Geometry, Vol. 5 No. 1 (2014)
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Domesticity in projective spaces [PDF]
Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial, 2011 Let J be a set of types of subspaces of a projective space. Then a collineation or a duality is called J-domestic if it maps no flag of type J to an opposite one. In this paper, we characterize symplectic polarities as the only dualities of projective spaces that map no chamber to an opposite one.
Temmermans, Beukje +2 more
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Orbifold quantum D-modules associated to weighted projective spaces
, 2014 We construct in an abstract fashion the orbifold quantum cohomology (quantum orbifold cohomology) of weighted projective space, starting from the orbifold quantum differential operator.
Guest, Martin A., Sakai, Hironori
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On the quaternion projective space [PDF]
Journal of Taibah University for Science, 2020 Apart from being a vital and exciting field in mathematics with interesting results, projective spaces have various applications in design theory, coding theory, physics, combinatorics, number theory and extremal combinatorial problems. In this paper, we consider real, complex and quaternion projective spaces.
Y. Omar +4 more
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