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A Unifying Framework for Complex-Valued Eigenfunctions via The Cartan Embedding. [PDF]
J Geom AnalGudmundsson S, Lindström A.
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Symmetry invariants and classes of quasiparticles in magnetically ordered systems having weak spin-orbit coupling. [PDF]
Nat CommunYang J, Liu ZX, Fang C.
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Experimentally Self-Testing Partially Entangled Two-Qubit States on an Optical Platform. [PDF]
Entropy (Basel)Zhao X, Yang YH, Zhao LM, Luo MX.
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Projective hypersurfaces in tropical scheme theory I: the Macaulay ideal. [PDF]
Res Math SciFink A +3 more
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Analytical evaluations using neural network-based method for wave solutions of combined Kairat-II-X differential equation in fluid mechanics. [PDF]
Sci RepZhou P +8 more
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Projections in Spaces of Bimeasures
Canadian Mathematical Bulletin, 1988AbstractLet X and Y be metrizable compact spaces and μ and v be nonzero continuous measures on X and Y, respectively. Then there is no bounded operator from the space of bimeasures BM(X, Y) onto the closed subspace of BM(X, Y) generated by L1 (μ X v); in particular, if X and Fare nondiscrete locally compact groups, then there is no bounded projection ...
Graham, Colin C., Schreiber, Bertram M.
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The Annals of Mathematics, 1967
THEOREM 2. (a) HPn immerses in R8 n-Ea(n)-3J. (b) For n even, CPn immerses in R4ln-a(n)-1]. (c) For n odd, CPn immerses in R4n-a(n). Here a(n) is the number of ones in the dyadic expansion of n, and k(n) is a non-negative function depending only on the mod (8) residue class of n with k(1) = 0, k(3) = k(5) = 1 and k(7) = 4. As a consequence, for every j>
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THEOREM 2. (a) HPn immerses in R8 n-Ea(n)-3J. (b) For n even, CPn immerses in R4ln-a(n)-1]. (c) For n odd, CPn immerses in R4n-a(n). Here a(n) is the number of ones in the dyadic expansion of n, and k(n) is a non-negative function depending only on the mod (8) residue class of n with k(1) = 0, k(3) = k(5) = 1 and k(7) = 4. As a consequence, for every j>
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On the Embedding of an Affine Space into a Projective Space
Geometriae Dedicata, 2000Let \(k\) and \(K\) be commutative fields. An embedding of the affine space \(AG(n,k)\) into the projective space \(PG(m,K)\) is an injective mapping \(\psi\) from the point set of \(AG(n,k)\) to the point set of \(PG(m,K)\) which maps collinear points to collinear points and non-collinear points to non-collinear points. The author shows that for \(|k |
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