Results 11 to 20 of about 126,971 (263)
Some projective distance inequalities for simplices in complex projective space [PDF]
, 2014 We prove inequalities relating the absolute value of the determinant of n+1 linearly independent unit vectors in an n+1 dimensional complex vector space and the projective distances from the vertices to the hyperplanes containing the opposite faces of ...
Cherry, William +2 more
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Riemann surfaces in complex projective spaces [PDF]
Proceedings of the American Mathematical Society, 1972 The complex projective line and the complex quadric are the only compact Riemann surfaces in the complex projective plane with constant scalar normal curvature.
Bang-Yen Chen, Gerald D. Ludden
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Immersions of real projective spaces into complex projective spaces [PDF]
Hiroshima Mathematical Journal, 1987 This paper achieves a classification up to regular homotopy of immersions from a real projective space \(P^ n({\mathbb{R}})\) into a complex projective space \(P^ m({\mathbb{C}})\). Calculations with characteristic classes show that, for \(n>m\), any such immersion is nullhomotopic.
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On spaces of maps between complex projective spaces [PDF]
Proceedings of the American Mathematical Society, 1984 When 1 ⩽ m ⩽ n 1 \leqslant m \leqslant n , the space M ( P m , P n ) M({P^m},{P^n}) of maps of complex projective m m -space
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Almost complex structures on complex projective spaces [PDF]
Transactions of the American Mathematical Society, 1974 In this paper we classify the almost complex structures on a complex projective space as roots of a certain polynomial equation.
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International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary In this contribution, we propose a detailed study of interpolation‐based data‐driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer function of the underlying (unknown) model, that is, we analyze frequency‐response data.
Quirin Aumann, Ion Victor Gosea
wiley +1 more source
Data‐driven performance metrics for neural network learning
International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri +2 more
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Complexity of triangulations of the projective space
Topology and its Applications, 2003 It is known that any two triangulations of a compact 3-manifold are related by finite sequences of certain local transformations. We prove here an upper bound for the length of a shortest transformation sequence relating any two triangulations of the 3-dimensional projective space, in terms of the number of tetrahedra.
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, 2005 We introduce a notion of normal form for transversely projective structures of singular foliations on complex manifolds. Our first main result says that this normal form exists and is unique when ambient space is two-dimensional.
Brunella M. +7 more
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Noncommutative complex geometry of the quantum projective space
, 2011 We define holomorphic structures on canonical line bundles of the quantum projective space $\qp^{\ell}_q$ and identify their space of holomorphic sections. This determines the quantum homogeneous coordinate ring of the quantum projective space.
Khalkhali, Masoud, Moatadelro, Ali
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