Results 11 to 20 of about 264,184 (301)
Fano schemes for generic sums of products of linear forms [PDF]
We study the Fano scheme of [Formula: see text]-planes contained in the hypersurface cut out by a generic sum of products of linear forms. In particular, we show that under certain hypotheses, linear subspaces of sufficiently high dimension must be contained in a coordinate hyperplane.
Ilten, Nathan Owen, Süß, Hendrik
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COMPUTING CODIMENSIONS AND GENERIC CANONICAL FORMS FOR GENERALIZED MATRIX PRODUCTS [PDF]
A generalized matrix product can be formally written as A sp p A sp−1 p−1 · · ·A s2 2 A s1 1, where si ∈ {−1,+1} and (A1,..., Ap) is a tuple of (possibly rectangular) matrices of suitable dimensions.
Kressner, Daniel +5 more
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This paper investigates the problem of dissipativity of a class of neural networks with timevarying delays. First, a suitable augmented Lyapunov functional containing the second-order delay-product term is constructed.
Hui-Chao Lin, Wei Wang, Hui-Qin Xiao
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Contact and almost contact structures on the real extension of the Lobachevsky plane
In this article, we propose a group model G of a real extension of the Lobachevsky plane H2 × R . The group G is a Lie group of special-form matrices and a subgroup of the general linear group GL(3, R).
V.I. Pan’zhenskii, A.O. Rastrepina
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Coherent state representation of squeezing operator and its applications
In a previous paper Zhan et al. (2022) proposed the coherent state representation for linear operator, which shows a beautiful theoretical value. Inspired by the work, we further extend it to the nonlinear case, including single- and two-mode squeezing ...
Xiaojian Qiu +3 more
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On ideals generated by a-fold products of linear forms [PDF]
Let $\mathbb K$ be a field of characteristic 0. Given $n$ linear forms in $R=\mathbb K[x_1,\ldots,x_k]$, with no two proportional, in one of our main results we show that the ideal $I\subset R$ generated by all $(n-2)$-fold products of these linear forms has linear graded free resolution.
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On the real linear polarization constant problem [PDF]
The present paper deals with lower bounds for the norm of products of linear forms. It has been proved by J. Arias-de-Reyna [2], that the so-called n(th) linear polarization constant c(n)(C-n) is n(n/2), for arbitrary n is an element of N. The same value
Matolcsi, Máté +3 more
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The evaluation of linear forms [PDF]
This presentation deals with the evaluation and transformation of linear forms. Especial emphasis is given to implicit methods in which it is not necessary to find the explicit values, x i . The relation of the Aitken triple product matrix CA −1 B to the
P. Dwyer, Dwyer, Paul S. (Paul Sumner)
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Maximizing products of linear forms, and the permanent of positive semidefinite matrices [PDF]
We study the convex relaxation of a polynomial optimization problem, maximizing a product of linear forms over the complex sphere. We show that this convex program is also a relaxation of the permanent of Hermitian positive semidefinite (HPSD) matrices ...
Yuan, Chenyang, Parrilo, Pablo A.
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Prosilience trajectories of phoenix regions: a narrative on intelligent transformation of old mining areas [PDF]
This paper departs from the regional resilience concept - as part of a broad strand of literature on non-linear dynamic systems in a space-economy - and introduces the notion of prosilience to highlight the policy challenge of developing radically new ...
Patricio AROCA +3 more
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