Results 101 to 110 of about 109,360 (279)
Torsion and the second fundamental form for distributions
, 2015 The second fundamental form of Riemannian geometry is generalised to the case of a manifold with a linear connection and an integrable distribution. This bilinear form is generally not symmetric and its skew part is the torsion.
Prince, G. E.
core
Bilinear mappings on topological modules
Bulletin of the Belgian Mathematical Society - Simon Stevin, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Polynomial approximation of bilinear Diffie–Hellman maps
Finite Fields and Their Applications, 2008 Let \(p\) b an odd prime and \(\mathbb{F}_q\) the finite field of characteristic \(p\) with \(q\) elements, \(E\) an elliptic curve defined over \(\mathbb{F}_q\), \(\ell\) a prime different from \(p\) dividing the order \(|E(\mathbb{F}_q)|\), \(P\in E(\mathbb{F}_q)\) a point of order \(\ell\) and \(m\) the order of \(q\) (modulo \(\ell\)). The bilinear
Blake, Ian F., Garefalakis, Theo
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Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo +2 more
wiley +1 more source
Closures in $\aleph_0$-categorical bilinear maps
, 1997 Alternating bilinear maps with few relations allow to define a combinatorial closure similarly as in [2]. For the $\aleph_0$-categorical case we show that this closure is part of the algebraic closure.
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq +4 more
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Manin Triples and Bialgebras of Left-Alia Algebras Associated with Invariant Theory
MathematicsA left-Alia algebra is a vector space together with a bilinear map satisfying the symmetric Jacobi identity. Motivated by invariant theory, we first construct a class of left-Alia algebras induced by twisted derivations. Then, we introduce the notions of
Chuangchuang Kang +3 more
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Nonlinear Sherman-type inequalities
Advances in Nonlinear Analysis, 2018 An important class of Schur-convex functions is generated by convex functions via the well-known Hardy–Littlewood–Pólya–Karamata inequality. Sherman’s inequality is a natural generalization of the HLPK inequality.
Niezgoda Marek
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 more
wiley +1 more source
Neural network with signal parameters featuring for near‐surface velocity model building
Near Surface Geophysics, EarlyView.Abstract This study presents a method that integrates spectral recomposition (SR) with a neural network to improve near‐surface seismic analysis. The approach incorporates SR‐derived wavelet‐timing attributes into a fully convolutional network (FCN) to enhance the characterization of shallow subsurface structures. Field evaluation was conducted using S‐
Nelson Ricardo Coelho Flores Zuniga
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