Grothendieck's theorem on non-abelian H^2 and local-global principles
, 1998 A theorem of Grothendieck asserts that over a perfect field k of cohomological dimension one, all non-abelian H^2-cohomology sets of algebraic groups are trivial.
Flicker, Yuval Z. +2 more
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The elementary obstruction and homogeneous spaces [PDF]
, 2008 Let $k$ be a field of characteristic zero and ${\bar k}$ an algebraic closure of $k$. For a geometrically integral variety $X$ over $k$, we write ${\bar k}(X)$ for the function field of ${\bar X}=X\times_k{\bar k}$.
Borovoi, M. +2 more
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Spectral Analysis of Kernel and Neural Embeddings: Optimization and Generalization [PDF]
, 2019 We extend the recent results of (Arora et al. 2019). by spectral analysis of the representations corresponding to the kernel and neural embeddings. They showed that in a simple single-layer network, the alignment of the labels to the eigenvectors of the ...
Chehreghani, Morteza Haghir +3 more
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Studying the $${\bar{D}}_1K$$ D ¯ 1 K molecule in the Bethe–Salpeter equation approach
European Physical Journal C: Particles and Fields, 2021 We interpret the $$X_1(2900)$$ X 1 ( 2900 ) as an S-wave $${\bar{D}}_1K$$ D ¯ 1 K molecular state in the Bethe–Salpeter equation approach with the ladder and instantaneous approximations for the kernel.
Jing-Juan Qi +3 more
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Extensions of algebraic groups with finite quotient and nonabelian 2-cohomology
, 2017 For a finite smooth algebraic group $F$ over a field $k$ and a smooth algebraic group $\bar G$ over the separable closure of $k$, we define the notion of $F$-kernel in $\bar G$ and we associate to it a set of nonabelian 2-cohomology. We use this to study
Arteche, Giancarlo Lucchini
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Scaling Limit of Deeply Virtual Compton Scattering [PDF]
, 1996 I outline a perturbative QCD approach to the analysis of the deeply virtual Compton scattering process $\gamma^* p \to \gamma p'$ in the limit of vanishing momentum transfer $t= (p' - p)^2$.
A.V Radyushkin +18 more
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Algebraic Properties of Interval -Valued Quadri Partitioned Neutrosophic Fuzzy Matrices and their Application in Multi-Criteria Decision- Making Problem [PDF]
Neutrosophic Sets and SystemsIn this study, we introduce two novel matrix concepts in the neutrosophic fuzzy domain: range-symmetric Interval-Valued Quadri Partitioned Neutrosophic Fuzzy Matrices and kernelsymmetric Interval-Valued Quadri Partitioned Neutrosophic Fuzzy Matrices ...
P.Tharini +5 more
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On the abelian complexity of generalized Thue-Morse sequences
, 2019 In this paper, we study the abelian complexity $\rho_n^{ab}(\mathbf{t}^{(k)})$ of generalized Thue-Morse sequences $\mathbf{t}^{(k)}$. We obtain the exact value of $\rho_n^{ab}(\mathbf{t}^{(k)})$ for every integer $n\geq k$.
Chen, Jin, Wen, Zhi-Xiong
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An Efficient and Fast Model Reduced Kernel KNN for Human Activity Recognition
Journal of Advanced Transportation, 2021 With accumulation of data and development of artificial intelligence, human activity recognition attracts lots of attention from researchers. Many classic machine learning algorithms, such as artificial neural network, feed forward neural network, K ...
Zongying Liu +4 more
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Sharp Estimates of Radial Dunkl and Heat Kernels in the Complex Case $A_n$
Comptes Rendus. Mathématique, 2021 In this article, we consider the radial Dunkl geometric case $k=1$ corresponding to flat Riemannian symmetric spaces in the complex case and we prove exact estimates for the positive valued Dunkl kernel and for the radial heat kernel.
Graczyk, Piotr, Sawyer, Patrice
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