Results 81 to 90 of about 5,469 (233)
In this paper, the notion of a QI-algebra is introduced which is a generalization of a BI-algebra and there are studied its properties. We considered ideals, congruence kernels in a QI-algebra and characterized congruence kernels whenever a QI-algebra is
Bandaru Ravi Kumar
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On the Kernel of a Polynomial of Scalar Derivations
In this paper, by using a vector variable, the procedure of characteristic systems allows us to describe the kernel of a polynomial of scalar derivations by solving Cauchy Problems for the corresponding system of ODEs. Moreover, a gradient representation
Savin Treanţă
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ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
wiley +1 more source
Kernel algebras and generalized Fourier–Mukai transforms
We introduce and study kernel algebras , i.e., algebras in the category of sheaves on a square of a scheme, where the latter category is equipped with a monoidal structure via a natural convolution operation. We show that many interesting categories, such as D-modules, equivariant sheaves and
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ABSTRACT Modern engineering systems require advanced uncertainty‐aware model updating methods that address parameter correlations beyond conventional interval analysis. This paper proposes a novel framework integrating Riemannian manifold theory with Gaussian Process Regression (GPR) for systems governed by Symmetric Positive‐Definite (SPD) matrix ...
Yanhe Tao +3 more
wiley +1 more source
Assessing the cytoplasmic uptake of fluorescently-tagged drugs in heterogeneous cell types currently involves time-consuming manual segmentation of confocal microscopy images.
Allan Kachelmeier +5 more
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Quasi-Frobenius-Lusztig kernels for simple Lie algebras
In the first author’s Math. Res. Lett. paper (2014), the quasi-Frobenius-Lusztig kernel associated with s l 2 \mathfrak {sl}_{2} was constructed. In this paper we construct the quasi-Frobenius-Lusztig kernels associated with any simple Lie algebra g ...
Liu, Gongxiang +2 more
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Kokkos Kernels: Performance Portable Sparse/Dense Linear Algebra and Graph Kernels
As hardware architectures are evolving in the push towards exascale, developing Computational Science and Engineering (CSE) applications depend on performance portable approaches for sustainable software development. This paper describes one aspect of performance portability with respect to developing a portable library of kernels that serve the needs ...
Rajamanickam, Sivasankaran +9 more
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ABSTRACT Recent advances in the numerical solution of fractional partial differential equations have yielded promising results. In particular, the Shifted Grünwald–Letnikov (SGL) approach allows for a generalization of the traditional finite difference method to the context of fractional differential equations.
Pedro Victor Serra Mascarenhas +1 more
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Weak-Star Closed Algebras and Generalized Bergman Kernels [PDF]
In this paper we will characterize the weak-star closed algebra A \mathcal {A} generated by the canonical model associated with a generalized Bergman kernel defined on a domain G G in the plane, whose spectrum is a spectral set. In fact, A \mathcal {A} equals the space
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