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   Articles with "generalized complex" as a keyword



The Generalized Complex Kernel Affine Projection Algorithms

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recommendations! Published in 2021 at "Circuits, Systems, and Signal Processing"

DOI: 10.1007/s00034-021-01804-8

Abstract: The complex kernel adaptive filter (CKAF) has been widely applied to the complex-valued nonlinear problem in signal processing and machine learning. However, most of the CKAF applications involve the complex kernel least mean square (CKLMS)… read more here.

Keywords: generalized complex; affine projection; complex kernel; gckap algorithms ... See more keywords

Brane Quantization of Toric Poisson Varieties

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recommendations! Published in 2022 at "Communications in Mathematical Physics"

DOI: 10.1007/s00220-022-04315-y

Abstract: In this paper we propose a noncommutative generalization of the relationship between compact Kähler manifolds and complex projective algebraic varieties. Beginning with a prequantized Kähler structure, we use a holomorphic Poisson tensor to deform the… read more here.

Keywords: quantization toric; poisson; complex branes; generalized complex ... See more keywords

Invariant generalized complex structures on flag manifolds

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recommendations! Published in 2020 at "Journal of Geometry and Physics"

DOI: 10.1016/j.geomphys.2020.103610

Abstract: Abstract Let G be a complex semi-simple Lie group and form its maximal flag manifold F = G ∕ P = U ∕ T where P is a minimal parabolic subgroup, U a compact real… read more here.

Keywords: generalized complex; invariant generalized; structures flag; flag manifolds ... See more keywords

Blow-ups in generalized complex geometry

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recommendations! Published in 2018 at "Transactions of the American Mathematical Society"

DOI: 10.1090/tran/7412

Abstract: We study blow-ups in generalized complex geometry. To that end we introduce the concept of holomorphic ideal, which allows one to define a blow-up in the category of smooth manifolds. We then investigate which generalized… read more here.

Keywords: generalized complex; complex geometry; ups generalized; geometry ... See more keywords

A Novel Online Censoring-Based Generalized Complex-Valued Kernel Least Mean Square

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recommendations! Published in 2025 at "IEEE Signal Processing Letters"

DOI: 10.1109/lsp.2025.3636987

Abstract: The generalized complex-valued kernel least mean square (gCKLMS) has shown superior performance in modeling circular and noncircular complex-valued nonlinear signals by leveraging both kernel and pseudo-kernel functions. However, its applicability to large-scale or real-time scenarios… read more here.

Keywords: complex valued; generalized complex; mean square; valued kernel ... See more keywords

Analytic solutions of a generalized complex multi-dimensional system with fractional order

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recommendations! Published in 2025 at "Demonstratio Mathematica"

DOI: 10.1515/dema-2024-0029

Abstract: Abstract The Duhamel principle is a mathematical principle that allows us to solve linear partial differential equations. This system is generalized by the concept of the k k -symbol fractional calculus. We demonstrate that in… read more here.

Keywords: system; generalized complex; solutions generalized; complex multi ... See more keywords
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Estimation of Ricci Curvature for Hemi-Slant Warped Product Submanifolds of Generalized Complex Space Forms and Their Applications

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recommendations! Published in 2023 at "Symmetry"

DOI: 10.3390/sym15061156

Abstract: In this paper, we estimate Ricci curvature inequalities for a hemi-slant warped product submanifold immersed isometrically in a generalized complex space form with a nearly Kaehler structure, and the equality cases are also discussed. Moreover,… read more here.

Keywords: ricci curvature; generalized complex; space; warped product ... See more keywords

Lower extremities for generalized normalized δ-Casorati curvatures of bi-slant submanifolds in generalized complex space forms

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recommendations! Published in 2018 at "Kragujevac journal of mathematics"

DOI: 10.5937/kgjmath1804591a

Abstract: In this paper, we obtain the inequalities for the generalized normalized δ-Casorati curvature and the normalized scalar curvature for different submanifolds in generalized complex space form, which is based on an optimization procedure involving a… read more here.

Keywords: generalized normalized; generalized complex; space; submanifolds generalized ... See more keywords