Implicit quiescent soliton perturbation in optical metamaterials with complex Ginzburg-Landau equation having nonlinear chromatic dispersion and Kudryashov's forms of self-phase modulation structures by lie symmetry. [PDF]
Adem AR +5 more
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Manifold topological deep learning for biomedical data. [PDF]
Liu X +5 more
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Neural networks for structured grid generation. [PDF]
Khairullin B, Rykovanov S, Zagidullin R.
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Rotation-Free Scalar Calibration of Cubic Magnetic Gradient Tensor Array Using Constant-Magnitude Magnetic Fields with Randomized Orientations. [PDF]
Wang C, Yuan Z, Liu G, Zhang Y, Liu W.
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Neural SHAKE: geometric constraints in neural differential equations. [PDF]
Diamond JS, Lill MA.
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Finite-Capacity Thermodynamics of Causal Horizons. [PDF]
Antiba CA.
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Algebraic Topology via Differential Geometry
In this volume the authors seek to illustrate how methods of differential geometry find application in the study of the topology of differential manifolds. Prerequisites are few since the authors take pains to set out the theory of differential forms and the algebra required.
M. Karoubi, C. Leruste
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Metric Algebraic Geometry [PDF]
Oberwolfach Seminar: Metric Algebraic Geometry 2322bOberwolfach Seminar: Metric Algebraic Geometry 2322bMetric algebraic geometry combines concepts from algebraic geometry and differential geometry.
Paul Breiding +2 more
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Differential forms in computational algebraic geometry
Proceedings of the 2007 international symposium on Symbolic and algebraic computation, 2007We give a uniform method for the two problems #CCC and #ICC of counting connected and irreducible components of complex algebraic varieties, respectively. Our algorithms are purely algebraic, i.e., they use only the field structure of C. They work efficiently in parallel and can be implemented by algebraic circuits of polynomial depth, i.e., in ...
Peter Bürgisser, Peter Scheiblechner
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