نتایج جستجو برای: hyper generalized recurrent manifold
تعداد نتایج: 343409 فیلتر نتایج به سال:
This paper presents the ‘hyper-sinh’, a variation of m-arcsinh activation function suit-able for Deep Learning (DL)-based algorithms supervised learning, including Convolutional Neural Networks (CNN) and Recurrent (RNN), such as Long Short-Term Memory (LSTM). hyper-sinh, developed in open-source Python libraries TensorFlow Keras, is thus described validated an accurate reliable shallow deep neu...
A hypercomplex manifold is a manifold equipped with three complex structures I, J,K satisfying the quaternionic relations. Let M be a 4-dimensional compact smooth manifold equipped with a hypercomplex structure, and E be a vector bundle on M . We show that the moduli space of anti-self-dual connections on E is also hypercomplex, and admits a strong HKT metric. We also study manifolds with (4,4)...
The set of solutions of a parameter-dependent linear partial differential equation with smooth coefficients typically forms a compact manifold in a Hilbert space. In this paper we review the generalized reduced basis method as a fast computational tool for the uniform approximation of the solution manifold. We focus on operators showing an affine parametric dependence, expressed as a linear com...
Among the many problems attendant to the discovery of exotic generalized manifolds [2, 3] is the \normal bundle" problem, that is, the classi cation of neighborhoods of generalized manifolds tamely embedded in generalized manifolds (with the disjoint disks property). In this paper we study the normal structure of tame embeddings of a closed generalized manifold X into topological manifolds V n+...
The elastic energy functional of a thin elastic rod or sheet is generalized to the case of an M -dimensional manifold in N -dimensional space. We derive potentials for the stress field and curvatures and find the generalized von Karman equations for a manifold in elastic equilibrium. We perform a scaling analysis of an M − 1 dimensional ridge in an M = N − 1 dimensional manifold. A ridge of lin...
The generalized vector is defined on an n dimensional manifold. Interior product, Lie derivative acting on generalized p-forms, −1 ≤ p ≤ n are introduced. Generalized commutator of two generalized vectors are defined. Adding a correction term to Cartan’s formula the generalized Lie derivative’s action on a generalized vector field is defined. We explore various identities of the generalized Lie...
Job’s syndrome, a subset of the Hyper-immunoglobulin E (IgE) recurrent Infection Syndrome (HIES), is a rare primary immunodeficiency disorder characterized by a classic clinical triad of recurrent staphylococcal abscesses, recurrent cyst-forming pneumonia, and markedly elevated serum IgE level. To date, slightly more than 200 cases have been published worldwide. Here we review HIES and report o...
Hyper-immunoglobulin E (IgE) is a disorder of immune system characterized by assemblage symptoms including recurrent skin and pulmonary infections, skeletal anomalies elevated serum IgE (>2000 IU/ml). More recently, apart from the typical features, neurological manifestations have also been described central nervous facial nerve palsy demyelinating disorders. Here we describe three patients ...
This paper is part of an ongoing program to develop a theory of generalized differential geometry. We consider the space G[X, Y ] of Colombeau generalized functions defined on a manifold X and taking values in a manifold Y . This space is essential in order to study concepts such as flows of generalized vector fields or geodesics of generalized metrics. We introduce an embedding of the space of...
It has been shown recently by Kapustin and Tomasiello that the mathematical notion of Hamiltonian actions on twisted generalized Kähler manifolds is in perfect agreement with the physical notion of general (2, 2) gauged sigma models with three-form fluxes. In this article, we study the twisted equivariant cohomology theory of Hamiltonian actions on H-twisted generalized complex manifolds. If th...
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