tangent space
The tangent space to the space of 0-cycles
... their tangent space is the stalk of a sheaf on the variety itself, but not on a space of 0-cycles, see, for example, the definition on page 90, or formula ...the space of 0-cycles, as a ...
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Classification with Random ForestBased onLocal Tangent Space Alignment and Neighborhood Preserving Embedding for MSER features: MSER_DFT_LTSA-NPE_RF
... Abstract — In this article, 180 gastric images taken with Light Microscope help are used. Maximally Stable Extremal Regions (MSER) features of the images for classification has been calculated. These MSER features have ...
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Signal Denoise Method Based on Fractal Dimension, the Higher Order Statistics and Local Tangent Space Arrangement
... neighborhood methods, not considering the global structure information of manifold. At present mainfold learning has already become the new research hot spot data on dimensionality reduction, feature extraction and the ...
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Medical DR image alignment based improved tangent space
... Tangent space alignment is efficient in machine ...global space, and is of great importance in learning the shared latent structure, data fusion and multicue data ...improved tangent ...
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TEXTURE PATTERN IN ABNORMAL MAMMOGRAMS CLASSIFICATION USING SUPERVISED MACHINE LEARNING TECHNIQUES
... In this Section, The performance of dynamic and static objects of 3D games with tangent space normal mapping was analyzed by measuring the rendering speed (FPS: frame per second). First, for the Unity3D ...
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The Definition of Density in General Relativity
... of space depends on the distribu- tion of matter or energy ...Euclidean tangent space, cannot be integrated to give conserved integral data like total number, mass or ...
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Lyapunov analysis of multiscale dynamics: the slow bundle of the two-scale Lorenz 96 model
... In this paper, we numerically integrate Eqs. (1a), (1b), (18a) and (18b) using a Runge–Kutta fourth-order algorithm with a time step 1t = 10 −3 , shorter than the choice 1t = 5 × 10 −3 typically made for the standard L96 ...
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Tangent measure distributions and the geometry of measures
... ate tangent space depending on the dimension of the ...unique tangent measure distributions of a measure and the tangent spaces? W hat types of distributions can occur as unique tangent ...
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A surrogate modelling approach based on nonlinear dimension reduction for uncertainty quantification in groundwater flow models
... local tangent space alignment (LTSA) (Zhang and Zha 2004) to perform Bayesian inference (GP regression/emulation with Markov Chain Monte Carlo) in an abstract feature space and use an inverse ...
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A note on Chen's basic equality for submanifolds in a Sasakian space form
... For a vector field X in M, we put ϕX = P X + F X, where P X ∈ T M and F X ∈ T ⊥ M. Thus, P is an endomorphism of the tangent bundle of M and satisfies g(X, P Y ) = − g(P X, Y ) for all X, Y ∈ T M. From now on, let ...
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Constructive Methods of Invariant Manifolds for Kinetic Problems
... tangent space of the slow motion manifold then T = ImP , and ker P is the fast motions. plane.[r] ...
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Lagrangian Function on the Finite State Space Statistical Bundle
... the tangent space of the statistical manifold, which is an Hilbert bundle that we call statistical bundle.. 20.[r] ...
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Vol 5, No 7 (2014)
... the tangent space at any point of the manifold corresponding to the Ricci tensor S, ...of tangent space at any point of the manifold ...
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Stochastic dynamical systems and processes with discontinuous sample paths
... In a sense, in the general case, we place a process with independent increments in each tangent space, corresponding in ordinary differential equations to a tangent vector at each point [r] ...
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Lorentz invariant quantum fields in the space time tangent bundle
... To accommodate normalization associated with the four-velocity coordinate of the space-time tangent bundle, the integration measure in the tangent space must be appropriately chosen. This ...
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Classical Mechanics is Lagrangian; It Is Not Hamiltonian
... configuration space (the set of all configurations, which naturally accrues the structure of a differential manifold) showed its face; nor did any but the simplest of algebraic and geometric structures appear in ...
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A Kähler Einstein structure on the tangent bundle of a space form
... been studied separately by the author and N. Papaghiucin [16]. It has been obtained when we tried (inspired by an idea of Calabi) to get a Kähler structure on T M starting with a Lagrangian depending on t only. The main ...
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Visualising General Relativity
... If a distant light source is directed at a black hole, it is possible for photons to orbit and then return in space to their source. The initial direction of the photons is essentially opposite to the direction ...
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A basic inequality for submanifolds in a cosymplectic space form
... Theorem 3.2 . Let M be an (n+ 1)-dimensional (n ≥ 2) submanifold isomet- rically immersed in a (2m + 1)-dimensional cosymplectic space form M(c) ˜ such that the structure vector field ξ is tangent to M. ...
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Improving the ensemble transform Kalman filter using a second-order Taylor approximation of the nonlinear observation operator
... This study attempts to solve these problems. First, we ap- ply the second-order Taylor approximation to the nonlin- ear observation operator in which the operator, its tangent- linear operator and Hessian are ...
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