Results 231 to 240 of about 8,035 (253)

Subthalamic segmentations in relation to deep brain stimulation volumes in Parkinson's disease. [PDF]

Acta Neurochir (Wien)
Calvano A, Xiao Y, Steidel K, Loehrer PA, Ruppert-Junck MC, Nimsky C, Timmermann L, Bopp MHA, Pedrosa DJ.   +8 more
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Differential geometry of a parametric family of invertible linear systems—Riemannian metric, dual affine connections, and divergence

Mathematical Systems Theory, 1987
The paper reports on a nice crossfertilization of the theory of linear, discrete-time control systems and differential-geometric statistics. A Hilbert manifold of linear, SISO, minimum phase systems is defined via the spectral density function, within which some finite-dimensional families of systems are considered.
Shun－Ichi Amari, Amari Shun-Ichi
exaly   +4 more sources

On lie algebras of affine vector fields of ideal realizations of holomorphic linear connections

Russian Mathematics, 2008
We study the properties of real realizations of holomorphic linear connections over associative commutative algebras $$ \mathbb{A} $$ m with unity. The following statements are proved.
M. V. Morgun, A. Ya. Sultanov
exaly   +3 more sources

Formal frames and deformations of affine connections

Tohoku mathematical journal, 2022
We will introduce formal frames of manifolds, which are a generalization of ordinary frames. Their fundamental properties are discussed. In particular, canonical forms are introduced, and torsions are defined in terms of them as a generalization of the ...
T. Asuke
semanticscholar   +1 more source

Optimal Power Flow for Three-phase Unbalanced Active Distribution Networks with Delta Connections

IEEE ANDESCON, 2022
This paper presents a linear-convex formulation for the optimal power flow (OPF) in three-phase unbalanced power distribution networks considering mixed wye and delta-connected loads. The present approach describes an optimization model based on Taylor’s
Simón Sepúlveda, A. Ruiz, J. Mora-Flórez   +2 more
semanticscholar   +1 more source

Extended affine Lie algebras, affine vertex algebras, and general linear groups

Representation Theory: An Electronic Journal of the AMS
In this paper, we explore natural connections among the representations of the extended affine Lie algebra s l N ^
Fulin Chen, Haisheng Li, Shaobin Tan, Qing Wang   +3 more
semanticscholar   +1 more source

Canonical Almost Geodesic Mappings of the First Type of Spaces with Affine Connection Onto Generalized 2-Ricci-Symmetric Spaces

Geometry Integrability and Quantization, 2021
In the paper we consider almost geodesic mappings of the first type of spaces with affine connections onto generalized 2-Ricci-symmetric spaces. The main equations for the mappings are obtained as a closed system of linear differential equations of ...
V. Berezovski, Yevhen Cherevko, S.G. Leshchenko, J. Mikeš   +3 more
semanticscholar   +1 more source

Solving Infinite-Horizon Optimal Control Problems using the Extreme Theory of Functional Connections

International Conference on Intelligent Cloud Computing
This paper presents a physics-informed machine learning approach for synthesizing optimal feedback control policy for infinite-horizon optimal control problems by solving the Hamilton–Jacobi–Bellman (HJB) partial differential equation(PDE).
Tanay Raghunandan Srinivasa, Suraj Kumar
semanticscholar   +1 more source

Affine connections on 3-Sasakian and manifolds

Mathematische Zeitschrift, 2019
Cristina Draper, MIGUEL Ortega, FRANCISCO J Palomo   +2 more
exaly