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AI-Powered Approaches for Hypersurface Reconstruction in Multidimensional Spaces
The present article explores the possibilities of using artificial neural networks to solve problems related to reconstructing complex geometric surfaces in Euclidean and pseudo-Euclidean spaces, examining various approaches and techniques for training ...
Kostadin Yotov +3 more
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Optimal anticipatory control as a theory of motor preparation
Supported by a decade of primate electrophysiological experiments, the prevailing theory of neural motor control holds that movement generation is accomplished by a preparatory process that progressively steers the state of the motor cortex into a ...
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Geometry of biharmonic curves and submanifolds
Neste trabalho estudamos essencialmente problemas relacionados aos conceitos de superfícies e curvas bi-harmônicas e de superfícies de ângulo constante. Caracterizamos as curva bi-harmônicas do grupo especial linear SL(2,R).
Passamani, Apoenã Passos
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Identifiability, the KL property in metric spaces, and subgradient curves
Identifiability, and the closely related idea of partial smoothness, unify classical active set methods and more general notions of solution structure.
Lewis, Adrian, Tian, Tonghua
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Altı bölümden oluşan bu tezde, Lorentz ve yarı-Öklid uzaylarında lineer vektör alanları ve integral eğrileri ele alınmıştır. Bu çalışmanın temel amacı, Lorentz ve yarı-Öklid uzaylarında lineer vektör alanını belirleyen anti-simetrik matrisleri bulmak ve ...
Turhan, Tunahan
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An Introduction to Metric Spaces
In this thesis we start off by ensuring that the reader is up to speed when it comes to some well known definitions and theorems from real analysis.
Wiman, David, Erickson Andersson, Samuel
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On post-Lie algebras, Lie--Butcher series and moving frames
Pre-Lie (or Vinberg) algebras arise from flat and torsion-free connections on differential manifolds. They have been studied extensively in recent years, both from algebraic operadic points of view and through numerous applications in numerical analysis,
MUNTHE-KAAS, Hans, LUNDERVOLD, Alexander
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Inextensible flows of curves with Fermi-Walker derivative in 3-dimensional Galilean space
Fen Bilimleri Enstitüsü, Matematik Ana Bilim DalıBu çalışma dört bölümden oluşmaktadır. İlk bölümde elastik olmayan eğri akışları ile ilgili literatürde yer alan çalışmalar ifade edildi.
Nizamettin Sertkol, İpek
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On post-Lie algebras, Lie--Butcher series and moving frames
Pre-Lie (or Vinberg) algebras arise from flat and torsion-free connections on differential manifolds. They have been studied extensively in recent years, both from algebraic operadic points of view and through numerous applications in numerical analysis,
Lundervold, Alexander, Munthe-Kaas, Hans
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The geometry of self-affine fractals
In this thesis we study the dimension theory of self-affine sets. We begin by introducing a number of notions from fractal geometry, in particular, dimensions, measure properties and iterated functions systems.
Miao, Jun Jie
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