Manifold representation

Part 1 book "Foundations of geometric continuum mechanics" includes content: The elasticity problem; symmetry and dynamics, banachable spaces of sections of vector bundles over compact manifolds; manifolds of sections and embeddings; the general framework for global analytic stress theory; dual spaces corresponding to spaces of differentiable sections of a vector bundle - localization of sections and functionals; de rham currents; interlude - singular distributions of defects in bodies, vector valued currents; the representation of forces by stresses and hyperstresses,.... and other contents.

410p dianmotminh01 14-05-2024 3 0   Download

Part 1 of ebook "Quantum field theory III: Gauge theory" provide readers with content about: the euclidean manifold as a paradigm; the euclidean space E3 (hilbert space and lie algebra structure); algebras and duality (tensor algebra, grassmann algebra, clifford algebra, lie algebra); representations of symmetries in mathematics and physics; the euclidean manifold E3; the lie group U(1) as a paradigm in harmonic analysis and geometry;...

589p damtuyetha 16-02-2023 9 3   Download

To this end, we adopt an concatenate features from different view points to obtain very competitive accuracy. To evaluate the robustness of the method, we design carefully a multi-view dataset that composes of five dynamic hand gestures in indoor environment with complex background. Experiments with single or cross view on this dataset show that background and viewpoint has strong impact on recognition robustness.

12p vitunis2711 11-12-2019 8 0   Download

In this paper, we attempt to have a clear way of proving some of these results . In fact, we consider a certain class of Bessel integrals where we prove that such integrals vanish under certain conditions.

15p danhdanh27 07-01-2019 21 1   Download

We study the Radon transform Rf of functions on Stiefel and Grassmann manifolds. We establish a connection between Rf and G˚ arding-Gindikin fractional integrals associated to the cone of positive definite matrices. By using this connection, we obtain Abel-type representations and explicit inversion formulae for Rf and the corresponding dual Radon transform. We work with the space of continuous functions and also with Lp spaces.

36p tuanloccuoi 04-01-2013 65 9   Download

This book presents a complete account of the foundations of the theory of p-adic Lie groups. It moves on to some of the important more advanced aspects. Although most of the material is not new, it is only in recent years that p-adic Lie groups have found important applications in number theory and representation theory. These applications constitute, in fact, an increasingly active area of research. The book is designed to give to the advanced, but not necessarily graduate, student a streamlined access to the basics of the theory. It is almost self contained.

266p maket1311 16-10-2012 40 5   Download

Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học được đăng trên tạp chí toán học quốc tế đề tài: Automated target tracking and recognition using coupled view and identity manifolds for shape representation

17p sting03 04-02-2012 36 4   Download