Abstract: This article proposes a modified Cucker–Smale model in view of a double-integrator multiagent dynamic system on complete Riemannian manifolds with an attractive–repulsive force. Then, its ...
We consider here the category of diffeological vector pseudo-bundles, and study a possible extension of classical differential geometric tools on finite dimensional vector bundles, namely, the group ...
This paper presents the tensor properties of joint probability densities on a Riemannian manifold. Initially we develop a binary data matrix to record variables' values of a large number of particles ...
With the elevated exemption sunsetting at the end of 2025, now’s an ideal time to start planning with high-net-worth clients (commonly general partners in private equity, venture capital or hedge ...
The investigation and quantification of cardiac motion is important for assessment of cardiac abnormalities and treatment effectiveness. Therefore we consider a new method to track cardiac motion from ...
Abstract: In this paper, we consider a leader-following rendezvous problem for the Cucker-Smale model on the unit circle. With the help of the covariant derivative, parallel transport, and geodesic on ...
We present detailed pedagogical derivation of covariant derivative of fermions and some related expressions, including commutator of covariant derivatives and energy-momentum tensor of a free Dirac ...
We discuss why the Slavnov higher covariant derivative regularization appeared to be an excellent instrument for investigating quantum corrections in supersymmetric gauge theories. For example, it ...
ABSTRACT: I report the reason why Tensor satisfying Binary Law has relations toward physics in this article. Q: The n th-order covariant derivative of the Vector {Aμ, Aμ}:(n=1) satisfying Binary Law.
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