Results 21 to 30 of about 331,908 (277)
A New Graphical Representation of the Old Algebraic Structure
Journal of Mathematics, 2023 The most recent advancements in algebra and graph theory enable us to ask a straightforward question: what practical use does this graph connected with a mathematical system have in the real world?
Muhammad Nadeem +3 more
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Energies, 2021 In view of the aggravation of global pollution and greenhouse effects, fuel cell electric vehicles (FCEVs) have attracted increasing attention, owing to their ability to release zero emissions.
Ke Song +4 more
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The H-graph with equal masses in terms of multiple polylogarithms
Physics Letters B, 2021 The initial phase of the inspiral process of a binary system producing gravitational waves can be described by perturbation theory. At the third post-Minkowskian order a two-loop double box graph, known as H-graph contributes.
Philipp Alexander Kreer +1 more
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Feynman integrals for binary systems of black holes
SciPost Physics Proceedings, 2022 The initial phase of the inspiral process of a binary black-hole system can be described by perturbation theory. At the third post-Minkowskian order a two-loop double box graph, known as H-graph, contributes.
Philipp Alexander Kreer, Robert Runkel, Stefan Weinzierl
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The Study of the Theoretical Size and Node Probability of the Loop Cutset in Bayesian Networks
Mathematics, 2020 Pearl’s conditioning method is one of the basic algorithms of Bayesian inference, and the loop cutset is crucial for the implementation of conditioning.
Jie Wei, Yufeng Nie, Wenxian Xie
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Hybrid Robust Model Predictive Based Controller for a Class of Multi-Agent Aerial dynamic Systems [PDF]
AUT Journal of Electrical Engineering, 2022 The decentralized control of a multi-agent system with leader-follower consensus is investigated. The system is formulated in graph theory, and a general configuration for L-F formation is proposed.
Erfan Nejabat, Amirhosein Nikoofard
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Scalar Matter Coupled to Quantum Gravity in the Causal Approach: Finite One-Loop Calculations and Perturbative Gauge Invariance [PDF]
, 1999 Quantum gravity coupled to scalar massive matter fields is investigated within the framework of causal perturbation theory. One-loop calculations include matter loop graviton self-energy and matter self-energy and yield ultraviolet finite and cutoff-free
't Hooft +20 more
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Chinese Journal of Mechanical Engineering, 2020 The current type synthesis of the redundant actuated parallel mechanisms is adding active-actuated kinematic branches on the basis of the traditional parallel mechanisms, or using screw theory to perform multiple getting intersection and union to ...
Yongquan Li, Yang Zhang, Lijie Zhang
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Knot Invariants and New Weight Systems from General 3D TFTs [PDF]
, 2011 We introduce and study the Wilson loops in a general 3D topological field theories (TFTs), and show that the expectation value of Wilson loops also gives knot invariants as in Chern-Simons theory.
Qiu, Jian, Zabzine, Maxim
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Modular graph functions and odd cuspidal functions. Fourier and Poincaré series
Journal of High Energy Physics, 2019 Modular graph functions are SL(2, ℤ)-invariant functions associated with Feynman graphs of a two-dimensional conformal field theory on a torus of modulus τ. For one-loop graphs they reduce to real analytic Eisenstein series. We obtain the Fourier series,
Eric D’Hoker, Justin Kaidi
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