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The Multivariate Theory of Functional Connections: Theory, Proofs, and Application in Partial Differential Equations

open access: yesMathematics, 2020
This article presents a reformulation of the Theory of Functional Connections: a general methodology for functional interpolation that can embed a set of user-specified linear constraints. The reformulation presented in this paper exploits the underlying
Carl Leake   +2 more
doaj   +3 more sources

On generalized Berwald manifolds: extremal compatible linear connections, special metrics and low dimensional spaces [PDF]

open access: yesAUT Journal of Mathematics and Computing, 2021
The notion of generalized Berwald manifolds goes back to V. Wagner [60]. They are Finsler manifolds admitting linear connections on the base manifold such that the parallel transports preserve the Finslerian length of tangent vectors (compatibility ...
Csaba Vincze
doaj   +1 more source

Stability design of structures with semi-rigid connections [PDF]

open access: yesFacta Universitatis. Series: Architecture and Civil Engineering, 2010
The paper points out to the differences of the First order theory and Second order theory and of the significance in practical calculations. The paper presents theoretical foundations and expressions of calculations of impacts on the stability of ...
Igić Tomislav   +4 more
doaj   +1 more source

A note on the Hamiltonian structure of transgression forms

open access: yesJournal of High Energy Physics, 2023
By incorporating two gauge connections, transgression forms provide a generalization of Chern-Simons actions that are genuinely gauge-invariant on bounded manifolds.
Pablo Pais   +2 more
doaj   +1 more source

A generalized 4d Chern-Simons theory

open access: yesJournal of High Energy Physics, 2023
A generalization of the 4d Chern-Simons theory action introduced by Costello and Yamazaki is presented. We apply general arguments from symplectic geometry concerning the Hamiltonian action of a symmetry group on the space of gauge connections defined on
David M. Schmidtt
doaj   +1 more source

David Loye, Thank You for “Telling The New Story”

open access: yesInterdisciplinary Journal of Partnership Studies, 2022
This is an account of a creative hero, whom we shall dearly miss; a scholar, activist, scientist, writer, and creative spirit, who heard the call and took the risks to offer a truth that was eclipsed for 100 years, i.e., “Darwin’s Lost Theory.” This ...
Ruth Richards
doaj   +1 more source

Information geometry in quantum field theory: lessons from simple examples

open access: yesSciPost Physics, 2020
Motivated by the increasing connections between information theory and high-energy physics, particularly in the context of the AdS/CFT correspondence, we explore the information geometry associated to a variety of simple systems. By studying their Fisher
Johanna Erdmenger, Kevin T. Grosvenor, Ro Jefferson
doaj   +1 more source

Theory of teaching: good traditions, old traps, new perspectives. [PDF]

open access: yesStudia z Teorii Wychowania, 2021
The article is an attempt to diagnose the condition of the Polish theory of teaching in a temporal perspective. The starting point is the identification of three main strengths of the interwar theory of teaching: the interdisciplinarity of analyses ...
Dorota Klus-Stańska
doaj   +1 more source

Connection theory on differentiable fibre bundles: A concise introduction

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
The paper contains a partial review on the general connection theory on differentiable fibre bundles. Particular attention is paid on (linear) connections on vector bundles.
Bozhidar Z. Iliev
doaj   +1 more source

Randall Collins’ micro-sociology, the Southern culture of honor, and the codes of violence pathway: Toward a general theory of violence

open access: yesSocial Sciences and Humanities Open, 2022
One of Randall Collins' principal theoretical projects is the advancement of a general theory of violence. The central framing mechanism driving Collins approach is the concept of confrontational tension/fear, and the various pathways a social actor ...
J. David Thomas
doaj   +1 more source

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