Tootfinder

This https://arxiv.org/abs/2311.09407 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Singular Lagrangians and the Faddeev-Jackiw Formalism in Classical Mechanics
Classical mechanical systems with internal constraints will be examined using the extended symplectic formalism of Faddeev-Jackiw. We will derive the generalized brackets of the theory and the corresponding equations of motion. The investigation will include the analysis of a gauge system, leading to the identification of associated gauge transformations. The obtained results will be compared with those obtained through the Dirac-Bergmann algorithm, as previously documented in the literature. T…

This https://arxiv.org/abs/1710.06970 has been replaced.
link: https://scholar.google.com/scholar?q=a

BPZ equations for higher degenerate fields and nonperturbative Dyson-Schwinger equations
In the two-dimensional Liouville conformal field theory, correlation functions involving a degenerate field satisfy partial differential equations due to the decoupling of the null descendant field. On the other hand, the instanton partition function of a four-dimensional $\mathcal{N}=2$ supersymmetric theory in the $Ω$-background at a special point of the parameter space also satisfies a partial differential equation resulting from the constraints of the gauge field configurations. This parti…

This https://arxiv.org/abs/1710.06970 has been replaced.
link: https://scholar.google.com/scholar?q=a

BPZ equations for higher degenerate fields and nonperturbative Dyson-Schwinger equations
In the two-dimensional Liouville conformal field theory, correlation functions involving a degenerate field satisfy partial differential equations due to the decoupling of the null descendant field. On the other hand, the instanton partition function of a four-dimensional $\mathcal{N}=2$ supersymmetric theory in the $Ω$-background at a special point of the parameter space also satisfies a partial differential equation resulting from the constraints of the gauge field configurations. This parti…

This https://arxiv.org/abs/2303.17021 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nuc…

Theoretical and Experimental Constraints for the Equation of State of Dense and Hot Matter
This review aims at providing an extensive discussion of modern constraints relevant for dense and hot strongly interacting matter. It includes theoretical first-principle results from lattice and perturbative QCD, as well as chiral effective field theory results. From the experimental side, it includes heavy-ion collision and low-energy nuclear physics results, as well as observations from neutron stars and their mergers. The validity of different constraints, concerning specific conditions an…

This https://arxiv.org/abs/2304.03699 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_ees…

Sorta Solving the OPF by Not Solving the OPF: DAE Control Theory and the Price of Realtime Regulation
This paper presents a new approach to approximate the AC optimal power flow (ACOPF). By eliminating the need to solve the ACOPF every few minutes, the paper showcases how a realtime feedback controller can be utilized in lieu of ACOPF and its variants. By (i) forming the grid dynamics as a system of differential-algebraic equations (DAE) that naturally encode the non-convex OPF power flow constraints, (ii) utilizing DAELyapunov theory, and (iii) designing a feedback controller that captures rea…

Holding the fields constant: A shape-calculus approach to electromagnetic forces
Piyush Panchal, Ralf Hiptmair, Stefan Kurz
https://arxiv.org/abs/2406.05655

Holding the fields constant: A shape-calculus approach to electromagnetic forces
Using the mathematical theory of shape calculus as tool, we perform a rigorous investigation of the virtual work principle for the computation of electromagnetic forces in static settings. The main goal is to shed light on the widely held belief that the virtual work principle entails passively advecting the fields with the virtual displacement when computing deformation-dependent field energies gradients. The adjoint approach to differentiation of functionals under variational constraints pr…

Order-theoretic models for decision-making: Learning, optimization, complexity and computation
Pedro Hack
https://arxiv.org/abs/2406.10730 https://<…

Order-theoretic models for decision-making: Learning, optimization, complexity and computation
The study of intelligent systems explains behaviour in terms of economic rationality. This results in an optimization principle involving a function or utility, which states that the system will evolve until the configuration of maximum utility is achieved. Recently, this theory has incorporated constraints, i.e., the optimum is achieved when the utility is maximized while respecting some information-processing constraints. This is reminiscent of thermodynamic systems. As such, the study of int…

This https://arxiv.org/abs/2306.00806 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A sparse approximation of the Lieb functional with moment constraints
The aim of this paper is to present new sparsity results about the so-called Lieb functional, which is a key quantity in Density Functional Theory for electronic structure calculations of molecules. The Lieb functional was actually shown by Lieb to be a convexification of the so-called Lévy-Lieb functional. Given an electronic density for a system of $N$ electrons, which may be seen as a probability density on $\mathbb{R}^3$, the value of the Lieb functional for this density is defined as the …

This https://arxiv.org/abs/2306.00806 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A sparse approximation of the Lieb functional with moment constraints
The aim of this paper is to present new sparsity results about the so-called Lieb functional, which is a key quantity in Density Functional Theory for electronic structure calculations of molecules. The Lieb functional was actually shown by Lieb to be a convexification of the so-called Lévy-Lieb functional. Given an electronic density for a system of $N$ electrons, which may be seen as a probability density on $\mathbb{R}^3$, the value of the Lieb functional for this density is defined as the …