Results 61 to 70 of about 519,259 (281)
Conformal Interactions Between Matter and Higher‐Spin (Super)Fields
Fortschritte der Physik, Volume 71, Issue 1, January 2023., 2023 Abstract In even spacetime dimensions, the interacting bosonic conformal higher‐spin (CHS) theory can be realised as an induced action. The main ingredient in this definition is the model S[φ,h]$\mathcal {S}[\varphi ,h]$ describing a complex scalar field φ coupled to an infinite set of background CHS fields h, with S[φ,h]$\mathcal {S}[\varphi ,h ...
Sergei M. Kuzenko +2 more
wiley +1 more source
H. G. Grassmann et l’introduction d’une nouvelle discipline mathématique : l’Ausdehnungslehre
Philosophia Scientiæ, 2005 Grassmann is not the first to create a new calculus : Möbius, Hamilton, Bellavitis, Cauchy, and many others preceded him in this way which shows all the importance of the changes undergone by the algebra and the evolution of complex connections ...
Dominique Flament
doaj +1 more source
Real Algebraic Geometry for Geometric Constraints [PDF]
arXiv, 2016 Real algebraic geometry adapts the methods and ideas from (complex) algebraic geometry to study the real solutions to systems of polynomial equations and polynomial inequalities. As it is the real solutions to such systems modeling geometric constraints that are physically meaningful, real algebraic geometry is a core mathematical input for geometric ...
arxiv
A triangulation of semi-algebraic sets concerning an analytical condition for shortest-length curves [PDF]
arXiv, 2020 This paper concerns an analytical stratification question of real algebraic and semi-algebraic sets. For Whitney's stratification in 1957, it partitions a real algebraic set into partial algebraic manifolds\cite{W}. In 1975 Hironaka reproved that a real algebraic set is triangulable and also generalized it to semi-algebraic sets, following the idea of ...
arxiv
physica status solidi (b), Volume 260, Issue 1, January 2023., 2023 The modulated harmonic wave in the discrete series‐connected Josephson transmission line (JTL) is considered and the equation describing the modulation amplitude is obtained. The equation turns out to be the defocusing nonlinear Schrödinger equation. The most interesting result following the calculations is the existence of the dark solitons in the JTL.
Eugene Kogan
wiley +1 more source
Civil Engineering Design, EarlyView.Abstract The German Research Foundation has established the priority program SPP 100+. Its subject is monitoring bridge structures in civil engineering. The data‐driven methods cluster deals with the use of measurements and their special global and local analysis methods, which complement each other in an overall multi‐scale concept in order to realize
Maximilian Rohrer +13 more
wiley +1 more source
Parameter and q asymptotics of Lq‐norms of hypergeometric orthogonal polynomials
International Journal of Quantum Chemistry, Volume 123, Issue 2, January 15, 2023., 2023 The weighted Lq‐norms of orthogonal polynomials are determined when q and the polynomial's parameter tend to infinity. They are given in this work by the leading term of the q and parameter asymptotics of the corresponding quantities of the associated probability density. These results are not only interesting per se, but also because they control many
Nahual Sobrino, Jesus S. Dehesa
wiley +1 more source
Choreography of divisors on algebraic curves [PDF]
arXiv, 2019 For a non-singular real algebraic projective curve, topological restrictions on a closed motion of a simple real divisor in its linear equivalence class are found.
arxiv
X‐Ray Absorption Studies of Local Structure of Dilute Ionic Species in Molten Salts
Chemistry–Methods, EarlyView.This article reviews the state of the art in the use of X‐ray absorption spectroscopy methods, both experimental and theoretical, for understanding the structure of dopant metal ions in molten salts. Recent strategies, including molecular dynamics simulations and neural network–assisted analysis of X‐ ray absorption spectroscopy as well as chemometrics
Kaifeng Zheng +11 more
wiley +1 more source
A General Approach to Dropout in Quantum Neural Networks
Advanced Quantum Technologies, EarlyView., 2023 Randomly dropping artificial neurons and all their connections in the training phase reduces overfitting issues in classical neural networks, thus improving performances on previously unseen data. The authors introduce different dropout strategies applied to quantum neural networks, learning models based on parametrized quantum circuits.
Francesco Scala +3 more
wiley +1 more source