Results 21 to 30 of about 14,702 (264)

The Genus Field and Genus Number in Algebraic Number Fields [PDF]

Nagoya Mathematical Journal, 1967
Let k be an algebraic number field and K be its normal extension of finite degree. Then the genus field K* of K over k is defined as the maximal unramified extension of K which is obtained from K by composing an abelian extension over k2). We call the degree (K*: K) the genus number of K over k.
openaire   +2 more sources

The nilpotent structure of open-closed string field theory

Journal of High Energy Physics, 2023
In this note we revisit the homotopy-algebraic structure of oriented bosonic open-closed string field theory and we give a new compact formulation in terms of a single cyclic open-closed co-derivation which defines a single nilpotent structure describing
Carlo Maccaferri, Alberto Ruffino, Jakub Vošmera   +2 more
doaj   +1 more source

On the Genus Field in Algebraic Number Fields

Tokyo Journal of Mathematics, 1983
Sei \(K/k\) eine endliche galoissche Erweiterung algebraischer Zahlkörper, \(\mathfrak M\) ein Modul von \(K\) (der unendliche Primstellen enthalten kann), \(K(\mathfrak M)\) der Strahlklassenkörper von \(K \bmod {\mathfrak M}\), \(E/k\) die maximale abelsche Erweiterung in \(K(\mathfrak M)\) und \(K^*(\mathfrak M) = E\cdot K\); \(K^*(\mathfrak M ...
openaire   +3 more sources

Quantum spectral curve as a tool for a perturbative quantum field theory

Nuclear Physics B, 2015
An iterative procedure perturbatively solving the quantum spectral curve of planar N=4 SYM for any operator in the sl(2) sector is presented. A Mathematica notebook executing this procedure is enclosed.
Christian Marboe, Dmytro Volin
doaj   +1 more source

Organic Materials of Tomorrow: Horizons of Artificial Intelligence

Advanced Materials, EarlyView.
This review examines machine learning techniques accelerating the discovery of organic semiconductors by linking molecular structure to properties. Key methods include graph neural networks, generative models, and active learning. Applications to organic photovoltaics demonstrate practical impact.
Harold Mena, J. Terence Blaskovits, Kun‐Han Lin, Denis Andrienko   +3 more
wiley   +1 more source

Units in families of totally complex algebraic number fields

International Journal of Mathematics and Mathematical Sciences, 2004
Multidimensional continued fraction algorithms associated with GLn(ℤk), where ℤk is the ring of integers of an imaginary quadratic field K, are introduced and applied to find systems of fundamental units in families of totally complex algebraic number ...
L. Ya. Vulakh
doaj   +1 more source

Energy Management through Heat Integration: a Simple Algorithmic Approach for Introducing Pinch Analysis

Sultan Qaboos University Journal for Science, 2015
Pinch analysis is a methodology used for minimizing energy and material consumption in engineering processes. It features the identification of the pinch point and minimum external resources.
Nasser A. Al-Azri
doaj   +1 more source

Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots

Advanced Robotics Research, EarlyView.
A new mechanical model of a tendon‐actuated helical extension spring joint in surgical robots is built using Cosserat rod theory. The model can implicitly handle the unknown contacts between adjacent coils and numerically predict spring shapes from straight to significantly bent under actuation forces.
Botian Sun, Liang Zhang, Jianwen Zeng, Xuefeng Wang   +3 more
wiley   +1 more source

A Perspective on Interactive Theorem Provers in Physics

Advanced Science, EarlyView.
Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley   +1 more source

Generalized Matrix Spectral Factorization with Symmetry and Construction of Quasi-Tight Framelets over Algebraic Number Fields

Mathematics
The rational field Q is highly desired in many applications. Algorithms using the rational number field Q algebraic number fields use only integer arithmetics and are easy to implement.
Ran Lu
doaj   +1 more source