Results 51 to 60 of about 15,100,817 (309)

Computation of the Euclidean minimum of algebraic number fields [PDF]

open access: yes, 2014
30 pages, shorter version, with many typos fixedInternational audienceWe present an algorithm to compute the Euclidean minimum of an algebraic number field, which is a generalization of the algorithm restricted to the totally real case described by Cerri.
Pierre Lezowski, Lezowski, Pierre
core   +1 more source

Organic Materials of Tomorrow: Horizons of Artificial Intelligence

open access: yesAdvanced 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   +3 more
wiley   +1 more source

Artificial Intelligence Meets Micro/Nanorobotics

open access: yesAdvanced Materials, EarlyView.
Artificial intelligence is transforming micro‐ and nanorobots from externally controlled, task‐specific machines into adaptive, autonomous systems. Machine learning, multimodal perception, digital twins, AI‐guided materials and geometry design enhance propulsion, localization, decision‐making, whichaccelerates clinical and environmental applications ...
Fatma M. Yurtsever   +6 more
wiley   +1 more source

Units in families of totally complex algebraic number fields

open access: yesInternational 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

Algebraic Properties of Chromatic Polynomials and Their Roots [PDF]

open access: yes, 2015
In this thesis we examine chromatic polynomials from the viewpoint of algebraic number theory. We relate algebraic properties of chromatic polynomials of graphs to structural properties of those graphs for some simple families of graphs.
Gilmore, Hamish Julian
core  

A short history of algebraic statistics [PDF]

open access: yes, 2008
In algebraic statistics, computational techniques from algebraic geometry become tools to address statistical problems. This, in turn, may prompt research in algebraic geometry. The basic ideas at the core of algebraic statistics will be presented. In
Eva Riccomagno, Riccomagno, Eva
core   +1 more source

Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots

open access: yesAdvanced 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   +3 more
wiley   +1 more source

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

open access: yesSultan 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

A Perspective on Interactive Theorem Provers in Physics

open access: yesAdvanced 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

open access: yesMathematics
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

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