Results 51 to 60 of about 190,067 (305)

Solution of the classical Yang–Baxter equation with an exotic symmetry, and integrability of a multi-species boson tunnelling model

open access: yesNuclear Physics B, 2017
Solutions of the classical Yang–Baxter equation provide a systematic method to construct integrable quantum systems in an algebraic manner. A Lie algebra can be associated with any solution of the classical Yang–Baxter equation, from which commuting ...
Jon Links
doaj   +1 more source

A Direct Elliptic Solver Based on Hierarchically Low-rank Schur Complements

open access: yes, 2016
A parallel fast direct solver for rank-compressible block tridiagonal linear systems is presented. Algorithmic synergies between Cyclic Reduction and Hierarchical matrix arithmetic operations result in a solver with $O(N \log^2 N)$ arithmetic complexity ...
A. Aminfar   +13 more
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

On computable subgroups of the group of all unitriangular matrices over a ring

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2017
The problems of existence and uniqueness of computable numberings are fundamental in theory of computably numbered groups. In connection with the development of the theory of algorithms a study of the problems of computability of important classes of ...
R.K. Tyulyubergenev
doaj   +1 more source

Free Random Levy Variables and Financial Probabilities

open access: yes, 2001
We suggest that Free Random Variables, represented here by large random matrices with spectral Levy disorder, may be relevant for several problems related to the modeling of financial systems.
Bercovici   +15 more
core   +2 more sources

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

Numerical Solutions of Coupled Systems of Fractional Order Partial Differential Equations

open access: yesAdvances in Mathematical Physics, 2017
We develop a numerical method by using operational matrices of fractional order integrations and differentiations to obtain approximate solutions to a class of coupled systems of fractional order partial differential equations (FPDEs).
Yongjin Li, Kamal Shah
doaj   +1 more source

Consensus-Based Formation of Second-Order Multi-Agent Systems via Linear-Transformation-Based Partial Stability Approach

open access: yesIEEE Access, 2019
The paper studies the time-invariant formation problem of second-order multi-agent systems under a time-invariant directed communication topology. Extensions of the consensus protocol are introduced in the formation control.
Xiaojun Qu   +3 more
doaj   +1 more source

Semidefinite programming in matrix unknowns which are dimension free

open access: yes, 2011
One of the main applications of semidefinite programming lies in linear systems and control theory. Many problems in this subject, certainly the textbook classics, have matrices as variables, and the formulas naturally contain non-commutative polynomials
Helton, J. William   +2 more
core   +1 more source

Physical Origin of Temperature Induced Activation Energy Switching in Electrically Conductive Cement

open access: yesAdvanced Science, EarlyView.
The temperature‐induced Arrhenius activation energy switching phenomenon of electrical conduction in electrically conductive cement originates from structural degradation within the biphasic ionic‐electronic conduction architecture and shows percolation‐governed characteristics: pore network opening dominates the low‐percolation regime with downward ...
Jiacheng Zhang   +7 more
wiley   +1 more source

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