Results 81 to 90 of about 402,561 (332)

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

Junction Type Representations of the Temperley-Lieb Algebra and Associated Symmetries

Symmetry, Integrability and Geometry: Methods and Applications, 2010
Inspired by earlier works on representations of the Temperley-Lieb algebra we introduce a novel family of representations of the algebra. This may be seen as a generalization of the so called asymmetric twin representation.
Anastasia Doikou, Nikos Karaiskos
doaj   +1 more source

Coherent states for a quantum particle on a circle

, 1998
The coherent states for the quantum particle on the circle are introduced. The Bargmann representation within the actual treatment provides the representation of the algebra $[\hat J,U]=U$, where $U$ is unitary, which is a direct consequence of the ...
Ali M K, Bargmann V, Barut A O, Bogoliubov N N, Celeghini E, De Bièvre S, DeWitt-Morette C, Emch G G, Isham C J, J Rembielinski, K Kowalski, L C Papaloucas, Louisell W H, Perelomov A M, Pradhan T, Rideau G, Whittaker E T, Woronowicz S L   +17 more
core   +1 more source

Multiscale Cell–Cell Interactive Spatial Transcriptomics Analysis

Advanced Science, EarlyView.
In this study, we present the MultiScale Cell‐Cell Interactive Spatial Transcriptomics Analysis method, which unites the strengths of spatially resolved deep learning techniques with a topological representation of multi‐scale cell‐cell similarity relations.
Sean Cottrell, Guo‐Wei Wei
wiley   +1 more source

Multinomial fix-Mahonian statistics [PDF]

Surveys in Mathematics and its Applications
The permutation statistics fix, des, maj, and inv have different original contexts, and appear in diverse scientific domains such as probability, physics, and genomics.
Hery Randriamaro
doaj  

Ring homomorphisms on real Banach algebras

International Journal of Mathematics and Mathematical Sciences, 2003
Let B be a strictly real commutative real Banach algebra with the carrier space ΦB. If A is a commutative real Banach algebra, then we give a representation of a ring homomorphism ρ:A→B, which needs not be linear nor continuous.
Takeshi Miura, Sin-Ei Takahasi
doaj   +1 more source

Discretization of Virasoro Algebra

, 1993
A $q$-discretization of \vi\ algebra is studied which reduces to the ordinary \vi\ algebra in the limit of $q \ra 1$. This is derived starting from the Moyal bracket algebra, hence is a kind of quantum deformation different from the quantum groups ...
Aizawa, Bakas, Chaichian, Chaichian, Chari, Curtright, Câteau, Davies, Devchand, Drinfel'd, Drinfel'd, Fairlie, Fairlie, Frenkel, Hiro-oka, Moyal, Polychronakos, Pope, Ryuji Kemmoku, Saito, Sato, Satoru Saito   +21 more
core   +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

On Representations of sl(n, C) Compatible with a Z2-grading

Acta Polytechnica, 2010
This paper extends existing Lie algebra representation theory related to Lie algebra gradings. The notion of a representation compatible with a given grading is applied to finite-dimensional representations of sl(n,C) in relation to its Z2-gradings.
M. Havlíček, E. Pelantová, J. Tolar
doaj  

Strength of convergence and multiplicities in the spectrum of a C*-dynamical system

, 2006
We consider separable $C^*$-dynamical systems $(A,G,\alpha)$ for which the induced action of the group $G$ on the spectrum $\hat A$ of the $C^*$-algebra $A$ is free.
An Huef, Astrid, Robert Archbold
core   +3 more sources