Results 51 to 60 of about 124,917 (284)

Traction Force Microscopy for Viscoelastic Substrates: A Semi‐Analytical Method

Advanced Science, EarlyView.
A semi‐analytical viscoelastic traction force microscopy framework is introduced for quantifying time‐resolved cell tractions on flat finite‐thickness substrates. The method generalizes elastic traction force microscopy to Generalized Maxwell materials, identifies when elastic approximations remain valid and, when they do not, shows that inferred ...
Adrià Villacrosa‐Ribas, Daniëlle C. A. Duffhues, Pim van den Bersselaar, Sarah Pragnere, Bart G. W. Groenen, Mariana Azevedo Gonzalez Oliva, Giuseppe Ciccone, Manuel Salmeron‐Sanchez, Carlijn V. C. Bouten, Jose J. Muñoz, Vito Conte   +10 more
wiley   +1 more source

Approximation of Homomorphisms and Derivations on non-Archimedean Lie C∗-Algebras via Fixed Point Method

Discrete Dynamics in Nature and Society, 2012
Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in C∗-algebras and Lie C∗-algebras and of derivations on non-Archimedean C∗-algebras and Non-Archimedean Lie C∗-algebras for an m-variable additive functional ...
Yeol Je Cho, Reza Saadati, Javad Vahidi
doaj   +1 more source

Hom-algebras and homology [PDF]

, 2009
Classes of $G$-Hom-associative algebras are constructed as deformations of $G$-associative algebras along algebra endomorphisms. As special cases, we obtain Hom-associative and Hom-Lie algebras as deformations of associative and Lie algebras ...
Yau, Donald
core  

Distinct Biotypes of Visual Perception in Major Depressive Disorder

Advanced Science, EarlyView.
In a discover dataset (272 acute MDD patients), this work identifies a novel depression biotype characterized by impaired visual motion perception, using machine learning clustering. An independent dataset confirms the robustness of this biotype through cross‐validation and demonstrates its generalizability.
Zhuoran Cai, Xi‐Wen Hu, Yuyang Li, Zheng Lin, Yongjie Li, Yong‐Chun Cai, Tao Xu, Ke Jia, Jin‐Fang Han, Zhong‐Lin Tan, Dezhong Yao, Xue Mei Song, Sugai Liang, Georg Northoff   +13 more
wiley   +1 more source

On Free Pseudo-Product Fundamental Graded Lie Algebras

Symmetry, Integrability and Geometry: Methods and Applications, 2012
In this paper we first state the classification of the prolongations of complex free fundamental graded Lie algebras. Next we introduce the notion of free pseudo-product fundamental graded Lie algebras and study the prolongations of complex free pseudo ...
Tomoaki Yatsui
doaj   +1 more source

Fixed Points and Stability of the Cauchy Functional Equation in C∗-Algebras

Fixed Point Theory and Applications, 2009
Using the fixed point method, we prove the generalized Hyers-Ulam stability of homomorphisms in C∗-algebras and Lie C∗-algebras and of derivations on C∗-algebras and Lie C∗-algebras for the Cauchy functional equation.
Choonkil Park
doaj   +1 more source

Lie algebras of triangular polynomial derivations and an isomorphism criterion for their Lie factor algebras

, 2012
The ideals of the Lie algebras of unitriangular polynomial derivations are classified. An isomorphism criterion is given for the Lie factor algebras of the Lie algebras of unitriangular polynomial derivations.Comment: 33 ...
B. Rotman, V V Bavula, V. V. Bavula, V. V. Bavula, V. V. Bavula, V. V. Bavula   +5 more
core   +1 more source

Algebraic Lie Algebra Bundles and Derivations of Lie Algebra Bundles

International Electronic Journal of Algebra
In this paper, we define algebraic Lie algebra bundles, discuss some results on algebraic Lie algebra bundles and derivations of Lie algebra bundles. Some results involving inner derivations and central derivations of Lie algebra bundles are obtained.
MONİCA, M. V., RAJENDRA, R
openaire   +2 more sources

The Lie Conformal Algebra of a Block Type Lie Algebra [PDF]

Algebra Colloquium, 2015
Let L be a Lie algebra of Block type over ℂ with basis {Lα,i | α,i ∈ ℤ} and brackets [Lα,i,Lβ,j]=(β(i+1)-α(j+1)) Lα+β,i+j. In this paper, we first construct a formal distribution Lie algebra of L. Then we decide its conformal algebra B with ℂ[∂]-basis {Lα(w) | α ∈ ℤ} and λ-brackets [Lα(w)λ Lβ(w)]= (α∂+(α+β)λ) Lα+β(w). Finally, we give a classification
Gao, Ming, Xu, Ying, Yue, Xiaoqing
openaire   +1 more source

Ultra‐Wide‐Field Noninvasive Imaging Through Scattering Media Via Physics‐Guided Deep Learning

Advanced Science, EarlyView.
We propose a physics‐guided adaptive dual‐domain learning method for ultra‐wide‐field noninvasive imaging through scattering media, namely UNI‐Net. Our method not only reduces the requirement for real experimental data by an order of magnitude but also enables clear imaging of complex scenes with an ultra‐large field of view, which is 164 times the OME
Lintao Peng, Mingwei He, Jeff Zhu, Sujit K. Sahoo, Liheng Bian, Cuong Dang   +5 more
wiley   +1 more source