Results 81 to 90 of about 111,899 (306)
Commutator width in the first Grigorchuk group [PDF]
Groups, Geometry, and Dynamics, 2017 Let $G$ be the first Grigorchuk group. We show that the commutator width of $G$ is $2$: every element $g\in [G,G]$ is a product of two commutators, and also of six conjugates of $a$.
L. Bartholdi, T. Groth, I. Lysenok
semanticscholar +1 more source
Dynamic Mosaicity Modulates Ion Transport in Stimuli‐Responsive Liquid Crystal Electrolytes
Advanced Science, EarlyView.Thermotropic ionic liquid crystals provide a tunable platform for dimensionally‐controlled soft electrolytes, where anisotropy, nanoconfinement, and dynamic mosaicity govern ion transport behavior. In situ and operando analyses reveal a direct correlation between dynamic mosaicity and mesoscopic conductivity.
Hélène Pung +11 more
wiley +1 more source
Universal elements of unitriangular matrices groups
Қарағанды университетінің хабаршысы. Математика сериясы, 2017 The following theorems are proved for a matrix g from the group of unitriangular matrices over a commutative and associative ring K of finite dimension of greater than three with unity: 1) if the matrix g is universal then all of its elements are on the
A.A. Konyrkhanova, N.G. Khisamiev
doaj +1 more source
Stable Commutator Length in Amalgamated Free Products
, 2014 We show that stable commutator length is rational on free products of free Abelian groups amalgamated over $\mathbb{Z}^k$, a class of groups containing the fundamental groups of all torus knot complements.
Susse, Timothy
core +2 more sources
Amphibious Generator via Mechanical Coupling for Versatile Energy Harvesting
Advanced Energy and Sustainability Research, EarlyView.An amphibious hybrid triboelectric nanogenerator–electromagnetic generator (TENG–EMG) efficiently harvests energy from wind and water. By integrating TENG and EMG units with a gear‐assisted mechanism, it enhances power output and powers small electronic devices.
Chi Zhang +7 more
wiley +1 more source
Stability Conditions for Perturbed Semigroups on a Hilbert Space via Commutators
Communications in Advanced Mathematical Sciences, 2019 Let $A$ and $B$ be linear operators on a Hilbert space. Let $A$ and $A+B$ generate $C_0$-semigroups $e^{tA}$ and $e^{t(A+B)}$, respectively, and $e^{tA}$ be exponentially stable.
Michael Gil'
doaj +1 more source
Some estimates for commutators of Littlewood-Paley g-functions
Open Mathematics, 2021 The aim of this paper is to establish the boundedness of commutator [b,g˙r]\left[b,{\dot{g}}_{r}] generated by Littlewood-Paley gg-functions g˙r{\dot{g}}_{r} and b∈RBMO(μ)b\in {\rm{RBMO}}\left(\mu ) on non-homogeneous metric measure space.
Lu Guanghui
doaj +1 more source
A sufficient condition for nilpotency of the commutator subgroup [PDF]
Siberian mathematical journal, 2016 Let G be a finite group with the property that if a and b are commutators of coprime orders, then |ab| = |a||b|. We show that G′ is nilpotent.
R. Bastos, P. Shumyatsky
semanticscholar +1 more source
Aggregate, EarlyView.A novel strategy is proposed to design and synthesize furan‐annulated naphthalenes for high‐performance memristive behaviors by introducing an electron acceptor (trifluoromethyl) or donor (methoxy). The former, with donor–acceptor pairs, demonstrates high‐performance bipolar digital memristive behaviors with multilevel storage characteristics.
Dehui Wang +8 more
wiley +1 more source
Information and Computation, 1987 A semi-commutation system \(S=\) is a semi-Thue system, where X is a finite alphabet and P is a set of production rules of the form xy\(\to yx\) for some x,y\(\in X\), \(x\neq y\). The corresponding semi-commutation is the map which assigns to every set \(R\subseteq X^*\) of words over X the set f(R) of all words over X which can be derived from some ...
M. Latteux, M. Clerbout
openaire +2 more sources