Results 161 to 170 of about 73,865 (284)
Hyperbolicity and fundamental groups of complex quasi‐projective varieties (III): Applications
Abstract This paper is Part III of a series of three. We begin by introducing the notion of h$h$‐special varieties, which can be seen as varieties “chain‐connected by the Zariski closures of entire curves.” We prove that if X$X$ is either a special smooth complex quasi‐projective variety in the sense of Campana or an h$h$‐special variety, then for any ...
Benoît Cadorel +2 more
wiley +1 more source
Commutativity Degree of Finite Groups
The commutativity degree of a group is the probability that two randomly selected (with replacement) elements of the group commute. We find bounds on the commutativity degree of a finite group, equate restricted values of commutativity degree to ...
Castelaz, Anna
core
Discrete homotopy hypothesis for n$n$‐types
Abstract We show that discrete and classical homotopy theories are equivalent after localizing at n$n$‐equivalences for any non‐negative integer n$n$. By constructing an explicit homotopy inverse to the graph nerve functor associating an n$n$‐fibrant cubical set to a graph, we are also able to give explicit computations of several previously unknown ...
Daniel Carranza, Krzysztof Kapulkin
wiley +1 more source
Summary: We exhibit with proof a ring of minimal order in which the commutator subset is not a subring.
openaire +2 more sources
Symmetry‐Guided Multifunctional Acoustic System Based on Mechanically Actuated Sonic Crystals
This study presents the design, simulation, and experimental validation of amultifunctional acoustic metamaterial based on rotationally engineered sonic crystals.By tuning cylinder orientations, controllable band gaps and six distinct functionalities—including switching, topological insulation, beam splitting, and logic operations—areachieved ...
Yuanyan Zhao +2 more
wiley +1 more source
The Precise Value of Commutativity Degree in Some Finite Groups
The commutativity degree of a finite ...
Kayvan Moradipour +2 more
core +1 more source
$k$-commutativity and measurement reduction for expectation values
We introduce a notion of commutativity between operators on a tensor product space, nominally Pauli strings on qubits, that interpolates between qubit-wise commutativity and (full) commutativity.
Sawaya, Nicolas +4 more
core
Relative commutativity degree of some dihedral groups
The commutativity degree of a finite group G was introduced by Erdos and Turan for symmetric groups, finite groups and finite rings in 1968. The commutativity degree, P(G), is defined as the probability that a random pair of elements in a group commute ...
Mohd. Ali, N. M. +7 more
core +1 more source
The squared commutativity degree of dihedral groups
The commutativity degree of a finite group is the probability that a random pair of elements in the group commute. Furthermore, the n-th power commutativity degree of a group is a generalization of the commutativity degree of a group which is defined as ...
Azhanie Sardangi
core

