Results 21 to 30 of about 816 (183)

On nth commutativity degree of some 3-Engel groups [PDF]

, 2012
This paper focuses on some 3-Engel groups. Suppose x and y are elements of a group G. The commutativity degree of a group is the probability that two elements in the group commute and is denoted by P(G).
Johari, N. A., Sarmin, Nor Haniza, Nor Azwin Johari, Mohd. Ali, N. M., Nor Haniza Sarmin, Zakaria, M., Mardhiah Zakaria, Yahya, Zainab, Sarmin, N. H., Muhammad Syafiq Sabani, Sabani, M. S., Zainab Yahya, Zakaria, Mardhiah, Sabani, Muhammad Syafiq, Yahya, Z., Nor Muhainiah Mohd Ali, Mohd. Ali, Nor Muhainiah   +16 more
core   +1 more source

The cubed commutativity degree of dihedral groups

, 2016
Let G be a finite group. The commutativity degree of a 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 ...
Hamid, M. A., Erfanian, A., Ahmad Erfanian, Nor Haniza Sarmin, Ali, N. M. M., Nor Muhainiah Mohd Ali, Muhanizah Abdul Hamid, Sarmin, N. H.   +7 more
core   +1 more source

On Commutativity Degree of Crossed Modules

Kragujevac Journal of Mathematics
In this paper, we define and study the notion of commutativity degree of finite crossed modules. We shall state some results concerning commutativity degree of crossed modules and obtain some upper and lower bounds for commutativity degree of finite crossed modules.
Amini, Somayeh, Heidarian, Shahram, Haghani, Farhad Khaksar   +2 more
openaire   +2 more sources

Updatable Closed‐Form Evaluation of Arbitrarily Complex Multiport Network Connections

Advanced Electronic Materials, EarlyView.
The inverse design of electrically large wave devices often uses reduced‐order multiport models with discrete optimization, requiring many evaluations of complex interconnections between subsystems that differ only in a few blocks. This paper introduces a closed‐form framework enabling efficient Woodbury low‐rank updates of related, previous ...
Hugo Prod'homme, Philipp del Hougne
wiley   +1 more source

The commutativity degree of some nonabelian two-groups with a cyclic subgroup of index four [PDF]

, 2014
The determination of the abelianness of a finite group has been introduced for symmetric groups, finite groups and finite rings in the last fifty years.
Mohammed Hussein Saleh, Haitham
core  

FIRE‐GNN: Force‐Informed, Relaxed Equivariance Graph Neural Network for Rapid and Accurate Prediction of Surface Properties

Advanced Intelligent Discovery, EarlyView.
This study introduces FIRE‐GNN, a force‐informed, relaxed equivariant graph neural network for predicting surface work functions and cleavage energies from slab structures. By incorporating surface‐normal symmetry breaking and machine learning interatomic potential‐derived force information, the approach achieves state‐of‐the‐art accuracy and enables ...
Circe Hsu, Claire Schlesinger, Karan Mudaliar, Jordan Leung, Robin Walters, Peter Schindler   +5 more
wiley   +1 more source

Relative commutativity degree of some dihedral groups

, 2013
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., Nor Haniza Sarmin, Abd. Manaf, F. N., Nor Muhainiah Mohd Ali, Muhanizah Abdul Hamid, Sarmin, N. H., Fadila Normahia Abd Manaf, Abdul Hamid, M.   +7 more
core   +1 more source

A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws

Advanced Intelligent Discovery, EarlyView.
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows, G. Zhang, S. Anand, Z. Chen, J. Lin, A. Desai, S. Martiniani, F. Caravelli   +7 more
wiley   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Advances in Position‐Momentum Entanglement: A Versatile Tool for Quantum Technologies

Laser &Photonics Reviews, EarlyView.
Position–momentum entanglement constitutes a high‐dimensional continuous‐variable resource in quantum optics. Recent advances in its generation, characterization, and control are reviewed, with emphasis on spontaneous parametric down‐conversion and modern measurement techniques.
Satyajeet Patil, Rajshree Swarnkar, Jonas L. Moos, Sebastian Töpfer, Sergio Tovar‐Pérez, Jorge Fuenzalida, Markus Gräfe   +6 more
wiley   +1 more source