Results 31 to 40 of about 2,562,424 (201)
Electric–magnetic dualities in non-abelian and non-commutative gauge theories
Nuclear Physics B, 2016 Electric–magnetic dualities are equivalence between strong and weak coupling constants. A standard example is the exchange of electric and magnetic fields in an abelian gauge theory.
Jun-Kai Ho, Chen-Te Ma
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THE SUBGROUP COMMUTATIVITY DEGREE OF FINITE -GROUPS [PDF]
Bulletin of the Australian Mathematical Society, 2015 The subgroup commutativity degree of a group $G$ is the probability that two subgroups of $G$ commute, or equivalently that the product of two subgroups is again a subgroup. For the dihedral, quasi-dihedral and generalised quaternion groups (all of 2-power cardinality), the subgroup commutativity degree tends to 0 as the size of the group tends to ...
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On Commutativity Degree of Crossed Modules
Kragujevac Journal of MathematicsIn 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 +2 more
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Characterizing Lie Algebra Structure via the Commutativity Degree
Journal of MathematicsThe aim of this paper is to determine the possible values of the commutativity degree of Lie algebras. We define the asymptotic commutativity degree of Lie algebras and obtain the asymptotic commutativity degree for some of them.
Afsaneh Shamsaki +2 more
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On commutative algebras of degree two [PDF]
Transactions of the American Mathematical Society, 1962 Let 9 be a simple, commutative, power-associative algebra of degree 2 over an algebraically closed field a of characteristic not equal to 2, 3 or 5. The degree of 9 is defined to be the number of elements in the maximal set of pairwise orthogonal idempotents in W. This algebra has a unit element 1 [1, Theorem 3].
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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
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
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. +16 more
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Advanced Science, EarlyView.This work reports on epitaxially grown Hf0.52Zr0.48O2 ferroelectric memristors with high stability (high durability exceeding 108 cycles and a retention time exceeding 104 s for 16 states) and ultra‐low operating energy consumption (∼121 fJ). A memristor array‐based reservoir computing system is constructed and applied for the first time in the field ...
Ying Liu +6 more
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Lithium Niobate Electro‐Optic Photonic Processor for Variational Quantum Eigensolver
Advanced Science, EarlyView.An integrated lithium‐niobate‐on‐insulator ququart processor implements an electro‐optically controlled photonic variational quantum eigensolver using single photons encoded in four path modes. Bell‐basis‐emulating ququart projective measurements reduce measurement settings while achieving chemical‐accuracy‐level molecular‐energy estimation.
Jinil Lee +11 more
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