Results 11 to 20 of about 150,415 (331)
10-commutator and 13-commutator [PDF]
Skew-symmetric sum of $N!$ compositions of $N$ vector fields in all possible order is called $N$-commutator. We construct 10-commutator and 13-commutator on a space of vector fields $Vect(3)$ and 10-commutator on a space of divergenceless vector fields $Vect_0(3).$
arxiv +3 more sources
Abstract People care about crime, with the spatial distribution of both actual and perceived crime affecting the local amenities from living in different areas and residential decisions. The literature finds that crime tends to happen close to the offender's residence, but does not clearly establish whether this is because the location ...
Tom Kirchmaier+2 more
openaire +4 more sources
Commutators and commutator subgroups of the Riordan group [PDF]
We calculate the derived series of the Riordan group. To do that, we study a nested sequence of its subgroups, herein denoted by $\mathcal G_k$. By means of this sequence, we first obtain the n-th commutator subgroup of the Associated subgroup. This fact allows us to get some related results about certain groups of formal power series and to complete ...
Luzón, Ana+2 more
openaire +3 more sources
Commutative–non-commutative dualities [PDF]
We show that it is in principle possible to construct dualities between commutative and non-commutative theories in a systematic way. This construction exploits a generalization of the exact renormalization group equation (ERG). We apply this to the simple case of the Landau problem and then generalize it to the free and interacting non-canonical ...
Scholtz, F.G.+2 more
openaire +3 more sources
On the Spectra of Commutators [PDF]
2. R. Godement, Les fonctions de type positif et la theorie des groupes, Trans. Amer. Math. Soc. vol. 63 (1948) pp. 1-84. 3. P. R. Halmos, Measure theory, New York, 1950. 4. R. J. Koch, Tulane University Dissertation, 1953. 5. L. H. Loomis, An introduction to abstract harmonic analysis, New York, 1953. 6. K.
C. R. Putnam
openalex +3 more sources
We describe a general framework for notions of commutativity based on enriched category theory. We extend Eilenberg and Kelly's tensor product for categories enriched over a symmetric monoidal base to a tensor product for categories enriched over a normal duoidal category; using this, we re-find notions such as the commutativity of a finitary algebraic
Garner, Richard, López Franco, Ignacio
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Between the enhanced power graph and the commuting graph
Abstract The purpose of this note is to define a graph whose vertex set is a finite group G $G$, whose edge set is contained in that of the commuting graph of G $G$ and contains the enhanced power graph of G $G$. We call this graph the deep commuting graph of G $G$.
Peter J. Cameron, Bojan Kuzma
wiley +1 more source
Semi-commutations and Partial commutations [PDF]
The aim of this paper is to show that a semi-commutation function can be expressed as the compound of a sequential transformation, a partial commutation function, and the reverse transformation. Moreover, we give a necessary and sufficient condition for the image of a regular language to be computed by the compound of two sequential functions and a ...
Clerbout, M., Roos, Y., Ryl, Isabelle
openaire +4 more sources
Conformal Interactions Between Matter and Higher‐Spin (Super)Fields
Abstract In even spacetime dimensions, the interacting bosonic conformal higher‐spin (CHS) theory can be realised as an induced action. The main ingredient in this definition is the model S[φ,h]$\mathcal {S}[\varphi ,h]$ describing a complex scalar field φ coupled to an infinite set of background CHS fields h, with S[φ,h]$\mathcal {S}[\varphi ,h ...
Sergei M. Kuzenko+2 more
wiley +1 more source
Benefits of Open Quantum Systems for Quantum Machine Learning
Quantum machine learning (QML), poised to transform data processing, faces challenges from environmental noise and dissipation. While traditional efforts seek to combat these hindrances, this perspective proposes harnessing them for potential advantages. Surprisingly, under certain conditions, noise and dissipation can benefit QML.
María Laura Olivera‐Atencio+2 more
wiley +1 more source