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A class of solutions of the equation d(n²) = d(φ(n)) [PDF]
For any positive integer n let d(n) and φ(n) be the number of divisors of n and the Euler's phi function of n, respectively. In this paper we present some notes on the equation d(n²) = d(φ(n)).
Zahra Amroune +2 more
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The mean value of the function d(n)/d*(n) in arithmetic progressions [PDF]
Let d(n) and d*(n) be, respectively, the number of divisors and the number of unitary divisors of an integer n≥1. A divisor d of an integer is to be said unitary if it is prime over n/d.
Ouarda Bouakkaz, Abdallah Derbal
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Gauged D = 4 N $$ \mathcal{N} $$ = 4 supergravity
We present the full Lagrangian and supersymmetry transformation rules for the gauged D = 4, N $$ \mathcal{N} $$ = 4 (half-maximal) supergravity coupled to an arbitrary number of vector multiplets. Using the embedding tensor formulation, the final results
G. Dall’Agata +3 more
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4d N $$ \mathcal{N} $$ = 1 from 6d D-type N $$ \mathcal{N} $$ = (1, 0)
Compactifications of 6d N $$ \mathcal{N} $$ = (1, 0) SCFTs give rise to new 4d N $$ \mathcal{N} $$ = 1 SCFTs and shed light on interesting dualities between such theories.
Jin Chen +3 more
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All basic quantizations of $$D=3$$ D = 3 , $$N=1$$ N = 1 Lorentz supersymmetry
By the supersymmetrization of a simple algebraic technique proposed in Lukierski and Tolstoy (Eur Phys J C 77:226, 2017) we obtain the complete classification of all basic (nonisomorphic) quantum deformations for the orthosymplectic Lie superalgebra ...
V. N. Tolstoy
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N-(1-Deoxy-α-d-tagatopyranos-1-yl)-N-methylaniline (“d-Tagatose-N-methylaniline”)
Tagatosamines form in thermally-processed dairy products and contribute to the foods’ organoleptic and nutritional value. d-Tagatose-N-methylaniline (N-(1-deoxy-d-tagatos-1-yl)-N-methylaniline, 1-deoxy-1-(N-methylphenylamino)-d-tagatose) was synthesized ...
Valeri V. Mossine +2 more
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$$\theta $$ θ -diagram technique for $${\mathcal {N}}=1$$ N = 1 , $$d=4$$ d = 4 superfields
We describe a diagrammatic procedure to carry out the Grassmann integration in super-Feynman diagrams of 4d theories expressed in terms of $${\mathcal {N}}=1$$ N = 1 superfields. This method is alternative to the well known D-algebra approach. We develop
D. Bason, M. Billò
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Results presented in this paper show a regular behaviour of Stark widths within the studied spectral series of potassium isoelectronic sequence. These regularities have been found and verified on the basis of the existing theoretical and experimental ...
Nora Trklja +3 more
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A Historical Writing Apprenticeship for Adolescents: Integrating Disciplinary Learning With Cognitive Strategies [PDF]
This study explored the extent to which an 18â day history and writing curriculum intervention, taught over the course of one year, helped culturally and academically diverse adolescents achieve important disciplinary literacy learning in history ...
Croninger, Robert +5 more
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4-(Benzo[d]thiazol-2-yl)-N,N-dimethylaniline
The whole molecule of the title compound, C15H14N2S, is approximately planar, with an r.m.s. deviation of 0.0382 Å from the best-fit mean plane through all 18 non-H atoms.
Yi-Wen Tang +4 more
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