Results 1 to 10 of about 6,172,645 (106)
A class of solutions of the equation d(n²) = d(φ(n)) [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 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
doaj +1 more source
The mean value of the function d(n)/d*(n) in arithmetic progressions [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 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
doaj +1 more source
Gauged D = 4 N $$ \mathcal{N} $$ = 4 supergravity
Journal of High Energy Physics, 2023 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
doaj +1 more source
4d N $$ \mathcal{N} $$ = 1 from 6d D-type N $$ \mathcal{N} $$ = (1, 0)
Journal of High Energy Physics, 2020 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
doaj +1 more source
N-(1-Deoxy-α-d-tagatopyranos-1-yl)-N-methylaniline (“d-Tagatose-N-methylaniline”)
Molbank, 2018 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
doaj +1 more source
All basic quantizations of $$D=3$$ D = 3 , $$N=1$$ N = 1 Lorentz supersymmetry
European Physical Journal C: Particles and Fields, 2023 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
doaj +1 more source
Atoms, 2019 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
doaj +1 more source
Wilson loops in N $$ \mathcal{N} $$ = 4 SO(N) SYM and D-branes in AdS5 × ℝℙ5
Journal of High Energy Physics, 2021 We study the half-BPS circular Wilson loop in N $$ \mathcal{N} $$ = 4 super Yang-Mills with orthogonal gauge group. By supersymmetric localization, its expectation value can be computed exactly from a matrix integral over the Lie algebra of SO(N).
Simone Giombi, Bendeguz Offertaler
doaj +1 more source
Electrochemistry, 2023 Oligosaccharides and polysaccharides containing glucosamine are abundant and essential for many living species, including plants, fungi, insects, and other organisms.
Md Azadur RAHMAN +5 more
doaj +1 more source
4-(Benzo[d]thiazol-2-yl)-N,N-dimethylaniline
IUCrData, 2016 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
doaj +1 more source