Results 51 to 60 of about 626,146 (282)
Sharp Bounds for the Signless Laplacian Spectral Radius in Terms of Clique Number [PDF]
, 2012 In this paper, we present a sharp upper and lower bounds for the signless Laplacian spectral radius of graphs in terms of clique number. Moreover, the extremal graphs which attain the upper and lower bounds are characterized.
Abraham Berman +5 more
core
Congruences for $q$-Lucas Numbers
The Electronic Journal of Combinatorics, 2013 For $\alpha,\beta,\gamma,\delta\in{\mathbb Z}$ and ${\rm\nu}=(\alpha,\beta,\gamma,\delta)$, the $q$-Fibonacci numbers are given by$$F_0^{{\rm\nu}}(q)=0,\ F_1^{{\rm\nu}}(q)=1\text{ and }F_{n+1}^{{\rm\nu}}(q)=q^{\alpha n-\beta}F_{n}^{{\rm\nu}}(q)+q^{\gamma n-\delta}F_{n-1}^{{\rm\nu}}(q)\text{ for }n\geq 1.$$And define the $q$-Lucas number $L_{n}^{{\rm\nu}
openaire +2 more sources
Advanced Engineering Materials, EarlyView.This study demonstrates how optimizing laser power, scanning speed, and hatching distance in laser powder bed fusion can boost the productivity of Inconel 718 manufacturing by up to 29% while maintaining mechanical integrity. The work delivers a validated process window and cost–time analysis, offering industry‐ready guidelines for efficient additive ...
Amir Behjat +7 more
wiley +1 more source
Communications in Advanced Mathematical Sciences, 2020 In this paper, dual Jacobsthal quaternions were defined. Also, the relations between dual Jacobsthal quaternions which connected with Jacobsthal and Jacobsthal-Lucas numbers were investigated. Furthermore, Binet's formula, Honsberger identity, D'ocagne'
Fügen Torunbalcı Aydın
doaj +1 more source
Interaction of Ladle Slag With Varying SiO2 Content and Recyclate‐Based MgO–C Refractories
Advanced Engineering Materials, EarlyView.Ladle slags (CaO/Al2O3 = 1) with 1–20 wt% SiO2 were investigated in contact with industrial MgO–C refractories fabricated from fresh magnesia and 50 wt% recyclate. The sessile drop method at 1600°C reveals intensive gas formation, delayed slag infiltration in recyclate‐based samples, and, under high‐SiO2 slag, formation of a dense MgAl2O4‐rich ...
Anton Yehorov +6 more
wiley +1 more source
Advanced Functional Materials, EarlyView.Here, we present a high‐density PEDOT eutectogel electrode array for enhanced body surface gastric mapping. Silver electrodes are blade‐coated onto flexible substrates, followed by electrogelation of PEDOT:PSS and the deposition of a PEDOT:LS eutectogel.
Christopher Slaughter +8 more
wiley +1 more source
q-Congruences, with applications to supercongruences and the cyclic sieving phenomenon
, 2019 We establish a supercongruence conjectured by Almkvist and Zudilin, by proving a corresponding $q$-supercongruence. Similar $q$-supercongruences are established for binomial coefficients and the Ap\'{e}ry numbers, by means of a general criterion ...
Gorodetsky, Ofir
core +1 more source
Advanced Functional Materials, EarlyView.Amorphous calcium phosphate (ACP) microparticles with long‐term and thermal stability are prepared with or without collagen using a scalable one‐pot spray‐drying process. Under simulated physiological conditions, they crystallize into biomimetic bone mineral and, when combined with collagen, form extrudable, fibrillar bone‐like 3D constructs.
Camila Bussola Tovani +13 more
wiley +1 more source
Non-Newtonian Pell and Pell-Lucas numbers
Journal of New Results in ScienceIn the present paper, we introduce a new type of Pell and Pell-Lucas numbers in terms of non-Newtonian calculus, which we call non-Newtonian Pell and non-Newtonian Pell-Lucas numbers, respectively.
Tülay Yağmur
doaj +1 more source
Binomial coefficients, Catalan numbers and Lucas quotients
, 2010 Let $p$ be an odd prime and let $a,m$ be integers with $a>0$ and $m \not\equiv0\pmod p$. In this paper we determine $\sum_{k=0}^{p^a-1}\binom{2k}{k+d}/m^k$ mod $p^2$ for $d=0,1$; for example, $$\sum_{k=0}^{p^a-1}\frac{\binom{2k}k}{m^k}\equiv\left(\frac{m^
C. J. Smyth +13 more
core +3 more sources