Results 71 to 80 of about 198,617 (274)
MOCK THETA FUNCTIONS AND QUANTUM MODULAR FORMS
Forum of Mathematics, Pi, 2013 Ramanujan’s last letter to Hardy concerns the asymptotic properties of modular forms and his ‘mock theta functions’. For the mock theta function $f(q)$, Ramanujan claims that as $q$ approaches an even-order $2k$ root of unity, we have $$\begin{eqnarray ...
AMANDA FOLSOM +2 more
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Advanced Engineering Materials, EarlyView.It is shown that laser ablation pretreatment under oxygen‐free conditions enables copper–aluminium bonding at significantly lower deformation degrees and improved properties compared to mechanical brushing. Laser ablation further increases interface contact area and induces favourable residual stress states and microstructural compatibility ...
Khemais Barienti +11 more
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Karpatsʹkì Matematičnì Publìkacìï, 2018 Let $\mathcal{A}^2$ be a class of analytic functions $f$ represented by power series of the from $$ f(z)=f(z_1,z_2)=\sum^{+\infty}_{n+m=0}a_{nm}z_1^nz^m_2$$ with the domain of convergence $\mathbb{T}=\{ z\in \mathbb{C}^2 \colon |z_1|1, k>0.
A.O. Kuryliak, V.L. Tsvigun
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Advanced Engineering Materials, EarlyView.Trace additions of Sn and Sr combined with a two‐step aging treatment are shown to enhance the microstructure and performance of Al–Zr–Sc conductor alloys. Strength and electrical conductivity increase concurrently through accelerated precipitation of fine Al3(Sc, Zr) precipitates and improved dislocation resistance, offering a cost‐effective pathway ...
Quan Shao +3 more
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Theta variation and spatiotemporal scaling along the septotemporal axis of the hippocampus
Frontiers in Systems Neuroscience, 2015 Hippocampal theta has been related to locomotor speed, attention, anxiety, sensorimotor integration and memory among other emergent phenomena. One difficulty in understanding the function of theta is that the hippocampus (HPC) modulates voluntary ...
Lauren L Long +2 more
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Reduction of Feynman integrals in the parametric representation III: integrals with cuts
European Physical Journal C: Particles and Fields, 2020 Phase space cuts are implemented by inserting Heaviside theta functions in the integrands of momentum-space Feynman integrals. By directly parametrizing theta functions and constructing integration-by-parts (IBP) identities in the parametric ...
Wen Chen
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Advanced Engineering Materials, EarlyView.Disordered (Fe50Co50)1−xPtx thin films exhibit a pronounced anomalous Nernst effect (ANE) with a strong composition dependence on both rigid and flexible substrates. The transverse thermoelectric response peaks near 22.5 at.% Pt, accompanied by enhanced αxy/σxy scaling, thermal transport, and ANE sensitivity.
Mojtaba Mohammadi +2 more
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From Algebro Geometric Solutions of the Toda Equation to Sato Formulas
AppliedMathWe know that the degeneracy of solutions to PDEs, given in terms of theta functions on Riemann surfaces, provides important results about particular solutions, as in the case of the NLS equation.
Pierre Gaillard
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Effect of Laser Deoxidation on Adhesive‐Bonded Aluminum in an Oxygen‐Free Atmosphere
Advanced Engineering Materials, EarlyView.This study investigates laser ablation of aluminum under oxygen‐free conditions. The goal is to produce oxide‐free substrates that enable improved adhesive bonding with epoxy. Optimized laser parameters (90% overlap, 300 µJ) combined with oxide‐free substrates result in the highest tensile strength of the adhesive bond.
Sandra Gerland +5 more
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Advanced Engineering Materials, EarlyView.This study investigates thermo‐chemical processes during high‐temperature testing of two commercial MgO‐C brick grades, one containing 47.5 wt.% MgO‐C recyclate. Using ETV, DTA/TG‐MS, XRD, and SEM/EDS/EBSD, mechanisms such as carbothermal reduction of magnesia, impurity incorporation into the secondary MgO surface layer, and calcium‐rich phase ...
Alexander Schramm +6 more
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