Results 101 to 110 of about 48,907 (262)
Continued fraction expansions of algebraic numbers
In this paper we establish properties of independence for the continued fraction expansions of two algebraic numbers. Roughly speaking, if the continued fraction expansions of two irrational algebraic numbers have the same long sub-word, then the two continued fraction expansions have the same tails.
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A hierarchical porous copper current collector is fabricated via three‐dimensional printing combined with pressureless sintering to stabilize lithium metal anodes. The interconnected architecture lowers local current density, guides uniform Li deposition within pores, and suppresses dendrite growth.
Alok Kumar Mishra, Mukul Shukla
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The presented study focuses on the fracture behaviour of carbon‐bonded magnesia MgO–C refractories, where environmentally friendly fructose, collagen and lignin serve as temporary binding agents. The partial substitution of the source material with recycled MgO–C reduces the fracture resistance, which can be counteracted by the additional introduction ...
Marc Neumann +6 more
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Effect of Laser Deoxidation on Adhesive‐Bonded Aluminum in an Oxygen‐Free Atmosphere
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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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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Thermophysical Properties of the Desulphurization Slags With Various CaS and CaO/Al2O3 Ratio
This article investigates how CaS content and the CaO/Al2O3 ratio influence the thermophysical properties of desulphurization slags. Using experimental measurements and thermodynamic simulations, this study reveals complex effects on viscosity, surface tension, and density, providing new insight into slag structure and phase behavior under ...
Eldar Salpagarov +4 more
wiley +1 more source
Ankeny–Artin–Chowla Conjecture and Continued Fraction Expansion
For any prime \(p\) congruent to 1 modulo 4, let \(\varepsilon_p= (t_p+ u_p \sqrt{p})/2\) be the fundamental unit of the real quadratic field \(\mathbb{Q}(\sqrt{p})\). In this paper, the author investigates some relations between Ankeny, Artin and Chowla conjecture on \(\varepsilon_p\) and the continued fraction expansion of \((1+\sqrt{p})/2\), and ...
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This study investigates laser‐based oxide removal of Cu inserts in oxygen‐free conditions and examines long‐term oxidation kinetics and surface chemistry under different atmospheres via X‐ray photoelectron spectroscopy. Al–Cu compound casting with differently oxidized surfaces is performed, and intermetallic phase formation, morphology, and thermal ...
Timon Steinhoff +9 more
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The wettability of aluminum droplets (Al) on different copper substrates (Cu), where liquid Al spreads on solid Cu surfaces to form a liquid–solid interface, is studied numerically and experimentally. The experimental and numerical results show good agreement in the fast‐spreading regime.
Shan Lyu +8 more
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