Results 81 to 90 of about 410,289 (280)
Advances in Applied Mathematics, 2016 We investigate the connection between lozenge tilings and domino tilings by introducing a new family of regions obtained by attaching two different Aztec rectangles. We prove a simple product formula for the generating functions of the tilings of the new regions, which involves the statistics as in the Aztec diamond theorem (Elkies, Kuperberg, Larsen ...
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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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Scientific ReportsThe excitation of terahertz plasmon modes in a graphene rectangle by normally incident linearly polarized electromagnetic wave has been theoretically studied. The complete electromagnetic approach based on formulation of the integral equations for sought-
K. V. Mashinsky +2 more
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, 2009 This article has been written for an educational magazine whose target audience consists of students and teachers of mathematics in universities, colleges and schools. It concerns a notion of duality between rectangles. A proof is given that only finitely many integral sided pairs of dual rectangles exist.
Everest, Graham, Griffiths, Jonny
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Advanced Engineering Materials, EarlyView.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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Stress Analysis of Four Kinds of Flexible T- typed Coupling Joint
Jixie chuandong, 2016 The corner- filleted flexural hinge,the elliptical- rectangle flexural hinge,the parabola- rectangle flexural hinge and the hyperbolic- rectangle flexural hinge are used in the structure of the flexible T-typed coupling joint.
Ren Ning, Wang Zhongying, Zhou Feng
doaj
A note on generalized convex functions
Journal of Inequalities and Applications, 2019 In the article, we provide an example for a η-convex function defined on rectangle is not convex, prove that every η-convex function defined on rectangle is coordinate η-convex and its converse is not true in general, define the coordinate (η1,η2) $(\eta
Syed Zaheer Ullah +2 more
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Advanced Engineering Materials, EarlyView.Carbon‐free inert anodes are essential for decarbonizing aluminum electrolysis. This study investigates a recyclate‐based MgO‐316L steel composite anode tested under galvanostatic Hall–Héroult conditions in cryolite at 1000°C. Microstructural analysis reveals selective MgO fluorination, spinel and oxide layer formation, electrolyte infiltration, and ...
Serhii Yaroshevskyi +7 more
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An analogue of Ryser's Theorem for partial Sudoku squares
, 2011 In 1956 Ryser gave a necessary and sufficient condition for a partial latin rectangle to be completable to a latin square. In 1990 Hilton and Johnson showed that Ryser's condition could be reformulated in terms of Hall's Condition for partial latin ...
Cameron, P. J. +2 more
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Advanced Engineering Materials, EarlyView.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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