Results 131 to 140 of about 419,531 (350)
, 1995 Let T be a non-equilateral triangle. We prove that the number of non-similar triangles Δ such that T can be dissected into triangles similar to Δ is at most 6.
Laczkovich, M.
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A Dislocation Perspective on Strength and Toughness in Ceramics
Advanced Engineering Materials, EarlyView.Dislocations in ceramics enjoy a long but yet under‐appreciated history. The three research waves for dislocations in ceramics highlight the topic evolution over the last 90 years. This review focuses on the impact of dislocation on strength and toughness in ceramics.
Xufei Fang
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FORCING QUASIRANDOMNESS WITH TRIANGLES
Forum of Mathematics, Sigma, 2019 We study forcing pairs for quasirandom graphs. Chung, Graham, and Wilson initiated the study of families ${\mathcal{F}}$ of graphs with the property that if a large graph $G$ has approximately homomorphism density $p^{e(F)}$ for some fixed $p\in (0,1 ...
CHRISTIAN REIHER, MATHIAS SCHACHT
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Tilings with noncongruent triangles [PDF]
, 2018 We solve a problem of R. Nandakumar by proving that there is no tiling of the plane with pairwise noncongruent triangles of equal area and equal perimeter.
János Pach +5 more
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Advanced Engineering Materials, EarlyView.This work shows that the mechanical performance of multimaterial digital light processing (DLP) printed thermoset composites is governed by resin compatibility and interfacial design rather than spatial patterning alone. Brittle and ductile resin combinations produced premature interfacial failure, while graded interfaces and mechanically compatible ...
Ahmed M. H. Ibrahim +3 more
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Triangles and Pell’s equation [PDF]
, 2022 In a WhatsApp group of Math enthusiasts, a question was posed some time ago: 13,14,15 are the sides of a triangle with rational area and side lengths that are consecutive integers. Can we find more such triangles?
Mouli, Haran
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Counterion Dependent Side‐Chain Relaxation Stiffens a Chemically Doped Thienothiophene Copolymer
Advanced Functional Materials, EarlyView.Oxidation of a thienothiophene copolymer, p(g3TT‐T2), via different doping strategies and dopant molecules resulted in materials with similar oxidation levels and a high electrical conductivity of ≈100 S cm−1. However, mechanical properties varied significantly, with sub‐glass transition temperatures and elastic moduli spanning from –44°C to –3°C and ...
Mariavittoria Craighero +12 more
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Rational cuboids and Geron triangles
Lietuvos Matematikos Rinkinys, 2018 The problem of existence of rational cuboids is considered in the article. Equivalent statements of this problem are obtained which lead to the existence of Heron’s triangles whose lengths are integral squares and satisfy other additional conditions ...
Edmundas Mazėtis +1 more
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, 2023 In this article we make the concept of a continuous family of triangles precise and prove the moduli functor classifying oriented triangles admits a fine moduli space but the functor classifying non-oriented triangles only admits a coarse moduli space ...
Chen, Yining
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Advanced Functional Materials, EarlyView.In MOCVD MoS2 memristors, a current compliance‐regulated Ag filament mechanism is revealed. The filament ruptures spontaneously during volatile switching, while subsequent growth proceeds vertically through the MoS2 layers and then laterally along the van der Waals gaps during nonvolatile switching.
Yuan Fa +19 more
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