Results 11 to 20 of about 220,587 (227)
Unimodular quadratic forms over global function fields
Journal of Number Theory, 1979 Larry J. Gerstein
semanticscholar +3 more sources
A Hasse principle for quadratic forms over function fields
, 2014 We describe the classical Hasse principle for the existence of nontrivial zeros for quadratic forms over number fields, namely, local zeros over all completions at places of the number field imply nontrivial zeros over the number field itself. We then go
R. Parimala
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Quadratic forms over quadratic extensions of generalized local fields
Journal of Algebra, 1988 In this paper the behaviour under quadratic extensions of special assumptions about Pfister forms is studied. Thus a field F is called n- local, \(n\geq 2\), if there are exactly 2 isometry classes of n-fold Pfister forms over F. \textit{K. Szymiczek} [J. Reine Angew. Math.
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Universal quadratic forms and elements of small norm in real quadratic fields
, 2015 For any positive integer M we show that there are infinitely many real quadratic fields that do not admit M-ary universal quadratic forms (without any restriction on the parity of their cross coefficients).Comment: 7 pages, slightly revised and expanded ...
Kala, Vítězslav
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A new construction of Moufang quadrangles of type E6, E7 and E8 [PDF]
, 2014 In the classification of Moufang polygons by J. Tits and R. Weiss, the most intricate case is by far the case of the exceptional Moufang quadrangles of type E6, E7 and E8, and in fact, the construction that they present is ad-hoc and lacking a deeper ...
Boelaert, Lien, De Medts, Tom
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On Fermat's equation over some quadratic imaginary number fields [PDF]
, 2018 Assuming a deep but standard conjecture in the Langlands programme, we prove Fermat's Last Theorem over $\mathbb Q(i)$. Under the same assumption, we also prove that, for all prime exponents $p \geq 5$, Fermat's equation $a^p+b^p+c^p=0$ does not have non-
Turcas, George
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Advanced Engineering Materials, EarlyView.Creep experiments at 900°C on coarse‐grained steel‐ceramic composites containing recycled magnesia reveal that higher ceramic volume fractions significantly enhance the creep resistance. Detailed EBSD investigations identify subgrain formation in the steel matrix as the dominant deformation mechanism.
Moritz Müller +6 more
wiley +1 more source
Surface Tension Measurement of Ti‐6Al‐4V by Falling Droplet Method in Oxygen‐Free Atmosphere
Advanced Engineering Materials, EarlyView.In this article, the temperature‐dependent surface tension of free falling, oscillating Ti‐6Al‐4V droplets is investigated in both argon and monosilane doped, oxygen‐free atmosphere. Droplet temperature and oscillation are captured with one single high‐speed camera, and the surface tension is calculated with Rayleigh's formula.
Johannes May +9 more
wiley +1 more source
Numerical Modeling of Tank Cars Carrying Hazardous Materials With and Without Composite Metal Foam
Advanced Engineering Materials, EarlyView.Large‐scale puncture models consisting of hazardous materials (HAZMATs) tank car with protective steel–steel composite metal foam (S–S CMF) are solved numerically. Tank car plate with added 10.91–13.33 mm thick S–S CMF layer does not puncture. Protective S–S CMF absorbs impact energy, reduces plate deformation, and prevents shear bands formation ...
Aman Kaushik, Afsaneh Rabiei
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On the analysis and interpretation of inhomogeneous quadratic forms as receptive fields [PDF]
, 2005 In this paper we introduce some mathematical and numerical tools to analyze and interpret inhomogeneous quadratic forms. The resulting characterization is in some aspects similar to that given by experimental studies of cortical cells, making it ...
Berkes, Pietro, Wiskott, Laurenz
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