Results 91 to 100 of about 6,132,114 (301)
On the relationship between nonlinear and linear differential systems
上海师范大学学报. 自然科学版, 2015 In this article, we establish the relationship between the quadratic time-varying differential systems and the linear systems, giving the sufficient conditions for the quadratic systems to have the reflecting function in the form of fractional function ...
ZHOU Zhengxin +4 more
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Journal für die reine und angewandte Mathematik (Crelles Journal), 1984 Let \(u_ F(r)\) be the smallest integer such that every system of r quadratic forms in n variables, defined over a field F, has a nontrivial common zero if \(n>u_ F(r)\). Let \(u_ F(r)=\infty\) if no such integer exists. Then \(u_ F(r)\leq frac{1}{2}(r^ 2+r)u_ F(1)\) and there exist fields for which this bound is best possible when \(r=1,2,3\). If F is
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Embeddability of quadratic forms in Pfister forms
Indagationes Mathematicae, 2000 Let \(F\) be a field of characteristic not 2. An anisotropic quadratic form \(q\) over \(F\) is called \(m\)-embeddable if \(q\) is similar to a subform of an anisotropic \(m\)-fold Pfister form. Let \(m(q), m_{\text{ext}}(q)\), \(m_{ptr}(q)\) be the smallest integer \(m\) such that \(q\) is \(m\)-embeddable over \(F\), over an extension of \(F\), over
Izhboldin, O., Hoffmann, D.
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Algorithms in the theory of integral binary quadratic forms [PDF]
The classical ("old fashioned") theory of integral binary quadratic forms was developed by Gauss in his famous "Disquisitiones Arithmeticae". This thesis is concerned with the formal description and analysis of a selection of algorithms which make ...
Iliopoulos, C. S. (Costas S.)
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Advanced Materials Technologies, EarlyView.High‐aspect‐ratio low‐melting‐point alloy inclusions are embedded within multilayer silicone laminates to create thermally programmable stiffness. Sequential activation of alloy‐rich layers produces four distinct mechanical states and reconfigures tendon‐driven actuator trajectories under the same load.
Palpolage Don Shehan Hiroshan Gunawardane +4 more
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Rational quadratic spline interpolation to monotonic data. [PDF]
, 1982 In an earlier paper by Gregory & Delbourgo (1982), a piecewise rational quadratic function is developed which produces a monotonic interpolant to monotonic data. This interpolant gives visually pleasing curves and is of continuity class C1 .
Gregory, JA, Delbourgo, R
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Linear-Quadratic Jump-Diffusion Modeling with Application to Stochastic Volatility [PDF]
We aim at accommodating the existing affine jump-diffusion and quadratic models under the same roof, namely the linear-quadratic jump-diffusion (LQJD) class.
Peng Cheng, Olivier Scaillet
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Enumeration of quadratic forms over totally real fields [PDF]
, 2012 Let F be a real quadratic field with OF its ring of integers. Let f be a quadratic form over F with discriminant D. Using Koecher Theory and the generalized Voronoï Algorithm, we show that there are finitely many quadratic forms with discriminant D over ...
Hamby, Paula J. +1 more
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Advanced Materials Technologies, EarlyView.Dense tactile streams from across the humanoid body converge on collide in a central wiring and data bottleneck. By relocating computation closer to and then into the skin itself, near‐ and in‐sensor architectures, together with neuromorphic computing, chart a path toward perception‐native electronic skin, in which the conversion of stimulus into ...
Mijin Kim +6 more
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A response analysis of wheat and barley to nitrogen in Finland
Agricultural and Food Science, 1993 A nonlinear Mitscherlich function was found to be superior to quadratic and square root functions in estimating yield response to nitrogen based on a Finnish sample of barley.
John Sumelius
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