Results 121 to 130 of about 12,772,525 (351)
Discrete Dynamics in Nature and Society, 2011 Using the fixed point method, we investigate the stability of the systems of quadratic-cubic and additive-quadratic-cubic functional equations with constant coefficients form r-divisible groups into Ŝerstnev probabilistic Banach spaces.
M. Eshaghi Gordji +3 more
doaj +1 more source
, 1978 Using known properties of continued fractions, we give a very simple and elementary proof of the theorem of Epstein and Rédei on the impossibility in a certain case of representing −1 by the quadratic form x2 − 2py2.
Horst von Lienen, von Lienen, Horst
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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
openaire +2 more sources
Nonlocomotory Robotic Strategies for Dynamic Rotation Control in Terrestrial Robots: A Review
Advanced Robotics Research, EarlyView.Terrestrial robots increasingly require rapid body rotation to maintain stability and agility in complex environments. This review shows nonlocomotory rotational control strategies that operate without ground contact, including reaction wheels, tails, bars, limbs, and thrusters.
Y. Liang +14 more
wiley +1 more source
Immunizing Conic Quadratic Optimization Problems Against Implementation Errors
We show that the robust counterpart of a convex quadratic constraint with ellipsoidal implementation error is equivalent to a system of conic quadratic constraints.
Ben-Tal, A., Hertog, D. den
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Analytical Solution for the Loss Distribution of a Collateralized Loan under a Quadratic Gaussian Default Intensity Process [PDF]
In this study, we derive an analytical solution for expected loss and the higher moment of the discounted loss distribution for a collateralized loan. To ensure nonnegative values for intensity and interest rate, we assume a quadratic Gaussian process ...
Satoshi Yamashita, Toshinao Yoshiba
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Multidirectional Motion Strategy of Miniature Water Surface Robot Actuated by Single Exciter
Advanced Robotics Research, EarlyView.A novel multidirectional motion strategy on the water surface based on a single exciter is proposed, and a single‐exciter single‐plate module is developed for actuation. The driving forces generation mechanism of the module is revealed from the perspective of the asymmetric surface wave field.
Haoxuan He +4 more
wiley +1 more source
Symmetry, Integrability and Geometry: Methods and Applications, 2011 In the three-dimensional flat space, a classical Hamiltonian, which has five functionally independent integrals of motion, including the Hamiltonian, is characterized as superintegrable. Kalnins, Kress and Miller (J. Math. Phys.
Yannis Tanoudis, Costas Daskaloyannis
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Advanced Robotics Research, EarlyView.Pak Biawak, a necrobot, embodies an unusual fusion of biology and robotics. Designed to repurpose natural structures after death, it challenges conventional boundaries between nature and engineering. Its movements are precise yet unsettling, raising questions about sustainability, ethics, and the untapped potential of biointegrated machines.
Leo Foulds +2 more
wiley +1 more source
In this paper, we establish some new central limit theorems for generalized U-statistics of dependent processes under some mild conditions. Such central limit theorems complement existing existing results available from both the econometrics literature ...
Gao, Jiti, Hong, Yongmiao
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