Results 21 to 30 of about 6,788,504 (325)
Momentum Operators in the Unit Square [PDF]
We investigate the skew-adjoint extensions of a partial derivative operator acting in the direction of one of the sides a unit square. We investigate the unitary equivalence of such extensions and the spectra of such extensions. It follows from our results, that such extensions need not have discete spectrum.
Pedersen, Steen, Tian, Feng
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A polynomial algorithm for packing unit squares in a hypograph of a piecewise linear function
We consider the problem of packing the maximal number of unit squares in a hypograph of a function. A polynomial time algorithm is described to solve this problem for a piecewise linear function.
Arslanov Marat +2 more
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The Hitting Set Problem (HSP) is the well known extremal problem adopting research interest in the fields of combinatorial optimization, computational geometry, and statistical learning theory for decades.
Daniel M. Khachay, Michael Yu. Khachay
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Solar-powered unmanned aerial vehicles usually fly at high altitudes, and they are mainly powered by the photocells covering the body of unmanned aerial vehicles.
Hongmei Zhang +3 more
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Numerical Analysis of Dynamic Properties of an Auxetic Structure with Rotating Squares with Holes
In this paper, a novel auxetic structure with rotating squares with holes is investigated. The unit cell of the structure consists of four units in the shape of a square with cut corners and holes.
Agata Mrozek, T. Stręk
semanticscholar +1 more source
Improved Packings of $n(n − 1)$ Unit Squares in a Square [PDF]
Let $s(n)$ be the side of the smallest square into which we can pack $n$ unit squares. The purpose of this paper is to prove that $s(n^2-n)<n$ for all $n\geq 12$. Besides, we show that $s(18^2-17) < 18, s(17^2-16) < 17,$ and $s(16^2-15) < 16.$
Arslanov, M. Z. +2 more
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Fault Diagnosis Method Based on Dynamic Axis Nucleation KPLS for Pumping Unit
Fault diagnosis of pumping unit system has long been a challenging issue owing to the system that exhibits nonlinearity, coupled parameters and time-varying in the production process.
Wei Zhou +4 more
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On the symmetric square. Unit elements [PDF]
\textit{J.-L. Waldspurger}'s recent coherence result [Publ. Math., Inst. Hautes Etud. Sci. 81, 25-72 (1995; Zbl 0841.22009)] for the germ expansion of the orbital integral of the unit element in the Hecke algebra on the topologically unipotent set, and Kazhdan's decomposition of compact elements into topologically unipotent and absolutely semi-simple ...
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Massively parallel least squares finite element method with graphic processing unit
For the reason of enormous computational expense, although the least squares finite element method has the advantages of high accuracy, robustness and strong versatility, the application of it is limited in computational fluid dynamics.
Qiliang Li +4 more
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Every collection of n (arbitrary-oriented) unit squares can be packed translatively into any equilateral triangle of side length 2:3755· √n.
Januszewski Janusz
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