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排序方式: 共有409条查询结果,搜索用时 31 毫秒
41.
We study the Plancherel–Rotach asymptotics of four families of orthogonal polynomials: the Chen–Ismail polynomials, the Berg–Letessier–Valent polynomials, and the Conrad–Flajolet polynomials I and II. All these polynomials arise in indeterminate moment problems, and three of them are birth and death process polynomials with cubic or quartic rates. We employ a difference equation asymptotic technique due to Z. Wang and R. Wong. Our analysis leads to a conjecture about large degree behavior of polynomials orthogonal with respect to solutions of indeterminate moment problems. 相似文献
42.
In this paper, the water waves problem for uneven bottoms in a highly nonlinear regime is studied. It is well known that, for such regimes, a generalization of the Boussinesq equations called the Green–Naghdi equations can be derived and justified when the bottom is variable (Lannes and Bonneton in Phys Fluids 21, 2009). Moreover, the Green–Naghdi and Boussinesq equations are fully nonlinear and dispersive systems. We derive here new linear asymptotic models of the Green–Naghdi and Boussinesq equations so that they have the same accuracy as the standard equations. We solve explicitly the new linear models and numerically validate the results. 相似文献
43.
The expansion of a plasma induced by laser ablation is investigated using a single-fluid model combined with Saha?s equation. The space coordinates x and time t are combined to a one self-similar variable ξ=x/(ct). To obtain ordinary differential equations, two different transformations for the density are used. The density profiles during the expansion are found to be completely different, one corresponds to the common results i.e., the density decreases monotonically with ξ, while with the second transformation, the profile shows a density increasing for certain interval of the self-similar variable. This effect is enhanced with higher initial ionization fraction. The role of the initial velocity which corresponds to the start of the expansion from an unperturbed plasma or from an expansion already going on is pointed out. 相似文献
44.
Mourad Ibrahim Daoudi Abdelhafid Triki Abdelkrim Redjaimia 《Journal of Thermal Analysis and Calorimetry》2011,104(2):627-633
Kinetics of β″ and β′ precipitations in an AlSiMg have been studied under non-isothermal conditions using differential scanning
calorimetry (DSC) technique. The variation of the activation energy as a function of transformed fraction is determined using
two isoconversional methods of Kissinger–Akahira–Sunose (KAS) and Friedman. The results obtained using the two methods show
a change in the activation energy for both metastable phases precipitations as a function of transformed fraction. The results
obtained from KAS method as compared with those obtained from Friedman method, show some major disagreements between the two
methods. The growth exponent, determined by Ozawa method, decreases as a function of temperature for both phases. 相似文献
45.
Mourad Boudhar 《Journal of Mathematical Modelling and Algorithms》2003,2(1):17-35
We consider the problem of minimizing the makespan on a batch processing machine, in which jobs are not all compatible. Only compatible jobs can be included into the same batch. This relation of compatibility is represented by a split graph. Jobs have release dates. The capacity of the batch processing machine is finite or infinite. The processing time of a batch is given by the processing time of the longest job in the batch. We establish the NP-hardness of the general problem and present polynomial algorithms for several special cases. Relating scheduling theory and graph theory appears to be an interesting and important concept. 相似文献
46.
In this work, a cooling of a flat microelectronic structure with single-phase forced convection is investigated. The axial
conduction, usually neglected in boundary layer theory, is considered here since the length of the heated element is in the
same order of magnitude as the thickness of the boundary layer. The microstructure represents a package of chips mounted flush
with the surface of the plate, and uniformly heated with a constant heat flux. The differential method is used to reduce the
governing partial differential equations to ordinary differential ones, which are solved numerically by the use of a computational
code developed by the authors. This code is based on Keller–Box method. The temperature profiles and Nusselt numbers are plotted
at several locations on the heated element and are given as functions of the Reynolds number at the beginning of heated microstructure
and of the ratio of unheated to heated length. Furthermore, the average Nusselt numbers on the heated length are computed
for Prandtl numbers in the range 0.7≤Pr≤7,000. The results are compared to the boundary layer solution of unheated starting length problem. The results will be used
as a baseline for successively more complex situations of cooling in electronics. 相似文献
47.
Mourad E. H. Ismail 《The Ramanujan Journal》2006,11(3):349-353
We give short elementary proofs of a formula of Ramanujan as interpreted by Bradley, and a companion formula originally proved
by W. Chu. We also give an elementary proof of a generalization of an identity originally proved using modular functions and
used to study a generating function for the number of partitions with specified crank.
Research partially supported by NSF grant DMS 99-70865.
2000 Mathematics Subject Classification Primary—39A70, 11P83; Secondary—33C20 相似文献
48.
Let B(X) be the algebra of all bounded linear operators on an infinite-dimensional complex or real Banach space X. Given an integer n ≥ 1, we show that an additive surjective map Φ on B(X)preserves Drazin invertible operators of index non-greater than n in both directions if and only if Φ is either of the form Φ(T) = αATA~(-1) or of the form Φ(T) = αBT~*B~(-1) where α is a non-zero scalar,A:X → X and B:X~*→ X are two bounded invertible linear or conjugate linear operators. 相似文献
49.
50.
Synthesis of 5‐Amino‐3,3‐dimethyl‐7‐phenyl‐3H‐[1,2]oxathiolo[4,3‐b]pyridine‐6‐carbonitrile 1,1‐Dioxides
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Mourad Chioua Abdelouahid Samadi Denis Postel Jan Balzarini José Marco‐Contelles 《Journal of heterocyclic chemistry》2014,51(5):1452-1456
The reaction of 4‐amino‐5,5‐dimethyl‐5H‐1,2‐oxathiole 2,2‐dioxide ( 1 ) with 2‐(arylidene)malononitriles 2 in ethanol, at reflux, using piperidine as catalyst, afforded 5‐amino‐3,3‐dimethyl‐7‐aryl‐3H‐[1,2]oxathiolo[4,3‐b]pyridine‐6‐carbonitrile 1,1‐dioxides ( 3 ) in moderate chemical yields. 相似文献