... consists ofa federation of 11 states in Peninsular Malaysia and the states of Sabah and Sarawak in the north of Kalimantan. Kuala Lumpur, the national capital, Labuan UNEP/SCS – National Report Malaysia ... waters. As coastal aquaculture systems are located mainly in sheltered coastal waters of the Straits of Malacca, these agricultural wastes, carrying bacteria and heavy metals, can be a health ... part of South-East Asia and occupies a total land area of 330,434 square kilometres. The land mass comprises three main components: Peninsular Malaysia and the two states of Sabah and Sarawak,...
... Computational Physics 87 (1990) 161.[9] T. Amisaki, S. Toyoda, H. Miyagawa, K. Kitamura, Development of hardware accelerator for molecular dynamicssimulations: a computation board that calculates ... conversion evaluation of formula pseudoparticle potentialL2L local expansion Anderson’s methodNear field force evaluation of physical-particle forceFar field force evaluation of Eq. (4)local expansionThe ... a sig-nificant calculation part of FMM on GRAPE. Remaining parts of the paper are organized as follows.In section 2 we gives a summary of the FMM and related algorithms as well as describe...
... Mathematicsand Mechanics-Azerbaijan NationalAcademy of Science, 9, F. AgayevStreet, Baku AZ1141, AzerbaijanFull list of author information isavailable at the end of the articleAbstractThe ... distributionand trace formulaofa second order operator-differential equationNigar Mahar Aslanova1,2Correspondence: nigar.aslanova@yahoo.com1Department of DifferentialEquation, Institute of Mathematicsand ... equations. Nauk Dumka, Kiev, 284(1984) (Russian).31. Yakubov, S, Yakubov, Ya: Differential-Operator Equations Ordinary and Partial Differential Equations. Chapman and Hall/CRC, Boca Raton, 568...
... pagesdoi:10.1155/2010/720235Research ArticleAccurate Asymptotic Formulas forEigenvalues and Eigenfunctions of a Boundary-Value Problem of Fourth OrderHamza MenkenMathematics Department, Science and Arts Faculty, ... DifferentialOperators, American Mathematical Society, Providence, RI, USA, 1975.3 V. A. Marchenko, Sturm-Liouville Operators and Applications, vol. 22 of Operator Theory: Advances andApplications,Birkh¨auser, ... boundary value problems,” European Journal of Pure and Applied Mathematics,vol.1,no.2,pp.51–60, 2008.9 K. R. Mamedov and H. Menken, “Asymptotic formulas for eigenvalues and eigenfunctions of a nonselfadjoint...
... cheap paradigm in an effortreduce costs and deploy resources in an efficient manner[1]. Early assessment of the pharmacodynamic response of a target to drug administration may facilitate an early ... and demonstrated that theapplication of formulation technology can acceleratein vivo evaluation of new targets by enabling pharmaco-dynamic studies of poorly soluble compounds.Keywords Nanosuspension ... that hasbeen described previously [23]. Equilibrium dialysis wasperformed using pooled, heparinized rat plasma at a finalDCU concentration of 10 lMat37°C for 4 h.Pharmacokinetic data analysisPharmacokinetic...
... senses of leisure and comfort to which people who are afraid of risk always try to aim their lives. In fact, having a good home to live in can be considered a good life for an ordinary person. ... there is a big failure afterwards. Happy, sad, successful, worried feelings themselves mix together inside an entrepreneur. A more important reason is that investing in business can be considered ... person. On the other hand, a person With a big sumof money, will you purchase a house or decide to run your own business? With a big sumof money, will you purchase a house or decide to...
... the proof of Theorem 4.9.4 of [S].Lemma 3.1. Given a semistandard tableau Q of shape η, the number of semistan-dard tableaux T of shape λ/ν such that J(T )=Qequals the Littlewood-Richardsoncoecient ... A Plethysm Formula for pµ(x) ◦ hλ(x)William F. Doran IVDepartment of MathematicsCalifornia Institute of TechnologyPasadena, CA 91125doran@cco.caltech.eduSubmitted: ... l(λ) and 1 ≤ j ≤ λi}⊂Z2. The set [λ]istheFerrers diagram of λ and is thought of as a collection of boxes arranged using matrix coordinates. A composition of n is a sequence α =(α1, ,αl) of...
... to give a p, q-analogue of rook numbers for arbitrary Ferrers boards. In this paper, we useRemmel and Wach’s definition and an extension of Garsia and Remmel’s proof togive a combinatorial interpretation ... +1)},des(σ)=|Des(σ)|,maj(σ)=i∈Des(σ)i, andcomaj(σ)=i∈Des(σ)(n − i).In [4], Garsia and Remmel gave a combinatorial proof of the following q-analogue of a formulaof Frobenius [3] relating the Stiring ... certainstatistic S. Later, Dworkin [2] and Haglund [7] independently gave explicit combinatorialinterpretations of such a statistic.In this paper we give a p, q-analogue of the formulaof Frobenius...
... investigate other q-analogues of the sumof cubes formula. In addition, asthere are classical results for sums of other powers of integers, it would be natural todevelop q-analogues of those ... ∈ S.3 RemarksWhile the q-analogue presented maintains some of the combinatorial properties of theclassical formula, one might hope for a simpler formula. For this reason it may be of interest ... note that the three subcases in 1 (a) are disjoint. Certainly case (i) as well as cases(ii) and (iii) are disjoint as case (i) maps (λ, µ) to a 3-tuple with a primed third entry.Cases (ii) and...
... (1.6)Notice that the above formulas have the same pattern that each summand on the right-hand side has no pole at q = 1, and so reduce directly to Faulhaber’s correspondingformulas when q → 1.At the ... the problem of q-analogues of the sums of powers has attracted the attention of several authors [2, 9, 8], who found, in particular, q-analogues of the Faulhaber formula corresponding to m =1, ... electronic journal of combinatorics 11(2) (2005), #R19 13 A q-Analogue of Faulhaber’s Formula for Sums of PowersVictor J. W. Guo and Jiang ZengInstitut Camille Jordan, Universit´e Claude Bernard (Lyon...
... number of cars at n). Then we call f a c-parking function if all cars areable to park using the same parking procedure as before, except that cars may now parkin spaces 1 to n + c − 1. An alternative ... of f as a function that assigns to each car itsfavorite parking space. The cars arrive in some order at their favorite parking spaces. Ifspace f (z) is not already occupied when car z arrives ... Institute of Technology, Cambridge, Massachusetts, 2004. Slides of the talk are available athttp://www-math.mit.edu/~apost/talks/perm-slides.pdf.[13] A. Postnikov, Permutohedra, associahedra, and...