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1.
Dorina Mitrea Marius Mitrea Jill Pipher 《Journal of Fourier Analysis and Applications》1997,3(2):131-192
We study boundary value problems for the time-harmonic form of the Maxwell equations, as well as for other related systems
of equations, on arbitrary Lipschitz domains in the three-dimensional Euclidean space. The main goal is to develop the corresponding
theory for Lp-integrable bounday data for optimal values of p's. We also discuss a number of relevant applications in electromagnetic scattering. 相似文献
2.
A magic labelling of a set system is a labelling of its points by distinct positive integers so that every set of the system has the same sum,
the magic sum. Examples are magic squares (the sets are the rows, columns, and diagonals) and semimagic squares (the same, but without
the diagonals). A magilatin labelling is like a magic labelling but the values need be distinct only within each set. We show that the number of n × n magic or magilatin labellings is a quasipolynomial function of the magic sum, and also of an upper bound on the entries in
the square. Our results differ from previous ones because we require that the entries in the square all be different from
each other, and because we derive our results not by ad hoc reasoning but from a general theory of counting lattice points in rational inside-out polytopes. We also generalize from
set systems to rational linear forms.
Dedicated to the memory of Claudia Zaslavsky, 1917–2006
Received August 10, 2005 相似文献
3.
In the classical channel assignment problem, transmitters that are sufficiently close together are assigned transmission frequencies that differ by prescribed amounts, with the goal of minimizing the span of frequencies required. This problem can be modeled through the use of an L(2,1)-labeling, which is a function f from the vertex set of a graph G to the non-negative integers such that |f(x)-f(y)|? 2 if xand y are adjacent vertices and |f(x)-f(y)|?1 if xand y are at distance two. The goal is to determine the λ-number of G, which is defined as the minimum span over all L(2,1)-labelings of G, or equivalently, the smallest number k such that G has an L(2,1)-labeling using integers from {0,1,…,k}. Recent work has focused on determining the λ-number of generalized Petersen graphs (GPGs) of order n. This paper provides exact values for the λ-numbers of GPGs of orders 5, 7, and 8, closing all remaining open cases for orders at most 8. It is also shown that there are no GPGs of order 4, 5, 8, or 11 with λ-number exactly equal to the known lower bound of 5, however, a construction is provided to obtain examples of GPGs with λ-number 5 for all other orders. This paper also provides an upper bound for the number of distinct isomorphism classes for GPGs of any given order. Finally, the exact values for the λ-number of n-stars, a subclass of the GPGs inspired by the classical Petersen graph, are also determined. These generalized stars have a useful representation on Möebius strips, which is fundamental in verifying our results. 相似文献
4.
Samit Mandal T. Madhusoodhanan Subinit Roy S. Ray H. Majumdar S. Datta S. S. Ghugre S. Ghosh A. Mandal D. K. Avasthi S. K. Datta 《Nuclear Physics A》2003,720(3-4):222-244
Angular distributions of elastic scattering and inelastic scattering from 2+1 state are measured for 16O+142,144,146Nd systems at several energies in the vicinity of the Coulomb barrier. The angular distributions are systematically analyzed in coupled channel framework. Renormalized double folded real optical and coupling potentials with DDM3Y interaction have been used in the calculation. Relevant nuclear densities needed to generate the potentials are derived from shell model wavefunctions. A truncated shell model calculation has been performed and the calculated energy levels are compared with the experimental ones. To simulate the absorption, a ‘hybrid’ approach is adopted. The contribution to the imaginary potential of couplings to the inelastic channels, other than the 2+1 target excitation channel, is calculated in the Feshbach formalism. This calculated imaginary potential along with a short ranged volume Woods–Saxon potential to simulate the absorption in fusion channel reproduces the angular distributions for 16O+146Nd quite well. But for 16O+142,144Nd systems additional surface absorption is found to be necessary to fit the angular distribution data. The variations of this additional absorption term with incident energy and the mass of the target are explored. 相似文献
5.
Antal Járai 《Aequationes Mathematicae》2003,65(3):236-266
Summary. We prove that - under certain conditions - measurable solutions $f$ of the functional equation $f(x)=h(x,y,f(g_{1}(x,y)),\ldots,f(g_{n}(x,y))),\quad(x,y)\in D \subset \mathbb{R}^{s} \times \mathbb{R}^{l}$ are continuous, even if $1\le l\le s$. As a tool we introduce new classes of functions which - roughly speaking - interpolate between continuous and Lebesgue measurable functions. Connection between these classes are also investigated. 相似文献
6.
7.
The influence of thermal treatment on a (Li2OAl2O3 SiO2) glass ceramic is studied by laser spectroscopy. At temperatures above 800 °C a fluorescence of Cr3+ ions around 693 nm appears which indicates the growth of crystallites where the Cr3+ ions occupy sites similar to those in Al2O3. 相似文献
8.
Kenzo Sato 《International Journal of Infrared and Millimeter Waves》1986,7(6):927-947
Under the influence of perpendicularly applied positive electro-static field less than 78u425611m0/xxlarge8776.gif" alt="ap" align="MIDDLE" BORDER="0">103V/cm to silk fibron textiles, at the high frequency side of the C2–O bending reflection band (78u425611m0/xxlarge8776.gif" alt="ap" align="MIDDLE" BORDER="0">45078u425611m0/xxlarge8764.gif" alt="sim" align="MIDDLE" BORDER="0">350 cm–1), effect of step creation and step annihilation of the C2–O pseudo dending bands was induced in three stages at 78u425611m0/xxlarge8776.gif" alt="ap" align="MIDDLE" BORDER="0">60078u425611m0/xxlarge8764.gif" alt="sim" align="MIDDLE" BORDER="0">450 cm–1 region IR spectroscopically relating to the stepnized statistical transfer of the unbonded 2P2, 78u425611m0/xxlarge960.gif" alt="pgr" align="BASELINE" BORDER="0"> electrons in carbon which present with density of 78u425611m0/xxlarge8776.gif" alt="ap" align="MIDDLE" BORDER="0">4.0×1014/cm2 in the surface mono-layer of silk fibroin from the states formed in (–C1–C2–N–)m spiral chains upto the pseudo-bending states formed in C2–O bondings. Fine 78u425611m0/xxlarge8776.gif" alt="ap" align="MIDDLE" BORDER="0">90 steps measured overlapping on these four types of C2–O reflection bands were analysed as to consist four step series and they were shown as,y = A·Jm + B cm–1 with A=20, B=521, m=0.55 and J=1, 2...18 for the B-series.And with A=39, B=283, m=0.63 and J=1, 2 ...17 for the C-series.y
J = A·J + B cm–1 with A=11.42, B=201 and J=1, 2...13, for the D-series. And, stepnized C2–O bending bands including that of permanent oscillators and pseudo-bending oscillators induced by the effect of transfer of the unbonded 2P2 electrons in carbon atoms were shown as, EN=A·N2+B·N+C (eV) with A=–1.50×10–3, B=1.65×10–2 and C=2.4×10–2. 相似文献
9.
TERESA HŁADOŃ JAN Pawlaczyk BARBARA Szafran 《Journal of inclusion phenomena and macrocyclic chemistry》2000,36(1):1-8
The ibuprofen-78h05687401004r/xxlarge946.gif" alt="beta" align="MIDDLE" BORDER="0">-cyclodextrin inclusion complex was prepared by theco-precipitation method. The identity of the obtained product was verified by X-ray and thermogravimetric techniques. The effect of 78h05687401004r/xxlarge946.gif" alt="beta" align="MIDDLE" BORDER="0">-cyclodextrin on the stability of ibuprofen was analysed. 相似文献
10.
Given a Markov chain (not necessarily stationary or homogeneous) with finite state space and an initial distribution, we can construct a measure 78330l1u/xxlarge956.gif" alt="mgr" align="MIDDLE" BORDER="0"> on the unit interval [0, 1]. In this work we examine the equality (up to a constant) of the Hausdorff dimension of 78330l1u/xxlarge956.gif" alt="mgr" align="MIDDLE" BORDER="0"> and of a suitably defined entropy for the Markovian process. The results are applied to the so-called Rademacher-Riesz Products. 相似文献