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  boundary
     Initial Boundary Value Problems to Two Classes of Nonlinear Model Equations in Mathematical Physics
     两类非线性数学物理模型方程的初值问题
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     Periodic Solutions for Delay Differential Equations and Boundary Value Problems for Differential Equations
     时滞微分方程周期解与微分方程值问题的研究
短句来源
     Integral Equation Methods for Inverse Problems and Boundary Value Problems in Mathematical Physics
     数学物理中反问题与值问题的积分方程方法
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     High Order Singular Integrals and Boundary Value Problems in Clifford Analysis
     Clifford分析中高阶奇异积分和值问题
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     The Discussion of Some Nonlinear Operators and Applications to Boundary Value Problems for Differential Equations
     若干非线性算子的讨论及其在微分方程值问题中的应用
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  edge
     Scattering of SH-Wave by an Interface Cavity of ARbitrary Shape and the Crack at Its Edge
     平面SH波在界面任意形孔洞和孔裂纹上的散射
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     On the Edge Addition and Deletion of Graphs
     关于图的添加和减少问题研究
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     ANALYSIS OF THE BULK-ABSORBING PYROELECTRIC DETECTORS WITH EDGE ELECTRODES
     体吸收、电极热电探测器的分析
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     The Evaluation of Image Quality and Straight Edge Diffraction in Optical and Electronic Microscope
     光学和电子显微镜的直衍射和象质评价
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     ON THE THIRD ORDER OPTICAL NONLINEARITY OF SEMICONDUCTORS NEAR ITS ABSORPTION EDGE
     关于半导体吸收附近的三阶非线性光学常数
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  side
     ABNORMAL SENSIBILITY OF REFLECTION STRUCTURES FOR WEAK VIBRATIONS ON THE SHORT-WAVE SIDE OF RESTSTRAHLEN BAND OF CRYSTALS
     晶体剩余反射带短波弱振动反射光谱结构的异常敏感性
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     POSSIBILITY OF THE APPLICATION OF β-BaB_2O_4 CRYSTAL IN SIDE ELECTRODE PULSE LASER ENERGY METER
     β-BaB_2O_4晶体用于电极脉冲激光能量计的探索
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     Applications of Isoparametric Singular Elements to The Analysis of Plate Containing Cracks Emanating From The Side of Two Circular Holes And Investigation of Its Calculating Accuracy
     等参奇性元在双孔裂纹平板分析中的应用及其计算精度研究
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     The Optimum Design of Main Parameters of Two-Line Planet-gear Decelerator on Wheel side for Wheeled Loader 2K-H
     轮式装载机双排2K-H轮减速器主要参数的优化设计
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     Measurement of Residual Stress by Hole—drilling Method: Influence of Hole—side Plastic Deformation on The Residual Stress Analysis
     钻孔法测量残余应力时双向等应力下孔塑性变形对残余应力分析的影响
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  edges
     Pancyclic of (p,q)-Graphs with Edges q≥C_(p-1)~2+1
     q≥C_(p-1)~2+1的(p,q)图的泛圈性
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     The numbers of vertices, edges and cycles of a graph G are denoted by |V(G)|, |E(G)|and f(G), respectively.
     用|V(G)|、|E(G)|和f(G)分别表示图G的顶点数、数和圈数.设F(k)={f(G);
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     It is proved that if G be a connected almost bridgeless graph on n vertices (n≥3),with GK 1,n-1 .Suppose d G(e 1)+d G(e 2)+d G(e 3)≥2n+1 for every set of three independent edges of E(G),then G contains a D circuit,such that L(G) is a hamiltonian.
     证明顶点数n≥3的几乎无桥连通图G,GK1,n-1,若对G中任意互不相邻的3条e1,e2,e3满足dG(e1)+dG(e2)+dG(e3)≥2n+1,则G有一条D迹,从而其线图L(G)是Hamiltonian.
短句来源
     Let K2n+1 - E(2K2) be a graph obtained by deleting two nonadjacent edges from the complete graph K2n+1. The adjacent-vertex-distinguishing total chromatic numbers of K2n+1 - E(2K2) are discussed in this paper.
     用K2n+1-E(2K2)表示2n+1阶的完全图删掉两条不相邻的所得到的图,给出了图K2n+1- E(2K2)的邻点可区别全色数.
短句来源
     The, main result in this parper is as followa:Let C= (A, B; E) be abipartite graph with 2n vertices, |A| =|B| =n≥2, if ■ e1, e2∈E, e1≠e2, dG (e1 )+dG (e2)≥4n-|M| + 1, then there exists a cricuit including M, where M is a set of independent edges.
     设G=(A,B;E)是偶图,|A|=|B|=n≥2,M是任意一个独立的集合,|M|≥2,如果对于E中的任意两条e,f(e≠f),有d(e)+d(f)≥4n-|M|+1,则G中存在一个含有M的圈.
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  boundary
The main idea for our approach relies on a study of the boundary theory we established for the general CAT(-1) spaces.
      
LetD be a Hermitian symmetric space of tube type,S its Shilov boundary andG the neutral component of the group of bi-holomorphic diffeomorphisms ofD.
      
Taking a specific determination of its argument and studying its limit when approaching the Shilov boundary, we are able to define a ?-valued,G-invariant kernel for triples of mutually transversal points inS.
      
For every orbitGυ which is not polynomially convex we construct an analytic annulus or strip inG?υ with the boundary inGυ.
      
Such properties are expressed using the Furstenberg boundary of the associated symmetric space ? × ?.
      
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  edge
A Discrete Wavelet Transform without edge effects using wavelet extrapolation
      
Commonly used techniques such as circular convolution and symmetric extension can produce undesirable edge effects which propagate into the interior of the transformed data as the number of DWT iterations increases.
      
In this paper, we clarify exactly how "bad" such Gabor expansions are, we make it clear precisely where the edge is between "enough" and "too little," and we find a remedy for their shortcomings in terms of a certain summability method.
      
A fixed double (single) bond of a Kekuléan benzenoid systemH is an edge belonging to all (none) of the Kekulé structures ofH.
      
Furthermore, its connectivity, diameter and transitivity (vertex-, edge-) are also determined.
      
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  side
Hence, we are able to approximate (in the L2-norm) MSF wavelets by wavelets with any desired degree of smoothness on the Fourier transform side.
      
Hence, we are able to approximate (in the L2-norm) MSF wavelets by wavelets with any desired degree of smoothness on the Fourier transform side.
      
Specifically, for1>amp;lt;p>amp;lt;∞, we obtain sufficient conditions for the weight in one side, which guarantee that another weight exists in the other side, so that the corresponding Lp weighted inequality holds for T*.
      
The best ligand (9, sigma-1 Ki = 0.56 nM, selectivity ratio >amp;gt;1000) was obtained with an azepine side-chain.
      
We present the results in terms of structure-activity relationships, focusing on the lack of the methoxy group and the influence of the amide side chain.
      
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  edges
The Main Theorem establishes a general result for multipliers that are allowed to have singularities along the edges of a cone as well as possibly at its vertex.
      
A collection ofk-matchings of bipartite graphKn,n with the property that every pair of independent edges lies in exactly λ of thek-matchings is called a BIMATCH(n, k λ)-design.
      
Given a complete graph with vertex setX and subsetsX1,X2,…,Xn, the problem of finding a subgraphG with minimum number of edges such that for everyi=1,2,…,n, G contains a spanning tree onXi, arises in the design of vacuum systems.
      
A set S of the edges in G is called an R2-edge-cut if G-S is disconnected and contains neither an isolated vertex nor a one-degree vertex.
      
Let G be a 3-edge-connected graph (possibly with multiple edges or loops), and let γM(G) and β(G) be the maximum genus and the Betti number of G, respectively.
      
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