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This article presents a precise detection of the characteristic parameters of the linear elliptic operator.

详细说明：这篇文章，提出了一种可以精确检测椭圆特征参数的线性算子。

In elliptic case,the compactness of"convex polyhedrons"is destinedto be true because of the"local Lipschitz continuity of convex functions",whilein parabolic case,we cannot expect convex-monotone functions have such goodproperties as convex functions.

在广义解存在性的证明中，参考椭圆情形由"凸多面体"逼近的思想，我们采用了由一种特殊构造的"凸单调多面体"逼近的途径，但在证明这种凸单调多面体族的紧性时，我们遇到了困难。

Petals white, base yellow maculate, or yellowish or pink, orbicular or broadly elliptic, 8-15 × 5-10 mm, pubescent, apex rounded, base clawed, margin fimbriate.

花瓣白色，基部具黄色斑点，或淡黄或粉红，圆形或宽椭圆形， 8-15 * 5-10 毫米，短柔毛，先端圆形，基部瓣爪，边缘流苏状。

Leaflets obovate, oblong, broadly elliptic, oblanceolate, or spatulate, abaxially not maculate; connective apical appendage scarcely visible; plants monoecious.

小叶倒卵形的，长圆形，宽椭圆形，倒披针形，或匙形，背面不具斑点；药隔顶端附属物几乎不可见；植株雌雄同株。

The meizoseismal area was elliptic with major axis in NW direction.

这次地震发生在玉川断裂与中营断裂带交汇处。

The abstract result contains several concrete results in the literature and can also be used to deal with some new cases for resonant differential equations.In the introduction, we briefly introduce the development process of the variational methods. In Chapter 2, we list some basic knowledges refering to the variational methods, including the Sobobev space,—△ operator, the weak solution and the minimizing sequence methods and some minimax theorems. In Chapter 3, we introduce the research process of Hamiltonian system of second order and the semilinear elliptic problems, using the methods introduced previously. In Chapter 4, we prove the main theorem of the thesis, and apply it to the problems in the previous Chapter, and can also be applied to some new resonant cases.

在前言中，简要介绍了变分法的产生、发展过程，在第二章中我们介绍了有关变分法的一些基本知识，包括Sobolev空间，—△算子，弱解，极小化序列方法和一些极小极大定理，在第三章中我们介绍了非线性项有界或满足次线性条件，以及它满足推广的Ahmad-Lazer-Paul条件时，二阶Hamiltonian系统和半线性椭圆问题的研究历程，最后在第四章中我们证明了本论文的主要定理，并把它应用到第三章的问题中，使得前面的几种共振的情形都可以统一到这个抽象的结果中。

The coupling of linear antennas parallel to the minor axis in a elliptic waveguide are discussed by means of dyadic Green s function and reaction principle.

采用并矢格林函数和反应原理，讨论了椭圆波导中平行于短轴的线天线的互耦合。

A"bit-mismatch"squarer and a"digit-serial"polynomial multiplier have been designed for finite field arithmetic and the modular inverse in GF (2〓) can be calculated under the combination of the squarer and the multiplier. Based on the Montgomery method for the elliptic curve scalar multiplication, a new improved process has been put forward in the thesis.

论文改进了标量乘法Montgomery算法流程，利用寄存器间的数据交换，将0和1两种情况下的中间结果"点加一倍点"操作统一起来，简化了控制流程，使关键路径延时下降，而且减少了运算单元输入输出的连线逻辑。

Key words:Almost monotone approximation,Boundary value problems,Non-linear elliptic systems

在第五章，我们提出了具有拟单调性的非线性椭圆型方程组边值问题的几乎单调逼近。

In the rest of this dissertation, we apply our above abstract results,"global Morse theory"and other critical point theorems to some semilinear resonant elliptic boundary value problems as well as some asymptotically"linear"or super"linear"p-Laplacian equations, and obtain the existence or multiplicity of solutions.

在后半部分，我们运用上面的抽象结果，以及大范围Morse理论和其他临界点理论，研究一些半线性椭圆共振问题的多重解的存在性，以及一些渐近线性或超线性p-Laplacian方程的解的存在性或多重性。

He paid $5,000 for this cupcake.

他我这个纸杯蛋糕花了5000美元。

I mean, if you want to, that is

我的意思是，如果你们想吃的话。