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Furthermore, the free spectra region increases to more than 100nm. The mode coupling between two degenerate modes with inverse symmetry properties in the deformed SR is found to be the reason of the traveling-wave filtering response.

与边长为1.91μ m 的单个理想正方形腔滤波器比较，变形正方形腔滤波器的开关比和分光比分别获得14dB 和15dB 的提高。

Based on the distance of Kullback-Leibler, this paper give the exact definition of the maximum Kullback-Leibler distance between two different distribution functions and prove that this one has analytic properties such as symmetry, triangle inequality which is the same as the Euclidean distance. By the definition, the maximum Kullback-Leibler distance between some conventional distributions, such as two different binomial distributions, two different normal distributions are obtianed.

在Kullback-Leibler距离的基础上，定义了两个概率分布之间的最大Kullback-Leibler距离，证明了这个距离具有欧式距离的对称性，三角不等式性等分析性质，依照该定义，计算了两个不同的二项分布，两个不同的正态分布等一些常见分布之问的最大Kullback-Leibler距离。

The Coupled resonator model and the distribution of the electric Field on the axisin the singly periodic cavity chain and biperiodic chain with full-cavity terminationsare analysed by Helmholtz Equation using the symmetry properties of the structure.

本文从场的对称特性来解析整腔结束的单周期和双周期谐振腔链的振荡模式，并给出它们的场分布，作为对用等效电路理论研究谐振腔链的振荡模式和场分布的另一校核方法。

The properties of the basis functions, such as the weighting property, positivity, symmetry and endpoints' properties,are similar with those of the n degree Bernstein basis functions,and the generated curves are similar with the n degree Bézier curves.

基函数的权性、非负性、对称性、端点性质等均与n次Bernstein基函数类似；生成曲线也具有与n次Bézier曲线类似的几何性质。

The history and fundamental properties of HTSC, including crystal structure, transport properties, pairing symmetry, psudogap, and stripe phase, were reviewed in Chap.

第一章综述了铜氧化物高温超导体，特别是电子型高温超导体的研究历史和一些基本性质，包括晶体结构、输运性质、超导序参量对称性、赝能隙和条纹相等。

This thesis will be expanded from two aspects: first, delta-sequence obtained by cubic spline interpolation cardinal function showed the properties of symmetry, Riesz basis and interpolation. Non linear convection diffusion equation (Burgers′equation) was used as an example. Then we modified this delta-sequence to improve the attenuation, the same example was used in numerical application.

在小波方法与PDE算法相结合方面，本文主要从两方面入手：首先是以样条插值基函数为基础构造δ-序列核，以非线性对流扩散方程为例给出了一种数值算法；进而对三次样条插值基函数进行改进，构造新的具有更快衰减性质的δ-序列核，同样以非线性对流扩散方程为例验证了新函数在数值求解中的有效性。

In the even-odd method, according to the symmetry properties of odd and even functions, the function to describe the surface distribution of a flat is decomposed to four components: even-odd odd-even even-even and odd-odd functions, the absolute distribution of three flats are obtained by solving every component.

奇偶函数法根据函数的奇偶特性，将平面面形函数分解为：偶奇、奇偶、偶偶和奇奇函数，再分别求出各项，从而得到三个平面的绝对面形。

The curve, to be calledλ-Bezier curve not only inherits themost properties of n-degree Bezier curve, such as endpoints properties, symmetry,convex hull property, geometric invariability, affine invariance, convex-preservingproperty, variation diminishing property and so on, but also can be adjusted inshape by changing the value ofλwithout changement of control points.

曲线不仅具有n次Bézier曲线的特性：如端点插值、端边相切、凸包性、变差缩减性、保凸性等，而且具有形状的可调性：在控制顶点不变的情况下，随着参数不同，可产生不同逼近控制多边形的曲线。

The mechanism of the reaction was studiedin detail,in which excited state avaliable to carryout the excited state intramolecular proton transferreaction was recognized.The INDO/S-CI semiempiricalMO method was used to calculate transition energiesand oscillator strength,and assign spectra theore-tically,the calculated spectra values were basicallyconsistent with the experimental values.Themolecular orbital properties for the adjacent HOMO-LUMO of various kinds of conformersand anion species,thetransition properties and symmetry for thetransition from ground state to lower excited stateswere analysed,especially,no much study on theanion species all of the world.

位能曲线的求法满足反应坐标是反应过程中能量最小途径的定义，较详细地研究了各类反应的质子转移历程，认定在哪个激发态有利于发生激发态分子内质子转移反应，用INDO/S-CI半经验MO方法进行跃迁能和振子强度计算及光谱的理论指认，计算的光谱值和实验值基本吻合，并分析了各种异构体和阴离子的HOMO-LUMO附近的轨道性质，各跃迁态的跃迁性质和对称性，尤其是对阴离子的研究国内外尚不多见。

We also love the symmetry in this one.

我们也爱在这个对称之一。

In the days of sailing vessels the crew were afraid they would be becalmed on the ocean.

在使用帆船的时代，船员们担心他们会因为无风而无法在海洋上航行。

As long as foreign donors pay the PA's salary bill, few expect a new intifada.

只要外国继续为巴权力机构的薪水买单，希望发动新暴动的人便寥寥无几。