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So, in this paper, a circular cavity witha large radius is used to replace the straight boundary of thehalf space, then the half space problem can be changed tothe scattering problem of two circular cavities to the steadyincident P-wave . Having the aid of the mature cylinderfunction theory, the general solutions of the wave functionscan be given, and an infinite linear algebraic equations ofthe unknown coefficients in the wave functions can be gottenwith the boundary conditions and the Fourier complex seriesexpansion technology, the infinite linear algebraic equationscan be approximately solved by the finite trunction withsatisfying some definite precision, at the basis of thissolution of the equation, the variations and the lay-outs ofthe DSCF at the circular cavity boundary vs. the differentincident angles, the different embedded depths of thecircular cavity as well as the different dimensionless wavenumber of the incident P-wave.

为此，本文采用一个半径很大的圆孔来代替半空间的直边界，将该半空间问题转化为一无限大空间中两个圆孔对稳态P波的共同散射问题，借助于成熟的柱函数理论，通过写出问题波函数的一般形式解，利用问题的边界条件，并采用复数傅立叶级数展开技术将其化为一个仅包含问题波函数中未知系数的一无穷线性代数方程组，在满足一定计算精度的前提下，通过有限项截断进行近似求解，进而讨论了圆孔边界处的动应力集中系数随不同入射角、不同的圆孔掩埋深度、入射波的不同无量纲波数以及介质的泊松比变化和分布情况。

RESULTS The SOD activity had linear correlation with pH in the range of pH 2.2-8.0 when SOD concentration was fixed. The varication of activity after ultrosonication had linear correlcation with fluoresent intensity at 340 nm. With increase of uhtrosonic frequency, the microenviroment of tyrosine and tryptophan inside the SOD molecule was changed, then the balance of hydrophokicity and hydrophilicity inside the molecule was broken, this induced the blue shift of synchronous spectrum band and decrease of SOD activity.

结果 SOD浓度一定、pH2.2~8.0时，活性与其线性相关，超声后活性差值与340 nm荧光强度差值的线性相关；随着超声次数的增加，蛋白质SOD分子内部的酪氨酸、色氨酸所处的微环境被扰动，打破了分子内部的疏水和亲水平衡，使蛋白质的活性降低，在荧光检测中观察到普通荧光谱带蓝移，同步荧光的荧光峰位总体呈现峰位蓝移和强度下降。

Basic linear algebra in MATLAB . Vector and matrix addition and multiplication. Solving sets of linear equations using matrices.

使用MATLAB软件中的基础线性代数、向量和阵列的加法与乘法，以及使用阵列解决多组线性方程式。

It is observed that the threshold voltage, gain factor and current in linear and saturation region mismatch linear depend on the inverse of the square root of the device area.

由已经获得的经验知道，线性区和饱和区的阈值电压、增益及电流等参数的不匹配性均与器件面积的平方根成反比。

Detailed nonlinear model of camera self-calibration, non-linear wide-angle lens camera calibration technique, based on nonlinear optimization of camera calibration methods, and a step by step to solve the new linear camera calibration method.

详细说明：详细介绍了非线性模型下的摄像机自标定、广角镜头的摄像机非线性标定技术、基于非线性最优化的摄像机标定方法以及一种逐步求解的新的摄像机线性标定方法。

By regressive analyses of yield spread to interest rate and credit rank, building the stepwise linear regressive monitoring model of compound factors. With influence of product deadline, market risk and credit condition, yield spread shows non-linear changes. The main reason is the influence of credit condition and product deadline and market interest rate.

通过收益利差对产品期限、市场利率和信用等级等进行逐步线性回归，建立了OTC金融衍生品复合因子的监控模型；受产品期限、市场利率和信用状况的影响，收益利差呈非线性变化，主要原因是信用状况与产品期限、市场利率三者存在相互影响。

Using the Boussinesq approximation equations for meso-scale disturbances in zonally linear and non-linear shear flows a study is undertaken of the unstable features and wave properties of two typical meso-scale unstable disturbances i. e. symmetric and transversal instabilities.

使用纬向线性以及非线性切变基流下中尺度扰动的Boussinesq近似方程组，讨论了两种典型的中尺度扰动发生对称不稳定或者横波不稳定时，其不稳定的一些特征以及扰动的波动性质。

In addition, the model of NIP on the linear inclined rail is offered, which show that our analytic method not only can be used to NIP on the linear aclinic rail, but also to other kind of inverted pendulums.

以直线式倾斜轨道的n级倒立摆系统建模为例，说明了建模过程不仅适用于直线式水平轨道的倒立摆系统，同时也可以适用于某些其他类型的倒立摆系统。

The critical curves of linear shimmy systems are determined by optimizing the complex eigenvalues. This method can be used to analyse stability of linear shimmy systems with the arbitrary degrees of freedom and to extricate designers from the tedious algebraical derivation in the early shimmy stability analyses.

并使用&复特征值优化分析方法&确定线性摆振系统的各种临界参数曲线，这种方法可以分析任意多自由度的线性摆振系统的稳定性，免去了以往摆振稳定性分析中冗长的代数推导。

Nectar scales narrowly linear to linear-spatulate, 0.7-1.3 mm, apically not appendaged; leaf apex obtuse.

花蜜匙形鳞片狭线形到线形，0.7-1.3毫米，顶部无附属物；叶先端钝。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。