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In this paper,on the basis of the exact solutions for the antiplane and plane symmetric cases,the exact solution of the plane anti-symmetric case has been obtained.

在反平面及平面对称情形的精确解的基础上严格地求出了平面界面横向裂纹反对称问题的精确解。

With the help of the optimization theory, we present the vertex solution theorem for determining both the exact upper bounds or maximum values and the exact lower bounds or minimum values of the dynamic response of structures, in which these parameters reach their extreme values on the boundary of the interval mass, damping, stiffness matrices and the interval external loads vector.

借助于优化理论，提出了确定结构动力响应精确上下界的极点求解定理，其中极值将在区间质量矩阵、阻尼矩阵、刚度矩阵和外载荷列向量的顶点达到。

This dissertation also studies the exact reconstrction theory, reconstruction conditions, mathematical consistency and parameter freedom, and the author's viewpoints about exact reconstruction theory are given finally.

对三维锥形束精确重建的算法理论、重建条件、数学一致性、参数自由度等问题进行了系统的分析和总结，并且给出了作者的一些观点

Exact formulae for bit error probabilities of the considered system are derived, and a set of numerical results both for the exact formulae and Gaussian approximation are presented.

分析并得出了系统位错概率的数学模型，并给出了该模型和高斯近似模型的一系列数值仿真结果。

To be an exact divisor of."The urgent report was completed in less than one day- six hours, to be more exact."

这篇紧急报告在不到一天的时间里，更确切地说，只花了六个小时就完成了。

Nonlinear flexural wave equation is solved by the Jacobi elliptic function expansion method. Two kinds of exact periodic solutions of the nonlinear equations are obtained, that is, the shock wave solution and the solitary wave solution. The necessary condition for existence of exact periodic solutions, shock solution and solitary solution is discussed, which is consistent with the qualitative analysis.

利用Jacobi椭圆函数展开法，对该非线性方程进行求解，得到了非线性波动方程的准确周期解及相对应的孤波解和冲击波解，讨论了这些解存在的必要条件，这与定性分析的结果完全相同。

By using the homogeneous balance principle and Hermite transform, various kinds of exact solutions to a stochastic nonlinear evolution equations can be algebraically obtained in terms of the exact solutions of heat conduction equation with variable coefficients.

利用齐次平衡原则及厄尔米特变换，借助于变系数热传导方程的各种精确解，用代数的方法获得了一随机非线性发展方程组的各种精确解。

In this paper,by using the idea of F-expansion method (where F is a known solution of an ordinary differential equation with fourth positive power nonlinearity),the problem of seeking the exact solutions of the generalized BBM equation with any positive power nonlinearity is changed into seeking the exact solutions of an ordinary differential equation with fourth positive power nonlinearity.

利用F-展开法的思想(F是一阶四次常微分方程的一个解)，将求含有任意次正幂项非线性广义BBM方程的精确解转化为求一阶四次常微分方程的精确解。

Results 49 patients were examined by radiography and the exact rate was 89.8%; 10 patients were examined with CT scan and the exact rate was 90%; 32 patients were examined with MRI scan and the exact rate was 96.6% rate.

结果 53例中经X线检查49例，正确率为89.8%；CT检查10例，正确率为90%；MRI检查32例，正确率为96.9%。

Determining whether actual TOA reported by NodeB is exact or not: if not exact, determining the nonsynchronous reason is that the actual TOA reported by NodeB is not exact.

确定NodeB报告的实际TOA的正确或者不正确，并在不正确时，将传输信道不同步的原因确定为NodeB报告的实际TOA不正确。

I use an example quoted by Hu Jiaqi:"It is reported that America separates the DNA of a kind of virus by making use of genetic technology and combines it with another kind of DNA. Finally, they get a kind of virulent biological agent called a "pyrotoxin". Someone discloses in private that 20 grams of such a kind of biological agent could result in the global death of 6 billion people due to infection."

我在这里例举胡家奇所引用过的例子："据报道，美国利用转基因技术，将一种病毒的DNA分离出来，与另外一种DNA进行结合，拼结成一种剧毒的"热毒素"生物战剂，且私下有人透露，这种生物战剂只需20克，就可以导致全球60亿人全部感染死亡。"

Waiting, for the queers and the coons and the Reds and the Jews.

等待着疯子和黑人还有红色共产主义者还有犹太人