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The thermodynamic function of the compound were derived and reported at an interval of 5 K.

通过分 步熔化法得到样品的纯度为0.9984和绝对纯样品的熔点为

Based on the structure reliability analysis and results of structural optimization theory,the performance function and computative method of reliability index of the homogeneous truss structure under certain failure mode were derived and given,respectively.

以结构可靠性分析和结构优化理论成果为基础，推导得到匀质杆件结构在特定失效模式下的功能函数，给出这一特定失效模式下结构可靠度指标的计算方法。

A conditional probability density function of the SAR imaging systems is derived, These works lay a foundation for further research.

将SAR成象系统视为一个多元接入信息系统，在深入分析系统构成的条件下，求出该系统的传递概率密度函数。

First, the backward Kolmogorov equation for the conditional reliability function and the Pontryagin equation for mean first-passage time and then- associated boundary and initial conditions are derived based on the stochastic averaging methods for quasi non-integrable, quasi integrable and quasi partially integ...

首先利用拟不可积、拟可积非共振及拟部分可积非共振Hamilton系统的随机平均法分别给出了研究该系统首次穿越问题的提法，包括计算条件可靠性函数的后向Kolmogorov方程及计算平均首次穿越时间的Pontryagin方程及其边值条件。

The expressions of multiple complex variable flexure stress function of a infinite plane with arbitrary holes are derived by using the theory of complex variable functions and multiple conformal mapping transformation.

应用弹性力学复变函数理论，采用多保角变换方法，推出了含有任意多孔无限大平板弯曲或者扭转的多复变量弯曲应力函数表达式。

In terms of the minimum question of a positive definite quadratic function,a set of Newton directions in minimum points derived with an accurate single dimensional search are used to produce a set of conjugate direction ,and a proof of convergence is presented.

对正定二次函数极小问题，利用精确一维搜索所得极小点处的牛顿方向来生成一组共轭方向，并给出收敛性证明

From continuity equation and Navier-Stokes equation, non-dimensionalized stream function-vorticity equations is derived.

这是能否用有限元方法正确描述流场的关键。

According to induced response method, the expression in frequency domain of pressure response at the end of pipeline is derived using impulse response method and convolution theorem. The expression indicates that that transfer function is only related to the characteristics of pipeline system and the Fourier transform of flow variable only depends on the operating characteristics, and the pressure response in frequency domain is linear with the Fourier transform of flow variable.

基于激励响应法，应用脉冲响应方法和卷积定理得出了管道末端压力响应在频域中的表达式，此式表明：传递函数只与系统的特性相关，流量变量的傅立叶变换只与操作特性相关，且压力频域响应与流量变量的傅立叶变换为线形关系，根据此式在理论上能够得到管道泄漏点的重要信息。

To reduce the evil influence of the window effect to discrete Fourier transform spectrum analysis, interpolation equations of generalized cosine window function with different K are derived.

为了减少加窗效应对基于离散傅里叶变换频谱分析的测频算法产生的不良影响，推导了不同K值下，广义余弦类窗函数的频谱及幅度比值法插值校正公式。

After that, a new blind adaptive beam control algorithm is derived from the new cost function.

然后以此新的代价函数为基础，通过理论推导，提出了一种新的自适应波束控制算法。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。