非公式的

They concluded that the derivative-free formula is not exact under the assumed conditions, but it is a very good approximate reconstruction formula.

黄朝志等发现在1993年发表的非圆轨迹不含导数的扇束重建公式推导中的一个错误他们的结论是：在假设的条件下，不含导数的重建公式不是精确的，但是一个很好的近似重建公式。

At the same time, combining with the actual condition of delivery pipeline of our country and some prevalent leak detection and location methods, this paper raised a method, which is based on wavelet analysis and negative- pressure-wave to detect and locate the leakage. Jobs in the paper are as follows:As affected by gas density, pressure, specific heat and pipe material, the velocity of negative-pressure-wave improved depending on the energy conservation. At one time, taking the affection of velocity of gas flow, the location formula was modified in some degree.When locating the leaks with location formula, the iterative approach algorithm was adopted as a new method to increase the location accuracy level of system.Multi-scale decomposition and reconstruction of wavelet transform is utilized to filter the noise of negative-pressure-wave, which was brought by leakage. With the capacity to detect the signal singularity fast and accurately, wavelet transform was used to catch the break point of pressure signal. The work improved the accuracy of At in location formula, accordingly improved the location accuracy.Wavelet is a suitable tool for signal analysis. The distinct character is that the mother-wavelet is of optional. That means choosing different mother-wavelet will get different analysis result. So we studied how to choose mother-wavelet and its scale for signal singularity detection. The method is to choose a wavelet by regularities of the wavelet and the signal.Finally, a plan, which bases on SCADA system for inspection and detection of natural gas leakage, is proposed in the article.

其中，主要进行了以下几方面的工作：针对泄漏产生的负压波在管道中的传播速度受媒介的密度、压力、比热及材质等因素的影响，而非声波在空气中传播的速度，本文利用能量守恒原理，对其进行了修正；考虑到管内气体流速对压力波速的影响，对原始的负压波定位公式进行了一定程度的改进，并在利用定位公式进行泄漏点定位时采用逐步迭代逼近算法，提高了系统的定位精度；利用小波变换的多分辨率分解和重构技术，对采集到的管道发生泄漏时产生的负压波信号进行了降噪处理；并利用小波变换技术对信号奇异点的快速、准确的识别能力，对经上述消噪后的负压波信号进行了奇异点捕捉，精确捕捉的结果提高了定位公式中上下游站点采集到的负压波奇异点的时间差△t的精度，从而进一步提高了定位的精度；考虑到小波变换是一种基波可变的信号分析工具，也就是说，不同的小波基波对信号分析的结果将有很大差别，这势必影响最终的处理结果，因此，我们又对比分析了本课题中小波基及尺度的选择问题，依据规则性系数相似性原理对母小波的选择进行了探索性研究；最后，还提出了基于SCADA的泄漏检测与定位系统的软件开发构想及系统的嵌入方案。

It's whole content is mainly about the following seven questions:the definition of "fair value",the entry price of the asset received in non-monetary transactions,the formula of judge in non-monetary transactions,the question of whether the exchange of the labour service could be listed in the range of non-monetary transactions,the standard to judge the asset-held-for-sales and assets-not-held-for-sales,the rationality of the unfulfilled exchange of dissimilar non-monetary assets is regarded as the exchange of similar, the rationality of non-monetary transactions related to several assets is regarded as exchange of similar.

全篇主要讨论了"公允价值"的定义，非货币性交易中换入资产的入帐价值，非货币性交易判别公式，劳务交换是否可以纳入非货币性交易范畴，待售资产与非待售资产的判定，未实现最终交换目的的不同类交换视为同类交换是否合理，涉及多项资产的非货币性交易均视为同类交换其合理性等七个问题。

Secondly, three kinds of mathematics model of optical vortex beams were introduced here. Then the propagation dynamics of optical vortex beams through the non-axis symmetry system is studied, this chapter includes the introduction of the symmetry vortex beam and the non- symmetry vortex beam, the deduction of the Collins diffract integral formula for the non-axis symmetry system, and the transformation of the vortex beam passing through the non-axis symmetry system has been described by using the numerical simulation. Then the general calculation for the orbit momentum of vortex beams, the matrix form for the orbit momentum of vortex beams, and the photon method to describe the orbit momentum of vortex beams are also introduced here. Finally, the interference about optical vortex beams was studied.

本文对涡旋光束进行了较为全面的介绍和研究，主要内容包括：（1）光学涡旋光束的基本理论，主要是介绍了单个光学涡旋光束在柱坐标中的一些表征，涡旋光束的奇异相位和光学涡旋的相位结构；（2）光学涡旋光束的三种数学模型；（3）光学涡旋光束在非轴对称光学系统中的传播动力学，其中介绍了对称涡旋光束与非对称涡旋光束，推导了非轴对称光学系统的 Collins 衍射积分公式，并利用计算机模拟图描述了对称涡旋光束经过非轴对称光学系统后涡旋形态的改变；（4）涡旋光束轨道角动量的一般计算，涡旋光束轨道角动量的矩阵形式，光子法描述涡旋的轨道角动量；（5）涡旋光束的干涉。

O. Pohl's equation for single defect. This could be helpful to formulize the phonon thermal conductivity in a wider frequency region including non dispersive and dispersive phonon.

O。 Pohl公式成功的拟合了MD结果，这一结果会对在较宽频率包括非色散和色散声子范围内构造声子热传导公式有帮助。

Pohl's equation for single defect. This could be helpful to formulize the phonon thermal conductivity in a wider frequency region including non dispersive and dispersive phonon.

Pohl公式成功的拟合了MD结果，这一结果会对在较宽频率包括非色散和色散声子范围内构造声子热传导公式有帮助。

The principle of extrafocal radiation could be used for the calculation of monitor unit. An equation,, is derived to calculate the equivalent field size of a rectangular field, where k is the geometric weighting factor.

计算监控单位可利用非射源产生之辐射的原理，导出公式并接著加以计算，公式中K值为几何比重因子，Varian 21EX直线加速器为1.49。

In this paper, a new class of memoryless non-quasi-Newton method for solving unconstrained optimization problems is proposed, and the global convergence of this method with inexact line search is proved.

本文导出了一类无记忆非拟 Newton 公式，并证明了采用非精确线搜索的无记忆非拟 Newton算法的全局收敛性。

Based on the prediction model for uncatalytic double base propellant burning rate the dissertation, carrys on the mathematical treatment to the hypothesis of polyemerization and disintegration, deduces the formula of catalytic double base propellant burning rate and pressure exponent; The results of experimental tests show that it can re-present quantitatively various stage of plateau combustion: super rate, plateau and mesa. The calculated results conform with the experimental results very well.

在非催化双基推进剂燃速预估理论的基础上，对聚合裂解的假设进行数学处理，导出催化双基推进剂的燃速公式和燃速压力指数公式；实验验证结果表明，模型中的公式可以定量地再现双基平台推进剂燃烧中的超速，平台和麦撒现象，而且计算值和实测值符合得较好。

By this program,we have calculated the EPP of Gm types in Chinese Han Nationalities residing in 4 areas and of the Rh systems in 16 Nationalities of Chinese with a personal computer, Chakravarti had provide a formula for calculating the EPP of multi-codominant alleles in multiple loci.According...

同时，根据 Chakravarti(1983)的多位点共显性基因非父排除率计算公式编制一个 BASIC 程序，用以计算了我国6个地区汉族及5个少数民族 HLA 型的非父排除率，其结果可用于亲权鉴定时对血型系统非父排除率的估计。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。