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Some well-known results on area transformation formula and variant transformation formula of double integral are improved and generalized.

对现有的有关面积变换公式和二重积分变量变换公式的结果作了相应的改进和推广。

After that, by making use of dual basis, the general reconstruction formula about frame is discussed, and the computation formula for the dual frame is presented, in which no operators are contained.

然后，利用对偶基概念讨论了一般框架下信号的重构公式，并给出了对偶框架的具体计算公式，该公式不包含任何算符，可以明显看出基矢的相关性与框架类型之间的关系。

Objective:Since some limitaions of SRK Ⅱ formula,the dual cubic curved regressive formula was designed. methods:By means of computer,statistical analysis and regressive treatment of kerato diopter,axial length and emmetropic IOL diopter of 415 pseudophakia was done.

针对目前临床上常用的SRKⅡ公式在计算人工晶体屈光度时的局限性，对415只后房型人工晶体眼的角膜屈光力、眼轴长度和正视化人工晶体屈光度进行回归分析后，设计出一种不同于传统的线性回归公式的曲线回归公式——二元三次计算公式。

Based on the operational characteristics of vehicles at roundabout, it deduced the roundabout capacity formula of single and dual signal control in the stop line ways,in which the single signal control capacity was deduced from no conflict time and conflict time respectively, based on stop line way the capacity formula of dual signal control considered the ring road parking capacity.

在对单重与双重信号控制环形交叉口车辆运行特性进行分析的基础上，采用停车线法推导出单重与双重信号控制环形交叉口的通行能力计算公式。

Methods Through the triaxial creep test, the triaxial creep curves and isochorounous stress-strain curves have been obtained, then the creep characteristics of mica-quartzose schist have been obtained by analyzing the triaxial creep curves, and the isochrounous stress-strain characteristics of mica-quartzose schist have been obtained by analyzing the isochorounous stress-strain curves. Finally, an empirical formula of creep curve is obtained by data fitting and the analysis of the relation between time and parameter of fitting formula.

通过三轴蠕变试验首先得到了云母石英片岩的蠕变曲线和应力应变等时曲线，然后对试验曲线进行分析得到云母石英片岩的蠕变特性和云母石英片岩的等时应力应变特性，最后拟合应力应变等时曲线，并分析时间和拟合公式中参数的关系，得出了蠕变经验公式。

The molecular formula of a compound can be found if its empirical formula and molar mass M are known.

如果一种化合物的实验式和分子量M已知，它的分子式就可以求得。

To the column or beam-column type collapse, adopt the classical Euler's stress formula and Hughes formula to calculate out the value of ultimate strength.

最后，在总结上述研究内容的基础上，对加筋板的各种失效模式进行了综合分析，找出各种失效模式下相应的适合工程计算和程序化的求解极限强度的简化公式。

On the basis of the previous studies on sound field separation techniques and based on the Euler formula and the finite difference approximation technique, a new theoretical formula of NAH using pressure and particle velocity measurements is given, and then an experiment is performed to validate the method.

随后通过实验检验了该方法在有背景源干扰情况下实现声场分离和重建的有效性。

A variable-step modified Euler time integration method is proposed and analyzed. Four major factors that affect the efficiency of the variable-step modified Euler time integration method are discussed. These include stability and accuracy analysis for the damped fix-step modified Euler integration formula, adjustment method of the fix-step basic integration formula to accommodate step-size changes, suitable range of the step-size selection strategy based on truncation error concept and development of the step-size selection strategy based on apparent frequency concept to satisfied the specified error bound and stability condition.

提出了变步长修正Euler时间积分法，详细讨论了影响变步长修正Euler时间积分算法效率的四个主要因素，它们包括：有阻尼问题的修正Euler法的稳定性和精度分析，调整固定步长的基本积分公式使之容纳步长大小变化的研究，基于截断误差概念的步长大小选择策略适用范围的讨论，同时满足规定误差界和稳定性条件的、基于表观频率概念的步长大小选择策略的建立。

In order to solve the problem,We proposed a simple formula for computing paraxial travel time of single-way wave operator. The formula is based on the forward and inverse transform between time-space domain to frequency-wavenumber domain and from vector field to exponential manifold. The travel time are expressed as polynomials of the horizontal offset between the two points, and the single-square-root operator in frequency-wavenumber domain are expressed as polynomials of wavenumber. Coefficients of travel time polynomials and that of single-square-root operator are related each other and calculated by Lie algebraic integrand, exponential map and the saddle-point method.

针对此，基于时间空间域到频率波数域和向量场到指数流形上的正反变换，提出了计算单程波算子旁轴走时的简便公式，将走时表示成空间变量(地面点到地下相点的水平距离)的多项式，将频率波数域单平方根算子表示成波数的多项式，运用Lie代数积分、指数映射和鞍点法将走时多项式的系数与单平方根算子的系数联系起来，运用单平方根算子的系数计算走时多项式的系数。

According to our present broadcasting situation,the thesis proposes using new technology to update and reform the present HFC. It also suggests broadcasting using self-advantage and arranging EPON in order to win the supermarket.

论文从我国广电的现状出发，结合实际，积极倡导采用新技术更新、改造我国现有的HFC网络；倡导广电现阶段利用自身优势，部署EPON网络来赢取市场。

A new general kinetic equation was derived in which the effect of the removal of condensation water was taken into account completely, and was applied to the polyesterification kinetic study of AA/HPHP and AA/NPG. It was found that the reaction order of self-catalyzed polyesterification was not constant. For these polyesterifications, the reaction order was 2.5 at a low temperature, while 3.0 at a high temperature.

考虑缩合水的排除对反应体系的影响，用体积浓度单位推导出一个新的聚酯反应总包动力学方程，并应用到AA/HPHP和AA/NPG两个聚酯化反应的动力学研究中，研究发现，自催化聚酯反应的反应级数并不是固定值，对于AA/HPHP和AA/NPG两个聚酯化反应而言，低温时反应级数为2.5，高温时反应级数为3.0。