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Firstly, a two-dimension tensor product space is constructed, in which reproducing kernel exists. Secondly a multiresolution analysis is constructed in the reproducing kernel space. Then an orthonormal basis in is obtained. Thus,the reproducing kernel space can be expressed by wavelets spaces. Wavelets approximation formula and sampling formula can also be obtained in the space. Besides, the wavelets approximation formula is simple and easy for calculation. That completes the theory of multiresolution analysis in finite interval fully and provides theoretical base and algorithm for application.

首先，构造二维张量积空间，并证明该空间具有再生核；其次在再生核空间中，建立多尺度分析，获得该空间的一个标准正交基，使得再生核空间可以由小波空间来刻画，进而得到小波级数和相应的采样公式，而且给出的小波级数形式简单易于数值分析，进一步完善了有限区间上的多尺度分析方法，也为实际应用提供了良好的理论基础和算法。

The formula was established about calculating design parameters and technological parameters of ideal strip and bent strip in the period of forming. The thesis presented how to calculate the deformed area length and contact are radius of contact deforming between two elastic bodies on condition of the friction. The calculating formula of pinch force about plate-strip pinch mill was given and the results were analyzed that friction coefficient and radius of pinch rolls are very important for determining pinch force. Moreover, the rule of deforming and stress distribution of different 〓 ratio were gained on condition that the deforming was considered to be non-uniform distribution in the gap. The differential equations were got that calculate the displacements of large deflection of elastic cantilever rectangle plate with fixed end and the formula of the Finite Strip Method was conducted to study the regularity of mid-plane displacements, deformation and stresses for elastic-plastic large deflection bend of cantilever parallelogram plate with fixed or slidable end by integrating Prandtl-Reuss equation.

建立了一套完整的设计参数计算公式和在成型过程中理想带钢或具有月牙弯带钢的工艺参数的调整公式；在考虑摩擦力的条件下，对两弹性体接触变形过程中的接触变形区长度和接触弧半径用位移解法进行了研究，推导了板带递送机的递送力计算公式，从而得知在递送机设计过程中，应选择适当摩擦系数和辊身直径；另外，还从辊缝内带钢实际变形出发，分析了对于不同的〓值，带钢的变形规律及应力分布状况；建立了固定端悬臂矩形板弹性大挠度弯曲变形的控制方程，并且在对Prandtl-Reuss方程的积分处理的基础上，导出了固定端和滑动端悬臂平行四边形薄板的弹塑性大挠度的中面伸展位移、变形和应力的有限条元法公式，编写了Fortran语言计算程序，在各种参数条件下，对螺旋焊管成型过程变形规律进行了全面的分析研究，从而为螺旋焊管的生产和进一步的改进提供了理论依据。

The formula for area of ellipsoidal triangle on earth ellipsoid by means of geodesic coordinate is derived in this paper. It is showed that the primary term is identical with the formula for area of plane triangle by planimetric rectangular coordinate in three angular point, while the expression of remainder terms has also regularity of its form. The presented formula can be applicable also to convex polygon on earth ellipsoid.

本文推导出用三顶点的测地坐标计算地球椭球面上三角形面积的公式，公式表明，其主项的表示式与按平面坐标求面积的计算式完全一致，而附加项的表示式亦有规律可循，因此该公式的适用范围可由椭球面三角形推广至椭球面上任意凸多边形。

A great deal of theory formula ratiocination and finity element analysis were done to get the approximate formula of a、b, and the modification was done to improve the formula finally.

通过大量理论公式推导和有限元分析，得出了a、b的近似公式，并对其进行了修正。

In order to satisfy the needs of the economical management and the engineering project, the paper gives three empirical formulae by the stepwise multiple regressiveness and main analysis methods to calculate the quantities of the machinery in the forest area of China. The formula(11) is used for accurate calculating.The formula (16) is used for simplified calculating and the formula (17) is used for roughly calcu!

为了满足宏观经济管理和工程规划的需要，本文利用逐步多元回归和主分量分析建立估算林区机械总量的经验公式，其中公式(11)是精确计算用，公式(16)是常用简化计算式，而公式(17)是粗略估算式。

An equation, formula( 3 ), and an analytic solution of it, formula, are derived Using formula( 5 ) and a data set obtained from etc., the luminosity function of nearby galaxies is calculated; and A comparison of our result with and[ 8 ] is made.

得到了一个方程，式(3)；和这个方程的一个分析解，式(5)。应用公式(5)和由[11]等得来的一组资料，计算出附近星系的光度函数。

Via generalizing the Cauchy method we obtain a new method,called the modified Cauchy method.By means of this method we establish two bilateral _3ψ_3 and _4ψ_4 series summation formulae,two four-term summation and transformation formulae for unilateral _3φ_2-series and bilateral _3ψ_3-series,and two five-term summation and transformation formulae for unilateral _3φ_2-series and bilateral _3φ_3-series,which contain many known results as their special cases,such as non-terminating q-Saalschütz summation formula,Bilateral _6ψ_6 series summation formula of Bailey,non-terminating Watson transformation formula and some transformations of _3φ_2-series etc.

通过对Cauchy方法的推广，我们得到修正的Cauchy方法，采用这个方法分别得到两个双边的_3ψ_3和_4ψ_4基本超几何级数的求和公式、单边_3φ_~(2-)级数和双边_3ψ_(3~-)级数的两个四项求和变换公式和两个五项求和变换公式，它们包括许多已有的结果为特例，如非终止的q-Saalschütz求和公式、Bailey的very-well-poised双边级数_6ψ_6求和公式、非终止的Watson变换公式和一些关于单边_3φ_(2~-)级数的变换公式等。

About the total probability popularization and employ , far above these far of formula, this text make one summarize from some respect of him just, generally speaking, the total probability formula one very important and practical formula among the probability, can play a very important role in our production reality .

关于全概率公式的推广与应用远远不止这些，本文只是从他的某些方面做了一个概括，总的说来，全概率公式是概率当中一个非常重要而且实用的一个公式，能够在我们的生产实际中发挥着举足轻重的作

Feedback and constantly improve the formula, in particular,to take care of sensitive skin, the formula has been greatly reduced the use of spices and preservatives,but also because the skin is a different formula,so use More effective and more cordial,Prodcts will become a launch at that time women;s secret weapon against time and the source of self-confidence,DELLE Dr,Geng Shiba and the annual profits of 10 percent used as the nurturing of new products and research and development, this brand of Danli been gowing and become well-known brands.

由于越来越多的人喜欢上法丹莉，DELLE博士开始考虑要让更多的人能够分享法丹莉的美容成果，遂推出了以法丹莉为品牌的系列美容品。她根椐收集来的大量的顾客意见和使用反馈，不断改进配方，尤其照顾到敏感性肌肤者，在配方中大大减少了香料和防腐剂的使用，更因为是针对不同的肌肤配方，所以使用时更有效，更亲切。产品一经推出更成为当时女性对抗时间的秘密武器和自信的来源。而DELLE博士更是把每年的利润的10%用来作为新产品的培植与研发，以此法丹莉品牌得到不断壮大，成为家喻户晓的品牌。

According to the wave energy flux method, longshore sediment transport rate of the Changxing Island sea area of Dalian is quantitatively calculated with SMB formula,Xu Xiao formula and Chatou formula.

根据波能流法，采用SMB公式、徐啸公式和夏都公式对大连长兴岛海域的沿岸输沙率进行了定量计算，并从泥沙来源、海岸地形与地貌方面，对海域的沿岸输沙问题进行了定性分析。

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。