反演公式

Climatologically representative retrieval equations for different seasons in Beijing are given,and the numerical simulation tests of the accuracy of retrieval results are also presented.

给出了实用的有气候代表性的北京地区4个季节的反演公式，并对反演公式进行了数值检验，分析了反演精度：春、夏、秋、冬4季水汽总量反演的相对标准偏差分别为3.1%、1.6%、2.2%和2.4%。

Climatologically representative retrieval equations for different seasons in Beijing are given, and the numerical simulation tests of the accuracy of retrieval results are also presented. The relative standard deviation of retrieved values of V is 3.1%, 1.6%, 2.2% and 2.4%, respectively, for spring, summer, autumn and winter.

给出了实用的有气候代表性的北京地区4个季节的反演公式，并对反演公式进行了数值检验，分析了反演精度：春、夏、秋、冬4季水汽总量反演的相对标准偏差分别为3.1%、1.6%、2.2%和2.4%。

Lastly, we present some theories of wavelet-based analysis of fractal image compression in chapter five. The more details of wavelet transform、wavelet frame、 wavelet basis、scaling function、reconstruction algorithm、decomposition algorithm and inverse formula are also discussed.

最后，我们在第五章介绍了基于小波分析的分形图象压缩的一些理论，还详细地讨论了小波变换、小波标架、小波基、尺度函数、重构算法、分解算法和反演公式。

In Chapter 3, by means of Carlitz inversion formulas and a transformation of basic hypergeometric series obtained by Chu, we give new proofs for several Rogers-Ramanujan type identities.

第三章：在第二章内容的基础上，使用Carlitz-反演公式和初文昌获得的一个级数变换公式再次证明了许多Rogers-Ramanujan类型恒等式。

In chapter 4, Based on the orthogonality relations and duality of C-algebras, we study the decompositions of C-algebras, and give a Fourier inversion formula on C-algebras, which generalizes the Fourier inversion formula on the center of a finite group algebra over complex. As an application, we characterize the integral closure of C-algebras over the ring of integers, and show a necessary and sufficitient condition for elements of C-algbras being algbraic integral over integers.

第四章 我们应用C-代数的正交性及对偶性刻画了C-代数的一个分解，给出了C-代数上这个完全分解的Fourier反演公式，从而推广了Z分解的Fourier反演公式；作为Fourier反演公式的一个应用，我们刻画了Z在整数环Z上的整闭包，进一步我们研究了C-代数在整数环Z上的整闭包，给出了C-代数在整数环Z上为整元的一个充要条件。

By singular value decomposition method, we obtain inversion formula of the generalized Radon transform with weight function, and study the support and range condition of it.

用奇异值分解的方法对带权的广义Radon变换的反演作了讨论，得到了反演公式并对其支集定理和值域条件进行了研究。

This thesis is composed of four sections, and its theme is concerned with Lagrange inversion formula In section one, some applications of Lagrange inversion related to Roridan group is sketched.

本文共分五章，主题是研究拉格郎日反演公式所包含的一个拟卷积公式和它的指数结构以及组合证明。

Based on conducting P/S wave joint inversion formula and ascertaining the inversion process, we make the P/S wave inversion of some seismic line of Sulige gas field, obtain the P wave impedance, S wave impedance and the V/V and limit distribution range of low speed mudstone, tight sandstone and effective sandstone respectively.

据此，在推导纵横波联合反演公式和确定反演过程的基础上，对苏里格气田某测线进行纵横波联合反演，得到纵波阻抗、横波阻抗和纵横波速度比，从而确定了低速泥岩、致密砂岩与有效砂岩的分布范围。

The one order differential model and convolutional model of impedance formula of amplitude versus offset inversion were established. Impedance inversion formula from AVO was derived based on Bayesian framework. Methods of using Huber function as prior model parameter distribution and covariance matrix from well log as constrains were developed. The P-wave impedance, S-wave impedance and density were calculated by the conjugate gradient algorithm.

为此建立了振幅随偏移距变化波阻抗反演公式的一阶差分模型及褶积模型，推导了基于贝叶斯理论的AVO波阻抗反演公式，给出了采用Huber分布作为模型参数的先验分布及测井数据的参数协方差矩阵作为约束条件的实现方法，并利用共轭梯度法计算了纵、横波阻抗及密度。

We establish the relation of inversion formulas among generalized Radon transform with known weight functions, the exponential Radon transform and classical Radon transform, furthermore obtain approximate inversion formula of the exponential Radon transform, the idea of approach above is applied to contour reconstruction and is generalized to n-dimentional euclidean space case. We discuss the support theorem, range condition of the exponential Radon transform.

本文建立了带权广义Radon变换、指数型Radon变换与古典Radon变换反演公式的关系，从而得到指数型Radon变换的近似反演公式，并且应用这种思想方法于轮廓重构，并将这一结果推广到任意维欧氏空间的情形；讨论了指数型Radon变换的支集定理及值域条件。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。