查询词典 inversion formula

In Chapter 2, we mainly study the exact inversion and approximate inversion of the exponential Radon transform, and obtain the Sobolev analytic results; for convenience of practical calculation, we establish the another form of reconstruction formula through harmonic decomposition.

第二章我们主要讨论平面上的指数型Radon变换的精确反演和近似反演，得到了它们的有关Sobolev分析结果；为了实际计算的方便，我们用调和分解法作了进一步讨论，得到了重构公式的另一种表达形式。

The main content of this thesis is to find and prove some summation and transformation formulae of basic hypergeometric series by the modified Cauchy method,operator method and inversion techniques,which include many well-known results as special cases,for example,q-Saalschiitz summation formula,Baileys _6ψ_6 summation formula,non-terminating Watson transformation formula and Rogers-Ramanujan identities etc.

本文的主要内容是利用修正的Cauchy方法、算子方法和组合反演技巧来发现和证明一些基本超几何级数求和公式和变换公式，其中包含一些著名的公式，如q-Saalschüz求和公式、Bailey的_6ψ_6求和公式和非终止的Watson变换公式等作为其特殊情况。

Then we prove the isometrical identity and inversion formula of the solution of the wave equation.

然后，证明这个二阶波动方程的解具有反演公式及等距恒等式。

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。

In chapter 4, the prime reasons for the ill-posed inversion are analyzed at first and then the remedy method is described. The basic formula of stochastic inversion method tor impedance with broarband constraint of well log is deduced from basic level.

第二章首先将信号分析中的MA过程的定阶问题引入到地震子波的提取中，发展了利用地震记录的高阶累积量矩阵的特征值的变化估计地震子波的有效长度的方法。

At first, the conventional elastic parameters inversion based on Shuey formula and simplified Shuey formula is discussed for the model of Chinese and Mexican, and the errors of inversion elastic parameters is analyzed.

对于不同地区、不同深度的含气和含水砂岩等各种模型其反演参数的误差情况不同，并且利用不同的入射角度对应的反射系数反演的误差也相差很大，许多情况反演的误差甚至非常大，没有一定的规律可循。

The eigenvalues of circulant matrices compose of the discrete Fourier transform of the first line, on the contrary, the elements of the first line can recovered from the Fourier inversion formula, all circulant matrices have the same eigenvector that with the same order.

循环矩阵的特征值由其第一行元素的离散傅里叶变换组成，并且第一行元素是特征值的傅里叶变换的逆，而且所有同阶循环矩阵的特征向量相同。

By means of hydration experiment and immersing by actual drilling fluid in field, the inversion formula of previous acoustictime is setted up based on the acoustictime after hydration and hydration time.

通过实验室水化实验以及矿场实际钻井液浸泡规律建立了基于水化后声波时差和水化时间的原状声波时差反演公式。

Furthermore, the Taylor's expansion of $\varphi(t_1,t_2)$ is given and the relation between chance distribution and characteristic function such as inversion formula is obtained.

此外，我们还给出了特征函数$\varphi(t_1，t_2)$的泰勒展式，得到了机会分布与特征函数的关系式反演公式，唯一性定理，正极限定理，逆极限定理等。

Base on the threshold voltage model presented, an intrinsic drain current model in strong inversion region is developed, which can describe the short-channel effects such as DIBL and charge-sharing effect well, and give special considerations for mobility, velocity saturation, channel length modulation and quantum effect. Based on the front interface surface potential model, a formula of unified inversion charge is derived, and an intrinsic drain current model in middle inversion region is developed.

利用所提出的深亚微米FD器件正、背界面表面势模型，建立了一个能够完整描述深亚微米FD器件本征亚阈漏电流特性的模型，能够准确地描述DIBL效应和背沟道漏电效应；利用所提出的阈值电压模型，建立了深亚微米全耗尽器件的本征强反型电流模型，很好地描述包括DIBL效应、电荷分配效应在内的小尺寸效应，对迁移率、速度饱和效应、沟道长度调制效应和量子效应进行了特别的考虑；利用所提出的深亚微米FD器件正界面表面势模型，推导了统一反型层电荷公式，建立了深亚微米FD器件的本征中反型漏电流模型。

If you are unfortunate enough to the lovelorn, please tell me, I will help you out, really, please contact me!

如果你不幸失恋了，请告诉我，我会帮助你摆脱困境，真的，请联系我啦！

China's plan to cut energy intensity by 20 percent and pollutant discharges by 10 percent between 2006 and 2010 is a case in point.

中国计划在2006年到2010间降低20%的能源强度和减少10%的主要污染物排放，就是一个这样的例子。