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。

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。

This method was to avoid high frequency false wave and compress the effective signals and cause the decrease on inversion precision. The inversion formula was rederived.

这种做法在消除高频假波的同时会对有效信号进行一定的压制，造成反演精度的降低。

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。

Optimizing and Realization of the Finite Field Inversion Algorithm Based on FPGA;2. The stability and operation of the inversion formula for Toeplitz matrices are also considered.

利用两个线性方程组是否有解给出了Toeplitz矩阵可逆的条件，表明Toeplitz矩阵之逆阵可以表示为φ-循环矩阵与上三角Toeplitz矩阵的乘积之和，给出了其逆矩阵列的递推公式，得到了求Toeplitz矩阵之逆矩阵的快速算法。

The linearly constrained minimum variance algorithm based on the power inversion array and its iterative formula are deduced in the paper, which avoids the complexities of matrix inversion.

详细推导了基于功率倒置阵列的线性约束最小方差算法及其递推公式，避免了矩阵求逆的复杂运算。

A structure of space-time diversity virtual double-route weighting interference mitigating is proposed, and the corresponding practical algorithm is derived in detail using block matrix inversion formula and matrix inversion theory for mitigating interference signals from both other cells and other users of local cell in the DS-CDMA up-link communication case. Performances of such algorithm are thoroughly analyzed through simulation and analytical results. The up-link and down-link channel characters and their relationship of DS-CDMA communication system are thoroughly analyzed, and the relationship of space-time diversity weighting matrix between time division duplexing and frequency division duplexing these two different transmission ways is derived.

本论文深入地比较了DS-CDMA通信系统的上传情形与下传情形的信道特性及其它们相互之间的关系；深入地分析并得到了时分双工和频分双工两种不同的传输模式下的上传情形与下传情形的空时分集权系数矩阵之间的数量关系，从而使得能够利用在基站端所拥有的上传情形的空时分集接收权系数矩阵信息以及其他信息在基站端直接形成空时分集发射权系数矩阵；推导了下传情形移动用户接收机端的最优组合接收策略及其算法；进一步地，对时分双工传输模式下的下传情形的通信系统性能和频分双工传输模式下的下传情形的通信系统性能进行了深入的比较仿真研究。

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。

Then the damped least squares inversion method is designed on the base of the analytical formula of the spheriform structures detection in the whole space. With this method, the inversion for multi-group spheriform water-bearing structures models is done.

另外，探讨了其他形状的有限体积的含水构造超前探测异常规律，提出了&等效球体&的概念，亦在全空间球体含水构造超前探测解析公式的基础上设计了快速反演方法。

In this paper, after taking over coupling effect between electronic spin and orbital angular momentum, to revise the formula of electronic angular momentum in Bohr's theory, and electronic speed formula is obtained in a single-electron system, and to correct the energy level formula of atomic orbit in Schr? dinger's method by relativistic effect, the theoretical improving formula is built for spectrum fine splitting calculation, the calculated values are in good agreement with experimental ones, and reflect changing law of spectrum fine splitting values.

本文在考虑了电子的自旋角动量与轨道角动量的耦合作用后，通过对Bohr理论中的电子运动角动量的修改，推导出单电子体系的电子速度公式，结合对Schrdinger的原子轨道能级表达式相对论效应修正，从而得出本文的氢及类氢离子光谱精细结构值的理论计算公式，应用此改进公式，所得的计算值与实验观测值符合得很好，计算结果也反映了氢及类氢离子光谱精细结构数据变化的规律性。

Cable dampener cannot be rolled up but must be hung over the cable.

缆帆不能被卷起，必须保证处于展开状态

"This skylark is a present from my master," he says.

"这只云雀是我主人献上的礼物。"他说。