位场

So the method has the characteristic of brachylogy and speediness. It not only can qualitative and also calculate quantitative the position of field source; It can draw availably the basic outline of anomalies source.

该方法具有简明、快速的特点，它不仅可以定性、同时可以定量地进行场源位置的计算，可有效圈出异常源的基本轮廓，所以较其他方法可更广泛地应用于更多的地质情况，尤其适合大面积位场数据的分析和解释。

In this paper, taking the downward continuation of potential field as an inverse problem of upward continuation, we obtain a convolution type linear integral equation for downward continuation. Making use of the orthogonal symmetry characteristic of Fourier transform matrix, and combining the principles of singular value decomposition of matrix and generalized inverse, we proposed a stable generalized inverse method for downward continuation of potential field, called wavenumber domain generalized inverse algorithm, which doesn't need the computation for inverse matrix. It resolves the instability of potential field downward continuation of large depth.

本文通过把位场向下延拓视为向上延拓的反问题，得到向下延拓的褶积型线性积分方程，再利用Fourier变换矩阵的正交对称特性，并结合矩阵的奇异值分解和广义逆原理，提出了一种稳定的不需要进行求逆运算的位场向下延拓广义逆方法——波数域广义逆算法，解决了位场大深度向下延拓的不稳定性问题。

According to the Poisson equation of gravity-magnetic potential, we derive the relation of cosine transform spectrum between magnetic potential and magnetic field constituent and deduce the cosine transform spectrum formula of n degree derivatives using the cosine transform.

根据重磁位场的泊松公式，利用余弦变换给出磁位与磁场分量间的余弦变换谱关系，推导出磁异常n阶导数的余弦变换谱公式。

This paper has given a thorough investigation into the application of BP neural network to gravitational density interface inversion as well as the implementation of wavelet theory in potential field decomposition and, on such a basis, analysed and evaluated the prospect of applying wavelet neural network to the inversion of gravitational and magnetic data.

重磁数据处理是地球探测与信息技术学科中重磁方法、理论在生产实践工作中的重要环节，其中反演问题和位场分离除了具备自身的作用外，两者并不是截然分开的。位场分离可以为反演问题提供更加可靠的先验信息，对提高反演精度具有一定的作用。反演问题是地球物理的核心问题。增

Downward continuation is an important operation in potential field data processing and inversion, but its instability problem influences its application in many processing and inversion techniques.

位场向下延拓是位场数据处理和反演中的重要运算，但是它的不稳定性影响了它在许多处理和反演方法技术中的应用。

In this paper, an iterative approach to potential field continuation from curved surface to plane is proposed. The continuation of potential field data from a curved surface to a plane can be viewed as an inverse problem of upward continuation of plane potential field data, getting a linear integral equation. Through viewing the potential field data on the curved surface as the data on the average elevation plane of the curved surface, then using the wavenumber domain generalized inverse algorithm to downward continue the data from the average elevation plane to a given plane, and a topography correction based on the change of curved surface relative to its average elevation is implemented to the downward continued data on the given plane, finally the downward continued data plane is upward continued to the curved surface.

本文提出一种位场数据曲化平的迭代方法，即通过把位场数据曲化平视为平面位场数据向上延拓的反问题，得到曲化平的线性积分方程，再把曲面上位场数据视为曲面平均高程面上的位场数据，利用向下延拓的波数域广义逆算法把平均高程面上的位场数据向下延拓到设定平面上，再根据曲面和其平均高程面的相对起伏对设定平面上的向下延拓数据进行起伏校正，最后再把所得平面上的位场数据向上延拓得到曲面上的位场数据，并进行迭代。

This paper reviews the basic theory of wavelet transform and its applications in potential field.

本文总结了位场小波变换的理论基础及应用现状，介绍了位场小波基函数的概念。

According to the features of potential field inversion, the mechanism of neural network are system analyzed.

根据位场反演的特点，系统研究了神经网络的运行机制，首次对比了拟BP网络与Hopfield网络在位场反演中的应用，选择了更适合于位场反演的神经网络模型一拟BP网络模型； 2。

Based on self-consistent -reaction -field theory of solvent effect, the data of acetones frequency shift was calculated by Hartree-Fock quantum chemeistry method.with Gaussian 98 procedure in RHF/6-31+G level .the connected data was compared with experimental one .

溶剂效应是研究这些变化的重要理论知识，其中包括&经典力场动力学理论，自洽反应场，QM—MM模型，配位场理论等&，它们都能解释一些实验现象和解决一些问题，但都有局限性。

This paper presents a rapid inversion method for 3D apparent density based on separation and continuation of potential field. The new method is carried out in the following three steps. Firstly, the gravity field on the plane is separated by a cutting method into several parts corresponding to strata of different depth. Secondly, by the way of downward continuation, the field resulted from different strata is respectively reduced to a plane corresponding to its depth.

文中提出了一种基于位场分离与延拓的视密度快速反演方法：首先应用场分离的切割法对平面上的重力场进行不同深度层源的切割分离；然后运用大深度向下延拓方法将各层的场延拓至相应的深度；最后反演出各深度层的密度。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。