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  equation
    Wavelet and Homotopy Methods for the Inverse Problems of Wave Equation in Seismic Prospecting
    地震勘探中波动方程反问题的小波、同伦方法
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    SOME PROBLEMS CONCERNING THE WAVE EQUATION MIGRATION AND ITS APPLICATION
    波动方程叠加偏移及应用中的几个问题——关于波动方程偏移之一
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    WAVE EQUATION MIGRATION FOR LARGE INCLINATION
    大倾角波动方程偏移
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    THE LARGE DIP WAVE EQUATION MIGRATION IN TIME-DOMAIN
    在时间域中的大倾角波动方程偏移
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    The Precursory Characteristics of Magnetic Declination and Its Time-magnitude Empirical Equation
    磁偏角前兆特征与时间震级经验方程
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    New methods Research On Wave-equation Forward Modeling & Imaging Under Complex Structure Conditions
    复杂构造波动方程波场模拟及成像新方法研究
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    INTERPOLATION IN THE FOURIER TRANSFORM DOMAIN WITH APPLICATIONS TO F-K MIGRATION
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    All-dip finite-difference wave-equation migration using wave-field continuation along upgoing wavefront
    波场沿上行波波前延拓的全倾角有限差分法波动方程偏移
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  equation
For these polynomials we prove an integral representation, a combinatorial formula, Pieri rules, Cauchy identity, and we also show that they do not satisfy any rationalq-difference equation.
      
The Yang-Baxter equation admits two classes of elliptic solutions, the vertex type and the face type.
      
The inverse conductivity problem to the the elliptic equation ${\rm div}((1+(k-1)\chi_D)\nabla u)=0\ {\rm in }\ \Omega$ is considered.
      
As applications, the wave equation on?+ × ?+ and the heat equation in a semi-infinite rod are considered in detail.
      
Pointwise fourier inversion: A wave equation approach
      
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Through the use of approximate expessions in the form of quadratic equations for the sum as well as the difference of principal stresses along any definite vertical line in foundation soil subjected to triangular and trapezoidal loading due to earth embankments. the author has derived formulas for critical load corresponding to the condition that plastic zone developed it tangential to the vertical line under consideration. Based on studies of the developed plastic zones in the foundation soil due to such a...

Through the use of approximate expessions in the form of quadratic equations for the sum as well as the difference of principal stresses along any definite vertical line in foundation soil subjected to triangular and trapezoidal loading due to earth embankments. the author has derived formulas for critical load corresponding to the condition that plastic zone developed it tangential to the vertical line under consideration. Based on studies of the developed plastic zones in the foundation soil due to such a triangular and trapezoidal loading. it is proposed, that the criterion for determining the critical load on the foundation roil is that the developed plastic zone is tangential to a vertical line at one quater base width from the center line. Special considerations are given to the cases for convenient soil as well at for saturated clay of zero degree of consolidation. Charts convenient for pratical use are also prepared. Finally, numerical examples are presented which show that the proposed formulas are quite in conformity with field observations in engineering practice.

作者以二次方程代替在路堤及土坝的三角形与梯形荷载下地基中沿各铅垂线上的主应力和与主应力差的表示式,得出了相应于塑性区发展至与各指定的铅垂线相切的临界荷载公式.在比较全面地研究了三角形与梯形荷载下特有的塑性区发展规律的基础上,提出了以塑性区与铅垂线X=B/4相切作为确定的基的许可荷载的临界条件.文中还就无粘性土以及固结度为零的饱和粘土的临界荷载问题进行专门的讨论,给出了便于实际应用的图表. 最后举出的两个实际工程例子验证了本文提出的理论与实践的一致性.

This paper applies approximate equation to describe the characteristic curve of an axial flow fan, for the purpose of determining its working system (H, Q Values),and is intended to apply the equation method for enlarging the extent of the analy-tical method, commonly used for determining the working system of axial flow fan and the ventilating syetem of a mine.It is hoped that the general application of the equation method may be helpful to those who are engaged in mine ventilation works.

本文应用近似方程来描叙轴流式扇风机的特性曲线,其目的要确定矿井轴流式扇风机的工作制度(H·Q值),并且企图使扇风机工作制度与矿井通风制度上应用方程法来扩大分析法的范围.希望这种方程法的应用,对从事矿井通风工作者有所帮助.

Assuming that the cross section of entry is circular, and rock pressure in an undisturbed condition is σ_y~(∞)=Y=γh, σ_x~(∞)=X=λγh, τ_xy~(∞)=0.The author has investigated the elasto-plastic stress field around such entry and found that the elasto-plastic boundary is no more circular, but having a different form the equation of which may generally be: b=b_0+λ_2b_1(??)λ_2--small parameter.

本文讨论圆形坑道围岩弹塑性应力计算问题,采用了小参数方法求解.设未受扰动岩体的初始应力状态为: σ_y~(∞)=Y=γh,σ_ω~(∞)=X=λγh,τ_(ωy)~(∞)=0 理论研究证明,弹塑性边界已不再是一个圆了,而是一椭圆形,其方程为 b=b_0+λ_2b_1(ρ) 式中,λ_2-小参数.

 
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