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球面域
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  “球面域”译为未确定词的双语例句
     If the integrated area is less than half spherical surface, inversion will be unique.
     如果进行积分的球面域小于半球面,反演将是唯一的。
短句来源
     Representing velocities by spherical harmonic expansion on the sphere after transformation can greatly reduce the number of spherical harmonic coefficients needed.
     在变换后的球面域上用球谐函数来拟合速度函数 ,达到降低球谐系数阶数的目的 .
短句来源
  相似匹配句对
     Compensation for spherical divergence and absorption in time-frequency domain
     时频球面发散和吸收补偿
短句来源
     John Domains
     John
短句来源
     Compensation for spherical dispersion and absorption in time-frequency-space domain
     时频空间球面发散与吸收补偿
短句来源
     Dynamic Audio Frequency Domain
     动态声频
短句来源
     Study of the spherical surface projection
     球面投影的研究
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  spherical domain
We solve the Laplace equation in an exterior infinite spherical domain with nonlinear (quadratic) boundary conditions on the spherical boundary.
      
We report on the integration of the kinematic dynamo problem in a spherical domain forced by velocity fields that are convective fluid flows resulting from a bifurcation analysis of the spherical Bénard problem.
      
Band-limited functions on a bounded spherical domain: the Slepian problem on the sphere
      
The vector spherical multipole technique is applied to calculate the electromagnetic field within a spherical domain bounded by a perfectly conducting shell and interiorly covered by an arbitrary number of absorbing layers.
      
It is based on the use of solutions of the Helmholtz equation within a spherical domain for expanding charge distributions with boundary conditions devised to make the electrostatic-potential integral particularly simple.
      
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Formula for the distribution of function directly obtained from the integral value along a. great circle on the spherical surface has been derived and the integral transform and its inverse transform are obtained. If the whole integrals on the great circle are used, the average of the function values for any point and its antipodal can be obtained. If the integrated area is less than half spherical surface, inversion will be unique. The results can be applied in geophysics, used in 3-D earth's structure inversion...

Formula for the distribution of function directly obtained from the integral value along a. great circle on the spherical surface has been derived and the integral transform and its inverse transform are obtained. If the whole integrals on the great circle are used, the average of the function values for any point and its antipodal can be obtained. If the integrated area is less than half spherical surface, inversion will be unique. The results can be applied in geophysics, used in 3-D earth's structure inversion from the seismic surface waves data.

本文给出了从沿球面上大圆的积分值直接反推球面上函数分布的关系式,即得到了球面上大圆的积分变换和反变换对。如利用的是整个大圆的积分,得到的是球面上任何点及其对蹠点上函数的平均值,或者说得到的是球面上函数的偶对称部分。如果进行积分的球面域小于半球面,反演将是唯一的。所得结果可应用于从地震表面波资料反演三维地球内部构造的地球物理问题。

If one complex surface- wave velocity function defined on a regional area is imitated directly by spherical harmonic functions, maybe very high coefficients are needed. By conformal mapping, a regional area of a global surface can be extended to a more larger area. Surface-wave velocities keep unchanged in conformal mapping.Velocities can be imitated by spherical harmonic functions on the larger region. This is able to reduce coefficients. The inversion of surface-wave group velocities turns into the linear...

If one complex surface- wave velocity function defined on a regional area is imitated directly by spherical harmonic functions, maybe very high coefficients are needed. By conformal mapping, a regional area of a global surface can be extended to a more larger area. Surface-wave velocities keep unchanged in conformal mapping.Velocities can be imitated by spherical harmonic functions on the larger region. This is able to reduce coefficients. The inversion of surface-wave group velocities turns into the linear inversion of spherical harmonic coefficients. By analyzing the coefficients, we can obtain the resolution. This method is not only applicable to the surface-wave group velocity inversion, but also to a wide variety of analysis of regional fields.

一个定义在球面局部区域的复杂的面波速度函数如果直接利用球谐函数拟合可能需要展开到很高阶的球谐系数.通过保角变换,把一个球面局部区域扩展到球面上更大的区域上,变换过程中面波速度保持不变,在变换后的球面域上用球谐函数来拟合速度函数,达到降低球谐系数阶数的目的,使面波群速度的反演变成了球谐系数的线性化反演.通过球谐系数分析,可得到反演的分辨率.该方法不仅适用于面波群速度反演,同样适用于各种球面区域场的分析.

Through conformal mapping,in which the group velocities keep unchanged,a regional spherical area can be extended to a much larger spherical segment area,and then to the whole sphere by analytical continuation. Representing velocities by spherical harmonic expansion on the sphere after transformation can greatly reduce the number of spherical harmonic coefficients needed.Thus the inversion of surface wave velocities turns into the linear inversion of spherical harmonic coefficients.The resolution kernel and...

Through conformal mapping,in which the group velocities keep unchanged,a regional spherical area can be extended to a much larger spherical segment area,and then to the whole sphere by analytical continuation. Representing velocities by spherical harmonic expansion on the sphere after transformation can greatly reduce the number of spherical harmonic coefficients needed.Thus the inversion of surface wave velocities turns into the linear inversion of spherical harmonic coefficients.The resolution kernel and the root square deviation of the inversion solution can be obtained by analyzing the spherical harmonic coefficients.The algorithm has advantages in a few aspects:fast computing speed,smooth contours,and clear tectonic boundaries.Theoretically,this method is applicable not only to the surface wave group velocity inversion,but also to various analyses of regional fields. [

通过保角变换 ,把一个球面局部区域扩展到球面上更大的球台域 ,再由球台域解析延拓到整个球面域 .作为约束条件 ,变换过程中面波速度保持不变 .在变换后的球面域上用球谐函数来拟合速度函数 ,达到降低球谐系数阶数的目的 .面波群速度的反演变成了球谐系数的线性化反演 ,由球谐系数计算反演分辨核以及方差 .该方法的优点是计算速度快 ,等值线光滑 ,构造界限清晰 ,该方法同样适用于各种局部球面区域的分析

 
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