We will also demonstrate the algorithm by applications to field data sets in the presentation.doi:10.1071/aseg2015ab272Haoran WangYaoguo LiChao ChenAseg Extended AbstractsD joint inversion of gravity gradiometry and magnetic data in spherical coordinates with the cross-gradient constraint. Wang H,Li ...
The existence of (proper) CKVs in these spacetimes, when the vorticities of the timelike and spatial congruences are both non zero, was relatively recently considered by Singh et al. [13], where it was shown that these spacetimes always admit a proper conformal Killing vector in the ...
where Ccoef is the vector of spherical harmonic coefficients C¯lm and S¯lm, DFFT is the vector of Fourier coefficients Ωqm and Δqm. Since H is left-invertible, its columns are linearly independent and the QR factorization H=QR exists. We have Ccoef=R−1QTDFFT (28) We can ...
Duetothesphericalsymmetryofthefieldsfrompointchargesandmasses,wewillhavetowaituntilweget,expressedinsphericalformtoshowthatthedivergence theoremactuallyworks–thatis,-D. Thecurlofavectorisdefinedtobe: +,/,yy+,/,zz],[Ax+Ay+Az]=,,A=[,/,xxxyz ...
bispherical force coefficient, AppendixA hcell: vertical height of fluid in thermocapillary cell,mm k: drop-size ratio,a1/a2 ki: dispersed or external phase thermal conductivity,W/m⋅K k^: thermal conductivity ratio,kd/ke ℓ: center-to-center drop distance, AppendixA,cm ...
where σ is the coefficient of the surface tension (N/m), к is the curvature of the interface (m), n→ is the vector of interface, ∇sσ is the surface tension gradient. The first term at the right of Eq. (58) is a net force caused by the local curvature of the interface. ...
Calculate the gradient of the following vector function: r = sqrt (x2 + y2 + z2). Gradient of a Vector: The result obtained by applying the gradient operator on a vector function will also be a vector function. The determination of the gradient of a specific vect...
13. The method of claim 12, further comprising: estimating a gravity vector; and computing a third angle of the angular position of the handheld device relative to the base station based on the gravity vector. 14. The method of claim 1, further comprising: associating a cursor on a screen...
Next, we use the LSC method to calculate the north and east gradient components from GGs using(A1)s=ξη=CsLCLL+DL−1Lwhere L is a vector containing residual GGs calculated by Eq. (8), s is a vector containing north (ξ) and east (η) gradient components, DL works as a filter ...
As a drawback, it is computationally more expensive because a certain mesh-based method (typically, finite element method [6] and boundary element method [7]) is necessary to solve the Ampere's law (or its equivalence) in terms of the vector potential [8]. Moreover, the current-density ...