While it is obvious that large-scale gravity studies should account for the sphericity of the Earth, each case should be examined. If a geometry model is very large for the 3D-gravity calculation, it cannot be correctly defined in Cartesian coordinates. Because of the Earth's curvature it is...
Earth Curvature Calculation I have written about how to compute the curvature of the Earth over a given distance in anotherpostusing Equation 1, which relates the deviation from horizontal to the distance from the measurement origin. Eq. 1 ...
So that's our notion of how you parallel translate from location to location. And now it's just a calculation to use our diagnostic tool, what we want to do is now that we know how to move vectors around on some general surface where we have these numbers gamma, that say either you...
and a similar calculation gives the formula for H(p). Thus if V and W are tangent vector fields that are linearly independent at each point of an oriented region, we have vector field equations S(V)×S(W)=KV×W,S(V)×W+V×S(W)=2HV×W. These may be solved for K and H by ...
On the Influence of Earth's Rotation on Light Propagation in Waveguides We analyse the influence of Earth's rotation (both around its own axis and around the Sun) on the propagation of light in optical media. This is done using both geometrical optics and a perturbative calculation based on ...
The time complexity of the proposed ORC-based community detection algorithm boils down to the calculation of the edge ORC of the network. The time complexity to compute the ORC for each edge is essentially the Wasserstein distance computation complexity based on linear programming. Practical run time...
Liu et al. [1] developed a curvature analytical model depicting the roll straightening process of h-section beam and I-section beam, and presented a calculation procedure for the stepwise change of bending stress based on a linear strain hardening material model. Guan et al [2] studied the ...
Fixed a crash that occurred due to text area calculation. Fixed a crash that occurred when talking to a minor faction hero in an army for the first time. Fixed a crash that occurred while refreshing army visuals after loading the game. Fixed a crash that occurred after loading an old save...
arXiv:gr-qc/0504054v320Jun2005Theone-loopeffectiveactioninφ4theorycouplednon-linearlywithcurvaturepoweranddynamicaloriginofcosmologicalconstantTInagaki† ,SNojiri‡andSDOdintsov§¶†SchoolofChemistry,PhysicsandEarthScience,FlindersUniversity,Adelaide,SA5001,AUSTRALIA‡DepartmentofAppliedPhysics,NationalDe...
Eqs. 50–68 in29 explain the detailed calculation procedure of the Gauss curvatures using the pseudo physics quantities. Figure 2 presents the example plots of the smooth pseudo physics quantities and the associated principal Gauss curvatures near the peak magnitude zone marked by red box in Fig....