This equation is derived by considering a flow balance for an infinitesimally small volume element located anywhere within a body of saturated aquifer.
12.
With this in mind, we can find the form of the unit volume element on spacetime in terms of the gammas as follows.
13.
If the coordinate system is just a rotation of the original coordinate system, then the volume element in k-prime space will be
14.
The first part about volume elements relates to some work I've already done, and that I'm trying to generalise.
15.
In CLSM a specimen is illuminated by a point laser source, and each volume element is associated with a discrete scattering or fluorescence intensity.
16.
In two dimensions, volume is just area, and a volume element gives a way to determine the area of parts of the surface.
17.
Align the z-axis with the axis of the disc and define a volume element as " sr drd? " } }, then
18.
The resolution of features produced correspond to a smallest volume element of 2.5 x 2.5 x 2.7 mm or less.
19.
The integration variable, \ mathrm { d } ^ 3 \ mathbf r', is a volume element around position \ mathbf r '.
20.
Under changes of coordinates, the volume element changes by the absolute value of the Jacobian determinant of the coordinate transformation ( by the 1-density.
