Even though van der Pauw technique was initially developed for isotropic conductors, Price  proved that it could also be applied to aniso-tropic ones with tensor conductivity in order to measure the geometric mean of the conductivity tensor
's principal components in the plane of the conductors, provided that the x and y axes are along the conductivity tensor
's principal axes.
In anisotropic models, white matter conductivity tensor
distributions were interpolated using principal eigenvectors of diffusion tensor images and assumptions of white matter longitudinal and transverse conductivities.
To characterize the groundwater flow through the carbonate layers of the studied area and verify the importance of the fracture networks over the karst conduits, a methodology has been proposed to estimate the hydraulic conductivity tensor
The inverse relation [mathematical expression not reproducible] uses the conductivity tensor
where K is the hydraulic conductivity tensor
, which is expressed as follows:
Now the components of the effective conductivity tensor
Values of the conductivity tensor
components in PML which is perpendicular to the axis Or (see 4 in Fig.
The above equation clearly implies that both [xi] and [eta] components of the conductivity tensor
where [PHI] is the electric potential, M represents the tissue conductivity tensor
field, and [OMEGA] is the entire head cavity, including the brain.
The description of each domain is based on a generalized version of Ohm's law defining the relationship between the electric field E, derived from the potential [phi](V), the current density J, and the conductivity tensor
This is to say that the heat flow and the temperature gradient are vector quantities related by the thermal conductivity tensor
. In the isotropic media, this tensor is reduced to unity matrix multiplied by a coefficient, which is the familiar scalar thermal conductivity.
where [K.=] = effective water conductivity tensor
([kg.sub.water.sup.2][m.sub.moist wood.sup.-1] [s.sup.-1][J.sup.-1]), function of MC and temperature.