A challenging difficulty in solving the radial Dirac eigenvalue problem numerically is the presence of spurious (unphysical) eigenvalues, among the genuine ones, that are neither related to mathematical interpretations nor to physical explanations.
Due to its simplicity and robustness the mathematical interpretation presented in this manuscript provides meaningful and compelling information about stem cell frequency and the rate these cells expand via symmetric division.
Although Huygens later rejected certain of the Cartesian tenets including the identification of extension and body, he always affirmed that mechanical explanations were essential in science, a fact that later was to have an important influence on his mathematical interpretation of both light and gravitation.
Several interpretations are possible as to where the Birkeland currents close in this case: A naive mathematical interpretation says that the currents close through the polar cap, through ({{mathbf {J}}}_{perp, cf}), which is derived from (J_u) and the current continuity equation.
As opposed to these examples of theoretical models testing the influence of hypothetic scenarios that involved kinetic changes in the stem cell pool using numerical simulation, our model is a mathematical interpretation of experimental observations enabling effective measurement of a specific cellular compartment (i.e. LTP cells) known to govern tissue homeostasis or oncogenesis.
Some additional mathematical analysis shows that the stochastic differential equation (18) and its solution equation (19) have a precise mathematical interpretation.
Many of the problems of geophysics are analogous to those of astronomy because the subject studied is rarely under direct observation, and conclusions must be drawn largely on the basis of mathematical interpretation of physical measurements.
The basic mathematical interpretation of this concept is presented below.
Here is a simple mathematical interpretation of sensing energy reduction.
There is another paradox in the mathematical interpretation of the standard of proof.
