Notice that it is possible to derive a HMM using all 15 states, but the derivation of transition probabilities gets more involved.
For example, it is possible to derive a closed expression for the wavenumber dependency with diffusion constants and the derivative of the linear reaction terms.
Thereby, demonstrating that it is possible to derive modern atmospheric 13CO2 values from phytolith carbon.
Therefore we present a framework in which it is possible to derive one from the other.
Moreover, it is possible to derive these fixed points entirely within the logic.
It is possible to derive the values of the constants used in constitutive equations from the obtained experimental results.
If the Eddington ratio is known, under several assumptions it is possible to derive distance independent luminosities.
It is possible to derive an overall global devolatilization rate constant that agrees reasonably with the measurements.
The point of this exercise, however, was to show that it is possible to derive the law of excluded middle from the law of non-contradiction.
Also it was proven that, within the experimental uncertainty, it is possible to derive reliable solubility data from the calorimetric experiments.
From these diagrams it is possible to derive and consequently to determine tensile strength, yield strength and a Modulus of elasticity.
