The equations above are oversimplified but can be used for crystals in certain orientations.
The equations above clearly indicate that |ρ X | < 1 and |ρ L,X | < 1.
The governing equations above are solved using a Crank-Nicolson-type implicit finite-difference scheme.
The equations above can be reformed and substituted with RsD attributes as λ = λ i, h PHY = λ i MAC.
Hence, combining equations above and using the classical Fourier projection method, equations (17 - 20 17 - 20 afollowome afterraic manipulationsome
The equations above can be applied either to forward or backward attributable risk and to separate components, simply substituting the related attributable numbers in Eq. (8a).
We have chosen the reaction parameters as β = 4.4, γ = 3.4, δ = 1, and employ a relatively weak diffusion with α = 1 0 − 2. The equations above have to be supplemented by suitable initial conditions.
Normalization of mij with respect to its maximum in the defining equations above will help quantify the difference in the spatial profile (patterns) in the image, rather than the differences in the magnitude of the off-diagonal elements.
At its heart is a property of thermodynamic systems called entropy – in the equations above it is represented by "S" – in loose terms, a measure of the amount of disorder within a system.
According to the equations above, x = 7 and y = 5.
The linear equations above hold for all the feature points.
