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Therefore, Williamson–Hall equation is modified by an anisotropic strain ε.
Therefore, the Carman equation is modified to fit the experimental data with the mean deviation of 4%.
The Hamilton Jacobi Partial Differential Equation (H-J PDE), level set equation, is modified to increase the performance.
In addition, traditional azimuth displacement equation is modified to get the correct azimuth position of a moving target.
To determine this relation, the following equation is modified from that of Darwish (2008) and Jaber and Bonney (2003).
The permeation equation is modified in order to account for Reynolds number variations and non-elementary surface reactions on both sides of the membrane.
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Gassmann's equation was modified for the rocks except high-porosity unconsolidated sediments.
A group contribution-based equation was modified to calculate the density as a function of temperature.
The well-known Monod equation was modified to describe the relationship between the specific growth rate and the osmotic pressure.
For this purpose, the Debye equation was modified and the term (Ei/E) was introduced (Ei=internal electric field, E=applied external electric field).
Using a linear relationship between the hysteresis and ΔTS, this equation was modified with the hysteresis replaced with ΔTS.
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