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Genes were derived based on the genome coordinates.
In this instance, population figures were derived based on available point data (the population of known localities).
The population figures were derived based on available point data (the population of known localities - 30,000 in all).
Empirical formulae were derived based on the experimental and numerical results.
New normal strain component formulas were derived based on the thin shell theory.
The response surface methodology models were derived based on the results.
The time evolutions of magnetic flux and magnetic helicity were derived based on vector magnetograph observations.
Theoretical algorithms were derived based on the Component method, kinematic hardening model, and energy conservation theory.
The values of 40 parameters were derived based on the Kurata-Isida equation for critical temperature.
Some of the analytical expressions were derived based on the matrix representation, and they were utilized for analysis.
The thermal conductivity expressions of loose coal were derived based on the simulation method of thermal resistance.
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