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A related Gauss Ostrogradskii formula is obtained.
The formula is obtained from the analytic solution of an elastic composite cylinder under axial compression.
This formula is obtained by discretizing and localizing a standard Littlewood-Paley decomposition.
Based on this model, an explicit formula is obtained for the axial buckling strain.
An explicit reconstruction formula is obtained and implemented by using the fast Fourier transform.
An asymptotic formula is obtained for the eigenvalues which gives reasonable good agreement with the exact results.
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The basic idea behind obtaining such formula is obtaining a recurrence relation satisfied by the linearization coefficients, and then solving it.
An empirical formula was obtained for the critical value of Rayleigh number.
Numerical calculations where performed, and an analytical formula was obtained for the very fast reaction limit.
Therefore, the calibration formula was obtained through the comparison of ideal fluorescence lifetimes and retrieved ones.
A simplified formula was obtained via linear regression, which enables architects to quickly calculate the required window area during the preliminary design phase.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com