This means that three different, particular results of number theory (FERZ, FEJT, FEDE) are equivalent to six general summation formulae of Fourier analysis, signal analysis and numerical analysis, namely PSF, PDPS, GPDF, ASF, ARKF, EMSF.
The hypothesis and formula of HLM analysis in the present study were shown below as follows.
Borm, G., Fransen, J. & Lemmens, W. A simple sample size formula for analysis of covariance in randomized clinical trials.
To expand a geometrical model of diffraction efficiency and its interpretation to the multifocal optic and to introduce formulas for analysis of far and near light distribution and their application to multifocal intraocular lenses (IOLs) and to diffraction efficiency optimization.
The Flesch formula has been demonstrated to be reliable and highly correlated with other readability formulae for analysis of health-based literature [ 48].
For the following derivations, we use Shannon's capacity formula for ease of analysis and without loss of generality.
Then it determines coefficient of the formula via analysis of the physical and chemical properties and volatilization properties of diesel oil.
Using semantic formulas as units of analysis, EFL refusal responses were compared with similar data elicited from native speakers of English responding in English and native speakers of Arabic responding in Arabic.
For the formula of the overlapping analysis, we defined the number of genes in the final core sub-network1 as (CS) and the final core sub-network2 as (CS).
As was previously stated, the results of the quadratic formula analysis of LT healthy individuals showed that the population mean of the coefficient a of the quadratic expression was positive (a concave U-shaped pattern), which means that LT individuals' once declining IFN production recovered as they aged.
