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The present paper gives the detailed description of developed mathematical algorithm as well as application examples.
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Fractional calculus (see [1]) offers a very suggestive and stimulating scenario where we have the convergence of deep and fundamental mathematical questions, development of appropriate numerical algorithms, as well as the applications to modelizations in different frameworks.
We tested if the mathematical algorithms as applied here would predict such behaviour; for this purpose, the simulations were run with inducer concentrations of 0, 0.5, 1.0, 1.5 and 2.5 µg/mL, but applying initial condition vectors that were taken from the end of the earlier simulations at saturating inducer levels (on→off simulation).
The LSSVM mathematical algorithm provides good results, as are indicated by an overall average absolute relative deviation of the predicted property from the real data of 1.16%, and an overall squared correlation coefficient of 0.9982.
The following mathematical algorithm is suggested as a method of aggregating the ratings from various curators and outputting the final table (note again that these formulae are open to modification as the project develops).
A mathematical algorithm (referred to as "scoring function") is then used to evaluate the fitness between the docked compound and the target.
Other methods of converting phase to amplitude, including mathematical algorithms such as power series can be used, particularly in a software NCO.
Positronics of atomistic imperfections such as free-volume interfacial voids in nanostructurized solids with positron-trapping modes changed by incorporated nanoparticles is developed as unified mathematical algorithm of substitutional positron-positronium trapping in the same host matrix.
As it is the combined profile or pattern of protein expression differences which is applied as a mathematical algorithm, the identity of each component protein is not required.
Haplotypes directly observed in an individual occasionally differed from those identified as the most likely ones by the mathematical algorithm implemented in PHASE 2.1.1 [17] (Table 3).
The most basic step they can take to protect passwords is camouflage them with basic encryption — what is known as "hashing" — in which they mash-up a password with a mathematical algorithm and store only the encoded, or "hashed," version.
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