Sentence examples for by a corresponding formula from inspiring English sources

Problem (10) has a unique solution, and we can write this solution by a corresponding formula.

The existence of a unique solution for the problem with a linear operator Q is also discussed and this solution is given by a corresponding formula with the Mittag-Leffler function (Theorem 5).

The standard deviation of the five gene sets in a subset of animals was calculated based on the average z-score of the gene expression values of the five genes in a gene set by using the corresponding formula in Microsoft Excel.

The contribution of the lone saddle point (second part of (I_{12})) is given by the corresponding formula.

It could also have been rigorously proven by the method used for corresponding formula with d = 1 in [1].

If φ is a uniform formula, φ* is the corresponding formula with ∈ replaced by ε throughout.

A corresponding design formula is also proposed.

Finally, we derive a corresponding correction formula for the oil expulsion efficiency.

However, this has not been matched by a corresponding increase in the number of prison officers.

But their success need not be accompanied by a corresponding American Nightmare.

With this approach it is possible to add new numerical models by only plugging-in the corresponding formulas.