Sentence examples for a corresponding formula from inspiring English sources

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

At the end of [7], the authors asked whether there exists a corresponding formula for P ( 3, n ).

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 corresponding formula for a Fourier transform will be used below F(\mathbf{q}) = \int f(\mathbf{r}) \mathrm{e}^{-\mathrm{i}\mathbf{q}\cdot\mathbf{r}}\mathrm{d}\mathbf{r} where the integral is summed over all possible values of the position vector 'r' within the crystal.

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

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.

A corresponding design formula is also proposed.

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

We define a metric and a Markovian connection on the path space of a Riemannian manifold which are different from those introduced in [CM] and prove a corresponding Weitzenböck formula.

Given a normal logic program, we show that by adding, for each loop in the program, a corresponding loop formula to the program's completion, we obtain a one-to-one correspondence between the answer sets of the program and the models of the resulting propositional theory.

(i) The development starts from the effective medium theory for a nanocomposite with perfect interface, in which the corresponding formula is expressed in terms of complex conductivity moduli for the dielectric constituent phases.