Sentence examples for a solution formula from inspiring English sources

First, we construct the Green function using Fourier series expansion in Sections 2 and 3 and derive a Sobolev type inequality from a solution formula to the time-periodic boundary value problem in Section 4. Using the solution formula, we compute the best constant and best function of the Sobolev type inequality as in [5].

Whole blood was transferred from an anticoagulant citrate dextrose solution formula A-capped tube (ACD-A) to a conical tube (Nalgene, Rochester, NY, USA).

One would like to know whether there is a specific solution formula that applies to all of the problem instances.

An intelligent model for pollutant source identification has been established using the basic genetic algorithm (BGA) as an optimization search tool and applying an analytic solution formula of one-dimensional unsteady water quality equation to construct the objective function.

In this paper an explicit solution formula was established under the condition that the operator L is bounded.

In Theorem 3, we establish existence and uniqueness results for ((mathcal{IP}1)) and give an explicit solution formula.

We transfer the PR problem to a standard Riemann boundary value problem by the exponential conformal mapping, and the solution formula and a set of conditions for the solvability are obtained.

The following lemma (see [5, Lemma ]) is extensively used in the sequel; it gives a solution representation formula for (2.1) in terms of the fundamental solution.

The likelihood that this would confer clinical equivalence is reinforced by a pharmacokinetic analysis which showed that the chosen HFA solution formula gave similar systemic absorption from the lung as Pulmicort®.

The two sides are meeting for the first time in nearly three years to negotiate an end to the Palestinian-Israeli conflict based on the two-state solution formula.

Formulas (2)–(4) are iterated to obtain the optimal solution formula (1).