Sentence examples for established the uniqueness from inspiring English sources
Previous studies on propagating front in neural fields involving a single axonal finite transmission speed [11] have established the uniqueness of the traveling wave front.
In this paper, by using the fixed point theorem of mixed monotone operator in cone, we have established the uniqueness of positive solutions for a class of singular fractional differential equations with integral boundary conditions.
Afterward, Bhaskar and Lakshmikantham [7] introduced the notion of coupled fixed points of a given two-variable mapping F. They also established the uniqueness of coupled fixed point for the mapping F, and successfully applied their results to the problem of existence and uniqueness of solution for a periodic boundary value problem.
Genetic and antigenic characterization established the uniqueness of this virus circulating in dogs.
In published and yet-to-be-published work, Sztein and VerBerkmoes have established the uniqueness and commonalities between individual microbial and human proteomes.
We established the uniqueness of CYP2D gene sequences by searching for the entire human genome (excluding the CYP2D locus) regions with high sequence similarity to the CYP2D genes by BLAT (Kent, 2002).
We classify the solutions and establish the uniqueness of radially symmetric solutions.
We establish the uniqueness for the nonsmooth dissipation coefficient and prove the convergence property of the minimizer of the regularizing cost functional for the inverse problem theoretically.
Based on a conceptual and methodological framework proposed by Robert Rosen we elaborate such an anticipatory view that establishes the uniqueness of design compared to these paradigms.
We establish the uniqueness of this solution for a given choice of the relevant parameters, the radius of the circle to be traced out and the location on the rolling circle of the tracing point.
Establishing the uniqueness of ({x_{k}}).
