It also furnishes explicit expressions of the coefficients of the standard normal form bifurcation equations in terms of the coefficients of the original system.
Specifically, substituting ρ = R/ σ into Eq. 2 allows us to write a constrained form of the coverage probability, which in turn furnishes constrained expressions for the probabilities of events D A and D G. It is expedient at this point to switch from the event-based notation of probability used up until now to the Eulerian (functional) convention for the calculus-based aspect of optimization.
The asymptotic solution, besides revealing how the non-uniformity in the parameters affects wave propagation, furnishes an analytic expression for the system scattering matrix as a function of the system parameters.
Our experience indicates that pathway-based analysis of gene expression data furnishes highly reproducible results that can be useful for dissecting a complex, polygenic disease like colorectal cancer.
As a platform of recombinant protein expression K. lactis furnishes several advantages including applications of both episomal and integrative expression vectors, simple fermentation tools and easy genetic manipulation.
Negative thinking and rational judgment are blocked, furnishing a scientific basis for the expression "love is blind".
Hence, we should not expect a semantic theory to furnish an account of how any two expressions belonging to the same syntactic category differ in meaning (Thomason 1974).
This village is intended to be a self-contained home for all the Olympic participants, and is furnished with cafeterias, health clinics, and locations for religious expression.
More importantly, it furnishes an integrated Bayesian framework for jointly modeling gene expression data from multiple studies and gene set information.
Such a synchronization of MAPK activation could be dictated by GnRH frequency, and furnish a reasonable connection between GnRH frequency and differential subunit gene expression.
In simple terms, differences in the available phosphorylated tyrosine sites as well as in the expression of SH2 domain proteins themselves has the potential to furnish related but distinct signaling events in responses to the same input signal.
