Sentence examples for associated to certain from inspiring English sources
The proof relies on shape differentiation and a careful study of Dirichlet-to-Neumann operators associated to certain Helmholtz equations.
We rectify an error in the proof of the Gaussian estimates for the heat kernel associated to certain weighted elliptic equations.
We establish connectivity or lack of connectivity for C⁎-algebras associated to certain classes of groups: virtually abelian groups, linear connected nilpotent Lie groups and linear connected semisimple Lie groups.
Let (X, H, μ) be the Wiener space; we define "twisted Sobolev spaces" associated to certain compact operators on H. Wiener functionals belonging to one of these spaces are termed "hypersmooth"; we prove a measure-theoretic analog of Sard′s theorem for them.
This results in a primary segmentation of the computational volume into 'peak patches': regions associated to certain density peak.
Moreover, in [12] and [13], the existence of an analogue of Hutchinson's measure associated to certain GIFSs with probabilities (GIFSp for short) is proved.
Similarly, the user can search for all the miRNAs associated to a certain gene, disease, process or function and obtain a list of all the miRNAs expressed in a certain tissue with their expression levels.
Moreover, a design force associated to a certain return period can be defined from the time series of the stability parameters.
A noncommutative Poisson transform associated to a certain class of sequences of operators on Hilbert spaces, with property (P), is defined on some universalC*-algebras (resp. nonselfadjoint algebras) generated by isometries.
We suppose that the temporal series are samples of independent, normally distributed random variables with mean equal to zero, and variance equal to one of three possible values, each of them associated to a certain degree of electric intensity.
Let and denote the source and destination HIT identifiers, and let and be the public and private keys associated to a certain, respectively.
