Sentence examples for define on this from inspiring English sources

and we define on this space the norm (1.6).

In the present study we begin to define, on this map, the genomic regions that control disease resistance.

The three units defined on this basis do not correlate directly with the units defined on the basis of geochemical composition.

A stochastic (Markovian) matrix was subsequently defined on this graph, an operation that codifies the probabilities of interaction between specific nucleotides of HIV-RNA and the antibiotic.

A basic theorem says that there is a suitable σ-field containing all the intervals and a unique probability defined on this σ-field for which the probability of an interval is its length.

As an example, it is shown that the flow on L12 × L02 corresponding to the nonlinear Klein-Gordon field over a two dimensional static space time N=Ω × R leaves the Gaussian measure defined on this space w.r.t. the norm on Ls + 12 × Ls2 (where 12 < s < 1) quasi-invariant.

We show that this transform, applied to appropriate distributions on K, gives all classical theta functions, and that, by defining on this space of theta functions an inner product related to the K-averaged heat kernel, the unitarity of the CST transform is still preserved.

Quantum-mechanical states correspond exactly to probability measures (suitably defined) on this lattice.

Different metrics are defined on this data structure, such as MinMax and Tanimoto [27].

Let (B t)), (tge0), be 1-dimension standard Brownian motion defined on this probability space.

Let ({ {B t),t ge0} } ) be a real-valued Brownian motion defined on this probability space.