Sentence examples for corresponding representation of the from inspiring English sources

The limit κ → 0 reproduces the corresponding representation of the free retarded Green's function in three dimensions.

We shall now construct the corresponding representation of the semigroup (widetilde{mathrm {H}}(W^s)) on the Fock space (fancyscript {A}_V).

Cytochromes P450 represented in the 454 pyrosequencing database at levels similar to transcripts encoding NMCH, CheSyn and StySyn coupled with the corresponding representation of the cognate enzymes in the LC-MS/MS protein database provides a basis for the selection of genes putatively involved in BIA biosynthesis.

These uncertainty characterizations are then propagated through the model to obtain the corresponding representation of uncertainty for the model outputs.

We will denote by (pi _infty ) the corresponding representation of G on (V_infty ).

This graph is a corresponding geometrical representation of the system investigated, where elements of the graph represent individual beams of the system.

In the case of ordinary perceptual experience, an object instantiates an observable property, such as being red, and this causes us (in the right way) to have a corresponding phenomenal representation of the object, such as a visual experience of a red object in front of us (Audi 2013).

The query statements like [cancer] crossed with the corresponding Boolean representations of the consistency tiers would locate the literature publications associating the genes of interest with cancer as another proxy for a non-specific multiple roles played by many signaling molecules.

This naturally introduces a small positive parameter (epsilon=tau _{a}/tau), which can be used to develop various asymptotic expansions of the corresponding path-integral representation of the stochastic dynamics.

Before outlining the strategy for computing our character in the infinite-dimensional setting of representations of Lie superalgebras and groups, we recall the classical situation where (rho _*) is an irreducible finite-dimensional representation of a reductive Lie algebra (mathfrak {g}) and (rho ) is the corresponding Lie group representation of the complex reductive group G.

The latter can be obtained in the weak noise limit by considering a Wentzel-Kramers-Brillouin (WKB) approximation of solutions to a master equation (intrinsic noise) or Fokker-Planck equation (extrinsic noise) [25 27]; alternatively, the Hamilton equations can be obtained from a corresponding path integral representation of the stochastic population model [21].