Sentence examples for an exact sequence of from inspiring English sources

We specialize our attention to reproducing C[z1,…,zd]-modules with U-invariant kernels by examining the spectrum and the essential spectrum of the d-tuple {Mz1,…,Mzd}, and deducing an exact sequence of C∗-algebras associated with Toeplitz algebra.

We call this a kind of "memory" for an exact sequence of ISIs.

Set Z = Z ( H ) ; it is an R n -group of multiplicative type and we have an exact sequence of R n -group schemes 1 → Z ⟶ i H → H a d → 1.

Recall that M ′ is a Riedtmann Zwara degeneration of M if and only if there is an exact sequence of the form 0 → K → K ⊕ M → M ′ → 0, or, equivalently, if and only if there is an exact sequence of the form 0 → M ′ → M ⊕ L → L → 0 ; (in both sequences we can assume that the maps K → K and L → L, respectively, are in the radical).

In this case, one has the projection p r | v L π E : v L π E → E Open image in new window in a vector subbundle of pr : L π E → E Open image in new window allowing to define an exact sequence of vector bundles: Open image in new window.

That is, discovering an exact sequence of DNA -- specifically, the mutations in the two genes that predisposes an individual to greater cancer risk -- does not constitute a new creation in and of itself.

(5) Even if not useful for computations, one can still interpret the exact sequence as an exact sequence for the fundamental groups of a tower of covering spaces, using the standard construction for equivariant cohomology that we shall discuss later.

However, siRNAs with an exact sequence identity of ≥17 nt can already induce off target effects [ 25].

We therefore settled on an intermediate BLAST E-value cutoff of 1e-3 for all non-miRNA families, which by observation corresponds to an exact sequence match of length 24.

A search query is a complete, exact sequence of terms issued by a Google search user.

The concept of an exact sequence only appeared in print in the 1952 book Foundations of Algebraic Topology by Samuel Eilenberg and Norman Steenrod where the results of Mayer and Vietoris were expressed in the modern form.