Sentence examples for an exact sequence from inspiring English sources

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

Hence we have an exact sequence 1 ⟶ S ⟶ N H ( L ) ⟶ H ′ : = N H ( L ) / S ⟶ 1.

Precisely, we construct an exact sequence 0→ℓ2→D→W*→0 in which W* is a separable dual and D is not isomorphic to a dual space.

As we saw above L is a reductive subgroup and we have an exact sequence 1 ⟶ L ⟶ G ⟶ ϕ G / L ⟶ 1.

There is an exact sequence begin{aligned} 0 rightarrow H_{2, Gamma } (G, {mathbb {Z}}) rightarrow G wedge _{Gamma } G rightarrow [G, G] rightarrow 0. end{aligned}.

However, because the search for an exact sequence exclusively based on proton chemical shifts is sometimes delicate for NMR non-specialists, we worked out a new type of query, named SOACS, which allows the easy retrieval of existing sequences.

An exact sequence-based comparison of all three rRNA operons in the re-annotation of NC_008260 and re-sequencing/annotation of our A. borumensis SK2 are provided in Additional file 1: Figure S1.

The Mayer Vietoris sequence in singular homology for the triad (X, A, B) is a long exact sequence relating the singular homology groups (with coefficient group the integers Z) of the spaces X, A, B, and the intersection A∩B.

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

A morphism is called proper if it is open onto its image, and a short exact sequence 0 → A → ϕ B → ψ C → 0 Open image in new window in £ is said to be proper exact if ϕ and ψ are proper morphisms.

The group (H,) being finitely generated, allows a short exact sequence begin{aligned} {1}rightarrow A rightarrow H rightarrow B rightarrow {1}, end{aligned}where (A,B in EG_{beta -1}.) Let (varphi : Grightarrow G/N) be the canonical homomorphism and (M= varphi ^{-1}(A).) Then (M) is a normal subgroup in (G) and (G/Msimeq G/N/M/Nsimeq H/A simeq B).