Sentence examples for repeated composition from inspiring English sources

Then, for every, where denotes the -times repeated composition of with itself.

Let be a right continuous function such that for every, then, where denotes the -times repeated composition of with itself.

Lemma 4.1 Let t > 0. ϕ ( t ) < t if only if lim k ϕ k ( t ) = 0, where ϕ k denotes the k-times repeated composition of ϕ with itself.

Let t > 0, ψ ( t ) < t if and only if lim n ψ n ( t ) = 0, where ψ n denotes the n-times repeated composition of ψ with itself.

g ( X ) ⊆ f ( X ) ; g commutes with f; f, g and φ satisfy (∗2) and (∗3); φ is a strictly increasing and bijective; lim n → ∞ φ − n ( x ) = ∞ for each x > 0, where φ − n is n-times repeated composition of φ − 1 with itself.

For (Asubseteq X), let (delta(A)= sup{ p x,y) : x,y in A }) and for each (x, y in X), (n in N), let O x,y,n) = bigl{ T^{i} x, T^{j} y :0leq i,j leq n, i,j in N cup{0} bigr}, where (T^{0} x =x) and (T^{i}) is the i times repeated composition of T with itself.

Few mammals have active non LTR LINE other than L1 that contribute significantly to repeat composition.

It is a heterotrimer composed of two α1 (CIα1) and one α2 (chainschains with the helical region composed by a repeating composition of Xaa-Yaa-Gly, where X and Y are typically proline (Pro) and hydroxyproline (Hyp) [ 3].

She seems never to have exactly repeated a composition, even when she yielded to popular clamor for yet another go at "The Old Oaken Bucket" or some such chestnut motif.

This combination of repeated sequence composition and ligand-binding domain is also found in titin (connectin), a filamentous protein of sarcomers with unique elastic properties and distinct bending rigidities (Trombitas et al. 1998).

A similar comparison was carried out for the following classes of repetitive elements: SINEs, LINEs, LTRs, DNA transposable elements, small RNAs and low-complexity repeats; p values comprised between 0.32 and 0.89 indicated that the repeated element composition of the ECA11 centromeric domain was comparable to that of the control regions.