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The R-functions method (RFM) allows constructing in analytical form the sequence of basis functions satisfying the given boundary conditions in case of complex shape of the boundary.
In addition, tRNAs are usually formed as longer precursor molecules that are cleaved by ribonuclease P to generate the mature 5′ end and often have extra residues added to their 3′ end to form the sequence CCA.
Proof Let x0 ∈ X be arbitrary and form the sequence {x n } with x n = f n x0.
Starting from the given element x 0 ∈ X, form the sequence { x n } as x n = T x n − 1, n ∈ N. If p ( x n, x n + 1 ) = 0 for some n ≥ 0, then T x n = x n + 1 = x n and p ( x n, x n ) = 0 (by (p2)) and the proof is completed.
Further, since f i ( x ∗ ) = f i ( f i n ( x ∗ ) x ∗ ) = f i n ( x ∗ ) + 1 x ∗ = f i n ( x ∗ ) ( f i x ∗ ), it follows that f i x ∗ = x ∗ for all i ∈ N. Now, for some x 1 ∈ B, we form the sequence x i + 1 = f i n ( x ∗ ) x i.
Let u ∈ X be arbitrary and form the sequence { u n } by u 0 = u and u n = T n u for n ∈ N. It follows from (2.3) that D ( u n, u n + 1 ) ≤ r K D ( u n − 1, u n ) (2.4).
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A transitive clustering process was used to form the sequence-similar groups [ 9].
The mechanism of unequal exchange and gene conversion led inevitably to the divergence of the internal subtelomeric repeats, and the strand asymmetry of the repeats provided the potential to form the sequence-independent secondary structures that gave rise to the centromeres (Villasante, Abad, et al. 2007; Villasante, Méndez-Lago, et al. 2007).
The simulated sequences were paired randomly to form the sequences of an individual and α for each individual was then calculated.
From the later 9th century on, the liturgy gave rise to two new literary forms: the sequence and the liturgical drama.
Brenton and Vasiliu calculated that the number of solutions for small values of k, starting with k = 5, forms the sequence :2, 5, 18, 96.
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