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Exact(32)
Also, observe that ∥ k n − W k n ∥ ≤ ∥ k n − W n k n ∥ + ∥ W n k n − W k n ∥.
where k n < k n ′ if n < n ′.
Obviously, k n → ∞ as n → ∞.
In particular, for a function p ( k n ) satisfying condition (v), we have u ( k n + l ) − α u ( k n ) + x k n − τ ( k n ) ≤ p ( k n ) ( u ( k n + l ) − α u ( k n ) ) + u ( k n − τ ( k n ) ) < 0. for k sufficiently large, which implies that 0 < u ( k n + l ) + ( u ( k n − τ ( k n ) ) − α u ( k n ) ) < 0. for all large k.
In comparison, the corresponding pipeline for LocARNA requires O (k n 3 + k n 4 ) time.
Further, k n,0, z = 0 for all z.
Similar(27)
For the interesting scenarios, k << N and N!/ N- k)! k! ≈ N k.
Kotajarvi BR, Basford JR, An K-N.
Gabriel DA, Basford JR, An K-N.
Sabick MB, Kotajarvi BR, An K-N.
Kitaoka HB, Luo Z-P, Kura H, An K-N.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com