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For any convolution code of rate R that corrects all bursts of length a or less relative to a guard space of length b, b a ≥ 1 + R 1 - R. (1).
In particular, for a convolution code of rate R that corrects all but a fraction ψ of bursts of length a or less relative to a guard space of length b b a ≥ R + [ log 2 ( 1 - ψ ) ] ∕ a 1 - R ≈ R 1 - R (2). for small ψ.
Given a source string X and a target string Y, we define the event F to be the event of choosing a length- k generator that is feasible for Y from the space of length- k generators.
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We consider a two-operator mutation selection algorithm designed to optimize a fitness function on the space of fixed length binary strings.
For a given source string X and positive integer k, we consider the space of all length- k generators Ψ X.
Moreover, for any, block spaced seeds of length l and weight w would suffice to guarantee full search sensitivity with respect to k mismatches.
Performance of analytic solution is tested against numerical solution of the nonlinear Boussinesq equation at 200 equally spaced grid points of length 1 m for t = 2, 5, 10, 20, and 50 days.
In analogy to the terminology introduced by Ma et al. (2002), we define for integers a spaced word w of length ℓ and weight k as a pair where is a 'contiguous word' of length k and is a sequence of '0' and '1' characters of length ℓ, such that there are exactly k positions i in P with.
By adjusting the lengths of coil and rod blocks, the stability regions of the structures are mapped out in space of the block length versus the temperature.
For a well with fixed casing diameter and horizontal section length, the influencing factors of pressure loss on horizontal section is only production or injection rate; for a reservoir, the influencing factors of maximal well space are length of horizontal section, oil production rate and water injection rate.
Here we have measured the proportion of sequence space covered by oligos of length 1 – 20 in H. sapien, M. musculus, D. melanogaster, C. elegans, A. thaliana, S. cerevisiae, and E. coli k12.
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