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A two-dimensional orthognalization procedure is developed and this produces an infinite number of double indexed algebraic equations.
The IFIR FB models the system impulse response as a linear combination of double indexed set of functions.
Sequencing was performed in a pool of equimolar amounts of each library on one lane of a 75-cycle double indexed paired-end Illumina Genome Analyzer IIx run (sequencing chemistry kit v4, cluster generation kit v4, recipe version v7.4) (Kircher et al. 2012) and generating 1,021,385 sequencing reads for the tooth and 623,912 for the rib.
Therefore (4) can be rewritten in matrix form: R = AR, where (4) A i, j u, v = 1 d u d v, if v i, v u ∈ E 1, v j, v v ∈ E 2 1 m n, if d u d v = 0 0, otherwise, where A[ i, j][ u, v] is a (mn)×(mn) matrix with double indexed row and column.
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Thus, while our percentage of incorrectly indexed reads was not as low as reported by the double indexing strategy of Kircher [ 27], the amount we did have did not appear to impact our accuracy for common or rare variant detection.
Kircher, M., Sawyer, S. & Meyer, M. Double indexing overcomes inaccuracies in multiplex sequencing on the Illumina platform.
Through this comparative analysis, an omission in the double index Zhu and Heady formulation was discovered.
Sample-specific index sequences and Illumina adaptors are introduced during the PCR step; we used double indexing with 8-bp Nextera indexes.
Double index chalcogenide fibers, based on tellurium, arsenic, and selenium, have been made by an original technique.
Both their triple index and double index mathematical formulations address the sequence dependent setup scheduling problem (SDSSP) with earliness and tardiness penalties.
With the benefit of double indexing path selector mechanism, the reliability of the detector drive system has been improved five times higher than that of a conventional system.
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