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It was shown in 1973 by Rota, Kahaner, and Odlyzko, that a polynomial sequence is of binomial type if and only if it is the sequence of basic polynomials of some delta operator. Therefore, this paragraph amounts to a recipe for generating as many polynomial sequences of binomial type as one may wish.
Sequencing technologies vary in the length of reads produced. Reads of length 20-40 base pairs (bp) are referred to as ultra-short. [2] Typical sequencers produce read lengths in the range of 100-500 bp. [3] However, Pacific Biosciences platforms produce read lengths of approximately 1500 bp. [4] Read length is a factor which can affect the results of biological studies. [5]
An open reading frame (ORF) is a reading frame that has the potential to be transcribed into RNA and translated into protein. It requires a continuous sequence of DNA which may include a start codon, through a subsequent region which has a length that is a multiple of 3 nucleotides, to a stop codon in the same reading frame.
The most common sequencing method is the shotgun method, which is the method most probably used on sequence 2. Once a method is decided on, you have to specify the length of the bp reads you would like it to return. In the case of sequence 2, it returned 7-bp reads with all errors made during the process noted in red. [4]
The ORF Finder (Open Reading Frame Finder) [16] is a graphical analysis tool which finds all open reading frames of a selectable minimum size in a user's sequence or in a sequence already in the database. This tool identifies all open reading frames using the standard or alternative genetic codes.
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The BKM algorithm is a shift-and-add algorithm for computing elementary functions, first published in 1994 by Jean-Claude Bajard, Sylvanus Kla, and Jean-Michel Muller.BKM is based on computing complex logarithms (L-mode) and exponentials (E-mode) using a method similar to the algorithm Henry Briggs used to compute logarithms.