For complementary sequences in biology, see complementarity (molecular biology). For integer sequences with complementary sets of members see Lambek–Moser theorem.
In applied mathematics, complementary sequences (CS) are pairs of sequences with the useful property that their out-of-phase aperiodic autocorrelation coefficients sum to zero. Binary complementary sequences were first introduced by Marcel J. E. Golay in 1949. In 1961–1962 Golay gave several methods for constructing sequences of length 2N and gave examples of complementary sequences of lengths 10 and 26. In 1974 R. J. Turyn gave a method for constructing sequences of length mn from sequences of lengths m and n which allows the construction of sequences of any length of the form 2N10K26M.
Later the theory of complementary sequences was generalized by other authors to polyphase complementary sequences, multilevel complementary sequences, and arbitrary complex complementary sequences. Complementary sets have also been considered; these can contain more than two sequences.
and 26 Related for: Complementary sequences information
For complementarysequences in biology, see complementarity (molecular biology). For integer sequences with complementary sets of members see Lambek–Moser...
with complementarysequences, there is a distinction between "sense" sequences which code for proteins, and the complementary "antisense" sequence, which...
DNA fragments that contain complementarysequences. It is used to join DNA pieces containing genes, regulatory sequences, or mutations; the technique...
tag. The tag allows any DNA fragments containing complementarysequences with the DNA probe sequence to be visualized within the Southern blot. The Southern...
index 2 primer attaches, polymerizes the sequence, and is washed away. A polymerase sequences the complementary strand on top of the arched strand. They...
molecule near the end with a significant proportion of non-complementarysequences; that is, a sequence where nucleotides on the adjacent strands do not match...
sequence generated by a (maximal) linear feedback shift register (LFSR). Other examples are Gold sequences (used in CDMA and GPS), Kasami sequences and...
recurrence relation and with the Fibonacci numbers form a complementary pair of Lucas sequences. The Fibonacci numbers may be defined by the recurrence...
modified nucleosides. Double-stranded nucleic acids are made up of complementarysequences, in which extensive Watson-Crick base pairing results in a highly...
post-transcriptional regulation of gene expression. miRNAs base-pair to complementarysequences in mRNA molecules, then silence said mRNA molecules by one or more...
three base pairs inversely repeat the sequence of the germline DNA. These short complementary palindromic sequences are called P nucleotides. Larionov S...
deletion sites even if they have different sequences, whereas other gRNA sequences are not complementary to pre-edited mRNA. Maxicircles and minicircles...
not affect their stickiness. Any pair of complementarysequences will tend to bond, even if one of the sequences comes from a length of human DNA, and the...
In genetics, complementary DNA (cDNA) is DNA that was reverse transcribed (via reverse transcriptase) from an RNA (e.g., messenger RNA or microRNA). cDNA...
method to create arbitrarily long complementarysequences. For the case of cyclic autocorrelation, other sequences have the same property of having perfect...
specific strands of DNA that are complementary to the CRISPR sequence. Cas9 enzymes together with CRISPR sequences form the basis of a technology known...
primers for the far ends. The overlapping complementarysequences introduced will serve as primers and the two sequences will be fused. This method has an advantage...
A maximum length sequence (MLS) is a type of pseudorandom binary sequence. They are bit sequences generated using maximal linear-feedback shift registers...
period 1,023. Hadamard code JPL code Kasami code Zadoff–Chu sequenceComplementarysequences Space Network – a NASA system that uses Gold codes George,...
reduced atherosclerotic damage to the aorta. MicroRNAs (miRNAs) have complementarysequences in the 3' UTR and 5' UTR of target mRNAs of protein-coding genes...
molecules are present as a dimer, formed by base pairing between complementarysequences. Interaction sites between the two RNA molecules have been identified...
mRNA, tRNA, rRNA, snRNAs, and other non-coding RNAs, contain self-complementarysequences that allow parts of the RNA to fold and pair with itself to form...
stimulate the degradation of specific mRNAs by base-pairing with complementarysequences and facilitating ribonuclease cleavage by RNase III. It was recently...
oligonucleotide probes of DNA microarrays. Annealing, in genetics, means for complementarysequences of single-stranded DNA or RNA to pair by hydrogen bonds to form...
escape sequences always denote certain sequences of numerical values, regardless of encoding. Therefore, universal character names are complementary to octal...
Global Information