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A heterogram (from hetero-, meaning 'different', + -gram, meaning 'written') is a word, phrase, or sentence in which no letter of the alphabet occurs more than once. The terms isogram and nonpattern word have also been used to mean the same thing. [1] [2] [3] It is not clear who coined or popularized the term "heterogram".
A dialectal word can become part of the standard language in a compound, but not in its root form: e.g. blatherskite ("one who talks nonsense"), as Scots has the word skite ("contemptible person"). A word can become obsolete in its root form but remain current in a compound: e.g. lukewarm from Middle English luke ("tepid").
In contrast, truly random sequence sources, such as sequences generated by radioactive decay or by white noise, are infinite (no pre-determined end or cycle-period). However, as a result of this predictability, PRBS signals can be used as reproducible patterns (for example, signals used in testing telecommunications signal paths).
The sequence presence is a VNTR because one individual has five repeats, while the other has seven repeats (number of repeats varies in different individuals). Each repeat is ten nucleotides, making it a minisatellite, rather than a microsatellite in which each repeat is 1-6 nucleotides.
Langford pairings are named after C. Dudley Langford, who posed the problem of constructing them in 1958. Langford's problem is the task of finding Langford pairings for a given value of n. [1] The closely related concept of a Skolem sequence [2] is defined in the same way, but instead permutes the sequence 0, 0, 1, 1, ..., n − 1, n − 1.
As far as A is concerned, it is doing a perfect random walk, while B is the copycat. B holds the opposite view, i.e. that it is, in effect, the original and that A is the copy. And in a sense they both are right. In other words, any mathematical theorem, or result that holds for a regular random walk, will also hold for both A and B.
Example multiple sequence alignment of a pentapeptide repeat leading to a tandem repeat structure. In proteins, a "repeat" is any sequence block that returns more than one time in the sequence, either in an identical or a highly similar form. The degree of similarity can be highly variable, with some repeats maintaining only a few conserved ...
In a uniformly-random instance of the stable marriage problem with n men and n women, the average number of stable matchings is asymptotically . [6] In a stable marriage instance chosen to maximize the number of different stable matchings, this number is an exponential function of n . [ 7 ]