Sequence

However, with big-O notation the sequence can only exceed the bound in a finite prefix of the sequence, whereas the limit superior of a sequence like e −n may actually be less than all elements of the sequence.

In contrast, a sequence that is infinite in both directions—i.e. that has neither a first nor a final element—is called a bi-infinite sequence, two-way infinite sequence, or doubly infinite sequence.

A sequence of codons results in a corresponding sequence of amino acids that form a protein molecule; a type of codon called a stop codon signals the end of the sequence.

Bio-IT World 2011 Assembly main render Sequence assembly refers to aligning and merging fragments of a much longer DNA sequence in order to reconstruct the original sequence.

Bit-sequence-independence allows only line codes that have the same number of transitions per bit, otherwise, the line code is dependent on the bit sequence and, therefore, bit-sequence dependent.

Complete sequences An integer sequence is called a complete sequence if every positive integer can be expressed as a sum of values in the sequence, using each value at most once.

For example, if one uses the classical definition of a sequence, the set of computable numbers is not closed under the basic operation of taking the supremum of a bounded sequence (for example, consider a Specker sequence ).

If α is a limit ordinal and X is a set, an α-indexed sequence of elements of X is a function from α to X. In this terminology an ω-indexed sequence is an ordinary sequence.

In other words, when you pass a sequence to a routine, initially only a reference to it is passed, but at the point the routine modifies this sequence parameter the sequence is copied and the routine updates only a copy of the original.

Macros A Macro is a rule of pattern that specifies how a certain input sequence (often a sequence of characters) should be mapped to an output sequence according to defined process.

Montage sequence main A montage sequence consists of a series of short shots that are edited into a sequence to condense narrative.

Since every sequence of real numbers can be used to construct a real not in the sequence, the real numbers cannot be written as a sequence – that is, the real numbers are not countable.

Such an insertion could intronize the transposon without disrupting the coding sequence when a transposon inserts into the sequence AGGT, resulting in the duplication of this sequence on each side of the transposon.

That would make the set of such socks Dedekind finite: there can be no infinite sequence of socks, because such a sequence would allow a choice of one sock for infinitely many pairs by choosing the first sock in the sequence.

The mid-course correction consisted of a roll-turn sequence, followed by a pitch-turn sequence and finally a motor-burn sequence.

Dante’s father was the drug lord killed in Rio de Janeiro that Dom stole the vault from, and the pre-title sequence flashes back to the iconic heist sequence from from his point of view.

These applications share a common technique called sequence-to-sequence learning, which has proven to be highly successful.

These models predict the next word in a sequence based on the previous words in that sequence.

They created MusicLM, a hierarchical sequence-to-sequence machine learning model.

And there’s that fantastic sequence in Moulin Rouge, the Roxanne sequence, where they’re pretty much doing a variation of the Argentine tango.