sekvensen

Sekvensen is the definite form of sekvens, the term used in Norwegian, Danish and Swedish to denote a sequence or ordered progression. The concept spans several disciplines, with related but domain-specific meanings.

In mathematics, a sequence is an ordered list of elements typically indexed by natural numbers, written as a1, a2, a3, and so on. Central ideas include convergence (terms approaching a limit), monotonicity, and boundedness. Common examples are arithmetic sequences, where the difference between successive terms is constant, and geometric sequences, where the ratio of successive terms is constant.

In computer science and data processing, a sequence refers to any ordered collection of items, such as an array, a list, a string, or a stream, where position matters. Sequences are fundamental in algorithms, data encoding, pattern matching, and data processing workflows.

In genetics and molecular biology, a sequence typically means a sequence of nucleotides in DNA or RNA or a sequence of amino acids in a protein. DNA sequencing determines the order of bases (adenine, thymine, cytosine, guanine), with high-throughput technologies enabling large-scale genomics, transcriptomics, and proteomics analyses.

In music, a sequence is the repetition of a motif at different pitch levels, creating a stepwise progression. In literature, a sequence can refer to a series of events, scenes, or episodes that advance a narrative.

Overall, sekvensen denotes an ordered series whose elements follow a defined arrangement, a concept common to mathematics, computing, biology, and the arts.