szekvencia

Szekvencia, in Hungarian often translated as sequence, denotes an ordered list or arrangement of elements. The term is used across disciplines to describe objects arranged in a specific order or progression, sometimes indexed by integers. Its exact meaning depends on the field, but the common idea is an identifiable order of components.

In mathematics, a szekvencia is an ordered list of terms a1, a2, a3, ... (or (a_n)) indexed by natural numbers. A sequence can be finite or infinite and may be defined by a rule or recurrence. Well-known families include arithmetic sequences, where consecutive terms differ by a constant d, and geometric sequences, where successive terms have a constant ratio r. A central concept is convergence: a_n tends to a limit L as n grows. Related ideas include subsequences, monotonicity, and boundedness, which underpin much of analysis.

In biology and biochemistry, a szekvencia often refers to the sequence of nucleotides in DNA or RNA, or of amino acids in a protein. DNA and RNA sequences are represented by letters such as A, C, G, and T (or U in RNA). The precise order encodes genetic information and is the focus of tasks like sequence alignment, motif finding, and genome annotation.

In computer science and information theory, a szekvencia can denote an ordered collection of symbols, i.e., a string or array. Sequences are fundamental in algorithms, data processing, parsing, and various applications in bioinformatics, linguistics, and data analysis.