Normal sequence

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Article bodies are English and are not machine-translated. A name in another language is not a translation of the article.

In mathematics, the term normal sequence has multiple meanings, depending on the area of specialty. In general, it is a sequence with "nice" properties. * In set theory, a normal sequence is one that is continuous and strictly increasing. * In probability theory, a normal number is a number whose representation is a normal sequence in all bases, i.e. regardless of which base is chosen (e.g. base 2, base 8, base 10, etc.) the sequence of digits contains every finite subsequence with equal probability.

In mathematics, the term normal sequence has multiple meanings, depending on the area of specialty. In general, it is a sequence with "nice" properties. In set theory, a normal sequence is one that is continuous and strictly increasing. In probability theory, a normal number is a number whose representation is a normal sequence in all bases, i.e. regardless of which base is chosen (e.g. base 2, base 8, base 10, etc.) the sequence of digits contains every finite subsequence with equal probability.

Text derived from https://en.wikipedia.org/w/index.php?oldid=1266099033 under CC BY-SA 4.0; modifications have been made.

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snapshot normal-sequence-794762-4c8352c232cfa705 · hash 4c8352c232cfa70515c7b2e74cfbb923fd1396dec13306a875526eb7aeaac378 · captured 1735523825.0 · version history

Cite this page as: encyclopegia.org, “Normal sequence”, snapshot normal-sequence-794762-4c8352c232cfa705. https://encyclopegia.org/a/normal-sequence

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