Phrase guide

rank of apparition

noun · 2 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

Given a positive integer m and a divisibility sequence Sk, the smallest index k such that Sk is divisible by m;

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, number-theory, sciences

Examples

  • 1996, D. L. Wells, Residue Counts Modulo Three for the Fibonacci Triangle, G. E. Bergum, Andreas N. Philippou, Alwyn F. Horadam (editors), Applications of Fibonacci Numbers, Kluwer Academic, Softcover reprint, page 535, A similar identification between Pascal's Triangle modulo p and the Fibonacci Triangle modulo p can be made for primes p which have the length of the period equal to twice their rank of apparition in the Fibonacci Sequence.

Meaning relationships

Synonyms: Fibonacci entry point

Antonyms: none provided

2

noun

Meaning 2

Given a positive integer m and a divisibility sequence Sk, the smallest index k such that Sk is divisible by m; such an index for some generalisation of the concept (for example to allow multiple ranks of apparition for a given m).

such an index for some generalisation of the concept (for example to allow multiple ranks of apparition for a given m).

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, number-theory, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: Fibonacci entry point

Antonyms: none provided

History

Etymology

No etymology was provided for this word.