See cyclic number in All languages combined, or Wiktionary
Download JSON data for cyclic number meaning in English (2.4kB)
{
"forms": [
{
"form": "cyclic numbers",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "cyclic number (plural cyclic numbers)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Mathematics",
"orig": "en:Mathematics",
"parents": [
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"glosses": [
"An integer for which cyclic permutations of the digits are successive integer multiples of the number."
],
"id": "en-cyclic_number-en-noun-fwO0~8kn",
"links": [
[
"mathematics",
"mathematics"
],
[
"integer",
"integer"
],
[
"permutation",
"permutation"
],
[
"digit",
"digit"
],
[
"multiple",
"multiple"
]
],
"raw_glosses": [
"(mathematics) An integer for which cyclic permutations of the digits are successive integer multiples of the number."
],
"topics": [
"mathematics",
"sciences"
],
"translations": [
{
"_dis1": "92 8",
"code": "fi",
"lang": "Finnish",
"sense": "integer for which cyclic permutations of the digits are successive integer multiples of the number",
"word": "syklinen luku"
},
{
"_dis1": "92 8",
"code": "de",
"lang": "German",
"sense": "integer for which cyclic permutations of the digits are successive integer multiples of the number",
"tags": [
"feminine"
],
"word": "zyklische Zahl"
},
{
"_dis1": "92 8",
"code": "pl",
"lang": "Polish",
"sense": "integer for which cyclic permutations of the digits are successive integer multiples of the number",
"tags": [
"feminine"
],
"word": "liczba kolista"
}
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Group theory",
"orig": "en:Group theory",
"parents": [
"Algebra",
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "39 61",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
}
],
"glosses": [
"A natural number n such that n and φ(n) (that is, Euler's totient function) are coprime."
],
"id": "en-cyclic_number-en-noun-EAHZaQyZ",
"links": [
[
"group theory",
"group theory"
],
[
"natural number",
"natural number"
],
[
"φ",
"φ"
],
[
"Euler's totient function",
"Euler's totient function"
],
[
"coprime",
"coprime"
]
],
"raw_glosses": [
"(group theory) A natural number n such that n and φ(n) (that is, Euler's totient function) are coprime."
],
"topics": [
"group-theory",
"mathematics",
"sciences"
]
}
],
"word": "cyclic number"
}
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
"English nouns"
],
"forms": [
{
"form": "cyclic numbers",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "cyclic number (plural cyclic numbers)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
"en:Mathematics"
],
"glosses": [
"An integer for which cyclic permutations of the digits are successive integer multiples of the number."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"integer",
"integer"
],
[
"permutation",
"permutation"
],
[
"digit",
"digit"
],
[
"multiple",
"multiple"
]
],
"raw_glosses": [
"(mathematics) An integer for which cyclic permutations of the digits are successive integer multiples of the number."
],
"topics": [
"mathematics",
"sciences"
]
},
{
"categories": [
"en:Group theory"
],
"glosses": [
"A natural number n such that n and φ(n) (that is, Euler's totient function) are coprime."
],
"links": [
[
"group theory",
"group theory"
],
[
"natural number",
"natural number"
],
[
"φ",
"φ"
],
[
"Euler's totient function",
"Euler's totient function"
],
[
"coprime",
"coprime"
]
],
"raw_glosses": [
"(group theory) A natural number n such that n and φ(n) (that is, Euler's totient function) are coprime."
],
"topics": [
"group-theory",
"mathematics",
"sciences"
]
}
],
"translations": [
{
"code": "fi",
"lang": "Finnish",
"sense": "integer for which cyclic permutations of the digits are successive integer multiples of the number",
"word": "syklinen luku"
},
{
"code": "de",
"lang": "German",
"sense": "integer for which cyclic permutations of the digits are successive integer multiples of the number",
"tags": [
"feminine"
],
"word": "zyklische Zahl"
},
{
"code": "pl",
"lang": "Polish",
"sense": "integer for which cyclic permutations of the digits are successive integer multiples of the number",
"tags": [
"feminine"
],
"word": "liczba kolista"
}
],
"word": "cyclic number"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-05 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.