See irrational number in All languages combined, or Wiktionary
Download JSON data for irrational number meaning in English (6.4kB)
{
"antonyms": [
{
"word": "rational number"
}
],
"forms": [
{
"form": "irrational numbers",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "irrational number (plural irrational numbers)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "other",
"name": "English entries with topic categories using raw markup",
"parents": [
"Entries with topic categories using raw markup",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "other",
"name": "English terms with non-redundant non-automated sortkeys",
"parents": [
"Terms with non-redundant non-automated sortkeys",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "other",
"name": "Indonesian links with redundant wikilinks",
"parents": [
"Links with redundant wikilinks",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "other",
"name": "Japanese terms with redundant script codes",
"parents": [
"Terms with redundant script codes",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "other",
"name": "Mandarin terms with redundant transliterations",
"parents": [
"Terms with redundant transliterations",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Mathematics",
"orig": "en:Mathematics",
"parents": [
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Numbers",
"orig": "en:Numbers",
"parents": [
"All topics",
"Terms by semantic function",
"Fundamental"
],
"source": "w"
}
],
"examples": [
{
"text": "The square root of a positive integer is an irrational number unless the positive integer is a perfect square, in which case the square root will also be a positive integer."
}
],
"glosses": [
"Any real number that cannot be expressed as a ratio of two integers."
],
"id": "en-irrational_number-en-noun-MHX-iBaH",
"links": [
[
"mathematics",
"mathematics"
],
[
"real number",
"real number"
],
[
"express",
"express"
],
[
"ratio",
"ratio"
],
[
"two",
"two"
],
[
"integer",
"integer"
]
],
"raw_glosses": [
"(mathematics) Any real number that cannot be expressed as a ratio of two integers."
],
"related": [
{
"word": "algebraic number"
},
{
"word": "transcendental number"
}
],
"topics": [
"mathematics",
"sciences"
],
"translations": [
{
"code": "hy",
"lang": "Armenian",
"roman": "iṙacʻional tʻiv",
"sense": "real number that is not rational",
"word": "իռացիոնալ թիվ"
},
{
"code": "ca",
"lang": "Catalan",
"sense": "real number that is not rational",
"tags": [
"masculine"
],
"word": "nombre irracional"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "real number that is not rational",
"word": "無理數"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "wúlǐshù",
"sense": "real number that is not rational",
"word": "无理数"
},
{
"code": "cs",
"lang": "Czech",
"sense": "real number that is not rational",
"tags": [
"neuter"
],
"word": "iracionální číslo"
},
{
"code": "eo",
"lang": "Esperanto",
"sense": "real number that is not rational",
"word": "neracionala nombro"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "real number that is not rational",
"word": "irrationaaliluku"
},
{
"code": "fr",
"lang": "French",
"sense": "real number that is not rational",
"tags": [
"masculine"
],
"word": "nombre irrationnel"
},
{
"code": "de",
"lang": "German",
"sense": "real number that is not rational",
"tags": [
"feminine"
],
"word": "irrationale Zahl"
},
{
"code": "el",
"lang": "Greek",
"roman": "árritos arithmós",
"sense": "real number that is not rational",
"tags": [
"masculine"
],
"word": "άρρητος αριθμός"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "real number that is not rational",
"word": "irracionális szám"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "real number that is not rational",
"tags": [
"feminine"
],
"word": "óræð tala"
},
{
"code": "id",
"lang": "Indonesian",
"sense": "real number that is not rational",
"word": "bilangan irasional"
},
{
"code": "ga",
"lang": "Irish",
"sense": "real number that is not rational",
"tags": [
"feminine"
],
"word": "uimhir éagóimheasta"
},
{
"code": "it",
"lang": "Italian",
"sense": "real number that is not rational",
"tags": [
"masculine"
],
"word": "numero irrazionale"
},
{
"alt": "むりすう",
"code": "ja",
"lang": "Japanese",
"roman": "murisū",
"sense": "real number that is not rational",
"word": "無理数"
},
{
"code": "kk",
"lang": "Kazakh",
"roman": "irrasional san",
"sense": "real number that is not rational",
"word": "иррационал сан"
},
{
"alt": "無理數",
"code": "ko",
"lang": "Korean",
"roman": "murisu",
"sense": "real number that is not rational",
"word": "무리수"
},
{
"code": "la",
"lang": "Latin",
"sense": "real number that is not rational",
"tags": [
"masculine"
],
"word": "numerus irrationalis"
},
{
"code": "mk",
"lang": "Macedonian",
"roman": "iracionálen broj",
"sense": "real number that is not rational",
"tags": [
"masculine"
],
"word": "ирациона́лен број"
},
{
"code": "mi",
"lang": "Maori",
"sense": "real number that is not rational",
"word": "tau kewha"
},
{
"code": "pl",
"lang": "Polish",
"sense": "real number that is not rational",
"tags": [
"feminine"
],
"word": "liczba niewymierna"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "real number that is not rational",
"tags": [
"masculine"
],
"word": "número irracional"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "real number that is not rational",
"tags": [
"neuter"
],
"word": "număr irațional"
},
{
"code": "ru",
"lang": "Russian",
"roman": "irracionálʹnoje čisló",
"sense": "real number that is not rational",
"tags": [
"neuter"
],
"word": "иррациона́льное число́"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "real number that is not rational",
"tags": [
"Cyrillic",
"masculine"
],
"word": "ирaционaлни брой"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "real number that is not rational",
"tags": [
"Roman",
"masculine"
],
"word": "iracionalni broj"
},
{
"code": "es",
"lang": "Spanish",
"sense": "real number that is not rational",
"tags": [
"masculine"
],
"word": "número irracional"
},
{
"code": "tl",
"lang": "Tagalog",
"sense": "real number that is not rational",
"word": "bilang na ditagwayin"
},
{
"code": "tr",
"lang": "Turkish",
"sense": "real number that is not rational",
"word": "irrasyonel sayı"
},
{
"code": "vi",
"lang": "Vietnamese",
"sense": "real number that is not rational",
"word": "số vô tỉ"
}
],
"wikipedia": [
"irrational number"
]
}
],
"word": "irrational number"
}
{
"antonyms": [
{
"word": "rational number"
}
],
"forms": [
{
"form": "irrational numbers",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "irrational number (plural irrational numbers)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"related": [
{
"word": "algebraic number"
},
{
"word": "transcendental number"
}
],
"senses": [
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English entries with topic categories using raw markup",
"English lemmas",
"English multiword terms",
"English nouns",
"English terms with non-redundant non-automated sortkeys",
"Indonesian links with redundant wikilinks",
"Japanese terms with redundant script codes",
"Mandarin terms with redundant transliterations",
"en:Mathematics",
"en:Numbers"
],
"examples": [
{
"text": "The square root of a positive integer is an irrational number unless the positive integer is a perfect square, in which case the square root will also be a positive integer."
}
],
"glosses": [
"Any real number that cannot be expressed as a ratio of two integers."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"real number",
"real number"
],
[
"express",
"express"
],
[
"ratio",
"ratio"
],
[
"two",
"two"
],
[
"integer",
"integer"
]
],
"raw_glosses": [
"(mathematics) Any real number that cannot be expressed as a ratio of two integers."
],
"topics": [
"mathematics",
"sciences"
],
"wikipedia": [
"irrational number"
]
}
],
"translations": [
{
"code": "hy",
"lang": "Armenian",
"roman": "iṙacʻional tʻiv",
"sense": "real number that is not rational",
"word": "իռացիոնալ թիվ"
},
{
"code": "ca",
"lang": "Catalan",
"sense": "real number that is not rational",
"tags": [
"masculine"
],
"word": "nombre irracional"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "real number that is not rational",
"word": "無理數"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "wúlǐshù",
"sense": "real number that is not rational",
"word": "无理数"
},
{
"code": "cs",
"lang": "Czech",
"sense": "real number that is not rational",
"tags": [
"neuter"
],
"word": "iracionální číslo"
},
{
"code": "eo",
"lang": "Esperanto",
"sense": "real number that is not rational",
"word": "neracionala nombro"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "real number that is not rational",
"word": "irrationaaliluku"
},
{
"code": "fr",
"lang": "French",
"sense": "real number that is not rational",
"tags": [
"masculine"
],
"word": "nombre irrationnel"
},
{
"code": "de",
"lang": "German",
"sense": "real number that is not rational",
"tags": [
"feminine"
],
"word": "irrationale Zahl"
},
{
"code": "el",
"lang": "Greek",
"roman": "árritos arithmós",
"sense": "real number that is not rational",
"tags": [
"masculine"
],
"word": "άρρητος αριθμός"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "real number that is not rational",
"word": "irracionális szám"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "real number that is not rational",
"tags": [
"feminine"
],
"word": "óræð tala"
},
{
"code": "id",
"lang": "Indonesian",
"sense": "real number that is not rational",
"word": "bilangan irasional"
},
{
"code": "ga",
"lang": "Irish",
"sense": "real number that is not rational",
"tags": [
"feminine"
],
"word": "uimhir éagóimheasta"
},
{
"code": "it",
"lang": "Italian",
"sense": "real number that is not rational",
"tags": [
"masculine"
],
"word": "numero irrazionale"
},
{
"alt": "むりすう",
"code": "ja",
"lang": "Japanese",
"roman": "murisū",
"sense": "real number that is not rational",
"word": "無理数"
},
{
"code": "kk",
"lang": "Kazakh",
"roman": "irrasional san",
"sense": "real number that is not rational",
"word": "иррационал сан"
},
{
"alt": "無理數",
"code": "ko",
"lang": "Korean",
"roman": "murisu",
"sense": "real number that is not rational",
"word": "무리수"
},
{
"code": "la",
"lang": "Latin",
"sense": "real number that is not rational",
"tags": [
"masculine"
],
"word": "numerus irrationalis"
},
{
"code": "mk",
"lang": "Macedonian",
"roman": "iracionálen broj",
"sense": "real number that is not rational",
"tags": [
"masculine"
],
"word": "ирациона́лен број"
},
{
"code": "mi",
"lang": "Maori",
"sense": "real number that is not rational",
"word": "tau kewha"
},
{
"code": "pl",
"lang": "Polish",
"sense": "real number that is not rational",
"tags": [
"feminine"
],
"word": "liczba niewymierna"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "real number that is not rational",
"tags": [
"masculine"
],
"word": "número irracional"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "real number that is not rational",
"tags": [
"neuter"
],
"word": "număr irațional"
},
{
"code": "ru",
"lang": "Russian",
"roman": "irracionálʹnoje čisló",
"sense": "real number that is not rational",
"tags": [
"neuter"
],
"word": "иррациона́льное число́"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "real number that is not rational",
"tags": [
"Cyrillic",
"masculine"
],
"word": "ирaционaлни брой"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "real number that is not rational",
"tags": [
"Roman",
"masculine"
],
"word": "iracionalni broj"
},
{
"code": "es",
"lang": "Spanish",
"sense": "real number that is not rational",
"tags": [
"masculine"
],
"word": "número irracional"
},
{
"code": "tl",
"lang": "Tagalog",
"sense": "real number that is not rational",
"word": "bilang na ditagwayin"
},
{
"code": "tr",
"lang": "Turkish",
"sense": "real number that is not rational",
"word": "irrasyonel sayı"
},
{
"code": "vi",
"lang": "Vietnamese",
"sense": "real number that is not rational",
"word": "số vô tỉ"
}
],
"word": "irrational 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.