See rational numbers in All languages combined, or Wiktionary
{
"head_templates": [
{
"args": {
"1": "en",
"2": "noun form"
},
"expansion": "rational numbers",
"name": "head"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"form_of": [
{
"word": "rational number"
}
],
"glosses": [
"plural of rational number"
],
"id": "en-rational_numbers-en-noun-03o17U0J",
"links": [
[
"rational number",
"rational number#English"
]
],
"tags": [
"form-of",
"plural"
]
}
],
"wikipedia": [
"rational numbers"
],
"word": "rational numbers"
}
{
"head_templates": [
{
"args": {
"1": "en",
"2": "noun",
"head": "rational numbers"
},
"expansion": "rational numbers",
"name": "head"
}
],
"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"
},
{
"_dis": "11 89",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "4 96",
"kind": "other",
"name": "Entries with translation boxes",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "8 92",
"kind": "other",
"name": "Pages with 1 entry",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "3 97",
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "11 89",
"kind": "other",
"name": "Terms with Finnish translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "11 89",
"kind": "other",
"name": "Terms with Romanian translations",
"parents": [],
"source": "w+disamb"
}
],
"examples": [
{
"ref": "2002, Michael Rosen, Number Theory in Function Fields, page vii:",
"text": "Elementary number theory is concerned with the arithmetic properties of the ring of integers, ℤ, and its field of fractions, the rational numbers, ℚ.",
"type": "quote"
},
{
"ref": "2004, Ronald S. Irving, Integers, Polynomials, and Rings: A Course in Algebra, page 127:",
"text": "However, if our ring of interest is the rational numbers ℚ, then we see that[…].",
"type": "quote"
},
{
"ref": "2012, Thomas E. Kieren, “3: Rational and Fractional Numbers: From Quotient Fields to Recursive Understanding”, in Thomas P. Carpenter, Elizabeth Fennema, Thomas A. Romberg, editors, Rational Numbers: An Integration of Research, page 53:",
"text": "In the analysis that follows, properties of an ordered quotient field (Birkhoff & MacLane, 1953) are considered, because this chapter is focusing on the rational numbers, a prime example of such a field.",
"type": "quote"
}
],
"glosses": [
"The set of numbers that can be expressed as a ratio of integers, often denoted with the bold letter Q, or the blackboard bold letter ℚ."
],
"id": "en-rational_numbers-en-noun-9444VkYJ",
"links": [
[
"mathematics",
"mathematics"
],
[
"set",
"set"
],
[
"ratio",
"ratio"
],
[
"integer",
"integer"
],
[
"bold",
"bold"
],
[
"Q",
"Q"
],
[
"blackboard bold",
"blackboard bold"
],
[
"ℚ",
"ℚ"
]
],
"raw_glosses": [
"(mathematics) The set of numbers that can be expressed as a ratio of integers, often denoted with the bold letter Q, or the blackboard bold letter ℚ."
],
"topics": [
"mathematics",
"sciences"
],
"translations": [
{
"code": "fi",
"lang": "Finnish",
"sense": "set of numbers that can be expressed as a ration of integers",
"word": "rationaaliluvut"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "set of numbers that can be expressed as a ration of integers",
"tags": [
"neuter",
"plural"
],
"word": "numere raționale"
}
]
}
],
"wikipedia": [
"rational numbers"
],
"word": "rational numbers"
}
{
"categories": [
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
"English non-lemma forms",
"English noun forms",
"English nouns",
"Entries with translation boxes",
"Pages with 1 entry",
"Pages with entries",
"Terms with Finnish translations",
"Terms with Romanian translations"
],
"head_templates": [
{
"args": {
"1": "en",
"2": "noun form"
},
"expansion": "rational numbers",
"name": "head"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"form_of": [
{
"word": "rational number"
}
],
"glosses": [
"plural of rational number"
],
"links": [
[
"rational number",
"rational number#English"
]
],
"tags": [
"form-of",
"plural"
]
}
],
"wikipedia": [
"rational numbers"
],
"word": "rational numbers"
}
{
"categories": [
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
"English non-lemma forms",
"English noun forms",
"English nouns",
"Entries with translation boxes",
"Pages with 1 entry",
"Pages with entries",
"Terms with Finnish translations",
"Terms with Romanian translations"
],
"head_templates": [
{
"args": {
"1": "en",
"2": "noun",
"head": "rational numbers"
},
"expansion": "rational numbers",
"name": "head"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
"English terms with quotations",
"en:Mathematics"
],
"examples": [
{
"ref": "2002, Michael Rosen, Number Theory in Function Fields, page vii:",
"text": "Elementary number theory is concerned with the arithmetic properties of the ring of integers, ℤ, and its field of fractions, the rational numbers, ℚ.",
"type": "quote"
},
{
"ref": "2004, Ronald S. Irving, Integers, Polynomials, and Rings: A Course in Algebra, page 127:",
"text": "However, if our ring of interest is the rational numbers ℚ, then we see that[…].",
"type": "quote"
},
{
"ref": "2012, Thomas E. Kieren, “3: Rational and Fractional Numbers: From Quotient Fields to Recursive Understanding”, in Thomas P. Carpenter, Elizabeth Fennema, Thomas A. Romberg, editors, Rational Numbers: An Integration of Research, page 53:",
"text": "In the analysis that follows, properties of an ordered quotient field (Birkhoff & MacLane, 1953) are considered, because this chapter is focusing on the rational numbers, a prime example of such a field.",
"type": "quote"
}
],
"glosses": [
"The set of numbers that can be expressed as a ratio of integers, often denoted with the bold letter Q, or the blackboard bold letter ℚ."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"set",
"set"
],
[
"ratio",
"ratio"
],
[
"integer",
"integer"
],
[
"bold",
"bold"
],
[
"Q",
"Q"
],
[
"blackboard bold",
"blackboard bold"
],
[
"ℚ",
"ℚ"
]
],
"raw_glosses": [
"(mathematics) The set of numbers that can be expressed as a ratio of integers, often denoted with the bold letter Q, or the blackboard bold letter ℚ."
],
"topics": [
"mathematics",
"sciences"
]
}
],
"translations": [
{
"code": "fi",
"lang": "Finnish",
"sense": "set of numbers that can be expressed as a ration of integers",
"word": "rationaaliluvut"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "set of numbers that can be expressed as a ration of integers",
"tags": [
"neuter",
"plural"
],
"word": "numere raționale"
}
],
"wikipedia": [
"rational numbers"
],
"word": "rational numbers"
}
Download raw JSONL data for rational numbers meaning in English (3.2kB)
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-01-03 from the enwiktionary dump dated 2025-01-01 using wiktextract (eaedd02 and 8fbd9e8). 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.