See L'Hôpital's rule in All languages combined, or Wiktionary
Download JSON data for L'Hôpital's rule meaning in English (3.9kB)
{
"etymology_text": "Named after French mathematician Guillaume de l'Hôpital (1661–1704).",
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"args": {},
"expansion": "L'Hôpital's rule",
"name": "en-proper noun"
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],
"lang": "English",
"lang_code": "en",
"pos": "name",
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},
{
"kind": "topical",
"langcode": "en",
"name": "Mathematics",
"orig": "en:Mathematics",
"parents": [
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
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}
],
"glosses": [
"The rule that the limit of the ratio of two functions equals the limit of the ratio of their derivatives, usable when the former limit is indeterminate and the latter limit exists."
],
"id": "en-L'Hôpital's_rule-en-name-I6zEv-Qp",
"links": [
[
"mathematics",
"mathematics"
],
[
"rule",
"rule"
],
[
"limit",
"limit"
],
[
"derivative",
"derivative"
],
[
"indeterminate",
"indeterminate"
]
],
"raw_glosses": [
"(mathematics) The rule that the limit of the ratio of two functions equals the limit of the ratio of their derivatives, usable when the former limit is indeterminate and the latter limit exists."
],
"synonyms": [
{
"word": "L'Hôpital's Rule"
},
{
"word": "l'Hôpital's Rule"
},
{
"word": "l'Hôpital's rule"
},
{
"word": "L'Hospital's rule"
},
{
"word": "rule of L'Hôpital"
},
{
"word": "rule of l'Hôpital"
}
],
"topics": [
"mathematics",
"sciences"
],
"translations": [
{
"code": "ca",
"lang": "Catalan",
"sense": "a rule which uses derivatives to help evaluate limits involving indeterminate forms",
"tags": [
"feminine"
],
"word": "regla de L'Hôpital"
},
{
"code": "fr",
"lang": "French",
"sense": "a rule which uses derivatives to help evaluate limits involving indeterminate forms",
"tags": [
"feminine"
],
"word": "règle de L’Hôpital"
},
{
"code": "gl",
"lang": "Galician",
"sense": "a rule which uses derivatives to help evaluate limits involving indeterminate forms",
"tags": [
"feminine"
],
"word": "regra de l'Hôpital"
},
{
"code": "it",
"lang": "Italian",
"sense": "a rule which uses derivatives to help evaluate limits involving indeterminate forms",
"tags": [
"feminine"
],
"word": "regola di De l'Hôpital"
},
{
"code": "pl",
"lang": "Polish",
"sense": "a rule which uses derivatives to help evaluate limits involving indeterminate forms",
"tags": [
"feminine"
],
"word": "reguła de l'Hospitala"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "a rule which uses derivatives to help evaluate limits involving indeterminate forms",
"tags": [
"feminine"
],
"word": "regra de L'Hôpital"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "a rule which uses derivatives to help evaluate limits involving indeterminate forms",
"tags": [
"feminine"
],
"word": "regra de L'Hospital"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "a rule which uses derivatives to help evaluate limits involving indeterminate forms",
"tags": [
"feminine"
],
"word": "regula lui l'Hôpital"
},
{
"code": "es",
"lang": "Spanish",
"sense": "a rule which uses derivatives to help evaluate limits involving indeterminate forms",
"tags": [
"feminine"
],
"word": "regla de l'Hôpital"
},
{
"code": "tr",
"lang": "Turkish",
"sense": "a rule which uses derivatives to help evaluate limits involving indeterminate forms",
"word": "L'Hôpital kuralı"
},
{
"code": "tr",
"lang": "Turkish",
"sense": "a rule which uses derivatives to help evaluate limits involving indeterminate forms",
"word": "L'Hospital kuralı"
}
],
"wikipedia": [
"Guillaume de l'Hôpital",
"L'Hôpital's rule"
]
}
],
"sounds": [
{
"ipa": "/ˌloʊpiːˈtɑːlz ˈɹuːl/"
}
],
"word": "L'Hôpital's rule"
}
{
"etymology_text": "Named after French mathematician Guillaume de l'Hôpital (1661–1704).",
"head_templates": [
{
"args": {},
"expansion": "L'Hôpital's rule",
"name": "en-proper noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "name",
"senses": [
{
"categories": [
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"English eponyms",
"English lemmas",
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"English proper nouns",
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"English terms spelled with ◌̂",
"English terms with IPA pronunciation",
"English terms with non-redundant non-automated sortkeys",
"English uncountable nouns",
"en:Mathematics"
],
"glosses": [
"The rule that the limit of the ratio of two functions equals the limit of the ratio of their derivatives, usable when the former limit is indeterminate and the latter limit exists."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"rule",
"rule"
],
[
"limit",
"limit"
],
[
"derivative",
"derivative"
],
[
"indeterminate",
"indeterminate"
]
],
"raw_glosses": [
"(mathematics) The rule that the limit of the ratio of two functions equals the limit of the ratio of their derivatives, usable when the former limit is indeterminate and the latter limit exists."
],
"topics": [
"mathematics",
"sciences"
],
"wikipedia": [
"Guillaume de l'Hôpital",
"L'Hôpital's rule"
]
}
],
"sounds": [
{
"ipa": "/ˌloʊpiːˈtɑːlz ˈɹuːl/"
}
],
"synonyms": [
{
"word": "L'Hôpital's Rule"
},
{
"word": "l'Hôpital's Rule"
},
{
"word": "l'Hôpital's rule"
},
{
"word": "L'Hospital's rule"
},
{
"word": "rule of L'Hôpital"
},
{
"word": "rule of l'Hôpital"
}
],
"translations": [
{
"code": "ca",
"lang": "Catalan",
"sense": "a rule which uses derivatives to help evaluate limits involving indeterminate forms",
"tags": [
"feminine"
],
"word": "regla de L'Hôpital"
},
{
"code": "fr",
"lang": "French",
"sense": "a rule which uses derivatives to help evaluate limits involving indeterminate forms",
"tags": [
"feminine"
],
"word": "règle de L’Hôpital"
},
{
"code": "gl",
"lang": "Galician",
"sense": "a rule which uses derivatives to help evaluate limits involving indeterminate forms",
"tags": [
"feminine"
],
"word": "regra de l'Hôpital"
},
{
"code": "it",
"lang": "Italian",
"sense": "a rule which uses derivatives to help evaluate limits involving indeterminate forms",
"tags": [
"feminine"
],
"word": "regola di De l'Hôpital"
},
{
"code": "pl",
"lang": "Polish",
"sense": "a rule which uses derivatives to help evaluate limits involving indeterminate forms",
"tags": [
"feminine"
],
"word": "reguła de l'Hospitala"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "a rule which uses derivatives to help evaluate limits involving indeterminate forms",
"tags": [
"feminine"
],
"word": "regra de L'Hôpital"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "a rule which uses derivatives to help evaluate limits involving indeterminate forms",
"tags": [
"feminine"
],
"word": "regra de L'Hospital"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "a rule which uses derivatives to help evaluate limits involving indeterminate forms",
"tags": [
"feminine"
],
"word": "regula lui l'Hôpital"
},
{
"code": "es",
"lang": "Spanish",
"sense": "a rule which uses derivatives to help evaluate limits involving indeterminate forms",
"tags": [
"feminine"
],
"word": "regla de l'Hôpital"
},
{
"code": "tr",
"lang": "Turkish",
"sense": "a rule which uses derivatives to help evaluate limits involving indeterminate forms",
"word": "L'Hôpital kuralı"
},
{
"code": "tr",
"lang": "Turkish",
"sense": "a rule which uses derivatives to help evaluate limits involving indeterminate forms",
"word": "L'Hospital kuralı"
}
],
"word": "L'Hôpital's rule"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-03 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.
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