See saddle point on Wiktionary
{
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"form": "saddle points",
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"lang_code": "en",
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],
"glosses": [
"A point in the range of a smooth function, every neighbourhood of which contains points on each side of its tangent plane."
],
"id": "en-saddle_point-en-noun-a4HnEZbV",
"links": [
[
"geometry",
"geometry"
],
[
"point",
"point#Noun"
],
[
"range",
"range#Noun"
],
[
"smooth",
"smooth#Adjective"
],
[
"function",
"function#Noun"
],
[
"neighbourhood",
"neighbourhood"
],
[
"contain",
"contain"
],
[
"side",
"side#Noun"
],
[
"tangent",
"tangent#Adjective"
],
[
"plane",
"plane#Noun"
]
],
"raw_glosses": [
"(geometry) A point in the range of a smooth function, every neighbourhood of which contains points on each side of its tangent plane."
],
"synonyms": [
{
"word": "saddle"
}
],
"topics": [
"geometry",
"mathematics",
"sciences"
],
"translations": [
{
"_dis1": "91 9",
"code": "et",
"lang": "Estonian",
"sense": "geometry",
"word": "sadulpunkt"
},
{
"_dis1": "91 9",
"code": "fi",
"lang": "Finnish",
"sense": "geometry",
"word": "satulapiste"
},
{
"_dis1": "91 9",
"code": "fr",
"lang": "French",
"sense": "geometry",
"tags": [
"masculine"
],
"word": "point col"
},
{
"_dis1": "91 9",
"code": "de",
"lang": "German",
"sense": "geometry",
"tags": [
"masculine"
],
"word": "Sattelpunkt"
},
{
"_dis1": "91 9",
"code": "hu",
"lang": "Hungarian",
"sense": "geometry",
"word": "nyeregpont"
},
{
"_dis1": "91 9",
"code": "is",
"lang": "Icelandic",
"sense": "geometry",
"tags": [
"masculine"
],
"word": "söðulpunktur"
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{
"_dis1": "91 9",
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"sense": "geometry",
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"neuter"
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"word": "sadelpunkt"
},
{
"_dis1": "91 9",
"code": "pl",
"lang": "Polish",
"sense": "geometry",
"tags": [
"masculine"
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"word": "punkt siodłowy"
},
{
"_dis1": "91 9",
"code": "es",
"lang": "Spanish",
"sense": "geometry",
"tags": [
"masculine"
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"word": "punto de silla"
},
{
"_dis1": "91 9",
"code": "sv",
"lang": "Swedish",
"sense": "geometry",
"tags": [
"common-gender"
],
"word": "sadelpunkt"
}
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Game theory",
"orig": "en:Game theory",
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"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
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],
"glosses": [
"Such a point in the graphical representation of the possible outcomes of a game."
],
"id": "en-saddle_point-en-noun-8rf7RjbX",
"links": [
[
"game theory",
"game theory"
],
[
"graphical",
"graphical"
],
[
"representation",
"representation"
],
[
"possible",
"possible#Adjective"
],
[
"outcome",
"outcome"
],
[
"game",
"game#Noun"
]
],
"raw_glosses": [
"(game theory) Such a point in the graphical representation of the possible outcomes of a game."
],
"topics": [
"computing",
"engineering",
"game-theory",
"mathematics",
"natural-sciences",
"physical-sciences",
"sciences"
],
"translations": [
{
"_dis1": "0 100",
"code": "fi",
"lang": "Finnish",
"sense": "game theory",
"word": "satulapiste"
},
{
"_dis1": "0 100",
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"lang": "German",
"sense": "game theory",
"tags": [
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"word": "saddle point"
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{
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"forms": [
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"form": "saddle points",
"tags": [
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{
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"A point in the range of a smooth function, every neighbourhood of which contains points on each side of its tangent plane."
],
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"point",
"point#Noun"
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"range",
"range#Noun"
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[
"function",
"function#Noun"
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[
"neighbourhood",
"neighbourhood"
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[
"contain",
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[
"side",
"side#Noun"
],
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"tangent",
"tangent#Adjective"
],
[
"plane",
"plane#Noun"
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],
"raw_glosses": [
"(geometry) A point in the range of a smooth function, every neighbourhood of which contains points on each side of its tangent plane."
],
"synonyms": [
{
"word": "saddle"
}
],
"topics": [
"geometry",
"mathematics",
"sciences"
]
},
{
"categories": [
"en:Game theory"
],
"glosses": [
"Such a point in the graphical representation of the possible outcomes of a game."
],
"links": [
[
"game theory",
"game theory"
],
[
"graphical",
"graphical"
],
[
"representation",
"representation"
],
[
"possible",
"possible#Adjective"
],
[
"outcome",
"outcome"
],
[
"game",
"game#Noun"
]
],
"raw_glosses": [
"(game theory) Such a point in the graphical representation of the possible outcomes of a game."
],
"topics": [
"computing",
"engineering",
"game-theory",
"mathematics",
"natural-sciences",
"physical-sciences",
"sciences"
]
}
],
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{
"code": "et",
"lang": "Estonian",
"sense": "geometry",
"word": "sadulpunkt"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "geometry",
"word": "satulapiste"
},
{
"code": "fr",
"lang": "French",
"sense": "geometry",
"tags": [
"masculine"
],
"word": "point col"
},
{
"code": "de",
"lang": "German",
"sense": "geometry",
"tags": [
"masculine"
],
"word": "Sattelpunkt"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "geometry",
"word": "nyeregpont"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "geometry",
"tags": [
"masculine"
],
"word": "söðulpunktur"
},
{
"code": "nb",
"lang": "Norwegian Bokmål",
"sense": "geometry",
"tags": [
"neuter"
],
"word": "sadelpunkt"
},
{
"code": "pl",
"lang": "Polish",
"sense": "geometry",
"tags": [
"masculine"
],
"word": "punkt siodłowy"
},
{
"code": "es",
"lang": "Spanish",
"sense": "geometry",
"tags": [
"masculine"
],
"word": "punto de silla"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "geometry",
"tags": [
"common-gender"
],
"word": "sadelpunkt"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "game theory",
"word": "satulapiste"
},
{
"code": "de",
"lang": "German",
"sense": "game theory",
"tags": [
"masculine"
],
"word": "Sattelpunkt"
}
],
"word": "saddle point"
}
Download raw JSONL data for saddle point meaning in All languages combined (3.2kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.