See saddle point in All languages combined, or Wiktionary
Download JSON data for saddle point meaning in English (3.5kB)
{
"forms": [
{
"form": "saddle points",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "saddle point (plural saddle points)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Geometry",
"orig": "en:Geometry",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "76 24",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
}
],
"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"
},
{
"_dis1": "91 9",
"code": "nb",
"lang": "Norwegian Bokmål",
"sense": "geometry",
"tags": [
"neuter"
],
"word": "sadelpunkt"
},
{
"_dis1": "91 9",
"code": "pl",
"lang": "Polish",
"sense": "geometry",
"tags": [
"masculine"
],
"word": "punkt siodłowy"
},
{
"_dis1": "91 9",
"code": "es",
"lang": "Spanish",
"sense": "geometry",
"tags": [
"masculine"
],
"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",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"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": "54 46",
"code": "fi",
"lang": "Finnish",
"sense": "game theory",
"word": "satulapiste"
},
{
"_dis1": "54 46",
"code": "de",
"lang": "German",
"sense": "game theory",
"tags": [
"masculine"
],
"word": "Sattelpunkt"
}
],
"word": "saddle point"
}
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
"English nouns"
],
"forms": [
{
"form": "saddle points",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "saddle point (plural saddle points)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
"en:Geometry"
],
"glosses": [
"A point in the range of a smooth function, every neighbourhood of which contains points on each side of its tangent plane."
],
"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"
]
},
{
"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"
]
}
],
"translations": [
{
"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"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-04-26 from the enwiktionary dump dated 2024-04-21 using wiktextract (93a6c53 and 21a9316). 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.