See バナッハ空間 on Wiktionary
Download JSON data for バナッハ空間 meaning in All languages combined (2.7kB)
{
"forms": [
{
"form": "バナッハ空間",
"ruby": [
[
"空",
"くう"
],
[
"間",
"かん"
]
],
"tags": [
"canonical"
]
},
{
"form": "Banahha kūkan",
"tags": [
"romanization"
]
}
],
"head_templates": [
{
"args": {
"1": "^バナッハ くうかん"
},
"expansion": "バナッハ空(くう)間(かん) • (Banahha kūkan)",
"name": "ja-noun"
}
],
"lang": "Japanese",
"lang_code": "ja",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "Japanese entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "other",
"name": "Japanese entries with topic categories using raw markup",
"parents": [
"Entries with topic categories using raw markup",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "other",
"name": "Japanese links with redundant wikilinks",
"parents": [
"Links with redundant wikilinks",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "other",
"name": "Japanese terms with non-redundant non-automated sortkeys",
"parents": [
"Terms with non-redundant non-automated sortkeys",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "other",
"name": "Japanese terms with redundant sortkeys",
"parents": [
"Terms with redundant sortkeys",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "other",
"name": "Pages with raw sortkeys",
"parents": [],
"source": "w"
},
{
"kind": "topical",
"langcode": "ja",
"name": "Functional analysis",
"orig": "ja:Functional analysis",
"parents": [
"Mathematical analysis",
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "ja",
"name": "Mathematical analysis",
"orig": "ja:Mathematical analysis",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "ja",
"name": "Mathematics",
"orig": "ja:Mathematics",
"parents": [
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"glosses": [
"Banach space - a normed vector space which is complete, in the sense that Cauchy sequences converge"
],
"id": "en-バナッハ空間-ja-noun-smR6~4yS",
"links": [
[
"mathematical analysis",
"mathematical analysis"
],
[
"Banach space",
"Banach space"
],
[
"normed",
"normed"
],
[
"vector space",
"vector space"
],
[
"complete",
"complete"
],
[
"Cauchy sequence",
"Cauchy sequence"
],
[
"converge",
"converge"
]
],
"raw_glosses": [
"(mathematical analysis) Banach space - a normed vector space which is complete, in the sense that Cauchy sequences converge"
],
"related": [
{
"english": "Hilbert space",
"roman": "Hiruberuto kūkan",
"ruby": [
[
"空間",
"くうかん"
]
],
"word": "ヒルベルト空間"
}
],
"topics": [
"mathematical-analysis",
"mathematics",
"sciences"
]
}
],
"word": "バナッハ空間"
}
{
"forms": [
{
"form": "バナッハ空間",
"ruby": [
[
"空",
"くう"
],
[
"間",
"かん"
]
],
"tags": [
"canonical"
]
},
{
"form": "Banahha kūkan",
"tags": [
"romanization"
]
}
],
"head_templates": [
{
"args": {
"1": "^バナッハ くうかん"
},
"expansion": "バナッハ空(くう)間(かん) • (Banahha kūkan)",
"name": "ja-noun"
}
],
"lang": "Japanese",
"lang_code": "ja",
"pos": "noun",
"related": [
{
"english": "Hilbert space",
"roman": "Hiruberuto kūkan",
"ruby": [
[
"空間",
"くうかん"
]
],
"word": "ヒルベルト空間"
}
],
"senses": [
{
"categories": [
"Japanese entries with incorrect language header",
"Japanese entries with topic categories using raw markup",
"Japanese lemmas",
"Japanese links with redundant wikilinks",
"Japanese nouns",
"Japanese terms spelled with first grade kanji",
"Japanese terms spelled with second grade kanji",
"Japanese terms with non-redundant non-automated sortkeys",
"Japanese terms with redundant sortkeys",
"Japanese terms written with two Han script characters",
"Pages with raw sortkeys",
"ja:Functional analysis",
"ja:Mathematical analysis",
"ja:Mathematics"
],
"glosses": [
"Banach space - a normed vector space which is complete, in the sense that Cauchy sequences converge"
],
"links": [
[
"mathematical analysis",
"mathematical analysis"
],
[
"Banach space",
"Banach space"
],
[
"normed",
"normed"
],
[
"vector space",
"vector space"
],
[
"complete",
"complete"
],
[
"Cauchy sequence",
"Cauchy sequence"
],
[
"converge",
"converge"
]
],
"raw_glosses": [
"(mathematical analysis) Banach space - a normed vector space which is complete, in the sense that Cauchy sequences converge"
],
"topics": [
"mathematical-analysis",
"mathematics",
"sciences"
]
}
],
"word": "バナッハ空間"
}
{
"called_from": "parser/1336",
"msg": "no corresponding start tag found for </span>",
"path": [
"バナッハ空間"
],
"section": "Japanese",
"subsection": "noun",
"title": "バナッハ空間",
"trace": ""
}
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-10 from the enwiktionary dump dated 2024-05-02 using wiktextract (a644e18 and edd475d). 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.