See Murasugi sum on Wiktionary
Download JSON data for Murasugi sum meaning in All languages combined (2.7kB)
{
"etymology_text": "After Kunio Murasugi.",
"forms": [
{
"form": "Murasugi sums",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "Murasugi sum (plural Murasugi sums)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"_dis": "53 47",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "52 48",
"kind": "other",
"name": "English entries with language name categories using raw markup",
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"source": "w+disamb"
},
{
"_dis": "52 48",
"kind": "other",
"name": "English terms with non-redundant non-automated sortkeys",
"parents": [
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"Entry maintenance"
],
"source": "w+disamb"
}
],
"glosses": [
"The union of a finite sequence of surfaces taken over a disk common to every adjacent pair of the sequence, such that the boundary of the disk comprises some even number of closed arcs, disjoint except at their endpoints, which are alternatingly subarcs of the two surfaces' boundaries."
],
"id": "en-Murasugi_sum-en-noun-vQeZdgSV",
"links": [
[
"union",
"union"
],
[
"surface",
"surface"
],
[
"disk",
"disk"
],
[
"boundary",
"boundary"
],
[
"closed",
"closed"
],
[
"arc",
"arc"
],
[
"subarc",
"subarc"
]
],
"translations": [
{
"_dis1": "84 16",
"code": "fr",
"lang": "French",
"sense": "union of a finite sequence of surfaces taken over a disk",
"tags": [
"feminine"
],
"word": "somme de Murasugi"
}
]
},
{
"categories": [
{
"_dis": "53 47",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "52 48",
"kind": "other",
"name": "English entries with language name categories using raw markup",
"parents": [
"Entries with language name categories using raw markup",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "52 48",
"kind": "other",
"name": "English terms with non-redundant non-automated sortkeys",
"parents": [
"Terms with non-redundant non-automated sortkeys",
"Entry maintenance"
],
"source": "w+disamb"
}
],
"glosses": [
"The union of links formed by taking such a sum of their Seifert surfaces and taking the boundary of the result."
],
"hyponyms": [
{
"_dis1": "0 100",
"word": "plumbing"
}
],
"id": "en-Murasugi_sum-en-noun-Ueh16R7w",
"links": [
[
"link",
"link"
],
[
"Seifert surface",
"Seifert surface"
]
],
"translations": [
{
"_dis1": "15 85",
"code": "fr",
"lang": "French",
"sense": "union of links",
"tags": [
"feminine"
],
"word": "somme de Murasugi"
}
]
}
],
"word": "Murasugi sum"
}
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English entries with language name categories using raw markup",
"English eponyms",
"English lemmas",
"English multiword terms",
"English nouns",
"English terms with non-redundant non-automated sortkeys"
],
"etymology_text": "After Kunio Murasugi.",
"forms": [
{
"form": "Murasugi sums",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "Murasugi sum (plural Murasugi sums)",
"name": "en-noun"
}
],
"hyponyms": [
{
"word": "plumbing"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"glosses": [
"The union of a finite sequence of surfaces taken over a disk common to every adjacent pair of the sequence, such that the boundary of the disk comprises some even number of closed arcs, disjoint except at their endpoints, which are alternatingly subarcs of the two surfaces' boundaries."
],
"links": [
[
"union",
"union"
],
[
"surface",
"surface"
],
[
"disk",
"disk"
],
[
"boundary",
"boundary"
],
[
"closed",
"closed"
],
[
"arc",
"arc"
],
[
"subarc",
"subarc"
]
]
},
{
"glosses": [
"The union of links formed by taking such a sum of their Seifert surfaces and taking the boundary of the result."
],
"links": [
[
"link",
"link"
],
[
"Seifert surface",
"Seifert surface"
]
]
}
],
"translations": [
{
"code": "fr",
"lang": "French",
"sense": "union of a finite sequence of surfaces taken over a disk",
"tags": [
"feminine"
],
"word": "somme de Murasugi"
},
{
"code": "fr",
"lang": "French",
"sense": "union of links",
"tags": [
"feminine"
],
"word": "somme de Murasugi"
}
],
"word": "Murasugi sum"
}
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-20 from the enwiktionary dump dated 2024-05-02 using wiktextract (1d5a7d1 and 304864d). 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.