See Eulertur on Wiktionary
{
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{
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{
"form": "Eulertur",
"source": "declension",
"tags": [
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{
"form": "Eulerturen",
"source": "declension",
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},
{
"form": "Eulerture",
"source": "declension",
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"nominative",
"plural"
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},
{
"form": "Eulerturene",
"source": "declension",
"tags": [
"definite",
"nominative",
"plural"
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},
{
"form": "Eulerturs",
"source": "declension",
"tags": [
"genitive",
"indefinite",
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"10": "Eulertur",
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"16": "{{{com}}}",
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"f1accel-form": "def|s",
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"g": "",
"g2": "",
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},
"expansion": "Eulertur",
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"expansion": "Eulertur",
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"inflection_templates": [
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{
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"gen-pl-def": "Eulerturenes",
"gen-pl-def-2": "",
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"gen-pl-indef": "Eulertures",
"gen-pl-indef-2": "",
"gen-sg-def": "Eulerturens",
"gen-sg-def-2": "",
"gen-sg-indef": "Eulerturs",
"gen-sg-indef-2": "",
"gen-sg-indef-3": "",
"pl-def": "Eulerturene",
"pl-def-2": "",
"pl-def-3": "",
"pl-indef": "Eulerture",
"pl-indef-2": "",
"pl-indef-3": "",
"sg-def": "Eulerturen",
"sg-def-2": "",
"sg-indef": "Eulertur"
},
"name": "da-noun-infl-base"
}
],
"lang": "Danish",
"lang_code": "da",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "Danish entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
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"source": "w"
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{
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"parents": [],
"source": "w"
},
{
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"name": "Pages with entries",
"parents": [],
"source": "w"
},
{
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"langcode": "da",
"name": "Graph theory",
"orig": "da:Graph theory",
"parents": [
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"Visualization",
"Formal sciences",
"Computing",
"Interdisciplinary fields",
"Sciences",
"Technology",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"examples": [
{
"english": "1) If there exists a closed Eulerian trail through the graph G, then all nodes in G have even degree. 2) If all nodes in G have even degree, then there exists a closed Eulerian trail through the graph.",
"ref": "year unknown, K. Jess, J. Skott, H.C. Hansen og J. Schou, Kristine Jess, Matematik for Laererstuderende, Samfundslitteratur →ISBN, page 355",
"text": "1) Hvis der findes en lukket Eulertur gennem grafen G, så har alle knudepunkter i G lige valens. 2) Hvis alle punkter i G har lige valens, så findes der en lukket Eulertur gennem grafen."
},
{
"english": "Euler had great difficulties devising an Eulerian trail, not the least if he wanted to start and end in his home - that is, walk a closed Eulerian trail.",
"ref": "2007, Matematik for lærerstuderende : ypsilon : basisbog, Samfundslitteratur, →ISBN, page 47:",
"text": "Euler havde store vanskeligheder med at gå en Eulertur, ikke mindst hvis han ville starte og slutte i sit hjem - altså gå en lukket Eulertur.",
"type": "quote"
},
{
"english": "This would be equivalent to saying that the graph below has an ▻Eulerian trail, which it does not, as not every node has even degree: ...",
"ref": "2005, Gyldendals Minilex. Matematik, Gyldendal Uddannelse, →ISBN, page 104:",
"text": "Det ville svare til, at nedenstående graf har en ▻Eulertur, hvilket den ikke har, idet ikke hvert hjørne har lige valens: ...",
"type": "quote"
}
],
"glosses": [
"Eulerian trail"
],
"id": "en-Eulertur-da-noun-un357tKG",
"links": [
[
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],
[
"Eulerian trail",
"Eulerian trail"
]
],
"raw_glosses": [
"(graph theory) Eulerian trail"
],
"related": [
{
"word": "Eulergraf"
}
],
"topics": [
"graph-theory",
"mathematics",
"sciences"
]
}
],
"word": "Eulertur"
}
{
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},
{
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"source": "declension",
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},
{
"form": "Eulertur",
"source": "declension",
"tags": [
"indefinite",
"nominative",
"singular"
]
},
{
"form": "Eulerturen",
"source": "declension",
"tags": [
"definite",
"nominative",
"singular"
]
},
{
"form": "Eulerture",
"source": "declension",
"tags": [
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"nominative",
"plural"
]
},
{
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},
"expansion": "Eulertur",
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"name": "da-noun"
}
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"inflection_templates": [
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"args": {
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},
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"gen-pl-def": "Eulerturenes",
"gen-pl-def-2": "",
"gen-pl-def-3": "",
"gen-pl-indef": "Eulertures",
"gen-pl-indef-2": "",
"gen-sg-def": "Eulerturens",
"gen-sg-def-2": "",
"gen-sg-indef": "Eulerturs",
"gen-sg-indef-2": "",
"gen-sg-indef-3": "",
"pl-def": "Eulerturene",
"pl-def-2": "",
"pl-def-3": "",
"pl-indef": "Eulerture",
"pl-indef-2": "",
"pl-indef-3": "",
"sg-def": "Eulerturen",
"sg-def-2": "",
"sg-indef": "Eulertur"
},
"name": "da-noun-infl-base"
}
],
"lang": "Danish",
"lang_code": "da",
"pos": "noun",
"related": [
{
"word": "Eulergraf"
}
],
"senses": [
{
"categories": [
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"Danish lemmas",
"Danish nouns",
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],
"examples": [
{
"english": "1) If there exists a closed Eulerian trail through the graph G, then all nodes in G have even degree. 2) If all nodes in G have even degree, then there exists a closed Eulerian trail through the graph.",
"ref": "year unknown, K. Jess, J. Skott, H.C. Hansen og J. Schou, Kristine Jess, Matematik for Laererstuderende, Samfundslitteratur →ISBN, page 355",
"text": "1) Hvis der findes en lukket Eulertur gennem grafen G, så har alle knudepunkter i G lige valens. 2) Hvis alle punkter i G har lige valens, så findes der en lukket Eulertur gennem grafen."
},
{
"english": "Euler had great difficulties devising an Eulerian trail, not the least if he wanted to start and end in his home - that is, walk a closed Eulerian trail.",
"ref": "2007, Matematik for lærerstuderende : ypsilon : basisbog, Samfundslitteratur, →ISBN, page 47:",
"text": "Euler havde store vanskeligheder med at gå en Eulertur, ikke mindst hvis han ville starte og slutte i sit hjem - altså gå en lukket Eulertur.",
"type": "quote"
},
{
"english": "This would be equivalent to saying that the graph below has an ▻Eulerian trail, which it does not, as not every node has even degree: ...",
"ref": "2005, Gyldendals Minilex. Matematik, Gyldendal Uddannelse, →ISBN, page 104:",
"text": "Det ville svare til, at nedenstående graf har en ▻Eulertur, hvilket den ikke har, idet ikke hvert hjørne har lige valens: ...",
"type": "quote"
}
],
"glosses": [
"Eulerian trail"
],
"links": [
[
"graph theory",
"graph theory"
],
[
"Eulerian trail",
"Eulerian trail"
]
],
"raw_glosses": [
"(graph theory) Eulerian trail"
],
"topics": [
"graph-theory",
"mathematics",
"sciences"
]
}
],
"word": "Eulertur"
}
Download raw JSONL data for Eulertur meaning in All languages combined (3.8kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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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