See Fatou set on Wiktionary
{
"etymology_text": "Named after Pierre Fatou.",
"forms": [
{
"form": "Fatou sets",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "Fatou set (plural Fatou sets)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
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"source": "w"
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{
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"langcode": "en",
"name": "Mathematics",
"orig": "en:Mathematics",
"parents": [
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"glosses": [
"A set that is complementary to the Julia set, and that informally consists of values with the property that all nearby values behave similarly under repeated iteration of the function."
],
"id": "en-Fatou_set-en-noun-xeo69FGA",
"links": [
[
"mathematics",
"mathematics"
],
[
"set",
"set"
],
[
"complementary",
"complementary"
],
[
"Julia set",
"Julia set"
],
[
"iteration",
"iteration"
],
[
"function",
"function"
]
],
"raw_glosses": [
"(mathematics) A set that is complementary to the Julia set, and that informally consists of values with the property that all nearby values behave similarly under repeated iteration of the function."
],
"related": [
{
"word": "Fatou component"
}
],
"topics": [
"mathematics",
"sciences"
],
"wikipedia": [
"Pierre Fatou"
]
}
],
"word": "Fatou set"
}
{
"etymology_text": "Named after Pierre Fatou.",
"forms": [
{
"form": "Fatou sets",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "Fatou set (plural Fatou sets)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"related": [
{
"word": "Fatou component"
}
],
"senses": [
{
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"glosses": [
"A set that is complementary to the Julia set, and that informally consists of values with the property that all nearby values behave similarly under repeated iteration of the function."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"set",
"set"
],
[
"complementary",
"complementary"
],
[
"Julia set",
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],
[
"iteration",
"iteration"
],
[
"function",
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]
],
"raw_glosses": [
"(mathematics) A set that is complementary to the Julia set, and that informally consists of values with the property that all nearby values behave similarly under repeated iteration of the function."
],
"topics": [
"mathematics",
"sciences"
],
"wikipedia": [
"Pierre Fatou"
]
}
],
"word": "Fatou set"
}
Download raw JSONL data for Fatou set meaning in All languages combined (1.2kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-02-26 from the enwiktionary dump dated 2025-02-21 using wiktextract (ce0be54 and f2e72e5). 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.