See upper limit on Wiktionary
{
"antonyms": [
{
"word": "lower limit"
}
],
"forms": [
{
"form": "upper limits",
"tags": [
"plural"
]
}
],
"head_templates": [
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"args": {},
"expansion": "upper limit (plural upper limits)",
"name": "en-noun"
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"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
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"name": "English entries with incorrect language header",
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{
"kind": "topical",
"langcode": "en",
"name": "Mathematical analysis",
"orig": "en:Mathematical analysis",
"parents": [
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"Formal sciences",
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],
"glosses": [
"The upper limit of a sequence of real numbers is the real number which can be found as follows: remove the first term of the sequence in order to obtain the \"first subsequence.\" Then remove the first term of the first subsequence in order to obtain the \"second subsequence.\" Repeat the removal of first terms in order to obtain a \"third subsequence,\" \"fourth subsequence,\" etc. Find the supremum of each of these subsequences, then find the infimum of all of these supremums. This infimum is the upper limit."
],
"id": "en-upper_limit-en-noun-pfc-uTsU",
"links": [
[
"mathematical analysis",
"mathematical analysis"
],
[
"real numbers",
"real numbers"
],
[
"supremum",
"supremum"
],
[
"infimum",
"infimum"
]
],
"raw_glosses": [
"(mathematical analysis) The upper limit of a sequence of real numbers is the real number which can be found as follows: remove the first term of the sequence in order to obtain the \"first subsequence.\" Then remove the first term of the first subsequence in order to obtain the \"second subsequence.\" Repeat the removal of first terms in order to obtain a \"third subsequence,\" \"fourth subsequence,\" etc. Find the supremum of each of these subsequences, then find the infimum of all of these supremums. This infimum is the upper limit."
],
"synonyms": [
{
"word": "limit superior"
}
],
"topics": [
"mathematical-analysis",
"mathematics",
"sciences"
],
"translations": [
{
"code": "fi",
"lang": "Finnish",
"sense": "the upper limit of a sequence of real numbers",
"word": "yläraja-arvo"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "the upper limit of a sequence of real numbers",
"word": "yläraja"
}
]
}
],
"word": "upper limit"
}
{
"antonyms": [
{
"word": "lower limit"
}
],
"forms": [
{
"form": "upper limits",
"tags": [
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}
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"expansion": "upper limit (plural upper limits)",
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"lang_code": "en",
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"senses": [
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"glosses": [
"The upper limit of a sequence of real numbers is the real number which can be found as follows: remove the first term of the sequence in order to obtain the \"first subsequence.\" Then remove the first term of the first subsequence in order to obtain the \"second subsequence.\" Repeat the removal of first terms in order to obtain a \"third subsequence,\" \"fourth subsequence,\" etc. Find the supremum of each of these subsequences, then find the infimum of all of these supremums. This infimum is the upper limit."
],
"links": [
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"mathematical analysis",
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"real numbers",
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[
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"infimum"
]
],
"raw_glosses": [
"(mathematical analysis) The upper limit of a sequence of real numbers is the real number which can be found as follows: remove the first term of the sequence in order to obtain the \"first subsequence.\" Then remove the first term of the first subsequence in order to obtain the \"second subsequence.\" Repeat the removal of first terms in order to obtain a \"third subsequence,\" \"fourth subsequence,\" etc. Find the supremum of each of these subsequences, then find the infimum of all of these supremums. This infimum is the upper limit."
],
"topics": [
"mathematical-analysis",
"mathematics",
"sciences"
]
}
],
"synonyms": [
{
"word": "limit superior"
}
],
"translations": [
{
"code": "fi",
"lang": "Finnish",
"sense": "the upper limit of a sequence of real numbers",
"word": "yläraja-arvo"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "the upper limit of a sequence of real numbers",
"word": "yläraja"
}
],
"word": "upper limit"
}
Download raw JSONL data for upper limit meaning in All languages combined (2.1kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.