See Borel summation in All languages combined, or Wiktionary
Download JSON data for Borel summation meaning in English (2.3kB)
{
"etymology_text": "Introduced by Émile Borel in 1899.",
"forms": [
{
"form": "Borel summations",
"tags": [
"plural"
]
}
],
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{
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"2": "s"
},
"expansion": "Borel summation (usually uncountable, plural Borel summations)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
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"kind": "other",
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{
"kind": "topical",
"langcode": "en",
"name": "Mathematics",
"orig": "en:Mathematics",
"parents": [
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"Sciences",
"All topics",
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],
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}
],
"glosses": [
"A summation method for divergent series, particularly useful for summing divergent asymptotic series, and in some sense giving the best possible sum for such series."
],
"id": "en-Borel_summation-en-noun-hxEDaQUs",
"links": [
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"mathematics",
"mathematics"
],
[
"divergent",
"divergent"
],
[
"series",
"series"
],
[
"asymptotic",
"asymptotic"
]
],
"raw_glosses": [
"(mathematics) A summation method for divergent series, particularly useful for summing divergent asymptotic series, and in some sense giving the best possible sum for such series."
],
"related": [
{
"word": "Mittag-Leffler summation"
}
],
"tags": [
"uncountable",
"usually"
],
"topics": [
"mathematics",
"sciences"
],
"translations": [
{
"code": "fi",
"lang": "Finnish",
"sense": "Translations",
"word": "Borelin yhteenlasku"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "Translations",
"word": "Borelin summakaava"
},
{
"code": "de",
"lang": "German",
"sense": "Translations",
"tags": [
"feminine"
],
"word": "Borel-Summation"
},
{
"code": "de",
"lang": "German",
"sense": "Translations",
"tags": [
"feminine"
],
"word": "Borel-Summierung"
},
{
"code": "pl",
"lang": "Polish",
"sense": "Translations",
"tags": [
"feminine"
],
"word": "suma borelowska"
}
]
}
],
"word": "Borel summation"
}
{
"etymology_text": "Introduced by Émile Borel in 1899.",
"forms": [
{
"form": "Borel summations",
"tags": [
"plural"
]
}
],
"head_templates": [
{
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"expansion": "Borel summation (usually uncountable, plural Borel summations)",
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}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"related": [
{
"word": "Mittag-Leffler summation"
}
],
"senses": [
{
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"English uncountable nouns",
"Translation table header lacks gloss",
"en:Mathematics"
],
"glosses": [
"A summation method for divergent series, particularly useful for summing divergent asymptotic series, and in some sense giving the best possible sum for such series."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"divergent",
"divergent"
],
[
"series",
"series"
],
[
"asymptotic",
"asymptotic"
]
],
"raw_glosses": [
"(mathematics) A summation method for divergent series, particularly useful for summing divergent asymptotic series, and in some sense giving the best possible sum for such series."
],
"tags": [
"uncountable",
"usually"
],
"topics": [
"mathematics",
"sciences"
]
}
],
"translations": [
{
"code": "fi",
"lang": "Finnish",
"sense": "Translations",
"word": "Borelin yhteenlasku"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "Translations",
"word": "Borelin summakaava"
},
{
"code": "de",
"lang": "German",
"sense": "Translations",
"tags": [
"feminine"
],
"word": "Borel-Summation"
},
{
"code": "de",
"lang": "German",
"sense": "Translations",
"tags": [
"feminine"
],
"word": "Borel-Summierung"
},
{
"code": "pl",
"lang": "Polish",
"sense": "Translations",
"tags": [
"feminine"
],
"word": "suma borelowska"
}
],
"word": "Borel summation"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-06-04 from the enwiktionary dump dated 2024-05-02 using wiktextract (e9e0a99 and db5a844). 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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