See infinite series in All languages combined, or Wiktionary
{
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"lang_code": "en",
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"examples": [
{
"text": "In 1734, Leonhard Euler solved the Basel problem by summing the infinite series #x5C;textstyle#x5C;frac#x7B;1#x7D;#x7B;1²#x7D;#x2B;#x5C;frac#x7B;1#x7D;#x7B;2²#x7D;#x2B;#x5C;frac#x7B;1#x7D;#x7B;3²#x7D;#x2B;#x5C;cdots#x3D;#x5C;sum#x5F;#x7B;n#x3D;1#x7D;#x7B;#x5C;infty#x7D;#x5C;frac#x7B;1#x7D;#x7B;n²#x7D;#x3D;#x5C;frac#x7B;#x5C;pi²#x7D;#x7B;6#x7D;.",
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"Any expression that represents the addition a countably infinite number of ordered summands, often explicitly indexed by the positive or nonnegative integers."
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"id": "en-infinite_series-en-noun-hOGQx4m3",
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"(mathematical analysis) Any expression that represents the addition a countably infinite number of ordered summands, often explicitly indexed by the positive or nonnegative integers."
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"code": "da",
"lang": "Danish",
"sense": "infinite series",
"word": "uendelig række"
},
{
"code": "ja",
"lang": "Japanese",
"roman": "mugenkyūsū",
"sense": "infinite series",
"word": "無限級数"
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{
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"sense": "infinite series",
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"feminine"
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"roman": "beskonéčnyj rjad",
"sense": "infinite series",
"tags": [
"masculine"
],
"word": "бесконе́чный ряд"
},
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"sense": "infinite series",
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"masculine"
],
"word": "beskonačni red"
},
{
"code": "tl",
"lang": "Tagalog",
"sense": "infinite series",
"word": "awangganing dalayray"
}
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"text": "In 1734, Leonhard Euler solved the Basel problem by summing the infinite series #x5C;textstyle#x5C;frac#x7B;1#x7D;#x7B;1²#x7D;#x2B;#x5C;frac#x7B;1#x7D;#x7B;2²#x7D;#x2B;#x5C;frac#x7B;1#x7D;#x7B;3²#x7D;#x2B;#x5C;cdots#x3D;#x5C;sum#x5F;#x7B;n#x3D;1#x7D;#x7B;#x5C;infty#x7D;#x5C;frac#x7B;1#x7D;#x7B;n²#x7D;#x3D;#x5C;frac#x7B;#x5C;pi²#x7D;#x7B;6#x7D;.",
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"(mathematical analysis) Any expression that represents the addition a countably infinite number of ordered summands, often explicitly indexed by the positive or nonnegative integers."
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"code": "da",
"lang": "Danish",
"sense": "infinite series",
"word": "uendelig række"
},
{
"code": "ja",
"lang": "Japanese",
"roman": "mugenkyūsū",
"sense": "infinite series",
"word": "無限級数"
},
{
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"lang": "Romanian",
"sense": "infinite series",
"tags": [
"feminine"
],
"word": "serie infinită"
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{
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"lang": "Russian",
"roman": "beskonéčnyj rjad",
"sense": "infinite series",
"tags": [
"masculine"
],
"word": "бесконе́чный ряд"
},
{
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"masculine"
],
"word": "beskonačni red"
},
{
"code": "tl",
"lang": "Tagalog",
"sense": "infinite series",
"word": "awangganing dalayray"
}
],
"word": "infinite series"
}
Download raw JSONL data for infinite series meaning in English (2.5kB)
This page is a part of the kaikki.org machine-readable English 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.
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