See harmonic series in All languages combined, or Wiktionary
Download JSON data for harmonic series meaning in English (3.3kB)
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{
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"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Mathematical analysis",
"orig": "en:Mathematical analysis",
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{
"_dis": "70 30",
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],
"glosses": [
"The divergent series whose terms are the reciprocals of the positive integers; the series ∑ₙ₌₁ ᪲1/n."
],
"id": "en-harmonic_series-en-noun-lzJSV7W2",
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],
"raw_glosses": [
"(mathematics, mathematical analysis) The divergent series whose terms are the reciprocals of the positive integers; the series ∑ₙ₌₁ ᪲1/n."
],
"topics": [
"mathematical-analysis",
"mathematics",
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"translations": [
{
"_dis1": "60 40",
"code": "fi",
"lang": "Finnish",
"sense": "series of reciprocals of natural numbers",
"word": "harmoninen sarja"
},
{
"_dis1": "60 40",
"code": "fr",
"lang": "French",
"sense": "series of reciprocals of natural numbers",
"tags": [
"feminine"
],
"word": "série harmonique"
},
{
"_dis1": "60 40",
"code": "de",
"lang": "German",
"sense": "series of reciprocals of natural numbers",
"tags": [
"feminine"
],
"word": "harmonische Reihe"
},
{
"_dis1": "60 40",
"code": "ja",
"lang": "Japanese",
"sense": "series of reciprocals of natural numbers",
"word": "調和級数"
},
{
"_dis1": "60 40",
"code": "pl",
"lang": "Polish",
"sense": "series of reciprocals of natural numbers",
"tags": [
"masculine"
],
"word": "szereg harmoniczny"
},
{
"_dis1": "60 40",
"code": "ru",
"lang": "Russian",
"roman": "garmoníčeskij rjad",
"sense": "series of reciprocals of natural numbers",
"tags": [
"masculine"
],
"word": "гармони́ческий ряд"
}
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Music",
"orig": "en:Music",
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],
"glosses": [
"The sequence of all positive integer multiples of a base frequency."
],
"id": "en-harmonic_series-en-noun-p6vEgCmy",
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"music",
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"physics",
"physics"
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"sequence",
"sequence"
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[
"positive",
"positive"
],
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"integer",
"integer"
],
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"frequency",
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]
],
"raw_glosses": [
"(music, physics) The sequence of all positive integer multiples of a base frequency."
],
"topics": [
"entertainment",
"lifestyle",
"music",
"natural-sciences",
"physical-sciences",
"physics"
]
}
],
"wikipedia": [
"Harmonic series"
],
"word": "harmonic series"
}
{
"categories": [
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"forms": [
{
"form": "harmonic series",
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"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
"en:Mathematical analysis",
"en:Mathematics"
],
"glosses": [
"The divergent series whose terms are the reciprocals of the positive integers; the series ∑ₙ₌₁ ᪲1/n."
],
"links": [
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],
"raw_glosses": [
"(mathematics, mathematical analysis) The divergent series whose terms are the reciprocals of the positive integers; the series ∑ₙ₌₁ ᪲1/n."
],
"topics": [
"mathematical-analysis",
"mathematics",
"sciences"
]
},
{
"categories": [
"en:Music",
"en:Physics"
],
"glosses": [
"The sequence of all positive integer multiples of a base frequency."
],
"links": [
[
"music",
"music"
],
[
"physics",
"physics"
],
[
"sequence",
"sequence"
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"positive",
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"integer",
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],
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"raw_glosses": [
"(music, physics) The sequence of all positive integer multiples of a base frequency."
],
"topics": [
"entertainment",
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"music",
"natural-sciences",
"physical-sciences",
"physics"
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],
"translations": [
{
"code": "fi",
"lang": "Finnish",
"sense": "series of reciprocals of natural numbers",
"word": "harmoninen sarja"
},
{
"code": "fr",
"lang": "French",
"sense": "series of reciprocals of natural numbers",
"tags": [
"feminine"
],
"word": "série harmonique"
},
{
"code": "de",
"lang": "German",
"sense": "series of reciprocals of natural numbers",
"tags": [
"feminine"
],
"word": "harmonische Reihe"
},
{
"code": "ja",
"lang": "Japanese",
"sense": "series of reciprocals of natural numbers",
"word": "調和級数"
},
{
"code": "pl",
"lang": "Polish",
"sense": "series of reciprocals of natural numbers",
"tags": [
"masculine"
],
"word": "szereg harmoniczny"
},
{
"code": "ru",
"lang": "Russian",
"roman": "garmoníčeskij rjad",
"sense": "series of reciprocals of natural numbers",
"tags": [
"masculine"
],
"word": "гармони́ческий ряд"
}
],
"wikipedia": [
"Harmonic series"
],
"word": "harmonic series"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-04-26 from the enwiktionary dump dated 2024-04-21 using wiktextract (93a6c53 and 21a9316). 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.