"harmonic series" meaning in English

See harmonic series in All languages combined, or Wiktionary

Noun

Forms: harmonic series [plural]
Head templates: {{en-noun|harmonic series}} harmonic series (plural harmonic series)
  1. (mathematics, mathematical analysis) The divergent series whose terms are the reciprocals of the positive integers; the series ∑ₙ₌₁ ᪲1/n. Categories (topical): Mathematical analysis, Mathematics Translations (series of reciprocals of natural numbers): harmoninen sarja (Finnish), série harmonique [feminine] (French), harmonische Reihe [feminine] (German), 調和級数 (Japanese), szereg harmoniczny [masculine] (Polish), гармони́ческий ряд (garmoníčeskij rjad) [masculine] (Russian)
    Sense id: en-harmonic_series-en-noun-lzJSV7W2 Categories (other): English entries with incorrect language header, Entries with translation boxes, Pages with 1 entry, Pages with entries, Terms with Finnish translations, Terms with French translations, Terms with German translations, Terms with Japanese translations, Terms with Polish translations, Terms with Russian translations Disambiguation of English entries with incorrect language header: 71 29 Disambiguation of Entries with translation boxes: 87 13 Disambiguation of Pages with 1 entry: 76 24 Disambiguation of Pages with entries: 77 23 Disambiguation of Terms with Finnish translations: 83 17 Disambiguation of Terms with French translations: 83 17 Disambiguation of Terms with German translations: 82 18 Disambiguation of Terms with Japanese translations: 86 14 Disambiguation of Terms with Polish translations: 82 18 Disambiguation of Terms with Russian translations: 85 15 Topics: mathematical-analysis, mathematics, sciences Disambiguation of 'series of reciprocals of natural numbers': 65 35
  2. (music, physics) The sequence of all positive integer multiples of a base frequency. Categories (topical): Music, Physics
    Sense id: en-harmonic_series-en-noun-p6vEgCmy Topics: entertainment, lifestyle, music, natural-sciences, physical-sciences, physics
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        "The divergent series whose terms are the reciprocals of the positive integers; the series ∑ₙ₌₁ ᪲1/n."
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        "(mathematics, mathematical analysis) The divergent series whose terms are the reciprocals of the positive integers; the series ∑ₙ₌₁ ᪲1/n."
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          "_dis1": "65 35",
          "code": "fi",
          "lang": "Finnish",
          "sense": "series of reciprocals of natural numbers",
          "word": "harmoninen sarja"
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          "code": "fr",
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          "sense": "series of reciprocals of natural numbers",
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          "word": "série harmonique"
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          "code": "de",
          "lang": "German",
          "sense": "series of reciprocals of natural numbers",
          "tags": [
            "feminine"
          ],
          "word": "harmonische Reihe"
        },
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          "_dis1": "65 35",
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          "lang": "Japanese",
          "sense": "series of reciprocals of natural numbers",
          "word": "調和級数"
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          "roman": "garmoníčeskij rjad",
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          "word": "гармони́ческий ряд"
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            "Sound",
            "Culture",
            "Energy",
            "Society",
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        "(music, physics) The sequence of all positive integer multiples of a base frequency."
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  "word": "harmonic series"
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      "lang": "Finnish",
      "sense": "series of reciprocals of natural numbers",
      "word": "harmoninen sarja"
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      "word": "調和級数"
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      ],
      "word": "szereg harmoniczny"
    },
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      "roman": "garmoníčeskij rjad",
      "sense": "series of reciprocals of natural numbers",
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      "word": "гармони́ческий ряд"
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-03 from the enwiktionary dump dated 2024-11-21 using wiktextract (94ba7e1 and 5dea2a6). 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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