"収束半径" meaning in 日本語

See 収束半径 in All languages combined, or Wiktionary

Noun

IPA: [ɕɨᵝːso̞kɯ̟ᵝhã̠ŋke̞ː] Forms: しゅうそくはんけい, 收束半徑
  1. 冪級数が収束する範囲を示す値。
    Sense id: ja-収束半径-ja-noun-IErvS09k Categories (other): 日本語 数列, 日本語 極限
The following are not (yet) sense-disambiguated
Related terms: 収束円, 各点収束, 一様収束
{
  "categories": [
    {
      "kind": "other",
      "name": "日本語",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "日本語 名詞",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "日本語 国際音声記号あり",
      "parents": [],
      "source": "w"
    }
  ],
  "forms": [
    {
      "form": "しゅうそくはんけい"
    },
    {
      "form": "收束半徑",
      "raw_tags": [
        "旧字体"
      ]
    }
  ],
  "lang": "日本語",
  "lang_code": "ja",
  "pos": "noun",
  "pos_title": "名詞",
  "related": [
    {
      "word": "収束円"
    },
    {
      "word": "各点収束"
    },
    {
      "word": "一様収束"
    }
  ],
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "日本語 数列",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "日本語 極限",
          "parents": [],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "無限数列a_nで与えられる中心cの複素冪級数∑ₙ₌₀ ᪲a_n(z-c)ⁿの収束半径がρであるとき、この級数は|z-c|<ρのとき絶対収束し、|z-c|>ρのとき発散する。"
        }
      ],
      "glosses": [
        "冪級数が収束する範囲を示す値。"
      ],
      "id": "ja-収束半径-ja-noun-IErvS09k",
      "raw_tags": [
        "数列",
        "極限"
      ]
    }
  ],
  "sounds": [
    {
      "form": "しゅうそくはんけー",
      "raw_tags": [
        "東京式"
      ],
      "roman": "[shùúsókúháńꜜkèè]",
      "tags": [
        "Nakadaka"
      ]
    },
    {
      "ipa": "[ɕɨᵝːso̞kɯ̟ᵝhã̠ŋke̞ː]"
    }
  ],
  "word": "収束半径"
}
{
  "categories": [
    "日本語",
    "日本語 名詞",
    "日本語 国際音声記号あり"
  ],
  "forms": [
    {
      "form": "しゅうそくはんけい"
    },
    {
      "form": "收束半徑",
      "raw_tags": [
        "旧字体"
      ]
    }
  ],
  "lang": "日本語",
  "lang_code": "ja",
  "pos": "noun",
  "pos_title": "名詞",
  "related": [
    {
      "word": "収束円"
    },
    {
      "word": "各点収束"
    },
    {
      "word": "一様収束"
    }
  ],
  "senses": [
    {
      "categories": [
        "日本語 数列",
        "日本語 極限"
      ],
      "examples": [
        {
          "text": "無限数列a_nで与えられる中心cの複素冪級数∑ₙ₌₀ ᪲a_n(z-c)ⁿの収束半径がρであるとき、この級数は|z-c|<ρのとき絶対収束し、|z-c|>ρのとき発散する。"
        }
      ],
      "glosses": [
        "冪級数が収束する範囲を示す値。"
      ],
      "raw_tags": [
        "数列",
        "極限"
      ]
    }
  ],
  "sounds": [
    {
      "form": "しゅうそくはんけー",
      "raw_tags": [
        "東京式"
      ],
      "roman": "[shùúsókúháńꜜkèè]",
      "tags": [
        "Nakadaka"
      ]
    },
    {
      "ipa": "[ɕɨᵝːso̞kɯ̟ᵝhã̠ŋke̞ː]"
    }
  ],
  "word": "収束半径"
}

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This page is a part of the kaikki.org machine-readable 日本語 dictionary. This dictionary is based on structured data extracted on 2025-07-19 from the jawiktionary dump dated 2025-07-02 using wiktextract (45c4a21 and f1c2b61). 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.