"積分変換" meaning in 日本語

See 積分変換 in All languages combined, or Wiktionary

Noun

IPA: [se̞kʲibɯ̟̃ᵝɰ̃hẽ̞ŋkã̠ɴ] Forms: せきぶんへんかん
  1. T[f(t)](u)=∫_(t_1)^(t_2)K(t,u)f(t)dtで表される変換Tのこと。全て線型作用素である。
    Sense id: ja-積分変換-ja-noun-jE0-t8-a Categories (other): 日本語 微分積分学
The following are not (yet) sense-disambiguated
Related terms: フーリエ級数, 核関数, 反転公式, 対称核, シュワルツの核定理, フレドホルム理論
Categories (other): 日本語, 日本語 名詞, 日本語 国際音声記号あり Hyponyms: フーリエ変換, フーリエ正弦変換, フーリエ余弦変換, ラプラス変換, 両側ラプラス変換, ハートレー変換, メリン変換, ハンケル変換, ワイエルシュトラス変換, アーベル変換, ヒルベルト変換, 恒等変換, ポアソン核
{
  "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": "せきぶんへんかん"
    }
  ],
  "hyponyms": [
    {
      "word": "フーリエ変換"
    },
    {
      "word": "フーリエ正弦変換"
    },
    {
      "word": "フーリエ余弦変換"
    },
    {
      "word": "ラプラス変換"
    },
    {
      "word": "両側ラプラス変換"
    },
    {
      "word": "ハートレー変換"
    },
    {
      "word": "メリン変換"
    },
    {
      "word": "ハンケル変換"
    },
    {
      "word": "ワイエルシュトラス変換"
    },
    {
      "word": "アーベル変換"
    },
    {
      "word": "ヒルベルト変換"
    },
    {
      "word": "恒等変換"
    },
    {
      "word": "ポアソン核"
    }
  ],
  "lang": "日本語",
  "lang_code": "ja",
  "pos": "noun",
  "pos_title": "名詞",
  "related": [
    {
      "word": "フーリエ級数"
    },
    {
      "word": "核関数"
    },
    {
      "word": "反転公式"
    },
    {
      "word": "対称核"
    },
    {
      "word": "シュワルツの核定理"
    },
    {
      "word": "フレドホルム理論"
    }
  ],
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "日本語 微分積分学",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "T[f(t)](u)=∫_(t_1)^(t_2)K(t,u)f(t)dtで表される変換Tのこと。全て線型作用素である。"
      ],
      "id": "ja-積分変換-ja-noun-jE0-t8-a",
      "raw_tags": [
        "微分積分学"
      ]
    }
  ],
  "sounds": [
    {
      "form": "せきぶんへんかん",
      "raw_tags": [
        "東京式"
      ],
      "roman": "[sèkíbúńhéńꜜkàǹ]",
      "tags": [
        "Nakadaka"
      ]
    },
    {
      "ipa": "[se̞kʲibɯ̟̃ᵝɰ̃hẽ̞ŋkã̠ɴ]"
    }
  ],
  "word": "積分変換"
}
{
  "categories": [
    "日本語",
    "日本語 名詞",
    "日本語 国際音声記号あり"
  ],
  "forms": [
    {
      "form": "せきぶんへんかん"
    }
  ],
  "hyponyms": [
    {
      "word": "フーリエ変換"
    },
    {
      "word": "フーリエ正弦変換"
    },
    {
      "word": "フーリエ余弦変換"
    },
    {
      "word": "ラプラス変換"
    },
    {
      "word": "両側ラプラス変換"
    },
    {
      "word": "ハートレー変換"
    },
    {
      "word": "メリン変換"
    },
    {
      "word": "ハンケル変換"
    },
    {
      "word": "ワイエルシュトラス変換"
    },
    {
      "word": "アーベル変換"
    },
    {
      "word": "ヒルベルト変換"
    },
    {
      "word": "恒等変換"
    },
    {
      "word": "ポアソン核"
    }
  ],
  "lang": "日本語",
  "lang_code": "ja",
  "pos": "noun",
  "pos_title": "名詞",
  "related": [
    {
      "word": "フーリエ級数"
    },
    {
      "word": "核関数"
    },
    {
      "word": "反転公式"
    },
    {
      "word": "対称核"
    },
    {
      "word": "シュワルツの核定理"
    },
    {
      "word": "フレドホルム理論"
    }
  ],
  "senses": [
    {
      "categories": [
        "日本語 微分積分学"
      ],
      "glosses": [
        "T[f(t)](u)=∫_(t_1)^(t_2)K(t,u)f(t)dtで表される変換Tのこと。全て線型作用素である。"
      ],
      "raw_tags": [
        "微分積分学"
      ]
    }
  ],
  "sounds": [
    {
      "form": "せきぶんへんかん",
      "raw_tags": [
        "東京式"
      ],
      "roman": "[sèkíbúńhéńꜜkàǹ]",
      "tags": [
        "Nakadaka"
      ]
    },
    {
      "ipa": "[se̞kʲibɯ̟̃ᵝɰ̃hẽ̞ŋkã̠ɴ]"
    }
  ],
  "word": "積分変換"
}

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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 2025-08-01 from the jawiktionary dump dated 2025-07-21 using wiktextract (ed078bd and 3c020d2). 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.