induction hypothesis in English

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{
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      "form": "induction hypotheses",
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  "lang_code": "en",
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        "A statement which might be true for any natural number. In mathematical induction, such a statement is proven true for all natural numbers by first proving it for the base case and then proving that each case implies the next."
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      "raw_glosses": [
        "(mathematics) A statement which might be true for any natural number. In mathematical induction, such a statement is proven true for all natural numbers by first proving it for the base case and then proving that each case implies the next."
      ],
      "synonyms": [
        {
          "word": "inductive hypothesis"
        },
        {
          "word": "IH"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "induction hypothesis"
}

[Show JSON for raw wiktextract data ▼] [Hide JSON for raw wiktextract data ▲]

{
  "forms": [
    {
      "form": "induction hypotheses",
      "tags": [
        "plural"
      ]
    }
  ],
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      "expansion": "induction hypothesis (plural induction hypotheses)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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        "A statement which might be true for any natural number. In mathematical induction, such a statement is proven true for all natural numbers by first proving it for the base case and then proving that each case implies the next."
      ],
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          "mathematics",
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        "(mathematics) A statement which might be true for any natural number. In mathematical induction, such a statement is proven true for all natural numbers by first proving it for the base case and then proving that each case implies the next."
      ],
      "synonyms": [
        {
          "word": "inductive hypothesis"
        },
        {
          "word": "IH"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "induction hypothesis"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-10-22 from the enwiktionary dump dated 2024-10-02 using wiktextract (eaa6b66 and a709d4b). 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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"induction hypothesis" meaning in English

Noun