"Ducci sequence" meaning in English

{
  "etymology_text": "Named after Italian mathematician Enrico Ducci (1864–1940), who discovered in the 1930s that every such sequence eventually becomes periodic.",
  "forms": [
    {
      "form": "Ducci sequences",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Ducci sequence (plural Ducci sequences)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English entries with language name categories using raw markup",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [],
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        },
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          "kind": "other",
          "name": "Pages with 1 entry",
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        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "A sequence of n-tuples of integers (a_1,a_2,...,a_n), such that the next n-tuple in the sequence is formed by taking the absolute differences of neighbouring integers: (a_1,a_2,...,a_n)→(|a_1-a_2|,|a_2-a_3|,...,|a_n-a_1|),."
      ],
      "id": "en-Ducci_sequence-en-noun-SCzstwQd",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "sequence",
          "sequence"
        ],
        [
          "n-tuple",
          "n-tuple"
        ],
        [
          "integer",
          "integer"
        ],
        [
          "absolute",
          "absolute"
        ],
        [
          "difference",
          "difference"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A sequence of n-tuples of integers (a_1,a_2,...,a_n), such that the next n-tuple in the sequence is formed by taking the absolute differences of neighbouring integers: (a_1,a_2,...,a_n)→(|a_1-a_2|,|a_2-a_3|,...,|a_n-a_1|),."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Ducci sequence"
}

{
  "etymology_text": "Named after Italian mathematician Enrico Ducci (1864–1940), who discovered in the 1930s that every such sequence eventually becomes periodic.",
  "forms": [
    {
      "form": "Ducci sequences",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Ducci sequence (plural Ducci sequences)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
      ],
      "glosses": [
        "A sequence of n-tuples of integers (a_1,a_2,...,a_n), such that the next n-tuple in the sequence is formed by taking the absolute differences of neighbouring integers: (a_1,a_2,...,a_n)→(|a_1-a_2|,|a_2-a_3|,...,|a_n-a_1|),."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "sequence",
          "sequence"
        ],
        [
          "n-tuple",
          "n-tuple"
        ],
        [
          "integer",
          "integer"
        ],
        [
          "absolute",
          "absolute"
        ],
        [
          "difference",
          "difference"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A sequence of n-tuples of integers (a_1,a_2,...,a_n), such that the next n-tuple in the sequence is formed by taking the absolute differences of neighbouring integers: (a_1,a_2,...,a_n)→(|a_1-a_2|,|a_2-a_3|,...,|a_n-a_1|),."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Ducci sequence"
}