"nontrivial solution" meaning in All languages combined

See nontrivial solution on Wiktionary

Noun [English]

Forms: nontrivial solutions [plural]
Etymology: From nontrivial + solution. Etymology templates: {{compound|en|nontrivial|solution}} nontrivial + solution Head templates: {{en-noun}} nontrivial solution (plural nontrivial solutions)
  1. (linear algebra) any other answers apart from ⃑x=⃑0 to the linear system A⃑x=⃑0, signifying linear dependence of the linear system Categories (topical): Linear algebra
    Sense id: en-nontrivial_solution-en-noun-M5CG~f8c Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: linear-algebra, mathematics, sciences

Inflected forms

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "nontrivial",
        "3": "solution"
      },
      "expansion": "nontrivial + solution",
      "name": "compound"
    }
  ],
  "etymology_text": "From nontrivial + solution.",
  "forms": [
    {
      "form": "nontrivial solutions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "nontrivial solution (plural nontrivial solutions)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "antonyms": [
        {
          "word": "trivial solution"
        }
      ],
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Linear algebra",
          "orig": "en:Linear algebra",
          "parents": [
            "Algebra",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "any other answers apart from ⃑x=⃑0 to the linear system A⃑x=⃑0, signifying linear dependence of the linear system"
      ],
      "id": "en-nontrivial_solution-en-noun-M5CG~f8c",
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "answer",
          "answer"
        ],
        [
          "linear system",
          "linear system"
        ],
        [
          "linear dependence",
          "linear dependence"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) any other answers apart from ⃑x=⃑0 to the linear system A⃑x=⃑0, signifying linear dependence of the linear system"
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "nontrivial solution"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "nontrivial",
        "3": "solution"
      },
      "expansion": "nontrivial + solution",
      "name": "compound"
    }
  ],
  "etymology_text": "From nontrivial + solution.",
  "forms": [
    {
      "form": "nontrivial solutions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "nontrivial solution (plural nontrivial solutions)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "antonyms": [
        {
          "word": "trivial solution"
        }
      ],
      "categories": [
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        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Linear algebra"
      ],
      "glosses": [
        "any other answers apart from ⃑x=⃑0 to the linear system A⃑x=⃑0, signifying linear dependence of the linear system"
      ],
      "links": [
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          "linear algebra",
          "linear algebra"
        ],
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        ],
        [
          "linear system",
          "linear system"
        ],
        [
          "linear dependence",
          "linear dependence"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) any other answers apart from ⃑x=⃑0 to the linear system A⃑x=⃑0, signifying linear dependence of the linear system"
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "nontrivial solution"
}

Download raw JSONL data for nontrivial solution meaning in All languages combined (1.2kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-15 from the enwiktionary dump dated 2024-12-04 using wiktextract (8a39820 and 4401a4c). 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.