"nontrivial solution" meaning in All languages combined

{
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    {
      "args": {
        "1": "en",
        "2": "nontrivial",
        "3": "solution"
      },
      "expansion": "nontrivial + solution",
      "name": "compound"
    }
  ],
  "etymology_text": "nontrivial + solution",
  "forms": [
    {
      "form": "nontrivial solutions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "nontrivial solution (plural nontrivial solutions)",
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  "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"
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Linear algebra",
          "orig": "en:Linear algebra",
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            "Algebra",
            "Mathematics",
            "Formal sciences",
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        }
      ],
      "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",
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        ],
        [
          "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",
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    }
  ],
  "etymology_text": "nontrivial + solution",
  "forms": [
    {
      "form": "nontrivial solutions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "nontrivial solution (plural nontrivial solutions)",
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "antonyms": [
        {
          "word": "trivial solution"
        }
      ],
      "categories": [
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        "English countable nouns",
        "English entries with incorrect language header",
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        "English multiword terms",
        "English nouns",
        "en:Linear algebra"
      ],
      "glosses": [
        "any other answers apart from ⃑x=⃑0 to the linear system A⃑x=⃑0, signifying linear dependence of the linear system"
      ],
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          "linear algebra",
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      ],
      "raw_glosses": [
        "(linear algebra) any other answers apart from ⃑x=⃑0 to the linear system A⃑x=⃑0, signifying linear dependence of the linear system"
      ],
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        "linear-algebra",
        "mathematics",
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  "word": "nontrivial solution"
}