"線形性" meaning in All languages combined

{
  "categories": [
    {
      "kind": "other",
      "name": "日本語",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "日本語 名詞",
      "parents": [],
      "source": "w"
    }
  ],
  "forms": [
    {
      "form": "せんけいせい"
    }
  ],
  "lang": "日本語",
  "lang_code": "ja",
  "pos": "noun",
  "pos_title": "名詞",
  "related": [
    {
      "word": "線型写像"
    },
    {
      "word": "双線型性"
    },
    {
      "word": "重線形性"
    }
  ],
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "日本語 線型代数学",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "ある操作fを行うとき、和・差・定数倍をとる操作はfとの順番に関わらず結果が一致する、という性質。極限・微分・積分・総和・期待値・内積・転置などで成り立つ。"
      ],
      "id": "ja-線形性-ja-noun-CQpckwMj",
      "topics": [
        "linear algebra"
      ]
    },
    {
      "glosses": [
        "（微分方程式論）微分方程式が線形代数学の範疇で解を探せるならば、その微分方程式は線形性を持つ、という。"
      ],
      "id": "ja-線形性-ja-noun-2X5ZhGHh"
    }
  ],
  "word": "線形性"
}

{
  "categories": [
    "日本語",
    "日本語 名詞"
  ],
  "forms": [
    {
      "form": "せんけいせい"
    }
  ],
  "lang": "日本語",
  "lang_code": "ja",
  "pos": "noun",
  "pos_title": "名詞",
  "related": [
    {
      "word": "線型写像"
    },
    {
      "word": "双線型性"
    },
    {
      "word": "重線形性"
    }
  ],
  "senses": [
    {
      "categories": [
        "日本語 線型代数学"
      ],
      "glosses": [
        "ある操作fを行うとき、和・差・定数倍をとる操作はfとの順番に関わらず結果が一致する、という性質。極限・微分・積分・総和・期待値・内積・転置などで成り立つ。"
      ],
      "topics": [
        "linear algebra"
      ]
    },
    {
      "glosses": [
        "（微分方程式論）微分方程式が線形代数学の範疇で解を探せるならば、その微分方程式は線形性を持つ、という。"
      ]
    }
  ],
  "word": "線形性"
}