"biinvariant" meaning in All languages combined

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "bi",
        "3": "invariant"
      },
      "expansion": "bi- + invariant",
      "name": "prefix"
    }
  ],
  "etymology_text": "From bi- + invariant.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "biinvariant (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms prefixed with bi-",
          "parents": [],
          "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": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2015, Valera Berestovskii, Irina Zubareva, Victor Svirkin, “The spectrum of the Laplace operator on connected compact simple Lie groups of rank 3”, in arXiv:",
          "text": "In this paper we give explicit calculations of the Laplace operator's spectrum for smooth real or complex functions on all connected compact simple Lie groups of rank 3 with biinvariant Riemannian metric and establish a connection of these formulas with the number theory and ternary and binary quadratic forms..",
          "type": "quote"
        }
      ],
      "glosses": [
        "Both left-invariant and right-invariant."
      ],
      "id": "en-biinvariant-en-adj-6tn4jQ35",
      "links": [
        [
          "mathematics",
          "mathematics"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Both left-invariant and right-invariant."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "biinvariant"
}

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "bi",
        "3": "invariant"
      },
      "expansion": "bi- + invariant",
      "name": "prefix"
    }
  ],
  "etymology_text": "From bi- + invariant.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "biinvariant (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "English adjectives",
        "English entries with incorrect language header",
        "English lemmas",
        "English terms prefixed with bi-",
        "English terms with quotations",
        "English uncomparable adjectives",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2015, Valera Berestovskii, Irina Zubareva, Victor Svirkin, “The spectrum of the Laplace operator on connected compact simple Lie groups of rank 3”, in arXiv:",
          "text": "In this paper we give explicit calculations of the Laplace operator's spectrum for smooth real or complex functions on all connected compact simple Lie groups of rank 3 with biinvariant Riemannian metric and establish a connection of these formulas with the number theory and ternary and binary quadratic forms..",
          "type": "quote"
        }
      ],
      "glosses": [
        "Both left-invariant and right-invariant."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Both left-invariant and right-invariant."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "biinvariant"
}