"polar cone" meaning in All languages combined

{
  "forms": [
    {
      "form": "polar cones",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "polar cone (plural polar cones)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "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"
        }
      ],
      "examples": [
        {
          "text": "Since a is in S and b is in Sᵒ — the polar cone of S — we know that aᵀ b ≤ 0."
        }
      ],
      "glosses": [
        "Relative to a set S in Rⁿ, the set of points y such that the inner product of x and y is not positive for any point x in S."
      ],
      "id": "en-polar_cone-en-noun-k0eq74W3",
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) Relative to a set S in Rⁿ, the set of points y such that the inner product of x and y is not positive for any point x in S."
      ],
      "related": [
        {
          "sense": "set of points",
          "word": "dual cone"
        }
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "polar cone"
}

{
  "forms": [
    {
      "form": "polar cones",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "polar cone (plural polar cones)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "sense": "set of points",
      "word": "dual cone"
    }
  ],
  "senses": [
    {
      "categories": [
        "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"
      ],
      "examples": [
        {
          "text": "Since a is in S and b is in Sᵒ — the polar cone of S — we know that aᵀ b ≤ 0."
        }
      ],
      "glosses": [
        "Relative to a set S in Rⁿ, the set of points y such that the inner product of x and y is not positive for any point x in S."
      ],
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) Relative to a set S in Rⁿ, the set of points y such that the inner product of x and y is not positive for any point x in S."
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "polar cone"
}