"affine space" meaning in English

{
  "forms": [
    {
      "form": "affine spaces",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "affine space (plural affine spaces)",
      "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": "Mandarin terms with redundant transliterations",
          "parents": [
            "Terms with redundant transliterations",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "a vector space having no origin"
      ],
      "id": "en-affine_space-en-noun-Ro1N58Ia",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "vector space",
          "vector space"
        ],
        [
          "origin",
          "origin"
        ]
      ],
      "raw_glosses": [
        "(mathematics) a vector space having no origin"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "ca",
          "lang": "Catalan",
          "sense": "vector space having no origin",
          "tags": [
            "masculine"
          ],
          "word": "espai afí"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "sense": "vector space having no origin",
          "word": "仿射空間"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "fǎngshèkōngjiān",
          "sense": "vector space having no origin",
          "word": "仿射空间"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "vector space having no origin",
          "word": "affiini avaruus"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "vector space having no origin",
          "tags": [
            "masculine"
          ],
          "word": "affiner Raum"
        },
        {
          "code": "hu",
          "lang": "Hungarian",
          "sense": "vector space having no origin",
          "word": "affin tér"
        },
        {
          "code": "is",
          "lang": "Icelandic",
          "sense": "vector space having no origin",
          "tags": [
            "neuter"
          ],
          "word": "vildarrúm"
        },
        {
          "code": "ja",
          "lang": "Japanese",
          "sense": "vector space having no origin",
          "word": "アフィン空間"
        },
        {
          "code": "sv",
          "lang": "Swedish",
          "sense": "vector space having no origin",
          "tags": [
            "neuter"
          ],
          "word": "affint rum"
        }
      ],
      "wikipedia": [
        "affine space"
      ]
    }
  ],
  "word": "affine space"
}

{
  "forms": [
    {
      "form": "affine spaces",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "affine space (plural affine spaces)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Mandarin terms with redundant transliterations",
        "en:Mathematics"
      ],
      "glosses": [
        "a vector space having no origin"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "vector space",
          "vector space"
        ],
        [
          "origin",
          "origin"
        ]
      ],
      "raw_glosses": [
        "(mathematics) a vector space having no origin"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "affine space"
      ]
    }
  ],
  "translations": [
    {
      "code": "ca",
      "lang": "Catalan",
      "sense": "vector space having no origin",
      "tags": [
        "masculine"
      ],
      "word": "espai afí"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "vector space having no origin",
      "word": "仿射空間"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "fǎngshèkōngjiān",
      "sense": "vector space having no origin",
      "word": "仿射空间"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "vector space having no origin",
      "word": "affiini avaruus"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "vector space having no origin",
      "tags": [
        "masculine"
      ],
      "word": "affiner Raum"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "vector space having no origin",
      "word": "affin tér"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "vector space having no origin",
      "tags": [
        "neuter"
      ],
      "word": "vildarrúm"
    },
    {
      "code": "ja",
      "lang": "Japanese",
      "sense": "vector space having no origin",
      "word": "アフィン空間"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "vector space having no origin",
      "tags": [
        "neuter"
      ],
      "word": "affint rum"
    }
  ],
  "word": "affine space"
}