"complex plane" meaning in English

{
  "forms": [
    {
      "form": "complex planes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "complex plane (plural complex planes)",
      "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"
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          "source": "w"
        },
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          "kind": "other",
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          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Japanese translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Surfaces",
          "orig": "en:Surfaces",
          "parents": [
            "Shapes",
            "Geometry",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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        }
      ],
      "glosses": [
        "a representation of the space of complex numbers"
      ],
      "id": "en-complex_plane-en-noun-H3sX53YX",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "representation",
          "representation"
        ],
        [
          "space",
          "space"
        ],
        [
          "complex number",
          "complex number"
        ]
      ],
      "raw_glosses": [
        "(mathematics) a representation of the space of complex numbers"
      ],
      "related": [
        {
          "word": "real plane"
        },
        {
          "word": "Argand diagram"
        }
      ],
      "synonyms": [
        {
          "word": "Argand plane"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "Translations",
          "word": "kompleksitaso"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "Translations",
          "tags": [
            "masculine"
          ],
          "word": "plan complexe"
        },
        {
          "code": "ja",
          "lang": "Japanese",
          "roman": "fukusoheimen",
          "sense": "Translations",
          "word": "複素平面"
        }
      ],
      "wikipedia": [
        "complex plane"
      ]
    }
  ],
  "word": "complex plane"
}

{
  "forms": [
    {
      "form": "complex planes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "complex plane (plural complex planes)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "real plane"
    },
    {
      "word": "Argand diagram"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
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        "en:Surfaces"
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      "glosses": [
        "a representation of the space of complex numbers"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "representation",
          "representation"
        ],
        [
          "space",
          "space"
        ],
        [
          "complex number",
          "complex number"
        ]
      ],
      "raw_glosses": [
        "(mathematics) a representation of the space of complex numbers"
      ],
      "topics": [
        "mathematics",
        "sciences"
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      "wikipedia": [
        "complex plane"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "Argand plane"
    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "Translations",
      "word": "kompleksitaso"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "Translations",
      "tags": [
        "masculine"
      ],
      "word": "plan complexe"
    },
    {
      "code": "ja",
      "lang": "Japanese",
      "roman": "fukusoheimen",
      "sense": "Translations",
      "word": "複素平面"
    }
  ],
  "word": "complex plane"
}