"transpose conjugate" meaning in English

{
  "forms": [
    {
      "form": "transpose conjugates",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "transpose conjugate (plural transpose conjugates)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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          "source": "w"
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          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
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          "source": "w"
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      "examples": [
        {
          "ref": "2006, David Andrews, Lumped Element Quadrature Hybrids, page 22",
          "text": "Further constraints upon the four-port are discovered when the elements equating to zero in the product of the unitary S-matrix with its transpose conjugate are considered.",
          "type": "quotation"
        },
        {
          "ref": "2012, Steven B. Damelin, Willard Miller, Jr., The Mathematics of Signal Processing, page 299",
          "text": "In that case the inverse of the matrix is just the transpose conjugate and solving for the original signal x from the truncated outputs {y⁽⁰⁾(2n)},{y⁽¹⁾(2n)} is simple.",
          "type": "quotation"
        },
        {
          "ref": "2012, Dennis M. Sullivan, Quantum Mechanics for Electrical Engineers, page 85",
          "text": "Throughout this text, the transpose conjugate of a matrix or vector is given by A⁺ or b⁺, respectively.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Synonym of conjugate transpose"
      ],
      "id": "en-transpose_conjugate-en-noun-QbluWllA",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "conjugate transpose",
          "conjugate transpose#English"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Synonym of conjugate transpose"
      ],
      "synonyms": [
        {
          "tags": [
            "synonym",
            "synonym-of"
          ],
          "word": "conjugate transpose"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "transpose conjugate"
}

{
  "forms": [
    {
      "form": "transpose conjugates",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "transpose conjugate (plural transpose conjugates)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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      "examples": [
        {
          "ref": "2006, David Andrews, Lumped Element Quadrature Hybrids, page 22",
          "text": "Further constraints upon the four-port are discovered when the elements equating to zero in the product of the unitary S-matrix with its transpose conjugate are considered.",
          "type": "quotation"
        },
        {
          "ref": "2012, Steven B. Damelin, Willard Miller, Jr., The Mathematics of Signal Processing, page 299",
          "text": "In that case the inverse of the matrix is just the transpose conjugate and solving for the original signal x from the truncated outputs {y⁽⁰⁾(2n)},{y⁽¹⁾(2n)} is simple.",
          "type": "quotation"
        },
        {
          "ref": "2012, Dennis M. Sullivan, Quantum Mechanics for Electrical Engineers, page 85",
          "text": "Throughout this text, the transpose conjugate of a matrix or vector is given by A⁺ or b⁺, respectively.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Synonym of conjugate transpose"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "conjugate transpose",
          "conjugate transpose#English"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Synonym of conjugate transpose"
      ],
      "synonyms": [
        {
          "tags": [
            "synonym",
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          "word": "conjugate transpose"
        }
      ],
      "topics": [
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        "sciences"
      ]
    }
  ],
  "word": "transpose conjugate"
}