"Hadamard transform" meaning in English

{
  "etymology_text": "Named for the French mathematician Jacques Hadamard.",
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      "form": "Hadamard transforms",
      "tags": [
        "plural"
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      "expansion": "Hadamard transform (plural Hadamard transforms)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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          "langcode": "en",
          "name": "Signal processing",
          "orig": "en:Signal processing",
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      ],
      "derived": [
        {
          "word": "pseudo-Hadamard transform"
        }
      ],
      "glosses": [
        "A generalized Fourier transform that performs an orthogonal, symmetric, involutive, linear operation on 2ᵐ real numbers (or complex numbers, although the Hadamard matrices themselves are purely real)."
      ],
      "id": "en-Hadamard_transform-en-noun-mV6Z2py9",
      "links": [
        [
          "generalized",
          "generalized"
        ],
        [
          "Fourier transform",
          "Fourier transform"
        ],
        [
          "orthogonal",
          "orthogonal"
        ],
        [
          "symmetric",
          "symmetric"
        ],
        [
          "involutive",
          "involutive"
        ],
        [
          "linear",
          "linear"
        ],
        [
          "operation",
          "operation"
        ],
        [
          "real number",
          "real number"
        ],
        [
          "complex number",
          "complex number"
        ]
      ],
      "raw_glosses": [
        "(signal processing) A generalized Fourier transform that performs an orthogonal, symmetric, involutive, linear operation on 2ᵐ real numbers (or complex numbers, although the Hadamard matrices themselves are purely real)."
      ],
      "synonyms": [
        {
          "word": "Walsh transform"
        }
      ],
      "topics": [
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences",
        "signal-processing"
      ],
      "wikipedia": [
        "Hadamard transform"
      ]
    }
  ],
  "word": "Hadamard transform"
}

{
  "derived": [
    {
      "word": "pseudo-Hadamard transform"
    }
  ],
  "etymology_text": "Named for the French mathematician Jacques Hadamard.",
  "forms": [
    {
      "form": "Hadamard transforms",
      "tags": [
        "plural"
      ]
    }
  ],
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  "lang_code": "en",
  "pos": "noun",
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      "glosses": [
        "A generalized Fourier transform that performs an orthogonal, symmetric, involutive, linear operation on 2ᵐ real numbers (or complex numbers, although the Hadamard matrices themselves are purely real)."
      ],
      "links": [
        [
          "generalized",
          "generalized"
        ],
        [
          "Fourier transform",
          "Fourier transform"
        ],
        [
          "orthogonal",
          "orthogonal"
        ],
        [
          "symmetric",
          "symmetric"
        ],
        [
          "involutive",
          "involutive"
        ],
        [
          "linear",
          "linear"
        ],
        [
          "operation",
          "operation"
        ],
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          "real number",
          "real number"
        ],
        [
          "complex number",
          "complex number"
        ]
      ],
      "raw_glosses": [
        "(signal processing) A generalized Fourier transform that performs an orthogonal, symmetric, involutive, linear operation on 2ᵐ real numbers (or complex numbers, although the Hadamard matrices themselves are purely real)."
      ],
      "synonyms": [
        {
          "word": "Walsh transform"
        }
      ],
      "topics": [
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences",
        "signal-processing"
      ],
      "wikipedia": [
        "Hadamard transform"
      ]
    }
  ],
  "word": "Hadamard transform"
}