"diagonalize" meaning in English

{
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    {
      "_dis1": "0 0",
      "word": "diagonalizability"
    },
    {
      "_dis1": "0 0",
      "word": "diagonalizable"
    },
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      "_dis1": "0 0",
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    },
    {
      "_dis1": "0 0",
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      "expansion": "Etymology tree\nEnglish diagonal\nProto-Indo-European *-id-\nProto-Indo-European *-yéti\nProto-Indo-European *-idyéti\nProto-Hellenic *-íďďō\nAncient Greek -ῐ́ζω (-ĭ́zō)bor.\nLate Latin -izōder.\nMiddle French -iserbor.\nMiddle English -isen\nEnglish -ize\nEnglish diagonalize\n[Appendix:Glossary#loanword|Borrowed]] from\", \"terms\" : [ { \"children\" : [ { \"keyword_abbrev\" : \"der.\", \"keyword_label\" : \"Derived from\", \"terms\" : [ { \"children\" : [ { \"keyword_abbrev\" : \"bor.\", \"keyword_label\" : \"Borrowed from\", \"terms\" : [ { \"id\" : \"verbal\", \"children\" : [ { \"terms\" : [ { \"children\" : [ { \"terms\" : [ { \"children\" : [ { \"terms\" : [ { \"children\" : [ ], \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*-id-\", \"status\" : \"missing\", \"lang\" : \"ine-pro\" }, { \"children\" : [ ], \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*-yéti\", \"status\" : \"ok\", \"lang\" : \"ine-pro\" } ], \"keyword_label\" : \"From\", \"is_group\" : true, \"keyword\" : \"affix\" } ], \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*-idyéti\", \"status\" : \"inline\", \"lang\" : \"ine-pro\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"lang_name\" : \"Proto-Hellenic\", \"term\" : \"*-íďďō\", \"status\" : \"inline\", \"lang\" : \"grk-pro\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"status\" : \"ok\", \"lang_name\" : \"Ancient Greek\", \"term\" : \"-ῐ́ζω\", \"lang\" : \"grc\" } ], \"keyword\" : \"bor\" } ], \"lang_name\" : \"Late Latin\", \"term\" : \"-izō\", \"status\" : \"ok\", \"lang\" : \"la-lat\" } ], \"keyword\" : \"derived\" } ], \"lang_name\" : \"Middle French\", \"term\" : \"-iser\", \"status\" : \"inline\", \"lang\" : \"frm\" } ], \"keyword\" : \"bor\" } ], \"lang_name\" : \"Middle English\", \"term\" : \"-isen\", \"status\" : \"inline\", \"lang\" : \"enm\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"lang_name\" : \"English\", \"term\" : \"-ize\", \"status\" : \"ok\", \"lang\" : \"en\" } ], \"keyword_label\" : \"From\", \"is_group\" : true, \"keyword\" : \"affix\" } ], \"lang_name\" : \"English\", \"term\" : \"diagonalize\", \"status\" : \"ok\", \"lang\" : \"en\" }\" data-lang=\"en\" data-title=\"diagonalize\">\nFrom diagonal + -ize.",
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  "etymology_text": "Etymology tree\nEnglish diagonal\nProto-Indo-European *-id-\nProto-Indo-European *-yéti\nProto-Indo-European *-idyéti\nProto-Hellenic *-íďďō\nAncient Greek -ῐ́ζω (-ĭ́zō)bor.\nLate Latin -izōder.\nMiddle French -iserbor.\nMiddle English -isen\nEnglish -ize\nEnglish diagonalize\nFrom diagonal + -ize.",
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    {
      "form": "diagonalized",
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  "lang": "English",
  "lang_code": "en",
  "pos": "verb",
  "related": [
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      "_dis1": "0 0",
      "word": "diagonalizer"
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      ],
      "glosses": [
        "To convert a square matrix into a diagonal matrix by multiplying it by a second matrix and its inverse."
      ],
      "id": "en-diagonalize-en-verb-6AxjY6FW",
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          "mathematics"
        ],
        [
          "square matrix",
          "square matrix"
        ],
        [
          "diagonal matrix",
          "diagonal matrix"
        ],
        [
          "matrix",
          "matrix"
        ],
        [
          "inverse",
          "inverse"
        ]
      ],
      "raw_glosses": [
        "(mathematics, transitive) To convert a square matrix into a diagonal matrix by multiplying it by a second matrix and its inverse."
      ],
      "tags": [
        "transitive"
      ],
      "topics": [
        "mathematics",
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      "translations": [
        {
          "_dis1": "100 0",
          "code": "nl",
          "lang": "Dutch",
          "lang_code": "nl",
          "sense": "convert square matrix into diagonal matrix",
          "word": "diagonaliseren"
        },
        {
          "_dis1": "100 0",
          "code": "la",
          "lang": "Latin",
          "lang_code": "la",
          "sense": "convert square matrix into diagonal matrix",
          "word": "diagōnālizō"
        },
        {
          "_dis1": "100 0",
          "code": "es",
          "lang": "Spanish",
          "lang_code": "es",
          "sense": "convert square matrix into diagonal matrix",
          "word": "diagonalizar"
        }
      ]
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          "ref": "2017, Andrew Pickering, “Ross Ashby”, in The Cybernetic Brain, University of Chicago Press, published 2010, →ISBN, page 159:",
          "text": "And what we should do, therefore, is to diagonalize the variables—we should find some new design variables such that design problems only bear upon subsets of them that are loosely coupled to others, like the subsystems of ten lights in the example.",
          "type": "quotation"
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      ],
      "glosses": [
        "To design variables such that design problems only bear upon subsets that are loosely coupled to others."
      ],
      "id": "en-diagonalize-en-verb-djet5A~m",
      "links": [
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          "cybernetics"
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          "design"
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      "raw_glosses": [
        "(cybernetics) To design variables such that design problems only bear upon subsets that are loosely coupled to others."
      ]
    }
  ],
  "word": "diagonalize"
}

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  "derived": [
    {
      "word": "diagonalizability"
    },
    {
      "word": "diagonalizable"
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    {
      "word": "diagonalization"
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    {
      "word": "rediagonalize"
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  "etymology_text": "Etymology tree\nEnglish diagonal\nProto-Indo-European *-id-\nProto-Indo-European *-yéti\nProto-Indo-European *-idyéti\nProto-Hellenic *-íďďō\nAncient Greek -ῐ́ζω (-ĭ́zō)bor.\nLate Latin -izōder.\nMiddle French -iserbor.\nMiddle English -isen\nEnglish -ize\nEnglish diagonalize\nFrom diagonal + -ize.",
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    {
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      "form": "diagonalise",
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  "lang": "English",
  "lang_code": "en",
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      "word": "diagonalizer"
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  "senses": [
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        "en:Mathematics"
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      "glosses": [
        "To convert a square matrix into a diagonal matrix by multiplying it by a second matrix and its inverse."
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          "inverse",
          "inverse"
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      "raw_glosses": [
        "(mathematics, transitive) To convert a square matrix into a diagonal matrix by multiplying it by a second matrix and its inverse."
      ],
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        "transitive"
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          "text": "And what we should do, therefore, is to diagonalize the variables—we should find some new design variables such that design problems only bear upon subsets of them that are loosely coupled to others, like the subsystems of ten lights in the example.",
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        "To design variables such that design problems only bear upon subsets that are loosely coupled to others."
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        "(cybernetics) To design variables such that design problems only bear upon subsets that are loosely coupled to others."
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  "translations": [
    {
      "code": "nl",
      "lang": "Dutch",
      "lang_code": "nl",
      "sense": "convert square matrix into diagonal matrix",
      "word": "diagonaliseren"
    },
    {
      "code": "la",
      "lang": "Latin",
      "lang_code": "la",
      "sense": "convert square matrix into diagonal matrix",
      "word": "diagōnālizō"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "lang_code": "es",
      "sense": "convert square matrix into diagonal matrix",
      "word": "diagonalizar"
    }
  ],
  "word": "diagonalize"
}