"semiorthogonal" meaning in English

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  "etymology_text": "semi- + orthogonal",
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  "lang_code": "en",
  "pos": "adj",
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          "ref": "2015, Asher Auel, Marcello Bernardara, “Semiorthogonal decompositions and birational geometry of del Pezzo surfaces over arbitrary fields”, in arXiv",
          "text": "For del Pezzo surfaces of degree at least 5, we construct explicit semiorthogonal decompositions by subcategories of modules over semisimple algebras arising as endomorphism algebras of vector bundles and we show how to retrieve information about the index of the surface from Brauer classes and Chern classes associated to these vector bundles..",
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        "Having the property that every subcategory is in the set of orthogonal subcategories of every higher order subcategory."
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      "raw_glosses": [
        "(mathematics, category theory) Having the property that every subcategory is in the set of orthogonal subcategories of every higher order subcategory."
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        "not-comparable"
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      "glosses": [
        "Either columnwise orthogonal (having the property that M'M is an identity matrix) or rowwise orthogonal (having the property that MM' is an identity matrix)."
      ],
      "id": "en-semiorthogonal-en-adj-rHMJV182",
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          "columnwise",
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          "orthogonal",
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      "qualifier": "matrix algebra",
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        "(mathematics, matrix algebra) Either columnwise orthogonal (having the property that M'M is an identity matrix) or rowwise orthogonal (having the property that MM' is an identity matrix)."
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      ],
      "glosses": [
        "Orthogonal to the corresponding approximation space."
      ],
      "id": "en-semiorthogonal-en-adj-dzX-V6cO",
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          "physics"
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      "raw_glosses": [
        "(physics) Orthogonal to the corresponding approximation space."
      ],
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  "word": "semiorthogonal"
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  "etymology_text": "semi- + orthogonal",
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        "(mathematics, category theory) Having the property that every subcategory is in the set of orthogonal subcategories of every higher order subcategory."
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        "(mathematics, matrix algebra) Either columnwise orthogonal (having the property that M'M is an identity matrix) or rowwise orthogonal (having the property that MM' is an identity matrix)."
      ],
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        "not-comparable"
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        "Orthogonal to the corresponding approximation space."
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        "(physics) Orthogonal to the corresponding approximation space."
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