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Dictionary

Words, grammatical forms and meanings linked to the ontology.

diagonalize en · VERB

Etymology

Etymology tree English diagonal Proto-Indo-European *-id- Proto-Indo-European *-yéti Proto-Indo-European *-idyéti Proto-Hellenic *-íd͏̌d͏̌ō Ancient Greek -ῐ́ζω (-ĭ́zō)bor. Late Latin -izōder. Middle French -iserbor. Middle English -isen English -ize English diagonalize From diagonal + -ize.

Meanings

  1. (transitive) To convert a square matrix into a diagonal matrix by multiplying it by a second matrix and its inverse.
  2. (qualifier:cybernetics) To design variables such that design problems only bear upon subsets that are loosely coupled to others.
    • 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. 2017, Andrew Pickering, “Ross Ashby”, in The Cybernetic Brain, University of Chicago Press, published 2010, →ISBN, page 159:

Forms

SpellingFeaturesLabelsSource
diagonalized Tense=Past, VerbForm=Part lexicographic
diagonalized Tense=Past lexicographic
diagonalizing Tense=Pres, VerbForm=Part lexicographic
diagonalise alternative lexicographic
diagonalizes Number=Sing, Person=3, Tense=Pres lexicographic

Deriveds

diagonalizable · diagonalization · diagonalizability · rediagonalize

Relateds

diagonalizer

Translations (4)

he לִכְסֵן (convert square matrix into diagonal matrix) · la diagōnālizō (convert square matrix into diagonal matrix) · es diagonalizar (convert square matrix into diagonal matrix) · nl diagonaliseren (convert square matrix into diagonal matrix)