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to dualize

to dualize

1 9.9
To change a structure in math into a related one that swaps parts to study it differently
  • verb
  • /ˈdjuːəˌlaɪz/
  • Specialized
: dualizar
  • So one can also dualize realized N form.

Examples

  • In advanced mathematics, one often needs to dualize a vector space to explore its properties.

  • Mathematicians frequently dualize linear programs to gain insight into their solutions.

  • To better understand the relationships between categories, we can dualize the existing structures.

Surface Forms

dualize infinitive
dualized past
dualized past participle
dualizing present participle
dualizes third person singular

Morphology

dualize = dual (transparent) = dual + ize

Formed by adding the productive verb-forming suffix '-ize' to 'dual'; the meaning 'make or form the dual' is directly derivable.

Etymology

Dualize comes from dual, which goes back to Latin duo meaning 'two'. In mathematics, to dualize is to make the 'other' or paired version of a structure so you can study the same idea from a different side.