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Glite Dictionary
🔀 To separate parts 📐 To make perpendicular
to orthogonalize

to orthogonalize

9.9
Make vectors or functions at right angles to each other
  • verb
  • /ɔrˈθɒɡənəˌlaɪz/
  • Specialized
translation icon : ortogonalizar
  • In linear algebra, we often orthogonalize vectors to simplify calculations.

Examples

  • First, they can easily be orthogonalized with respect to one another, allowing us to interpret the individual contributions of each polynomial without the issue of collinearity.

    Academic text (2018)

  • Anyway, whatever the the Gram Schmidt idea is just orthogonalized in the natural way.

  • You, you, this, you orthogonalize, you orthogonalize.

  • To perform Fourier analysis, we need to orthogonalize the basis functions first.

  • Before applying the method, it is crucial to orthogonalize the data set to improve accuracy.

Surface Forms

orthogonalize infinitive
orthogonalized past
orthogonalized past participle
orthogonalizing present participle
orthogonalizes third person singular

Morphology

orthogonalize = orthogonal (transparent) = orthogonal + ize

Clear morphological formation from 'orthogonal' + '-ize' with the direct mathematical meaning 'make perpendicular'.

Etymology

Orthogonalize comes from the parts ortho- meaning 'straight' and -gonal meaning 'angle'. In math, to orthogonalize vectors is to make them meet at a 'right angle', so they point in independent directions and do not interfere with each other.