orthogonalization

1 9.9

A process that makes vectors or functions independent of each other

noun
/ɔrˌθɒɡənaɪˈzeɪʃən/

Specialized

: ortogonalización

In quantum mechanics, orthogonalization of wavefunctions ensures that no two functions interfere with each other.

So Gram Schmidt orthogonalization, as you should remember from lecture, consists in the following.

Examples

So Gram Schmidt orthogonalization, as you should remember from lecture, consists in the following.

MIT OpenCourseWare
The process of orthogonalization in linear algebra helps create independent vectors for clearer analysis.
Each model includes all macroeconomic variables from the orthogonalization step as a control set.

Academic text (2016)
So Gram Schmidt orthogonalization, as you should remember from lecture, consists in the following.

MIT OpenCourseWare
Using the Gram-Schmidt… Orthogonalization algorithm.

Hidden Figures (2016)
Furthermore, the individual wavefunctions must be orthogonal to each other, and the process of orthogonalization or diagonalization scales as O(N^3).

Academic text (1999)
Using orthogonalization techniques, engineers can simplify complex systems by ensuring that each component operates independently.

Surface Forms

orthogonalization singular

orthogonalizations plural

Morphology

orthogonalization = orthogonalize (transparent) = orthogonal + ize + ation

Formed by a standard verb-to-noun nominalization (orthogonal -> orthogonalize -> orthogonalization) denoting the process of making something orthogonal; the derivation is regular though the term is technical.

Etymology

Orthogonalization comes from Greek parts ortho- ('straight' or 'correct') and -gonal ('angle'), the same idea you see in words like polygon and hexagon. So orthogonalization is the 'process' of making things meet at 'right angles' or become independent in math and engineering.