noun
orthonormal system
A set of vectors that are mutually orthogonal and each of unit length. Used in linear algebra and functional analysis.
正規直交系は、ベクトル空間の基底としてよく用いられる。
An orthonormal system is often used as a basis for a vector space.
直交系 is an orthogonal system where vectors are mutually orthogonal but not necessarily normalized. 正規直交系 adds normalization (unit length).
Compound of 正規 (normalized) + 直交 (orthogonal) + 系 (system). A direct translation of the English mathematical term 'orthonormal system'.