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正規直交基底 (せいきちょっこうきてい) Japanese meaning | Kotomora

正せい規き直ちょっ交こう基き底てい

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Meanings

1

noun

orthonormal basis

mathematics

A set of mutually orthogonal unit vectors that span a vector space. Used in mathematics, especially linear algebra and functional analysis.

正せい規き直ちょっ交こう基き底ていを用もちいると、ベクトルの成せい分ぶん計けい算さんが簡かん単たんになる。
Using an orthonormal basis simplifies the calculation of vector components.

量りょう子し力りき学がくでは、状じょう態たいを正せい規き直ちょっ交こう基き底ていで展てん開かいすることが多おおい。

In quantum mechanics, states are often expanded in an orthonormal basis.

Kanji

正correct, justice, righteous
規standard, measure
直straightaway, honesty, frankness
交mingle, mixing, association
基fundamentals, radical (chem), counter for machines
底bottom, sole, depth

Similar words

直ちょっ交こう基き底てい
直交基底 is an orthogonal basis where vectors are orthogonal but not necessarily normalized (unit length). 正規直交基底 adds normalization, so all basis vectors have length 1.
基き底てい
基底 is a general basis of a vector space, without requiring orthogonality or normalization.

Etymology

Compound of 正規 (normal, regular), 直交 (orthogonal), and 基底 (basis). A direct calque from English 'orthonormal basis'.