🇰🇷Korean Source WordCode: KO

정규 직교

Pronunciation / Transliteration: Jeong-gyu jik-gyo

🇬🇧 Direct English Meaning:
Orthonormal/ˌɔːrθoʊˈnɔːrməl/
adjectiveCEFR C1 (Advanced)Top #15000 frequency
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🇰🇷 Example Sentence in Korean:

"정규 직교 벡터 집합은 선형 대수에서 필수적입니다."

Comprehensive Definitions & Senses

2 senses
As adjective
  1. 1

    Referring to a set of vectors that are mutually orthogonal and each of unit length.

    "In quantum mechanics, the state vectors must form an orthonormal basis to ensure proper probability calculations."
  2. 2

    Describing a coordinate system where the axes are orthogonal and each axis is of unit length.

    "The orthonormal coordinate system simplifies the calculations in three-dimensional space."

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Antonyms & Contrasting Words (1)

Linguistic Origin & Historical Etymology

The term 'orthonormal' is derived from the combination of the Greek prefix 'ortho-', meaning 'correct' or 'right', and the Latin 'normalis', meaning 'normal'. It emerged in the context of linear algebra and functional analysis in the 20th century, reflecting the properties of vectors that are both orthogonal and of unit length.

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