Orthogonality: meaning, definitions and examples
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orthogonality
[ ˌɔːrˌθɑːˈɡɑːnəti ]
mathematics
The property of being orthogonal, where two vectors are perpendicular to each other.
Synonyms
perpendicularity, right angles
Examples of usage
- The concept of orthogonality is fundamental in linear algebra.
- In a Cartesian coordinate system, the x-axis and y-axis are orthogonal to each other.
electronics
The property of signals or components being independent or unrelated.
Synonyms
Examples of usage
- In signal processing, orthogonality is used to ensure minimal interference between different channels.
- Orthogonality is essential in antenna design to prevent signal distortion.
philosophy
The idea of mutually exclusive or independent concepts or principles.
Synonyms
independence, mutual exclusivity
Examples of usage
- The philosopher discussed the orthogonality of morality and self-interest.
- The concept of orthogonality can be applied to various philosophical debates.
Translations
Translations of the word "orthogonality" in other languages:
🇵🇹 ortogonalidade
🇮🇳 लंबकोणीयता
🇩🇪 Orthogonalität
🇮🇩 ortogonalitas
🇺🇦 ортогональність
🇵🇱 ortogonalność
🇯🇵 直交性 (ちょっこうせい)
🇫🇷 orthogonalité
🇪🇸 ortogonalidad
🇹🇷 diklik
🇰🇷 직교성
🇸🇦 تعامدية
🇨🇿 ortogonalita
🇸🇰 ortogonalita
🇨🇳 正交性 (zhèngjiāo xìng)
🇸🇮 ortogonalnost
🇮🇸 hornrétt
🇰🇿 ортогоналдылық
🇬🇪 ორთოგონალობა
🇦🇿 ortogonalıq
🇲🇽 ortogonalidad
Word origin
The word 'orthogonality' originated from the Greek word 'orthogōnios', meaning 'right-angled'. It was first used in mathematics to describe the relationship between perpendicular vectors. Over time, the concept of orthogonality expanded to various fields like electronics and philosophy, where it signifies independence, mutual exclusivity, or perpendicularity. The term has become a fundamental concept in different disciplines, emphasizing the importance of distinct and unrelated elements.
See also: orthogonal, orthogonally.