Invariance: meaning, definitions and examples
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invariance
[ ɪnˈvɛərɪəns ]
mathematics
The property of remaining unchanged under a set of transformations or operations.
Synonyms
constancy, stability, unchangeability
Examples of usage
- The concept of invariance is fundamental in the field of mathematics.
- Invariance allows us to study the properties of objects that do not change under certain conditions.
physics
A quantity that does not change when a particular transformation is applied.
Synonyms
conservation, preservation, rigidity
Examples of usage
- In physics, certain laws exhibit invariance under different conditions.
- The principle of invariance plays a crucial role in understanding the behavior of physical systems.
Translations
Translations of the word "invariance" in other languages:
🇵🇹 invariância
🇮🇳 अपरिवर्तनीयता
🇩🇪 Invarianz
🇮🇩 ketidakvariasian
🇺🇦 незмінність
🇵🇱 niezmienność
🇯🇵 不変性 (ふへんせい)
🇫🇷 invariance
🇪🇸 invariancia
🇹🇷 değişmezlik
🇰🇷 불변성 (bulbyeonseong)
🇸🇦 ثبات
🇨🇿 neměnnost
🇸🇰 nemennosť
🇨🇳 不变性 (búbiànxìng)
🇸🇮 nespremenljivost
🇮🇸 óbreytanleiki
🇰🇿 өзгермейтіндік
🇬🇪 უცვლელობა
🇦🇿 dəyişməzlik
🇲🇽 invariancia
Word origin
The term 'invariance' originated from the Latin word 'invarians', which means 'not changing'. It first appeared in the field of mathematics during the 19th century, where it was used to describe properties that remain unchanged under certain transformations. The concept of invariance later expanded to other disciplines such as physics, where it became essential in understanding the conservation of quantities. Today, invariance is a key concept in various scientific fields, guiding researchers in uncovering fundamental principles and laws of nature.