Involution: meaning, definitions and examples
๐
involution
[ ษชnหvษljuหสษn ]
mathematics
In mathematics, involution refers to a function that, when applied twice, returns the original value. Essentially, if x is the input and f is the involution function, then f(f(x)) = x. Involutions can arise in various contexts, including algebra and geometry. They are notable because they often simplify complex problems by applying a reversible operation.
Synonyms
Examples of usage
- The function f(x) = -x is an involution since f(f(x)) = x.
- Involution is used in certain transformations in geometry.
- Some algorithmic processes rely on involutive functions for efficiency.
biological
In biology, involution can refer to the process by which an organ or part returns to a former size or condition. This often occurs after development or growth ceases, such as in the case of the uterus after childbirth. The term can also signify a reduction in growth or size in various biological structures. Understanding involution in biological terms is essential for studying developmental processes and reproductive health.
Synonyms
contraction, retraction, shrinkage
Examples of usage
- The uterus undergoes involution after the delivery of the baby.
- Involution of certain organs is a key aspect of the life cycle of some organisms.
- Research on tissue involution has implications for regenerative medicine.
Translations
Translations of the word "involution" in other languages:
๐ต๐น involuรงรฃo
๐ฎ๐ณ เคตเคฟเคฒเคฏ
๐ฉ๐ช Involution
๐ฎ๐ฉ involusi
๐บ๐ฆ ัะฝะฒะพะปัััั
๐ต๐ฑ inwolucja
๐ฏ๐ต ใคใณใใซใผใทใงใณ
๐ซ๐ท involution
๐ช๐ธ involuciรณn
๐น๐ท involรผsyon
๐ฐ๐ท ๋ดํฅ์ฑ
๐ธ๐ฆ ุงูุงูููุงุจ
๐จ๐ฟ involuce
๐ธ๐ฐ involรบcia
๐จ๐ณ ๅ ๅท
๐ธ๐ฎ involucija
๐ฎ๐ธ innskot
๐ฐ๐ฟ ะธะฝะฒะพะปััะธั
๐ฌ๐ช แแแแแแฃแชแแ
๐ฆ๐ฟ involusiya
๐ฒ๐ฝ involuciรณn
Etymology
The term 'involution' originates from the Latin word 'involutio', which means 'a winding in' or 'a rolling in'. This Latin term is derived from 'involvere', meaning 'to roll in'. The concept of involution has been utilized in various disciplines, from mathematics to biology. Involutions as mathematical functions have been studied since the early days of algebra, where they provided insights into the symmetry and properties of equations. The biological sense of involution dates back to the late 19th century when scientists began to describe the processes occurring in organisms during and after development. Over time, the term has evolved, encompassing diverse contexts while maintaining its core idea of returning to a previous state or condition.