involution

Meanings

• Noun

  The act of inverting or turning inward, especially as a psychological or biological process.

  - "The involution of a caterpillar into a butterfly is a beautiful example of nature's process."
  - "The psychological involution of an abused child can lead to long-term emotional damage."

• Noun

  In mathematics, an involution is a function that maps a set to itself and satisfies the property that applying the function twice results in the original element.

  - "The function f(x) = x² is an involution since f(f(x)) = x for all x in R."
  - "The involution in group theory plays a crucial role in the study of symmetry."

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Rhymes

Words rhyming with involution
revolution , evolution , resolution

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Variants

List of all variants of involution that leads to same result
involution , involutional , involutions , exponentiation , exponentiations

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Etymology

origin and the way in which meanings have changed throughout history.

From the Latin word 'involvere,' meaning 'to roll in,' or 'to envelop'.

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Trivia

Any details, considerations, events or pieces of information regarding the word

1. The term 'involution' was first used in English in the 16th century.

2. In mathematics, the term 'involution' can also refer to the process of inverting a matrix.

3. In psychology, the term 'involution' is sometimes used interchangeably with the term 'regression' to describe the psychological process of returning to an earlier stage of development.

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Related Concepts

informations on related concepts or terms closely associated with the word. Discuss semantic fields or domains that the word belongs to

1. Evolution: Both involution and evolution refer to processes of change, but while evolution implies a progression or development from simpler to more complex forms, involution implies a turning inward or a return to a simpler state.

2. Revolution: Both involution and revolution refer to circular motion, but while revolution refers to a complete rotation around a center, involution refers to a psychological or biological inward turn.

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Culture

Any cultural, historical, or symbolic significance of the word. Explore how the word has been used in literature, art, music, or other forms of expression.

In literature, involution is often used to describe the psychological or emotional development of a character. In art, it can refer to the process of creating intricate patterns or designs. In mathematics, involution is a fundamental concept in various fields, including geometry and algebra.

How to Memorize "involution"

1. visualize
   

   - Visualize a caterpillar turning into a butterfly to remember the concept of involution as a biological process.
   - Visualize a function that maps a set to itself and satisfies the property that applying the function twice results in the original element to remember the concept of involution in mathematics.

2. associate
   

   - Associate the concept of involution with the idea of turning inward or returning to a simpler state.
   - Associate the mathematical concept of involution with the idea of a function that maps a set to itself and satisfies the property that applying the function twice results in the original element.

3. mnemonics
   

   - Use the mnemonic 'Involve inverts' to remember that involution involves turning inward or inverting.
   - Use the mnemonic 'Inverse twice' to remember that an involution is a function that, when applied twice, results in the original element.

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