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involution

involution

9.9
Raising a number to a power, for example squaring
  • noun
  • /ˌɪnvəˈluːʃən/
  • Archaic
translation icon : potenciación
  • In mathematics, involution refers to the operation of raising a number to a power, such as squaring it.

Examples

  • Understanding involution helps in solving equations where a variable must be raised to a specific power.

  • So with involution, one raises the base to a power.

  • The concept of involution is vital in algebra as it describes how variables can be manipulated through exponentiation.

Synonyms

exponentiation
vsinvolution
  • Specialized
1 8.6

Raising a number to a power, for example two to the third, means multiplying the number by itself three times

is the technical mathematical term stressing power operations

Surface Forms

involution singular
involutions plural

Morphology

involution = involute (opaque) = in + volut + ion

The mathematical meaning ('raising to a power' or other technical usages) is specialized and not deducible from the basic 'in'+'volut' parts by most learners.

Etymology

Involution comes from the Latin parts in- 'in' and volvere 'to roll', like in revolve or evolve. A helpful way to remember the math sense is to imagine a number being 'rolled into' a higher power, so the operation changes the number into a new, often much larger form.