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exponentiation

exponentiation

1 8.6
Raising a number to a power, for example two to the third, means multiplying the number by itself three times
  • noun
  • /ɪkˌspoʊnənˈteɪʃən/
  • Specialized
translation icon : exponenciación
  • To find the value of 5 raised to the power of 4, we perform the operation of exponentiation, resulting in 625.
  • multiplication and exponentiation

Examples

  • In computer science, exponentiation is often used in algorithms to efficiently compute large exponential values.

  • This exponentiation is implemented via the 'square and multiply' algorithm, shown in the figure below:

    Blog text (24)
  • It's definition of the exponentiation procedure in terms of itself.

  • The exponentiation (M E) is performed using the following algorithm.

    Academic text (1999)
  • So actually you can do an exponentiation through recursive multiplication.

  • We'll also need another modulus under which to perform exponentiation and multiplication.

    Blog text (3)
  • The estimates of odds ratios and their confidence intervals, both overall and by age, were calculated by exponentiation of the relevant linear predictors.

    Academic text (2000)
  • Exponentiation, A B mod(N), is performed as repeated multiplications using a square and multiply algorithm.

    Academic text (1999)
  • We're doing this for every 256 bits of the file, so to hash an entire 1 gigabyte file, for instance, we have to compute over 33 million exponentiations.

    Blog text (3)
  • The multiplier performs the modulo multiplication and exponentiation functions, and the convert and cleanup hardware converts the result into the proper binary format to return to the application.

    Academic text (1999)

Synonyms

involution
vsexponentiation
  • Archaic
9.9

Raising a number to a power, for example squaring

is the general term for the same power calculation process

How Complex

exponentiation
  • Specialized
1 8.6
addition
34 1.0
counting
111 1.0

Surface Forms

Morphology

exponentiation = exponentiate (transparent) = exponent + iate + ion

Formed by adding the noun-forming suffix '-ion' to the verb 'exponentiate', whose meaning is clearly derived from 'exponent'.

Etymology

Exponentiation comes from the part exponent, which goes back to the Latin exponere meaning 'to put out' or 'to set forth'. Think of the exponent as the small number that 'sets out' how many times to use the base number, so exponentiation is the process of applying that power.