exponentiation

noun — 2 senses

exponentiation

noun

US /ˌɛk.spoʊˌnɛn.ʃiˈeɪ.ʃən/

Etymology Ultimately from exponent + -i- + -ation. Perhaps from exponential + -ation.

1

Arithmetic, Mathematics, Sciences The process of calculating a power by multiplying together a number of equal factors, where the exponent specifies the number of factors to multiply.

  • In 5⁴ the base is 5 and the power is 4, so there are 4 identical factors of 5, and exponentiation gives 625 as the result.
  • "The remarkable fact about the system is that it achieves such a high level of security with only six exponentiations," Boneh said, referring to the calculations used to raise numbers to a power. Other systems do exponentiation once, suggesting that this system may be about six times slower because exponentiation is the most time-consuming step in encrypting the data.1998 August 25, Peter Wayner, “IBM Says Encryption System Prevents Hacker Attack”, in The New York Times:
2

Arithmetic, Mathematics, Sciences A mathematical problem involving exponentiation.

  • "The remarkable fact about the system is that it achieves such a high level of security with only six exponentiations," Boneh said, referring to the calculations used to raise numbers to a power. Other systems do exponentiation once, suggesting that this system may be about six times slower because exponentiation is the most time-consuming step in encrypting the data.1998 August 25, Peter Wayner, “IBM Says Encryption System Prevents Hacker Attack”, in The New York Times:
Derived terms
exponentiate, superexponentiation
Coordinate terms
succession, addition, multiplication, tetration, pentation, hexation

Entry derived from the Wiktionary, under licence CC BY-SA 4.0 — list of authors.