- In mathematics,
exponentiation,
denoted bn, is an
operation involving two numbers: the base, b, and the
exponent or power, n. When n is a
positive integer...
- are
commonly referred to as square-and-multiply
algorithms or
binary exponentiation.
These can be of
quite general use, for
example in
modular arithmetic...
- if μ ≤ π. It will be
unique (and
equal to π) if and only if μ < π.
Exponentiation is
given by | X | | Y | = | X Y | , {\displaystyle |X|^{|Y|}=\left|X^{Y}\right|...
-
Modular exponentiation is
exponentiation performed over a modulus. It is
useful in
computer science,
especially in the
field of public-key cryptography...
-
inequality (named
after Jacob Bernoulli) is an
inequality that
approximates exponentiations of 1 + x {\displaystyle 1+x} . It is
often emplo**** in real analysis...
- multiplication,
hence also
exponentiation, of
diagonal matrices is
equivalent to element-wise
addition and multiplication, and
hence exponentiation; in particular...
-
tetration (or hyper-4) is an
operation based on iterated, or repeated,
exponentiation.
There is no
standard notation for tetration,
though Knuth's up arrow...
- a
property of
exponentiation that (ab)c = abc, so it's
unnecessary to use
serial exponentiation for this. However, when
exponentiation is represented...
- own). However, this
requires that
every parti****nt
perform N
modular exponentiations. By
choosing a more
desirable order, and
relying on the fact that keys...
-
usual operations on
ordinal numbers: addition, multiplication, and
exponentiation. Each can be
defined in
essentially two
different ways:
either by constructing...
