In exponentiation, the base is the number b in an expression of the form bn. The number n is called the exponent and the expression is known formally as...

exchange and RSA public/private keys. Modular exponentiation is the remainder when an integer b (the base) is raised to the power e (the exponent), and...

logarithm, the number whose logarithm is 1 Base (exponentiation), the number b in an expression of the form bn Base (geometry), a side of a plane figure (for...

mathematics, exponentiation is an operation involving two numbers: the base and the exponent or power. Exponentiation is written as bn, where b is the base and...

as 19 denotes the (decimal) number 1 × (−10)1 + 9 × (−10)0 = −1. Base (exponentiation) Mixed radix Polynomial Radix economy Radix sort Non-standard positional...

are commonly referred to as square-and-multiply algorithms or binary exponentiation. These can be of quite general use, for example in modular arithmetic...

mathematics, tetration (or hyper-4) is an operation based on iterated, or repeated, exponentiation. There is no standard notation for tetration, though...

mathematics and computer science, optimal addition-chain exponentiation is a method of exponentiation by a positive integer power that requires a minimal number...

a property of exponentiation that (ab)c = abc, so it's unnecessary to use serial exponentiation for this. However, when exponentiation is represented...

exponent is a zero of integer type, they return a 1 of the type of the base; exponentiation with a floating-point exponent of value zero is treated as undefined...

the logarithm to base b is the inverse function of exponentiation with base b. That means that the logarithm of a number x to the base b is the exponent...

usual operations on ordinal numbers: addition, multiplication, and exponentiation. Each can be defined in essentially two different ways: either by constructing...

trigonometric functions, logarithm with a specified base, exponentiation to a particular power or base, and hyperbolic functions. Arity Binary function Binary...

sense, it also includes exponentiation, extraction of roots, and taking logarithms. Arithmetic systems can be distinguished based on the type of numbers...

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|...

π . {\displaystyle \ln(-1)=i\pi .} Furthermore, using the laws for exponentiation, ( cos ⁡ x + i sin ⁡ x ) n = ( e i x ) n = e i n x = cos ⁡ n x + i sin...

multiplication (n = 2), and exponentiation (n = 3). After that, the sequence proceeds with further binary operations extending beyond exponentiation, using right-associativity...

the set of allowed digits for the given base.) Positional numeral systems work using exponentiation of the base. A digit's value is the digit multiplied...

more of the base units, possibly scaled by an appropriate power of exponentiation (see: Buckingham π theorem). Some are dimensionless, as when the units...

the base of the function .  While in expressions (...)(...) and (...)^(...) the value of the first element is called the base of the exponentiation.  ...

simplify formulas that combine binary logarithms with multiplication or exponentiation: log 2 ⁡ x y = log 2 ⁡ x + log 2 ⁡ y {\displaystyle \log _{2}xy=\log...

to provide equivalent security, compared to cryptosystems based on modular exponentiation in Galois fields, such as the RSA cryptosystem and ElGamal...

application is that digital hardware and architectures natively use base 2 exponentiation, and not decimal systems. JEDEC memory standards still permit this...

In general, exponentiation fails to be commutative. However, the equation x y = y x {\displaystyle x^{y}=y^{x}} has solutions, such as x = 2 ,   y = 4...

Regardless of the specific algorithm used, this operation is called modular exponentiation. For example, consider Z17×. To compute 34 in this group, compute 34...

names tetration, pentation, etc., for the extended operations beyond exponentiation. The sequence starts with a unary operation (the successor function...

arithmetic, in a logarithmic number system multiplication, division and exponentiation are simple to implement, but addition and subtraction are complex. The...

logarithm problem. The computation of ga mod p is known as modular exponentiation and can be done efficiently even for large numbers. Note that g need...

in exponentiation, such as in square and cubic forms, any multiples-prefix is considered part of the unit, and thus included in the exponentiation. 1 Mm2...

well-studied at the time. Moreover, like Diffie-Hellman, RSA is based on modular exponentiation. Ron Rivest, Adi Shamir, and Leonard Adleman at the Massachusetts...