mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x−1, is a number which when multiplied by x yields the multiplicative identity...

mathematics, particularly in the area of arithmetic, a modular multiplicative inverse of an integer a is an integer x such that the product ax is congruent...

specifying the operation, such as in additive inverse, multiplicative inverse, and functional inverse. In this case (associative operation), an invertible...

to multiplication, apn−1 = 1 (for a ≠ 0), thus the inverse of a is apn−2. This algorithm is a generalization of the modular multiplicative inverse based...

not constantly zero multiplicative function has a Dirichlet inverse which is also multiplicative. In other words, multiplicative functions form a subgroup...

that provision, x is the modular multiplicative inverse of a modulo b, and y is the modular multiplicative inverse of b modulo a. Similarly, the polynomial...

misunderstood, (f(x))−1 certainly denotes the multiplicative inverse of f(x) and has nothing to do with the inverse function of f. The notation f ⟨ − 1 ⟩ {\displaystyle...

interpreted as polynomials over GF(2). First, the input is mapped to its multiplicative inverse in GF(28) = GF(2) [x]/(x8 + x4 + x3 + x + 1), Rijndael's finite...

estimates 1 x {\textstyle {\frac {1}{\sqrt {x}}}} , the reciprocal (or multiplicative inverse) of the square root of a 32-bit floating-point number x {\displaystyle...

An inverse number may refer to: The multiplicative inverse of a number A type of grammatical number This disambiguation page lists articles associated...

then the matrix B is uniquely determined by A, and is called the (multiplicative) inverse of A, denoted by A−1. Matrix inversion is the process of finding...

modular multiplicative inverse of a modulo m. If a ≡ b (mod m) and a−1 exists, then a−1 ≡ b−1 (mod m) (compatibility with multiplicative inverse, and, if...

Multiplicative may refer to: Multiplication Multiplicative function Multiplicative group Multiplicative identity Multiplicative inverse Multiplicative...

relation would be reversed. The rules for the additive inverse, and the multiplicative inverse for positive numbers, are both examples of applying a monotonically...

of them Multiplicative inverse (reciprocal), a number which when multiplied by a given number yields the multiplicative identity, 1 Inverse matrix of...

vu=uv=1,} where 1 is the multiplicative identity; the element v is unique for this property and is called the multiplicative inverse of u. The set of units...

real function f : x ↦ f ( x ) {\displaystyle f:x\mapsto f(x)} its multiplicative inverse x ↦ 1 / f ( x ) {\displaystyle x\mapsto 1/f(x)} is also a real function...

nonzero element a has a unique modular multiplicative inverse, a−1 such that aa−1 = a−1a ≡ 1 mod m. This inverse can be found by solving the congruence...

the multiplicative inverse (reciprocal) of the other, or equivalently if their product is a constant. It follows that the variable y is inversely proportional...

non-nullity of the Jacobian determinant, and the multiplicative inverse of the derivative is replaced by the inverse of the Jacobian matrix. The Jacobian determinant...

denoted by a−1 or 1/a, called the multiplicative inverse of a, such that a ⋅ a−1 = 1. Distributivity of multiplication over addition: a ⋅ (b + c) = (a ⋅...

raising a number to the power −1 has the same effect as taking its multiplicative inverse: x−1 = ⁠1/x⁠. This definition is then applied to negative integers...

\cdot \right)} ⁠, the rationals with multiplication, being a group: because zero does not have a multiplicative inverse (i.e., there is no x {\displaystyle...

transposing the matrix and replacing the nonzero values with their multiplicative inverses. That this matrix satisfies the above requirement is directly verified...

we have defined multiplication for formal power series, we can define multiplicative inverses as follows. The multiplicative inverse of a formal power...

(related through the identity |−x| = |x|). Monoid Inverse function Involution (mathematics) Multiplicative inverse Reflection (mathematics) Reflection symmetry...

{\displaystyle p} of the result of the corresponding integer operation. The multiplicative inverse of an element may be computed by using the extended Euclidean algorithm...

Wallace tree Multiplicative inverse, reciprocal Factorial Genaille–Lucas rulers Lunar arithmetic Napier's bones Peasant multiplication Product (mathematics)...

proportionality Kepler problem Kepler's laws of planetary motion Multiplicative inverse Principle of similitude Square–cube law Telecommunications, particularly:...

The inverse second or reciprocal second (s−1), also called per second, is a unit defined as the multiplicative inverse of the second (a unit of time)....