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Topics referred to by the same term
Multiplicative may refer to: Multiplication Multiplicative function Multiplicative group Multiplicative identity Multiplicative inverse Multiplicative
Multiplicative
Arithmetical operation
generalizations See Multiplication in group theory, above, and multiplicative group, which for example includes matrix multiplication. A very general, and
Multiplication
Concept in modular arithmetic
to n, the multiplicative order of a modulo n is the smallest positive integer k such that ak ≡ 1 (mod n). In other words, the multiplicative order of a
Multiplicative_order
Number which when multiplied by x equals 1
is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction a b {\displaystyle {\tfrac {a}{b}}}
Multiplicative_inverse
Concept in modular arithmetic
solution, i.e., when it exists, a modular multiplicative inverse is unique: If b and b' are both modular multiplicative inverses of a respect to the modulus
Modular multiplicative inverse
Modular_multiplicative_inverse
empty product 1. Equivalently, a multiplicative set is a submonoid of the multiplicative monoid of a ring. Multiplicative sets are important especially in
Multiplicatively_closed_set
Mathematical symbol
multiplication sign (×), also known as the times sign or the dimension sign, is a mathematical symbol used to denote the operation of multiplication,
Multiplication_sign
Mathematical operation in linear algebra
as matrix multiplication (up to a multiplicative constant), the computational complexity of matrix multiplication appears throughout numerical linear
Matrix_multiplication
mathematics, a multiplicative character (or linear character, or simply character) on a group G is a group homomorphism from G to the multiplicative group of
Multiplicative_character
Computation modulo a fixed integer
a 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
Modular_arithmetic
Topics referred to by the same term
in digital photography Multiplicative factor This disambiguation page lists articles associated with the title Multiplication factor. If an internal link
Multiplication_factor
Topics referred to by the same term
generalized multiplicative function, in number theory Multiply (website), e-commerce website based in Jakarta, Indonesia Multiplication of money, the
Multiplication (disambiguation)
Multiplication_(disambiguation)
Way to write a number as a product of other numbers
pointwise. Although the study of multiplicative partitions has been ongoing since at least 1923, the name "multiplicative partition" appears to have been
Multiplicative_partition
Function equal to the product of its values on coprime factors
coprime. An arithmetic function is said to be completely multiplicative (or totally multiplicative) if f ( 1 ) = 1 {\displaystyle f(1)=1} and f ( a b ) =
Multiplicative_function
Mathematical structure with multiplication as its operation
mathematics and group theory, the term multiplicative group refers to one of the following concepts: the group under multiplication of the invertible elements of
Multiplicative_group
Concept in mathematics
power series with constant term 1 gives rise to a multiplicative sequence. To recover a multiplicative sequence from a characteristic power series Q(z)
Multiplicative_sequence
Algorithm for fast modular multiplication
Montgomery modular multiplication, more commonly referred to as Montgomery multiplication, is a method for performing fast modular multiplication. It was introduced
Montgomery modular multiplication
Montgomery_modular_multiplication
subject. The Mathematics Subject Classification for multiplicative number theory is 11Nxx. Multiplicative number theory deals primarily in asymptotic estimates
Multiplicative_number_theory
Roman Catholic Church in Israel
of the Multiplication of the Loaves and Fish (Latin: Ecclesia multiplicationis panum et piscium), shortened to the Church of the Multiplication, is a Roman
Church_of_the_Multiplication
Feedback control algorithm used in congestion control
an equal usage of a shared link. The related schemes of multiplicative-increase/multiplicative-decrease (MIMD) and additive-increase/additive-decrease
Additive increase/multiplicative decrease
Additive_increase/multiplicative_decrease
Signal processing phenomenon
In signal processing, the term multiplicative noise refers to an unwanted random signal that gets multiplied into some relevant signal during capture,
Multiplicative_noise
Mathematical table
columns for multiplication by 1, the multiplicative identity, which satisfies a × 1 = a. The traditional rote learning of multiplication was based on
Multiplication_table
Algorithm to multiply two numbers
A multiplication algorithm is an algorithm (or method) to multiply two numbers. Depending on the size of the numbers, different algorithms are more efficient
Multiplication_algorithm
Algebraic structure with addition and multiplication
defined to have a multiplicative identity, while a structure with the same axiomatic definition but without the requirement for a multiplicative identity is
Ring_(mathematics)
Arithmetic function
products are important and are called completely multiplicative functions or totally multiplicative functions. A weaker condition is also important, respecting
Completely multiplicative function
Completely_multiplicative_function
Performing order of mathematical operations
is replaced with multiplication by the reciprocal (multiplicative inverse) then the associative and commutative laws of multiplication allow the factors
Order_of_operations
Probability distribution
Cobb–Douglas. A log-normal process is the statistical realization of the multiplicative product of many independent random variables, each of which is positive
Log-normal_distribution
Norm on a vector space of matrices
} can be rescaled to be sub-multiplicative; in some books, the terminology matrix norm is reserved for sub-multiplicative norms. A matrix norm is called
Matrix_norm
Group of units of the ring of integers modulo n
the multiplication is associative, commutative, and that the class of 1 is the unique multiplicative identity. Finally, given a, the multiplicative inverse
Multiplicative group of integers modulo n
Multiplicative_group_of_integers_modulo_n
Mapping arbitrary data to fixed-size values
(modulo) by a constant can be inverted to become a multiplication by the word-size multiplicative-inverse of that constant. This can be done by the programmer
Hash_function
Branch of elementary mathematics
{\displaystyle 48\div 8=48\times {\tfrac {1}{8}}} . The multiplicative identity element is 1 and the multiplicative inverse of a number is the reciprocal of that
Arithmetic
Mathematical operation on arithmetical functions
Dirichlet convolution of two multiplicative functions is again multiplicative, and every not constantly zero multiplicative function has a Dirichlet inverse
Dirichlet_convolution
Specific element of an algebraic structure
respect to multiplication is called a multiplicative identity (often denoted as 1). These need not be ordinary addition and multiplication—as the underlying
Identity_element
Fractal distribution of random points
In mathematics, a multiplicative cascade is a fractal/multifractal distribution of points produced via an iterative and multiplicative random process. The
Multiplicative_cascade
Telecommunication device that obscures signals
systems. A multiplicative scrambler is recursive, and a multiplicative descrambler is non-recursive. Unlike additive scramblers, multiplicative scramblers
Scrambler
Identity obeyed by many special functions related to the gamma function
obeying the multiplication theorem from any totally multiplicative function. Let f ( n ) {\displaystyle f(n)} be totally multiplicative; that is, f (
Multiplication_theorem
Mathematical formula
single-digit remains, which is called the multiplicative digital root of n {\displaystyle n} . The multiplicative digital root for the first few positive
Multiplicative_digital_root
Algebraic operation
In mathematics, scalar multiplication is one of the basic operations defining a vector space in linear algebra (or more generally, a module in abstract
Scalar_multiplication
Theorem about cocycles
In mathematics, the multiplicative ergodic theorem, or Oseledets theorem provides the theoretical background for computation of Lyapunov exponents of a
Oseledets_theorem
Algebraic structure with addition, multiplication, and division
+ (−a) = 0. Multiplicative inverses: for every a ≠ 0 in F, there exists an element in F, denoted by a−1 or 1/a, called the multiplicative inverse of a
Field_(mathematics)
Algorithmic technique
SDPs), and game theory. "Multiplicative weights" implies the iterative rule used in algorithms derived from the multiplicative weight update method. It
Multiplicative weight update method
Multiplicative_weight_update_method
Algebraic ring without a multiplicative identity
same properties as a ring, but without assuming the existence of a multiplicative identity. The term rng is meant to suggest that it is a ring without
Rng_(algebra)
Type of quantum number
mathematically similar to parity (physics) give rise to multiplicative quantum numbers. In principle, multiplicative quantum numbers can be defined for any abelian
Multiplicative_quantum_number
In mathematics, element with a multiplicative inverse
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
Unit_(ring_theory)
Square of numbers with equal row, column and diagonal totals
some other operation. For example, a multiplicative magic square has a constant product of numbers. A multiplicative magic square can be derived from an
Magic_square
Integer
can be proved using the distributive law and the axiom that 1 is the multiplicative identity: x + (−1) ⋅ x = 1 ⋅ x + (−1) ⋅ x = (1 + (−1)) ⋅ x = 0 ⋅ x =
−1
Binary search variation with simplified midpoint calculation
permutation used by multiplicative binary search places the optimal number of keys in the first (root) block, regardless of block size. Multiplicative binary search
Multiplicative_binary_search
Natural number
generally, in algebra, it denotes the multiplicative identity in any unital ring or field. An element with a multiplicative inverse is called a unit, generalizing
1
In number theory, two positive integers a and b are said to be multiplicatively independent if their only common integer power is 1. That is, for integers
Multiplicative_independence
Multiplicative factor in a mathematical expression
In mathematics, a coefficient is a multiplicative factor involved in some term of a polynomial, a series, or any other type of expression. It may be a
Coefficient
Method for computing the relation of two integers with their greatest common divisor
With 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
Extended_Euclidean_algorithm
Property of a number
is the smallest number of multiplicative persistence 3. In base 10, there is thought to be no number with a multiplicative persistence greater than 11;
Persistence_of_a_number
Multiplication algorithm
Lattice multiplication, also known as the Italian method, Chinese method, Chinese lattice, gelosia multiplication, sieve multiplication, shabakh, diagonally
Lattice_multiplication
Topics referred to by the same term
a type of character in number theory Multiplicative character, a homomorphism from a group to the multiplicative subgroup of a field Character education
Character
Construction of a ring of fractions
commonly done with respect to a multiplicatively closed set S (also called a multiplicative set or a multiplicative system) of elements of a ring R,
Localization (commutative algebra)
Localization_(commutative_algebra)
Two raised to an integer power
starting point 2k, and the period is the multiplicative order of 2 modulo 5k, which is φ(5k) = 4 × 5k−1 (see Multiplicative group of integers modulo n).[citation
Power_of_two
Alchemical process
Multiplication is the process in Western alchemy used to increase the potency of the philosopher's stone, elixir or projection powder. It occurs near the
Multiplication_(alchemy)
Algorithm to multiply matrices
subtraction operations. Applying this recursively gives an algorithm with a multiplicative cost of O ( n log 2 7 ) ≈ O ( n 2.807 ) {\displaystyle O(n^{\log _{2}7})\approx
Matrix multiplication algorithm
Matrix_multiplication_algorithm
Value that makes no change when added
different from the multiplicative identity 1 if the ring (or field) has more than one element. If the additive identity and the multiplicative identity are
Additive_identity
Arithmetic operation
invertible elements in a multiplicative monoid, that is, an algebraic structure, with an associative multiplication and a multiplicative identity denoted 1
Exponentiation
Mathematical technique
{\displaystyle a={\frac {bc}{d}}.} Another justification of cross-multiplication is as follows. Starting with the given equation a b = c d , {\displaystyle
Cross-multiplication
Mathematics optimization problem
Matrix chain multiplication (or the matrix chain ordering problem) is an optimization problem concerning the most efficient way to multiply a given sequence
Matrix_chain_multiplication
Axiom of set theory
In mathematics, the axiom of choice, abbreviated AC or AoC, is an axiom of set theory. Informally put, the axiom of choice says that given any collection
Axiom_of_choice
Algebraic structure
operation. The multiplicative inverse of an element may be computed by using the extended Euclidean algorithm (see Modular multiplicative inverse § Extended
Finite_field
Four-dimensional number system
division algebra. The multiplication with 1 of the basis elements i, j, and k is defined by the fact that 1 is a multiplicative identity, that is, i 1
Quaternion
Property of a mathematical operation
always true when performing additions and multiplications of real numbers, since addition and multiplication of real numbers are associative operations
Associative_property
Algebraic structure with only one element
single element is its own multiplicative inverse. Some properties of {0} depend on exact definition of the multiplicative identity; see § Unital structures
Zero_object_(algebra)
Index of articles associated with the same name
In mathematics, vector multiplication may refer to one of several operations between two (or more) vectors. It may concern any of the following articles:
Vector_multiplication
Mathematical function
qualified. A multiplicative character (or linear character, or simply character) on a group G is a group homomorphism from G to the multiplicative group of
Character_(mathematics)
Function whose domain is the positive integers
f is multiplicative, then so is g. If f is completely multiplicative, then g is multiplicative, but may or may not be completely multiplicative. There
Arithmetic_function
Irreducible polynomial whose roots are nth roots of unity
with the multiplicative order modulo a prime number. More precisely, given a prime number p and an integer b coprime with p, the multiplicative order of
Cyclotomic_polynomial
Array of numbers
and columns, usually satisfying certain properties of addition and multiplication. For example, [ 1 9 − 13 20 5 − 6 ] {\displaystyle
Matrix_(mathematics)
Names of numbers in English
attacks) is usually read nine eleven. A few numbers have specialised multiplicative numbers (adverbs), also called adverbial numbers, which express how
English_numerals
Finite field of two elements
number of elements, and is unique if the additive identity and the multiplicative identity are denoted respectively 0 and 1, as usual. The elements of
GF(2)
1961 single by Bobby Darin
"Multiplication" is a song recorded by American singer Bobby Darin, performed by him in the 1961 film Come September. US 7-inch single A. "Multiplication"
Multiplication_(song)
Elementwise product of two matrices
corresponding elements. This operation can be thought as a "naive matrix multiplication" and is different from the matrix product. It is attributed to, and
Hadamard_product_(matrices)
Factor that gives military assets the ability to accomplish greater feats than without it
In military science, force multiplication or a force multiplier is a factor or a combination of factors that gives personnel or weapons (or other hardware)
Force_multiplication
Type of mathematical expression
coefficients, that involves only the operations of addition, subtraction, multiplication and exponentiation to nonnegative integer powers, and has a finite number
Polynomial
Mathematical group that can be generated as the set of powers of a single element
its inverse. Each element can be written as an integer power of g in multiplicative notation, or as an integer multiple of g in additive notation. This
Cyclic_group
Group that is also a differentiable manifold with group operations that are smooth
is a group that is also a differentiable manifold, such that group multiplication and taking inverses are both differentiable. A manifold is a space that
Lie_group
Property of some mathematical operations
noncommutative operations. The idea that simple operations, such as the multiplication and addition of numbers, are commutative was for many centuries implicitly
Commutative_property
Integer having a non-trivial divisor
dynamics Persistence Additive Multiplicative Digit sum Digit sum Digital root Self Sum-product Digit product Multiplicative digital root Sum-product Coding-related
Composite_number
Country in South Asia
none other than our very simple arithmetic of addition, subtraction, multiplication and division. Rules for these four simple procedures was first written
India
Arithmetic in a field with a finite number of elements
Fermat's little theorem. Multiplicative inverse based on the Fermat's little theorem can also be interpreted using the multiplicative Norm function in finite
Finite_field_arithmetic
Structure-preserving function between two rings
homomorphism is a function f : R → S that preserves addition, multiplication and multiplicative identity; that is, f ( a + b ) = f ( a ) + f ( b ) , f ( a
Ring_homomorphism
System of resource-aware logic
dual. The rules for multiplicative conjunction (⊗) and disjunction (⅋): and for their units: Observe that the rules for multiplicative conjunction and disjunction
Linear_logic
Subset of a ring that forms a ring itself
even for rings that do have a multiplicative identity, in that all ideals become subrings, and they may have a multiplicative identity that differs from
Subring
Debate on mathematics education
Together these investigations have inspired curricula with "inherently multiplicative" tasks for young children.[citation needed] Examples of these tasks
Multiplication and repeated addition
Multiplication_and_repeated_addition
Linear operator scaling by a fixed function
multiplication operator is a linear operator Tf defined on some vector space of functions and whose value at a function φ is given by multiplication by
Multiplication_operator
Number divisible only by 1 and itself
from the multiplicative group of the field to a totally ordered additive group, also called orders), absolute values (certain multiplicative mappings
Prime_number
Chinese mathematician
Yongle Encyclopedia preserved this historic fact. Jia Xian's additive-multiplicative method implemented the "Horner" rule. Wu Wenjun chief ed, The Grand
Jia_Xian
Commutative group (mathematics)
notational conventions for abelian groups – additive and multiplicative. Generally, the multiplicative notation is the usual notation for groups, while the
Abelian_group
Multiplicative partitions of factorials are expressions of values of the factorial function as products of powers of prime numbers. They have been studied
Multiplicative partitions of factorials
Multiplicative_partitions_of_factorials
Algebraic structure used in topology
cohomology, but are harder to compute. A cohomology theory E is said to be multiplicative if E ∗ ( X ) {\displaystyle E^{*}(X)} has the structure of a graded
Cohomology
Number in {..., –2, –1, 0, 1, 2, ...}
integer has a multiplicative inverse (as is the case of the number 2), which means that Z {\displaystyle \mathbb {Z} } under multiplication is not a group
Integer
Device used for calculations
consists of keys used to input numbers and function commands (addition, multiplication, square root, etc.) Display panel (output device) – displays input numbers
Calculator
Multiplication algorithm
Egyptian multiplication (also known as Egyptian multiplication, Ethiopian multiplication, Russian multiplication, or peasant multiplication), one of two
Ancient Egyptian multiplication
Ancient_Egyptian_multiplication
Group obtained by aggregating similar elements of a larger group
we are using additive notation for the binary operation instead of multiplicative notation). The quotient group G / H {\displaystyle G/H} is thus { 0
Quotient_group
Multiplication is a mathematical practice that can be applied to music. The operation multiplies the numeric value of musical parameters like notes or
Multiplication_(music)
Type of group in mathematics
matrices of determinant one into the multiplicative group of Fq2. In the case of O+(2n, q), the image is the multiplicative group of Fq, which is a cyclic group
Orthogonal_group
MULTIPLICATIVE
MULTIPLICATIVE
MULTIPLICATIVE
MULTIPLICATIVE
Surname or Lastname
English
English : variant of Lanier 1.Dutch : variant of Leonard.Jewish (western Ashkenazic) : name taken by someone who was good at chanting the Pentateuch at public worship in the synagogue or who regularly did so, from West Yiddish layner ‘reader’ (a derivative of West Yiddish laynen ‘to read’, which comes ultimately from Latin legere ‘to read’).Jewish (Ashkenazic) : occupational name for a flax grower or merchant, from German Lein ‘flax’ + agent suffix -er.
Surname or Lastname
English
English : variant spelling of Abbott.
Boy/Male
Latin American English Scottish
Laurel.
Boy/Male
Tamil
Calm, Unmovable, Unshakable
Male
Egyptian
, living image of Amen.
Boy/Male
Muslim
Extremely patient
Boy/Male
Indian, Punjabi, Sikh
One who Sleeps Well
Boy/Male
Hindu, Indian
Life
Boy/Male
Indian
Passion
Boy/Male
Tamil
Abhyudaya | அபà¯à®¯à¯à®¤à®¯à®¾Â
Sunrise, Elevation, Increase, Prosperity
MULTIPLICATIVE
MULTIPLICATIVE
MULTIPLICATIVE
MULTIPLICATIVE
MULTIPLICATIVE
adv.
So as to multiply.
a.
Tending to multiply; having the power to multiply, or incease numbers.