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Function equal to the product of its values on coprime factors
{\displaystyle b} are coprime. An arithmetic function is said to be completely multiplicative (or totally multiplicative) if f ( 1 ) = 1 {\displaystyle f(1)=1}
Multiplicative_function
Arithmetic function
convolution of two multiplicative functions is multiplicative, the Dirichlet convolution of two completely multiplicative functions need not be completely
Completely multiplicative function
Completely_multiplicative_function
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
Identity obeyed by many special functions related to the gamma function
polygamma function is the logarithmic derivative of the gamma function, and thus, the multiplication theorem becomes additive, instead of multiplicative: k m
Multiplication_theorem
Topics referred to by the same term
Multiplicative may refer to: Multiplication Multiplicative function Multiplicative group Multiplicative identity Multiplicative inverse Multiplicative
Multiplicative
Multiplicative function in number theory
The Möbius function μ ( n ) {\displaystyle \mu (n)} is a multiplicative function in number theory introduced by the German mathematician August Ferdinand
Möbius_function
Number of integers coprime to and less than n
1 ) = 1 {\displaystyle \gcd(1,1)=1} . Euler's totient function is a multiplicative function, meaning that if two numbers m {\displaystyle m} and n {\displaystyle
Euler's_totient_function
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
Function that returns its argument unchanged
completely multiplicative function (essentially multiplication by 1), considered in number theory. In a metric space the identity function is trivially
Identity_function
Function on an integer n which is log(p) if n equals p^k and zero otherwise
an important arithmetic function that is neither multiplicative nor additive. The von Mangoldt function, denoted by Λ ( n ) {\displaystyle \Lambda (n)}
Von_Mangoldt_function
Function studied by Ramanujan
n} are coprime (that is, τ ( n ) {\displaystyle \tau (n)} is a multiplicative function) τ ( p r + 1 ) = τ ( p ) τ ( p r ) − p 11 τ ( p r − 1 ) {\displaystyle
Ramanujan_tau_function
Association of one output to each input
compute the zeros of the function, the values where the function is defined but not its multiplicative inverse. Similarly, a function of a complex variable
Function_(mathematics)
Mapping arbitrary data to fixed-size values
possibly faster hash function. Selected divisors or multipliers in the division and multiplicative schemes may make more uniform hash functions if the keys are
Hash_function
Function that can be written as a sum over prime factors
with totally multiplicative functions. Every completely additive function is additive, but not vice versa. Examples of arithmetic functions which are completely
Additive_function
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
Arithmetical function
In number theory, the Dedekind psi function is the multiplicative function on the positive integers defined by ψ ( n ) = n ∏ p | n ( 1 + 1 p ) , {\displaystyle
Dedekind_psi_function
Function in mathematical number theory
λ function, the reduced totient function, and the least universal exponent function. The order of the multiplicative group of integers modulo n is φ(n)
Carmichael_function
Analytic function in mathematics
(1992). The Riemann Zeta-Function. Berlin, DE: W. de Gruyter. Montgomery, Hugh L.; Vaughan, Robert C. (2007). Multiplicative Number Theory. I. Classical
Riemann_zeta_function
Formal power series
generating function is especially useful when an is a multiplicative function, in which case it has an Euler product expression in terms of the function's Bell
Generating_function
Integer that divides another integer
total number of positive divisors of n {\displaystyle n} is a multiplicative function d ( n ) , {\displaystyle d(n),} meaning that when two numbers m
Divisor
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
Largest integer that divides given integers
be used to denote the GCD of multiple arguments. The GCD is a multiplicative function in the following sense: if a1 and a2 are relatively prime, then
Greatest_common_divisor
Function in number theory
may not be a quadratic residue mod p. The Legendre symbol is a multiplicative function. The Legendre symbol was introduced by Adrien-Marie Legendre in
Legendre_symbol
Product of the prime factors of an integer
(504)=2\cdot 3\cdot 7=42} The function r a d {\displaystyle \mathrm {rad} } is multiplicative (but not completely multiplicative). The radical of any integer
Radical_of_an_integer
Arithmetical function
positive integer k {\displaystyle k} , Jordan's totient function J k {\displaystyle J_{k}} is multiplicative and may be evaluated as J k ( n ) = n k ∏ p | n (
Jordan's_totient_function
Arithmetic function
(a)+\Omega (b)} , then λ ( n ) {\displaystyle \lambda (n)} is completely multiplicative. Since 1 {\displaystyle 1} has no prime factors, Ω ( 1 ) = 0 {\displaystyle
Liouville_function
Arithmetical operation
generalizations See Multiplication in group theory, above, and multiplicative group, which for example includes matrix multiplication. A very general, and
Multiplication
In number theory, the unit function is a completely multiplicative function on the positive integers defined as: ε ( n ) = { 1 , if n = 1 0 , if n ≠
Unit_function
{\displaystyle f_{p}(x)=\sum _{n=0}^{\infty }f(p^{n})x^{n}.} Two multiplicative functions can be shown to be identical if all of their Bell series are equal;
Bell_series
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
Online database of integer sequences
arXiv:2011.10546 [eess.SP], 2020. Wikipedia, Riemann zeta function. FORMULA Multiplicative with a(p^e) = 1 - p^2. a(n) = Sum_{d|n} mu(d)*d^2. abs(a(n))
On-Line Encyclopedia of Integer Sequences
On-Line_Encyclopedia_of_Integer_Sequences
The lowest common divisor is a term mistakenly used to refer to: Lowest common denominator, the lowest common multiple of the denominators of a set of
Lowest_common_divisor
Problem in number theory on equal totients
mathematics, Carmichael's totient function conjecture concerns the multiplicity of values of Euler's totient function φ ( n ) {\displaystyle \varphi (n)}
Carmichael's totient function conjecture
Carmichael's_totient_function_conjecture
Mathematical symbol
programming language to denote the sign function. The lower-case Latin letter x is sometimes used in place of the multiplication sign. This is considered incorrect
Multiplication_sign
Certain type of divisor of an integer
unitary divisors of n are multiplicative functions of n that are not completely multiplicative. The Dirichlet generating function is ζ ( s ) ζ ( s − k )
Unitary_divisor
Number of partitions of an integer
an exponential function of the square root of its argument. The multiplicative inverse of its generating function is the Euler function; by Euler's pentagonal
Partition function (number theory)
Partition_function_(number_theory)
Unsolved problem in mathematics
Unsolved problem in mathematics Can the totient function of a composite number n {\displaystyle n} divide n − 1 {\displaystyle n-1} ? More unsolved problems
Lehmer's_totient_problem
Exploring properties of the integers with complex analysis
about the Dirichlet series. Thus a common method for estimating a multiplicative function is to express it as a Dirichlet series (or a product of simpler
Analytic_number_theory
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)
Topics referred to by the same term
operator (M operator), a function-building operator for General recursive function Möbius function, a multiplicative function in number theory and combinatorics
MU
Arithmetic operation
invertible elements in a multiplicative monoid, that is, an algebraic structure, with an associative multiplication and a multiplicative identity denoted 1
Exponentiation
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
Type of filter in signal processing
transform (DTFT) and its inverse. Therefore, the complex-valued, multiplicative function H ( ω ) {\displaystyle H(\omega )} is the filter's frequency response
Finite_impulse_response
Topics referred to by the same term
(polynomials), the greatest common divisor of the coefficients is a multiplicative function Gauss's lemma (number theory), condition under which an integer
Gauss's_lemma
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
operation: Additive function: preserves the addition operation: f (x + y) = f (x) + f (y). Multiplicative function: preserves the multiplication operation: f (xy)
List_of_types_of_functions
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
Ratio of the perimeter of Bernoulli's lemniscate to its diameter
ν {\displaystyle \nu } function is closely related to the ξ {\displaystyle \xi } function which is the multiplicative function defined by ξ ( p n ) =
Lemniscate_constant
The greatest common multiple is a term mistakenly used to refer to: Least common denominator, the lowest common multiple of the denominators of a set of
Greatest_common_multiple
Integer which is the sum of its positive unitary divisors, not including itself
One gets this because the sum of all the unitary divisors is a multiplicative function and one has that the sum of the unitary divisors of a prime power
Unitary_perfect_number
Type of mathematical expression
polynomial function; that is, the evaluation consists of substituting a numerical value to each indeterminate and carrying out the indicated multiplications and
Polynomial
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
Mathematical function associated to algebraic varieties
in the case of multiplicative reduction ap is ±1 depending on whether E has split (plus sign) or non-split (minus sign) multiplicative reduction at p
Hasse–Weil_zeta_function
Extension of the factorial function
normalization of the gamma function is the integral of the additive character e − x {\displaystyle e^{-x}} against the multiplicative character x z {\displaystyle
Gamma_function
Product of the first "n" prime numbers
where φ {\displaystyle \varphi } is the Euler totient function. Any completely multiplicative function is defined by its values at primorials, since it is
Primorial
Algorithm to multiply two numbers
product of 9 and 3. In prehistoric time, quarter square multiplication involved floor function; that some sources attribute to Babylonian mathematics (2000–1600
Multiplication_algorithm
Functions of an angle
and arccos, etc. When this notation is used, inverse functions could be confused with multiplicative inverses. The notation with the "arc" prefix avoids
Trigonometric_functions
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
Complex-valued arithmetic function
than four generators. Character sum Multiplicative group of integers modulo n Primitive root modulo n Multiplicative character This is the standard definition;
Dirichlet_character
Mathematical description of quantum state
In quantum mechanics, a wave function (or wavefunction) is a mathematical description of the quantum state of an isolated quantum system. The most common
Wave_function
Mathematical series
if there exists an inverse function such that the Dirichlet convolution of f with its inverse yields the multiplicative identity ∑ d | n f ( d ) f −
Dirichlet_series
Integral using products instead of sums
the multiplicative Lorenz system", Chaos, Solitons & Fractals Volume 25, Issue 1, July 2005, pages 79–90. Fernando Córdova-Lepe. "The multiplicative derivative
Product_integral
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)
Mathematical concept
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
Inverse_function
Analytic function that does not satisfy a polynomial equation
addition, subtraction, multiplication, and division (without the need of taking limits). This is in contrast to an algebraic function. The most familiar transcendental
Transcendental_function
Family of solutions to related differential equations
Bessel functions are a class of special functions that commonly appear in problems involving wave motion, heat conduction, and other physical phenomena
Bessel_function
Infinite products of functions indexed by primes
would later become known as the Riemann zeta function. In general, if a is a bounded multiplicative function, then the Dirichlet series ∑ n = 1 ∞ a ( n
Euler_product
Mathematical function, inverse of an exponential function
discrete logarithm in the multiplicative group of non-zero elements of a finite field. Further logarithm-like inverse functions include the double logarithm ln(ln(x))
Logarithm
Evaluation of a function on its argument
In mathematics, function application (or evaluation) is the act of taking a function and an input from its domain to obtain the corresponding value from
Function_application
cryptanalysis Multiplicative function Additive function Dirichlet convolution Erdős–Kac theorem Möbius function Möbius inversion formula Divisor function Liouville
List_of_number_theory_topics
Generalized function whose value is zero everywhere except at zero
Dirac delta function (or δ {\displaystyle {\boldsymbol {\delta }}} distribution), also known as the unit impulse, is a generalized function on the real
Dirac_delta_function
Theorem in analytic number theory
Iwaniec. We make the assumptions: w ( d ) {\displaystyle w(d)} is a multiplicative function. The sifting density κ {\displaystyle \kappa } satisfies, for some
Fundamental lemma of sieve theory
Fundamental_lemma_of_sieve_theory
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)
Act of placing two elements side by side
times x {\displaystyle x} . It is also used for scalar multiplication, matrix multiplication, function composition, and logical and. In numeral systems, juxtaposition
Juxtaposition
Theorem in mathematics
inverse function. The inverse function is also continuously differentiable, and the inverse function rule expresses its derivative as the multiplicative inverse
Inverse_function_theorem
Average uncertainty in variable's states
Shannon entropy, but also it used the Liouville function along with averages of modulated multiplicative functions in short intervals. Proving it also broke
Entropy_(information_theory)
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
Mathematician
collaboration, covers the theory of the Riemann zeta function, random multiplicative functions, S-unit equations, smooth numbers, the large sieve, and
Adam_Harper
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
Mathematics award
multiplicative functions." Maksym Radziwill – "For fundamental breakthroughs in the understanding of local correlations of values of multiplicative functions
Breakthrough Prize in Mathematics
Breakthrough_Prize_in_Mathematics
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
Functions such that f(–x) equals f(x) or –f(x)
In mathematics, an even function is a real function such that f ( − x ) = f ( x ) {\displaystyle f(-x)=f(x)} for every x {\displaystyle x} in its domain
Even_and_odd_functions
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
Number without repeated prime factors
particular, the 2-free integers are the square-free integers. The multiplicative function c o r e t ( n ) {\displaystyle \mathrm {core} _{t}(n)} maps every
Square-free_integer
Linear operator acting on modular forms
proved the Hecke relations for the Ramanujan tau function, which implies that it is a multiplicative function, a property conjectured by Ramanujan. The idea
Hecke_operator
Algebraic ring without a multiplicative identity
axiom of multiplicative identity. A number of algebras of functions considered in analysis are not unital, for instance the algebra of functions decreasing
Rng_(algebra)
Ways to estimate the size of sifted sets of integers
where g ( d ) {\displaystyle g(d)} is a density, meaning a multiplicative function such that g ( 1 ) = 1 , 0 ≤ g ( p ) < 1 p ∈ P {\displaystyle g(1)=1
Sieve_theory
Algebraic structure in linear algebra
w, and called the sum of these two vectors. The binary function, called scalar multiplication, assigns to any scalar a in F and any vector v in V another
Vector_space
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
Generalization of additive and multiplicative inverses
-1}} is not commonly used for function composition, since 1 f {\textstyle {\frac {1}{f}}} can be used for the multiplicative inverse. If x and y are invertible
Inverse_element
Topics referred to by the same term
element for which a multiplication function is defined) Matrix inversion, an operation on a matrix that results in its multiplicative inverse Model inversion
Inversion
Finnish mathematician
distribution of multiplicative functions over short intervals of numbers; for instance, she showed that the values of the Möbius function are evenly divided
Kaisa_Matomäki
Mathematical function having a characteristic S-shaped curve or sigmoid curve
variable M7: Embedding a sigmoid function into other function M8: Sum of sigmoid functions M9: Multiplication of sigmoid functions M10: Integral of the product
Sigmoid_function
Function with a multiplicative scaling behaviour
mathematics, a homogeneous function is a function of several variables such that the following holds: If each of the function's arguments is multiplied by
Homogeneous_function
Real function with secant line between points above the graph itself
function is called convex if the line segment between any two distinct points on the graph of the function lies above or on the graph of the function
Convex_function
Algebraic operation
scalar multiplication is a function from K × V to V. The result of applying this function to k in K and v in V is denoted kv. Scalar multiplication obeys
Scalar_multiplication
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
Types of special mathematical functions
In mathematics, the upper and lower incomplete gamma functions are types of special functions which arise as solutions to various mathematical problems
Incomplete_gamma_function
Sum of the reciprocal of the Mersenne numbers
{\sigma _{0}(n)}{2^{n}}}} where σ0(n) = d(n) is the divisor function, a multiplicative function that equals the number of positive divisors of the number
Erdős–Borwein_constant
Theory in evolutionary biology
selected signals. Fitness depends on producing offspring, which is a multiplicative function of reproductive success given an individual is still alive times
Signalling_theory
MULTIPLICATIVE FUNCTION
MULTIPLICATIVE FUNCTION
Male
Celtic
, great justiciary, or functionary.
Surname or Lastname
English (chiefly Kent and Sussex)
English (chiefly Kent and Sussex) : occupational name for a designer or engineer, from a Middle English reduced form of Old French engineor ‘contriver’ (a derivative of engaigne ‘cunning’, ‘ingenuity’, ‘stratagem’, ‘device’). Engineers in the Middle Ages were primarily designers and builders of military machines, although in peacetime they might turn their hands to architecture and other more pacific functions.German : from the Latin personal name Januarius (see January 1). Jänner is a South German word for ‘January’, and so it is possible that this is one of the surnames acquired from words denoting months of the year, for example by converts who had been baptized in that month, people who were born or baptized in that month, or people whose taxes were due in January.
Female
Hebrew
(מֵרַב) Variant spelling of Hebrew Merav, MERAB means "increase, multiplication." In the bible, this is the name of the eldest daughter of King Saul.Â
Surname or Lastname
English
English : occupational name for a dresser of cloth, Old English fullere (from Latin fullo, with the addition of the English agent suffix). The Middle English successor of this word had also been reinforced by Old French fouleor, foleur, of similar origin. The work of the fuller was to scour and thicken the raw cloth by beating and trampling it in water. This surname is found mostly in southeast England and East Anglia. See also Tucker and Walker.In a few cases the name may be of German origin with the same form and meaning as 1 (from Latin fullare).Americanized version of French Fournier.Samuel Fuller (1589–1633), born in Redenhall, Norfolk, England, was among the Pilgrim Fathers who sailed on the Mayflower in 1620. He was a deacon of the church and until his death functioned as Plymouth Colony’s physician.
Boy/Male
Buddhist, Indian, Japanese
Mysterious Function
Biblical
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Male
Egyptian
, a high Egyptian functionary.
Male
Egyptian
, Functionary of the Interior.
Male
Egyptian
, an Egyptian functionary.
Surname or Lastname
English
English : nickname from the animal, Middle English catte ‘cat’. The word is found in similar forms in most European languages from very early times (e.g. Gaelic cath, Slavic kotu). Domestic cats were unknown in Europe in classical times, when weasels fulfilled many of their functions, for example in hunting rodents. They seem to have come from Egypt, where they were regarded as sacred animals.English : from a medieval female personal name, a short form of Catherine.Variant spelling of German and Dutch Katt.
Surname or Lastname
English
English : topographic name for someone who lived by the gates of a medieval walled town. The Middle English singular gate is from the Old English plural, gatu, of geat ‘gate’ (see Yates). Since medieval gates were normally arranged in pairs, fastened in the center, the Old English plural came to function as a singular, and a new Middle English plural ending in -s was formed. In some cases the name may refer specifically to the Sussex place Eastergate (i.e. ‘eastern gate’), known also as Gates in the 13th and 14th centuries, when surnames were being acquired.Americanized spelling of German Götz (see Goetz).Translated form of French Barrière (see Barriere).In New England, Gates was the preferred English version of the name of an extensive French family, called Barrière dit Langevin.
Female
Hebrew
(מֵרַב) Variant spelling of Hebrew Merab, MERAV means "increase, multiplication."Â
Male
Egyptian
, an Egyptian functionary.
Male
Egyptian
, a great functionary.
Male
Egyptian
, the son of the functionary Heknofre.
MULTIPLICATIVE FUNCTION
MULTIPLICATIVE FUNCTION
Boy/Male
Arabic
Helpful
Boy/Male
Muslim/Islamic
Popular
Boy/Male
Hindu
Cheerful, Pleased, Happy
Girl/Female
Hindu, Indian
Princess
Surname or Lastname
English
English : habitational name from Glydwish in Burwash, Sussex, which is named from Old English glida ‘kite’ + Old English wisc ‘marshy meadow’.Altered spelling of German Gladisch, from the personal name Gladu, Slavic form of Claudius, or a nickname for a proper looking person, from Slavic gladki ‘smooth’.
Girl/Female
Hindu
Salvation, Freedom from life and death
Girl/Female
Hindu
Girl/Female
American, Australian, British, Dutch, English, Greek
Follower of Christ; Anointed
Boy/Male
Tamil
Wind
Boy/Male
Hindu, Indian
Father of King; Raj means King and Aiah means Father
MULTIPLICATIVE FUNCTION
MULTIPLICATIVE FUNCTION
MULTIPLICATIVE FUNCTION
MULTIPLICATIVE FUNCTION
MULTIPLICATIVE FUNCTION
n.
The chain of micrococci formed by the division of the micrococci in multiplication.
n.
An increase above the normal number of parts, especially of petals; augmentation.
n.
Multiplication or increase by gemmation or budding.
adv.
So as to multiply.
a.
Tending to multiply; having the power to multiply, or incease numbers.
n.
The art of increasing gold or silver by magic, -- attributed formerly to the alchemists.
v. t.
To add (any given number or quantity) to itself a certain number of times; to find the product of by multiplication; thus 7 multiplied by 8 produces the number 56; to multiply two numbers. See the Note under Multiplication.
a.
Characterized by polysyndeton, or the multiplication of conjunctions.
n.
Formation into, or multiplication of, vacuoles.
n.
The number by which another number is multiplied. See the Note under Multiplication.
n.
The process of repeating, or adding to itself, any given number or quantity a certain number of times; commonly, the process of ascertaining by a briefer computation the result of such repeated additions; also, the rule by which the operation is performed; -- the reverse of division.
n.
The number or sum obtained by adding one number or quantity to itself as many times as there are units in another number; the number resulting from the multiplication of two or more numbers; as, the product of the multiplication of 7 by 5 is 35. In general, the result of any kind of multiplication. See the Note under Multiplication.
n.
A disease (morbus pediculous) consisting in the excessive multiplication of lice on the human body.
n.
The act or process of multiplying, or of increasing in number; the state of being multiplied; as, the multiplication of the human species by natural generation.
n.
The number which is to be multiplied by another number called the multiplier. See Note under Multiplication.
n.
The result of any process inverse to multiplication. See the Note under Multiplication.
a.
Consisting of many, or of more than one; multiple; multifold.
n.
The act or process of populating; multiplication of inhabitants.
n.
Superabundant fecundity or multiplication of the species.