In algebra, an additive map, Z {\displaystyle Z} -linear map or additive function is a function f {\displaystyle f} that preserves the addition operation:...

Look up additive in Wiktionary, the free dictionary. Additive may refer to: Additive function, a function in number theory Additive map, a function that...

conjugate of s . {\displaystyle s.} Antilinear maps stand in contrast to linear maps, which are additive maps that are homogeneous rather than conjugate homogeneous...

In mathematics, an additive set function is a function μ {\textstyle \mu } mapping sets to numbers, with the property that its value on a union of two...

Algebra/Linear Transformations Additive map – Z-module homomorphism Antilinear map – Conjugate homogeneous additive map Bent function – Special type of...

{\displaystyle c:=L(1)} ). Although every linear map is additive, not all additive maps are linear. An additive map f : R → R {\displaystyle f:\mathbb {R} \to...

In mathematics, the additive polynomials are an important topic in classical algebraic number theory. Let k be a field of prime characteristic p. A polynomial...

various areas of mathematics, particularly norms and square roots. Additive maps are special cases of subadditive functions. A subadditive function is...

A function f {\displaystyle f} that solves this equation is called an additive function. Over the rational numbers, it can be shown using elementary algebra...

using nonstandard analysis. Loeb's construction starts with a finitely additive map ν {\displaystyle \nu } from an internal algebra A {\displaystyle {\mathcal...

h)+(g\circ h),} where + is the group operation. Some authors have used the term additive category for preadditive categories, but this page reserves this term for...

) {\displaystyle (a_{1},a_{2},a_{3},...)} . Take for the ring all additive maps from S {\displaystyle S} to S {\displaystyle S} , with pointwise addition...

The genotype–phenotype map is a conceptual model in genetic architecture. Coined in a 1991 paper by Pere Alberch, it models the interdependency of genotype...

{\displaystyle B(\lambda v,w)=B(v,\lambda w)=\lambda B(v,w).} The map B {\displaystyle B} is additive in both components: if v 1 , v 2 ∈ V {\displaystyle v_{1}...

pair is the defining pair of inclusion maps from X1 and X2 into the direct sum, and the counit is the additive map from the direct sum of (X,X) to back...

may be several sets of variable unknowns, like when it is said that an additive map f {\displaystyle f} is one satisfying Cauchy's functional equation: f...

x\in X} and scalar s ∈ S . {\displaystyle s\in S.} For instance, every additive map between vector spaces is homogeneous over the rational numbers S := Q...

that φ(x, x) is a fixed point of the map α ↦ σ(α)ε. The fixed points of this map form a subgroup of the additive group of K. A (σ, ε)-Hermitian form is...

space V ¯ {\displaystyle {\overline {V}}} that has the same elements and additive group structure as V , {\displaystyle V,} but whose scalar multiplication...

3D printing or additive manufacturing is the construction of a three-dimensional object from a CAD model or a digital 3D model. It can be done in a variety...

Additive white Gaussian noise (AWGN) is a basic noise model used in information theory to mimic the effect of many random processes that occur in nature...

s^{*}q,sp+qr^{*})\,\\(p,q)^{*}&=(p^{*},-q)\,\end{aligned}}} for γ an additive map that commutes with * and left and right multiplication by any element...

is an additive map from test functions to G. This is formally similar to the usual definition of distributions, which are continuous linear maps from a...

to the same thing, depending on the context. An additive identity is the identity element in an additive group or monoid. It corresponds to the element...

plastic additives. A randomly chosen plastic product generally contains around 20 additives. The identities and concentrations of additives are generally...

showing that recombination frequencies between rII mutants are not strictly additive. The recombination frequency from a cross of two rII mutants (a x d) is...

"field automorphism of K". Explicitly, it is a function T : V → W that is: additive with respect to vector addition: T ( v + v ′ ) = T ( v ) + T ( v ′ ) {\displaystyle...

an antilinear map (also called a conjugate-linear map) f : H → Y {\displaystyle f:H\to Y} is a map between vector spaces that is additive: f ( x + y )...

there exists a "probability charge", that is: a non-constant finitely additive map from B {\displaystyle B} into [ 0 , 1 ] . {\displaystyle [0,1].} (BPI...

the exponential map when G {\displaystyle G} is the multiplicative group of positive real numbers (whose Lie algebra is the additive group of all real...