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

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

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

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

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

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...

{\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...

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

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...

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...

) {\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...

{\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}...

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

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

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

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...

alternative for variants with sugar. The legal status of stevia as a food additive or dietary supplement varies from country to country. In the United States...

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...

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...

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...

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...

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...

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

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...

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...

categories in catalogues and databases, such as food additive, household product ingredient, industrial additive, personal care product/cosmetic ingredient, pesticide...

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...

In applied probability, a Markov additive process (MAP) is a bivariate Markov process where the future states depends only on one of the variables. The...

f(x_{1},x_{2},\dotsc )=x_{1}} . There is also a multiplicative (but not additive) map t : E ~ + → O C p {\displaystyle t:{\tilde {\mathbf {E} }}^{+}\to {\mathcal...

the Grothendieck group of A {\displaystyle {\mathcal {A}}} iff every additive map χ : O b ( A ) → X {\displaystyle \chi :\mathrm {Ob} ({\mathcal {A}})\to...