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Longer titles found: Hypocontinuous bilinear map (view)

searching for Bilinear map 28 found (80 total)

alternate case: bilinear map

Additive map (1,193 words) [view diff] exact match in snippet view article find links to article

separately is called a bi-additive map or a Z{\displaystyle \mathbb {Z} }-bilinear map. Typical examples include maps between rings, vector spaces, or modules
Trace (linear algebra) (5,102 words) [view diff] exact match in snippet view article
automatically implies that this bilinear map is induced by a linear functional on V ⊗ V∗. Similarly, there is a natural bilinear map V × V∗ → Hom(V, V) given
Representable functor (1,472 words) [view diff] exact match in snippet view article find links to article
Q the function B(f) : B(P) → B(Q) which sends each bilinear map g : M × N → P to the bilinear map f∘g : M × N→Q. The functor B is represented by the R-module
Super Minkowski space (2,186 words) [view diff] exact match in snippet view article find links to article
-dimensional Minkowski space. Then there is an invariant, symmetric bilinear map [ ⋅ , ⋅ ] : S × S → M {\displaystyle [\cdot ,\cdot ]:S\times S\rightarrow
Lie algebra (10,013 words) [view diff] exact match in snippet view article find links to article
{g}}} together with an operation called the Lie bracket, an alternating bilinear map g×g→g{\displaystyle {\mathfrak {g}}\times {\mathfrak {g}}\rightarrow
Associative algebra (4,457 words) [view diff] exact match in snippet view article find links to article
universal property of a tensor product of modules, the multiplication (the R-bilinear map) corresponds to a unique R-linear map m:A⊗RA→A{\displaystyle m:A\otimes
Differential graded Lie algebra (751 words) [view diff] exact match in snippet view article find links to article
L=\bigoplus L_{i}} over a field of characteristic zero together with a bilinear map [ ⋅ , ⋅ ] : L i ⊗ L j → L i + j {\displaystyle [\cdot ,\cdot ]\colon
Ricci curvature (5,560 words) [view diff] exact match in snippet view article find links to article
\left(U,\varphi \right)}. For any p∈U{\displaystyle p\in U}, define a bilinear map Ricp:TpM×TpM→R{\displaystyle \operatorname {Ric} _{p}:T_{p}M\times T_{p}M\rightarrow
Graded (mathematics) (1,173 words) [view diff] exact match in snippet view article
graded vector space over a field of characteristic zero together with a bilinear map [ ,]:Li⊗Lj→Li+j{\displaystyle [\ ,]\colon L_{i}\otimes L_{j}\to L_{i+j}}
Universal coefficient theorem (1,121 words) [view diff] exact match in snippet view article find links to article
sequence splits, though not naturally. Here μ is the map induced by the bilinear map Hi(X; Z) × A → Hi(X; A). If the coefficient ring A is Z/pZ, this is a
Mathematics of general relativity (6,408 words) [view diff] exact match in snippet view article find links to article
without changing its direction. By definition, an affine connection is a bilinear map Γ(TM)×Γ(TM)→Γ(TM){\displaystyle \Gamma (TM)\times \Gamma (TM)\to \Gamma
Barrelled space (3,523 words) [view diff] exact match in snippet view article find links to article
space onto a barrelled space is almost open. A separately continuous bilinear map from a product of barrelled spaces into a locally convex space is hypocontinuous
Differentiable vector–valued functions from Euclidean space (3,994 words) [view diff] exact match in snippet view article find links to article
= f ( p ) y . {\displaystyle (f\otimes y)(p)=f(p)y.} This defines a bilinear map ⊗ : C k ( Ω ) × Y → C k ( Ω ; Y ) {\displaystyle \otimes :C^{k}(\Omega
Quantum cohomology (1,688 words) [view diff] exact match in snippet view article find links to article
H_{2}(X)}(a*b)_{A}\otimes e^{A}.} This extends by linearity to a well-defined Λ-bilinear map QH∗(X,Λ)⊗QH∗(X,Λ)→QH∗(X,Λ){\displaystyle QH^{*}(X,\Lambda )\otimes QH^{*}(X
Unitary group (3,181 words) [view diff] exact match in snippet view article find links to article
allows one to define a Hermitian form on an Fq2 vector space V, as an Fq-bilinear map Ψ:V×V→K{\displaystyle \Psi \colon V\times V\to K} such that Ψ(w,v)=α(Ψ(v
Quadratic form (4,379 words) [view diff] exact match in snippet view article find links to article
{\displaystyle Q(av)=a^{2}Q(v).} When the characteristic of K is not 2, the bilinear map B : V × V → K over K is defined: B(v,w)=12(Q(v+w)−Q(v)−Q(w)).{\displaystyle
Schur's lemma (Riemannian geometry) (2,368 words) [view diff] exact match in snippet view article
T_{p}M\times T_{p}M\to \mathbb {R} } the Ricci curvature, which is a symmetric bilinear map Ricp:TpM×TpM→R{\displaystyle \operatorname {Ric} _{p}:T_{p}M\times T_{p}M\to
J-structure (1,449 words) [view diff] exact match in snippet view article find links to article
V to End(V) and a distinguished element e. We let Q also denote the bilinear map Q(x,y) = Q(x+y) − Q(x) − Q(y). The properties of a quadratic Jordan algebra
Sakai–Kasahara scheme (1,593 words) [view diff] exact match in snippet view article find links to article
x} such that g x = t {\displaystyle \textstyle g^{x}=t} . There is a bilinear map, a Tate-Lichtenbaum pairing, e ( , ) {\displaystyle \textstyle e(,)}
Lie algebroid (6,953 words) [view diff] exact match in snippet view article find links to article
E→M{\displaystyle E\to M} consists of an R{\displaystyle \mathbb {R} }-bilinear map ∇:Γ(A)×Γ(E)→Γ(E),(α,s)↦∇α(s){\displaystyle \nabla :\Gamma (A)\times \Gamma
Sheaf cohomology (5,675 words) [view diff] exact match in snippet view article find links to article
sheaves A and B of abelian groups on a topological space X, there is a bilinear map, the cup product Hi(X,A)×Hj(X,B)→Hi+j(X,A⊗B),{\displaystyle H^{i}(X,A)\times
Universal enveloping algebra (8,897 words) [view diff] exact match in snippet view article find links to article
follows. First, recall that the bracket operation on a Lie algebra is a bilinear map g×g→g{\displaystyle {\mathfrak {g}}\times {\mathfrak {g}}\to {\mathfrak
Distribution (mathematics) (20,641 words) [view diff] exact match in snippet view article
convolution of distributions with compact support induces a continuous bilinear map E′×E′→E′{\displaystyle {\mathcal {E}}'\times {\mathcal {E}}'\to {\mathcal
List of formulas in Riemannian geometry (4,299 words) [view diff] exact match in snippet view article find links to article
fundamental form is, for each p∈M,{\displaystyle p\in M,} a symmetric bilinear map hp:TpΣ×TpΣ→TF(p)M,{\displaystyle h_{p}:T_{p}\Sigma \times T_{p}\Sigma
Calculus on Euclidean space (10,615 words) [view diff] exact match in snippet view article find links to article
represented by a matrix (Jacobian matrix), when m=1{\displaystyle m=1} (a bilinear map is a bilinear form), the bilinear form f″(x){\displaystyle f''(x)} is
Valuation (geometry) (5,974 words) [view diff] exact match in snippet view article
{\displaystyle V,W} be finite-dimensional real vector spaces. There exists a bilinear map, called the exterior product, ⊠ : Val ∞ ⁡ ( V ) × Val ∞ ⁡ ( W ) → Val
Adele ring (17,136 words) [view diff] exact match in snippet view article find links to article
Z{\displaystyle \mathbb {Z} }-module with a Z{\displaystyle \mathbb {Z} }-bilinear map Φ:Z^×Q→M.{\displaystyle \Phi :{\widehat {\mathbb {Z} }}\times \mathbb
Symmetric cone (16,254 words) [view diff] exact match in snippet view article find links to article
{\displaystyle \displaystyle {L(a,b)=2([L(a),L(b)]+L(ab)).}} Then L(a,b) gives a bilinear map into End E such that L(a,b)∗=L(b,a),L(a,b)c=L(c,b)a{\displaystyle \displaystyle