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Longer titles found: Continuous linear extension (view)

searching for Linear extension 42 found (151 total)

Linear map (7,001 words) [view diff] exact match in snippet view article find links to article

{\displaystyle f} has a linear extension to span ⁡ S , {\displaystyle \operatorname {span} S,} then it has a linear extension to all of X . {\displaystyle

Hahn–Banach theorem (12,640 words) [view diff] exact match in snippet view article find links to article

spaces (where a bounded linear functional on a subspace has a bounded linear extension of the same norm to the whole space). In 1929, Banach, who was unaware

Riemann form (262 words) [view diff] exact match in snippet view article find links to article

integers satisfying the following Riemann bilinear relations: the real linear extension αR:Cg × Cg→R of α satisfies αR(iv, iw)=αR(v, w) for all (v, w) in Cg

Peter Benjamin Graham (2,308 words) [view diff] no match in snippet view article find links to article

Peter Benjamin Graham (4 June 1925 – 15 April 1987) was an Australian visual artist, printer, and art theorist. In 1954, Graham began to explore native

Densely defined operator (703 words) [view diff] exact match in snippet view article find links to article

Since the above inclusion is continuous, there is a unique continuous linear extension I : H → L 2 ( E , γ ; R ) {\displaystyle I:H\to L^{2}(E,\gamma ;\mathbb

Callao District (662 words) [view diff] exact match in snippet view article find links to article

The area in territorial conflict with the district of Lima has a linear extension of 0.35 kilometers and is mainly located in a section of Moreau street

Electrosurgery (3,688 words) [view diff] exact match in snippet view article find links to article

process of vaporization can be used to ablate tissue targets, or, by linear extension, used to transect or cut tissue. While the processes of vaporization/

Nijland (339 words) [view diff] exact match in snippet view article find links to article

around the church in a circle. During the 17th and 18th century, a linear extension was added to the south of the village. The tower of the Dutch Reformed

Paley–Wiener integral (603 words) [view diff] exact match in snippet view article find links to article

on any dense subspace of its domain, there is a unique continuous linear extension I : H → L 2 ( E , γ ; R ) {\displaystyle I:H\to L^{2}(E,\gamma ;\mathbb

Agricultural expansion (1,135 words) [view diff] exact match in snippet view article find links to article

and a 1.1-fold increase in land in cultivation. Based on a simple linear extension of past trends, the anticipated next doubling of global food production

Functional analysis (2,496 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \varphi (x)\leq p(x)\qquad \forall x\in U} then there exists a linear extension ψ : V → R {\displaystyle \psi :V\to \mathbb {R} } of φ {\displaystyle

Transpose of a linear map (2,716 words) [view diff] exact match in snippet view article find links to article

′ ∈ X ′ {\displaystyle x^{\prime }\in X^{\prime }} is a continuous linear extension of m ′ {\displaystyle m^{\prime }} to X {\displaystyle X} then the

Post-Newtonian expansion (1,245 words) [view diff] exact match in snippet view article find links to article

anisotropic stress, Φ = Ψ {\displaystyle \Phi =\Psi } . A useful non-linear extension of this is provided by the non-relativistic gravitational fields. Physics

Topological homomorphism (1,458 words) [view diff] exact match in snippet view article find links to article

topological homomorphism, then f {\displaystyle f} 's unique continuous linear extension F : C → D {\displaystyle F:C\to D} is a topological homomorphism. (However

Lightness (3,566 words) [view diff] exact match in snippet view article find links to article

= 0 and is tangent to the formula above at the point at which the linear extension takes effect. First, the transition point is determined to be ⁠Y/Yn⁠

Restriction (mathematics) (1,924 words) [view diff] exact match in snippet view article

f . {\displaystyle F{\big \vert }_{\operatorname {domain} f}=f.} A linear extension (respectively, continuous extension, etc.) of a function f {\displaystyle

Complete topological vector space (15,850 words) [view diff] exact match in snippet view article find links to article

complete Hausdorff TVS Z {\displaystyle Z} has a unique continuous linear extension to a map C → Z . {\displaystyle C\to Z.} Existence of Hausdorff completions

Canon EF 35mm lens (929 words) [view diff] exact match in snippet view article find links to article

seven lens elements, without any special lens elements. It uses a linear extension focusing system, powered by an AFD motor. Auto focus speed of this

Triangulation (topology) (5,150 words) [view diff] exact match in snippet view article

{K}}} onto a simplex in L {\displaystyle {\mathcal {L}}} . By affine-linear extension on the simplices, f {\displaystyle f} induces a map between the geometric

Res judicata (2,356 words) [view diff] exact match in snippet view article find links to article

judicata does not restrict the appeals process, which is considered a linear extension of the same lawsuit as the suit travels up (and back down) the appellate

San Martín de Porres District (1,684 words) [view diff] exact match in snippet view article find links to article

The area in territorial conflict with the district of Callao has a linear extension of approximately 11 kilometers and is located in two segments between

Dry Tortugas National Park (4,579 words) [view diff] case mismatch in snippet view article find links to article

ISSN 0027-8424. PMC 346039. PMID 16578761. Muslic, A. et al. (2013). Linear Extension Rates of Massive Corals from the Dry Tortugas National Park (DRTO)

String potentiometer (604 words) [view diff] exact match in snippet view article find links to article

rotating shaft creates an electrical signal proportional to the cable's linear extension or velocity. String potentiometers are used to measure the position

Linear form (5,966 words) [view diff] exact match in snippet view article find links to article

{\displaystyle M\subseteq X} which is dominated by p on M, then there exists a linear extension F : X → R {\displaystyle F:X\to \mathbb {R} } of f to the whole space

Differential form (10,058 words) [view diff] case mismatch in snippet view article find links to article

Lineale Ausdehnungslehre, ein neuer Zweig der Mathematik (The Theory of Linear Extension, a New Branch of Mathematics). Differential forms provide an approach

Riesz transform (970 words) [view diff] exact match in snippet view article find links to article

subspace of L2 implies that each Riesz transform admits a continuous linear extension to all of L2. Gilbarg, D.; Trudinger, Neil (1983), Elliptic Partial

Exterior algebra (12,118 words) [view diff] case mismatch in snippet view article find links to article

Ausdehnungslehre – Ein neuer Zweig der Mathematik (in German) (The Linear Extension Theory – A new Branch of Mathematics) alternative reference Kannenberg

Amenable group (3,232 words) [view diff] exact match in snippet view article find links to article

tu + y to t. By the Hahn–Banach theorem the latter admits a norm-one linear extension on ℓ∞(Z), which is by construction a shift-invariant finitely additive

Barycentric subdivision (2,533 words) [view diff] exact match in snippet view article find links to article

{K}}} onto a simplex in L {\displaystyle {\mathcal {L}}} . By affin-linear extension on the simplices, f {\displaystyle f} induces a map between the geometric

Lie derivative (7,051 words) [view diff] exact match in snippet view article find links to article

pullback of tensor fields. For covariant tensors, this is just the multi-linear extension of the pullback map ( Φ X t ) p ∗ : T Φ X t ( p ) ∗ M → T p ∗ M , (

Ocean acidification (15,328 words) [view diff] exact match in snippet view article find links to article

coral's capacity to build dense exoskeletons, rather than affecting the linear extension of the exoskeleton. The density of some species of corals could be

Group Hopf algebra (1,201 words) [view diff] exact match in snippet view article find links to article

vector space on G over k. As an algebra, its product is defined by linear extension of the group composition in G, with multiplicative unit the identity

Fuji GX680 (2,107 words) [view diff] exact match in snippet view article find links to article

III denoted with an "S" suffix (e.g., GX680 IIIS) which only allows linear extension of the front standard along the rails, and omits the tilt and shift

Alessandra Iozzi (290 words) [view diff] case mismatch in snippet view article find links to article

in 1989. Her dissertation, Invariant Geometric Structures: A Non-Linear Extension of the Borel Density Theorem, was supervised by Robert Zimmer. After

Structure constants (3,713 words) [view diff] exact match in snippet view article find links to article

{\displaystyle [T_{a},T_{b}]=\sum _{c}f_{ab}^{\;\;c}T_{c}} . Again, by linear extension, the structure constants completely determine the Lie brackets of all

Three-wave equation (1,547 words) [view diff] exact match in snippet view article find links to article

=\lambda \psi } for some differential operator D. The simplest non-linear extension of this is to write D ψ − λ ψ = ε ψ 2 . {\displaystyle D\psi -\lambda

Nikolai Ladovsky (2,217 words) [view diff] exact match in snippet view article find links to article

single-center concentric model of development. Instead, Ladovsky proposed linear extension of the city center along a single radius; concentric housing and industrial

Feature hashing (3,124 words) [view diff] exact match in snippet view article find links to article

R n {\displaystyle \phi :\mathbb {R} ^{T}\to \mathbb {R} ^{n}} by linear extension: ϕ ( ( x t ) t ∈ T ) = ∑ t ∈ T x t ζ ( t ) e h ( t ) = ∑ i = 1 n (

Cyclic sieving (2,304 words) [view diff] exact match in snippet view article find links to article

a generator c {\displaystyle c} of C n {\displaystyle C_{n}} , the linear extension of its action on X {\displaystyle X} gives a permutation matrix [ c

Non-relativistic gravitational fields (1,571 words) [view diff] exact match in snippet view article find links to article

fields. The importance of the NRG fields is that they provide a non-linear extension, thereby facilitating computation at higher orders in the weak field

Representation theory of finite groups (21,294 words) [view diff] exact match in snippet view article find links to article

s ∈ G {\displaystyle s\in G} and v ∈ V {\displaystyle v\in V} . By linear extension V {\displaystyle V} is endowed with the structure of a left- K [ G

Glossary of representation theory (5,011 words) [view diff] exact match in snippet view article find links to article

G=\operatorname {Sym} (X)} permutates the elements of the basis and its linear extension is precisely the permutation representation. Plancherel Plancherel