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Longer titles found: Strong dual space (view), Beta-dual space (view)

searching for Dual space 84 found (335 total)

alternate case: dual space

Janus (spacecraft) (794 words) [view diff] exact match in snippet view article

Janus was a planned NASA mission that would have sent dual space probes to visit asteroids chosen prior to launch. The mission was part of NASA's SIMPLEx
Multiplicity (mathematics) (1,778 words) [view diff] exact match in snippet view article
_{1},\cdots ,\partial _{k-1}} span a vector space, called the Macaulay dual space at x ∗ {\displaystyle x_{*}} , and its dimension is the multiplicity of
Dual curve (1,751 words) [view diff] exact match in snippet view article find links to article
a left-right reflection; this is an artifact of how the space and the dual space have been identified – in general these are symmetries of different spaces
Mirror descent (629 words) [view diff] exact match in snippet view article find links to article
Descent: Map to the dual space: θ t ← ∇ h ( x t ) {\displaystyle \theta _{t}\leftarrow \nabla h(x_{t})} Update in the dual space using a gradient step:
AW*-algebra (582 words) [view diff] exact match in snippet view article find links to article
C*-algebras, are typically handled using one of two means: they are the dual space of some Banach space, and they are determined to a large extent by their
Bounded mean oscillation (3,216 words) [view diff] exact match in snippet view article find links to article
limit always exists for an H1 function f and Tg is an element of the dual space (H1)*, since the transformation is anti-linear, we don't have an isometric
Positive current (426 words) [view diff] exact match in snippet view article find links to article
compact support. This way, currents are considered as elements in the dual space to the space Λ c ∗ ( M ) {\displaystyle \Lambda _{c}^{*}(M)} of forms
Banach lattice (466 words) [view diff] exact match in snippet view article find links to article
Banach spaces are now known; James' space is one such. The continuous dual space of a Banach lattice is equal to its order dual. Every Banach lattice admits
Hermitian symmetric space (7,418 words) [view diff] exact match in snippet view article find links to article
as Borel showed, can be embedded as an open subspace of its compact dual space. Harish Chandra showed that each non-compact space can be realized as
Natural transformation (5,663 words) [view diff] exact match in snippet view article find links to article
components). Every finite-dimensional vector space is isomorphic to its dual space, but there may be many different isomorphisms between the two spaces.
Theorem of Bertini (858 words) [view diff] exact match in snippet view article find links to article
divisors in P n {\displaystyle \mathbf {P} ^{n}} . Recall that it is the dual space ( P n ) ⋆ {\displaystyle (\mathbf {P} ^{n})^{\star }} of P n {\displaystyle
Octopus (software) (700 words) [view diff] no match in snippet view article
C.; Goedecker, S.; Hutter, J. (1998-08-15). "Relativistic separable dual-space Gaussian pseudopotentials from H to Rn". Physical Review B. 58 (7). American
Line coordinates (1,608 words) [view diff] exact match in snippet view article find links to article
f(x, y) = 0 in the plane, the tangents to the curve form a curve in the dual space called the dual curve. If φ(l, m) = 0 is the equation of the dual curve
Solid set (383 words) [view diff] exact match in snippet view article find links to article
solid neighborhood of the origin is a solid subset of the continuous dual space X ′ {\displaystyle X^{\prime }} ; moreover, the family of all solid equicontinuous
Dual linear program (4,278 words) [view diff] exact match in snippet view article find links to article
satisfy in the dual space, both indexed by output type. To each inequality to satisfy in the primal space corresponds a variable in the dual space, both indexed
Representation theorem (669 words) [view diff] exact match in snippet view article find links to article
representation theorem has several versions, one of them identifying the dual space of C0(X) with the set of regular measures on X. The Whitney embedding
David Klahr (636 words) [view diff] exact match in snippet view article find links to article
Development: An Information-Processing View 1988. (with Kevin Dunbar). Dual space search during scientific reasoning, Cognitive Science, 12(1), 1–48 2000
Abraham Lincoln (1924 film) (587 words) [view diff] exact match in snippet view article
Theatrical advert for the New Lyric Theater in November 1924, announcing the film, which shares dual space with Circe, the Enchantress with Mae Murray
Veronese surface (941 words) [view diff] exact match in snippet view article find links to article
then the definition must be altered to be understood as a mapping to the dual space of polynomials on V. This is because for fields with finite characteristic
Quantum mechanics (12,080 words) [view diff] exact match in snippet view article find links to article
Fourier analysis differentiation corresponds to multiplication in the dual space. This is why in quantum equations in position space, the momentum p i
Order topology (functional analysis) (1,371 words) [view diff] exact match in snippet view article
X} is endowed with the order topology. In particular, the continuous dual space of X {\displaystyle X} with the order topology will be the order dual
Measure (mathematics) (5,548 words) [view diff] exact match in snippet view article
{\displaystyle T} is injective. (This result has import in the study of the dual space of L 1 = L F 1 ( μ ) {\displaystyle L^{1}=L_{\mathbb {F} }^{1}(\mu )}
SENER (1,240 words) [view diff] exact match in snippet view article find links to article
scientific satellites or the project as prime contractor for the PROBA-3 dual space probe mission. This activity is complemented by projects carried out by
Generalizations of the derivative (3,555 words) [view diff] exact match in snippet view article find links to article
extended to a type of generalized functions called distributions, the dual space of test functions. Weak derivatives are particularly useful in the study
Dimensional analysis (11,900 words) [view diff] exact match in snippet view article find links to article
and can define VML := VM ⊗ VL as the tensor product. Similarly, the dual space can be interpreted as having "negative" dimensions. This corresponds to
Hilbert transform (8,151 words) [view diff] exact match in snippet view article find links to article
pairing between L p ( R ) {\displaystyle L^{p}(\mathbb {R} )} and the dual space L q ( R ) {\displaystyle L^{q}(\mathbb {R} )} , where p and q are Hölder
Dual graviton (2,722 words) [view diff] exact match in snippet view article find links to article
reduced to the graviton in the ordinary space, and the dual graviton in the dual space in D = 4. It is easy to notice the similarity between the Lanczos tensor
Vector bundle (4,089 words) [view diff] exact match in snippet view article find links to article
where x ∈ X and φ ∈ (Ex)*. The dual bundle is locally trivial because the dual space of the inverse of a local trivialization of E is a local trivialization
Hyperfunction (1,966 words) [view diff] exact match in snippet view article find links to article
{\displaystyle {\mathcal {O}}(U).} This induces an identification of the dual space, O ′ ( U ) , {\displaystyle {\mathcal {O}}'(U),} with B c ( U ) . {\displaystyle
Spectrum of a ring (4,084 words) [view diff] exact match in snippet view article find links to article
representations of K [ V ] {\displaystyle K[V]} are then parametrized by the dual space V ∗ , {\displaystyle V^{*},} the covector being given by sending each
Unisolvent functions (917 words) [view diff] exact match in snippet view article find links to article
\{f_{k}\}_{k=1}^{n}} is a basis for V h ∗ {\displaystyle V_{h}^{*}} , the dual space of V h {\displaystyle V_{h}} . Equivalently, and perhaps more intuitively
Triple system (1,582 words) [view diff] exact match in snippet view article find links to article
nondegenerate). In either case, there is an identification of V with its dual space, and a corresponding involution on g0. They induce an involution of V
Lie coalgebra (1,115 words) [view diff] exact match in snippet view article find links to article
be a Lie coalgebra over a field of characteristic neither 2 nor 3. The dual space E ∗ {\displaystyle E^{*}} carries the structure of a bracket defined by
Wiener's lemma (1,610 words) [view diff] exact match in snippet view article find links to article
{T} )} of continuous functions on T {\displaystyle \mathbb {T} } as its dual space. Then C ( T ) ⊂ L p ( T ) {\displaystyle C(\mathbb {T} )\subset L^{p}(\mathbb
Alexander P. Yefremov (300 words) [view diff] exact match in snippet view article find links to article
208–219 A. Yefremov: Bi-quaternion square roots, rotational relativity, and dual space-time intervals, Gravitation & Cosmology, Vol. 13 (2007), No. 3 (51), pp
Injective tensor product (2,519 words) [view diff] exact match in snippet view article find links to article
figure in Grothendieck's definition of nuclear spaces. The continuous dual space of X ⊗ ε Y {\displaystyle X\otimes _{\varepsilon }Y} is a vector subspace
Isaac Namioka (855 words) [view diff] exact match in snippet view article find links to article
side of the theorem that a space is an Asplund space if and only if its dual space has the Radon–Nikodým property. The other side was completed in 1978 by
Kazhdan's property (T) (1,743 words) [view diff] exact match in snippet view article
Burger)", Astérisque, 175. Kazhdan, D. (1967), "On the connection of the dual space of a group with the structure of its closed subgroups", Functional Analysis
Andriyan Nikolayev (982 words) [view diff] exact match in snippet view article find links to article
television broadcast from space, in August 1962. Vostok 3 was part the first dual space flight, with Pavel Popovich on Vostok 4. In the early days of space travel
Quantum group (4,983 words) [view diff] exact match in snippet view article find links to article
t_{\mu _{j}}}} and an infinite formal sum, where λj is a basis for the dual space to the Cartan subalgebra, and μj is the dual basis, and η = ±1. The formal
Fourier series (11,633 words) [view diff] exact match in snippet view article find links to article
Fourier-Schwartz series is relatively trivial due to the characteristics of its dual space; the Schwartz space S ( R n ) {\displaystyle {\mathcal {S}}(\mathbb {R}
Weight (representation theory) (3,355 words) [view diff] exact match in snippet view article
h → C {\displaystyle \lambda :{\mathfrak {h}}\to \mathbb {C} } , the dual space to h {\displaystyle {\mathfrak {h}}} . For computations, it is convenient
Weyl–Brauer matrices (1,630 words) [view diff] exact match in snippet view article find links to article
but for one caveat. The identification of the space of spinors with its dual space is invariant under proper rotations, and so the two spaces are spinorially
Locally profinite group (894 words) [view diff] exact match in snippet view article find links to article
{\displaystyle G/K} is at most countable for all open compact subgroups K. The dual space V ∗ {\displaystyle V^{*}} carries the action ρ ∗ {\displaystyle \rho ^{*}}
Entanglement witness (932 words) [view diff] exact match in snippet view article find links to article
there is more than one entanglement witness. Recall the fact that the dual space of the Banach space of trace-class operators is isomorphic to the set
Lie algebra representation (4,312 words) [view diff] exact match in snippet view article find links to article
{\displaystyle {\mathfrak {g}}} . Let V ∗ {\displaystyle V^{*}} be the dual space, that is, the space of linear functionals on V {\displaystyle V} . Then
Space Systems Command (7,385 words) [view diff] exact match in snippet view article find links to article
When the Space and Missile Systems Center was established in 1992, the dual space and missile symbiology was restored. The emblem was replaced in 2002 when
Stiefel manifold (2,141 words) [view diff] exact match in snippet view article find links to article
construction gives a bijection between bases for X and bases for the dual space X ∗ , {\displaystyle X^{*},} which is continuous, and thus yields a homeomorphism
Duality (projective geometry) (5,681 words) [view diff] exact match in snippet view article
every subspace S of PG(n, K). It is also common to bypass mentioning the dual space and write, in terms of the associated sesquilinear form: S ⊥ = { u  in 
Abelian von Neumann algebra (1,551 words) [view diff] exact match in snippet view article find links to article
μ); The topology of weak* convergence on L∞(X, μ) considered as the dual space of L1(X, μ). However, for an abelian von Neumann algebra A the realization
Representation of a Lie group (5,246 words) [view diff] exact match in snippet view article find links to article
GL(V)} be a representation of G. Let V ∗ {\displaystyle V^{*}} be the dual space, that is, the space of linear functionals on V {\displaystyle V} . Then
Bicrossed product of Hopf algebra (665 words) [view diff] exact match in snippet view article find links to article
S(a_{(1)})^{S(x_{(1)})}} . For a given Hopf algebra H {\displaystyle H} , its dual space H ∗ {\displaystyle H^{*}} has a canonical Hopf algebra structure and H
Coxeter complex (1,254 words) [view diff] exact match in snippet view article find links to article
case, it is no longer possible to identify V {\displaystyle V} with its dual space V ∗ {\displaystyle V^{*}} , as B {\displaystyle B} is degenerate. It is
Projective variety (7,499 words) [view diff] exact match in snippet view article find links to article
{F}}^{\vee }\otimes \omega _{X})'} where the superscript prime refers to the dual space and F ∨ {\displaystyle {\mathcal {F}}^{\vee }} is the dual sheaf of F
Representation theory of semisimple Lie algebras (4,247 words) [view diff] exact match in snippet view article find links to article
which we use to identify h {\displaystyle {\mathfrak {h}}} with its dual space. If ( π , V ) {\displaystyle (\pi ,V)} is a representation of g {\displaystyle
Image segmentation (9,654 words) [view diff] exact match in snippet view article find links to article
 y) < T, and φ(x, y) = 1, if B(x, y) ≥ T. The bitmap b is an object in dual space. On that bitmap a measure has to be defined reflecting how compact distributed
Big Trak (1,869 words) [view diff] case mismatch in snippet view article find links to article
learning, Scientific discovery, View application, Cognitive development, and Dual Space Search. Games magazine included Big Trak in their "Top 100 Games of 1981"
List of abbreviations in oil and gas exploration and production (11,995 words) [view diff] no match in snippet view article find links to article
– drill-stem test DSTG – DSTG log DSTL – drill-stem test log DSTND – dual-space thermal neutron density log DSTPB – drill-stem test true vertical depth
Tyneside Cinema (2,327 words) [view diff] exact match in snippet view article find links to article
previously been occupied by a bank. The site also included a new purpose built dual space ('The Gallery'), functioning as a Gallery for artists' moving image during
Expected shortfall (6,445 words) [view diff] exact match in snippet view article find links to article
dual characterization in the corresponding L q {\displaystyle L^{q}} dual space. The domain can be extended for more general Orlicz Hearts. If the underlying
Internet censorship in India (12,985 words) [view diff] case mismatch in snippet view article find links to article
September 2020 AppLock 2 September 2020 AppLock Lite 2 September 2020 Dual Space - Multiple Accounts & App Cloner 2 September 2020 ZAKZAK Pro - Live chat
Universal representation (C*-algebra) (1,012 words) [view diff] exact match in snippet view article
is true of ρ. The mapping ρ → ρ is an isometric isomorphism from the dual space Φ(A)* onto the predual of Φ(A)−. As the set of linear functionals determining
Codevelopment (1,625 words) [view diff] exact match in snippet view article find links to article
transnational citizens, to the extent that they have a dual presence. This dual space of belonging, in turn, encourages decision making, influences on the economic
Reproducing kernel Hilbert space (6,286 words) [view diff] exact match in snippet view article find links to article
y\rangle } The RKHS H {\displaystyle H} corresponding to this kernel is the dual space, consisting of functions f ( x ) = ⟨ x , β ⟩ {\displaystyle f(x)=\langle
Quasiconvexity (calculus of variations) (1,686 words) [view diff] exact match in snippet view article
1)}V(x)dx=0} . The Riesz-Markov-Kakutani representation theorem states that the dual space of C 0 ( R m × d ) {\displaystyle C_{0}(\mathbb {R} ^{m\times d})} can
Universal enveloping algebra (9,255 words) [view diff] exact match in snippet view article find links to article
U({\mathfrak {g}})} ; more precisely, it is isomorphic to a subspace of the dual space U ∗ ( g ) . {\displaystyle U^{*}({\mathfrak {g}}).} These ideas can then
Distribution on a linear algebraic group (1,100 words) [view diff] exact match in snippet view article find links to article
Lie(G) is the tangent space to G at the identity element 1; i.e., the dual space of I 1 / I 1 2 {\displaystyle I_{1}/I_{1}^{2}} . Thus, a tangent vector
Calculus on Euclidean space (11,442 words) [view diff] exact match in snippet view article find links to article
exterior power ⋀ k T p ∗ M {\displaystyle \bigwedge ^{k}T_{p}^{*}M} of the dual space T p ∗ M {\displaystyle T_{p}^{*}M} of T p M {\displaystyle T_{p}M} such
Computational anatomy (16,879 words) [view diff] exact match in snippet view article find links to article
v\in V\ ,} with the linear operator A {\displaystyle A} mapping to the dual space A : V ↦ V ∗ {\displaystyle A:V\mapsto V^{*}} , with the integral calculated
System of imprimitivity (3,055 words) [view diff] exact match in snippet view article find links to article
Orbit structure on dual space
Pure spinor (2,923 words) [view diff] exact match in snippet view article find links to article
dimension n {\displaystyle n} , and V n ∗ {\displaystyle V_{n}^{*}} is its dual space, with scalar product defined as Q ( v 1 + w 1 , v 2 + w 2 ) := w 2 ( v
K-transform (1,120 words) [view diff] exact match in snippet view article find links to article
{\displaystyle L^{\infty }} be the essentially bounded measurable functions of the dual space. The following result says that − K {\displaystyle -{\mathcal {K}}} is
Large deformation diffeomorphic metric mapping (7,244 words) [view diff] exact match in snippet view article find links to article
by parts when A v {\displaystyle Av} is a generalized function in the dual space V ∗ {\displaystyle V^{*}} . The differential operator is selected so that
List of formulas in Riemannian geometry (5,403 words) [view diff] exact match in snippet view article find links to article
ξ ∈ T p ∗ M {\displaystyle \xi \in T_{p}^{\ast }M} an element of the dual space to the vector space of symmetric 2-tensors on T p M {\displaystyle T_{p}M}
Glossary of invariant theory (4,614 words) [view diff] exact match in snippet view article find links to article
invariant given by either the pairing of a vector and a vector in the dual space, or the determinant of a matrix form by n vectors of an n-dimensional
Riemannian metric and Lie bracket in computational anatomy (3,649 words) [view diff] no match in snippet view article find links to article
Av} a generalized function A v ∈ V ∗ {\displaystyle Av\in V^{*}} the dual-space. The differential operator is selected so that the Green's kernel associated
Bayesian model of computational anatomy (3,931 words) [view diff] exact match in snippet view article find links to article
by parts when A v {\displaystyle Av} is a generalized function in the dual space V ∗ {\displaystyle V^{*}} . In the random orbit model of computational
Development of BioShock Infinite (12,659 words) [view diff] no match in snippet view article find links to article
Jagnow found through happenstance that the game's mechanics led to a "dual-space system" that may be challenging to the player. The game places the player
Diffeomorphometry (3,609 words) [view diff] no match in snippet view article find links to article
{\displaystyle A:V\rightarrow V^{*}} , where V ∗ {\displaystyle V^{*}} is the dual-space. In general, σ ≐ A v ∈ V ∗ {\displaystyle \sigma \doteq Av\in V^{*}} is
Glossary of representation theory (5,011 words) [view diff] exact match in snippet view article find links to article
(g)v,\alpha \rangle } for v in V and α {\displaystyle \alpha } in the dual space V ∗ {\displaystyle V^{*}} . Note the notion makes sense for any group:
Oscillator representation (21,527 words) [view diff] exact match in snippet view article find links to article
Fock space is generalized to infinite dimensions by replacing Cn (or its dual space) by an arbitrary complex Hilbert space H. The symmetric group Sk acts
Dilip Madan (1,990 words) [view diff] exact match in snippet view article find links to article
associated with the singular nature of the price functional in the topological dual space. In 2001, he proposed a modeling approach for asset price processes and
Hamiltonian constraint of LQG (7,798 words) [view diff] exact match in snippet view article find links to article
Such a state is not in the kinematic space but belongs to the larger dual space of a dense subspace of the kinematic space. We then define the action
Plane-based geometric algebra (4,361 words) [view diff] exact match in snippet view article find links to article
geometric algebra, which perform planar reflections, are mapped to points in dual space which are involved in non-trivial transformations known as collineations