group and ρ is a linear representation of it on the vector space V, then the dual representation ρ* is defined over the dual vector space V* as follows:...

experience with symbols. An essential part of representational insight is dual representation or the existence of multiple mental representations of a single symbolic...

Dual representation theory (DRT) is a psychological theory of post-traumatic stress disorder (PTSD) developed by Chris Brewin, Tim Dalgleish, and Stephen...

convergence of the first pth moments. The following dual representation of W1 is a special case of the duality theorem of Kantorovich and Rubinstein (1958):...

\rho :G\to {\text{GL}}(V)} be a given representation. The dual representation or contragredient representation ρ ∗ : G → GL ( V ∗ ) {\displaystyle \rho...

unitary representation, the dual representation and the conjugate representation coincide. This also holds for pseudounitary representations. Dual representation...

Dual-member proportional representation (DMP), also known as dual-member mixed proportional, is an electoral system designed to produce proportional election...

लक्ष्मी-नारायण, IAST: Lakṣmīnārāyaṇa) or Lakshmi Narayan is the dual representation of the Hindu deities Vishnu, also known as Narayana, and his consort...

abelian group G, a fairly complete picture of the representation theory of G is given by Pontryagin duality. In general, the unitary equivalence classes (see...

Harihara (Sanskrit: हरिहर) is the dual representation of the Hindu deities Vishnu (Hari) and Shiva (Hara). Harihara is also known as Shankaranarayana...

the occasion of Radhashtami. In relation with Krishna, Radha has dual representation—the lover consort as well as his married consort. Traditions like...

The Riesz representation theorem, sometimes called the Riesz–Fréchet representation theorem after Frigyes Riesz and Maurice René Fréchet, establishes...

mechanisms function to inhibit the recall of the original memory. Dual representation theory enhances this idea by suggesting two separate mechanisms that...

policy advocated by both governments dismantled the solution of dual representation but, amid the Cold War and Korean War, the United States and its...

field of representation theory a real representation is usually a representation on a real vector space U, but it can also mean a representation on a complex...

unitary dual and an isomorphism between the regular representation of G on the space L2(G) of square integrable functions on G and its representation on the...

In mathematics, the Gelfand representation in functional analysis (named after I. M. Gelfand) is either of two things: a way of representing commutative...

{M}}(P)=\{Q\ll P\}} . The dual characterization is tied to L p {\displaystyle L^{p}} spaces, Orlitz hearts, and their dual spaces. A lower semi-continuous...

corresponds to the dual representation of the standard representation. However, for the Lorentz group the dual of any representation is equivalent to the...

fundamental representation is 27-dimensional (complex), and a basis is given by the 27 lines on a cubic surface. The dual representation, which is inequivalent...

almost always resigns their first post when elected to another. Dual representation has occurred occasionally when the member was elected to a second...

pair Dual polygon Dual polyhedron Dual problem Dual representation Dual q-Hahn polynomials Dual q-Krawtchouk polynomials Dual space Dual topology Dual wavelet...

systematize the notion of a dual canonical basis. coadjoint A coadjoint representation is the dual representation of an adjoint representation. complete “completely...

Define Z x ( ℓ ) {\displaystyle Z_{\mathbf {x} }^{(\ell )}} to be the dual representation of the linear functional P ↦ P ( x ) {\displaystyle P\mapsto P(\mathbf...

inefficiencies[clarification needed] of the CVaR. Getting inspiration from the dual representation of the EVaR, Ahmadi-Javid developed a wide class of coherent risk...

numbers and a negative one grouped with the negatives. This kind of dual representation is known as signed zero, with the latter form sometimes called negative...

{c} \\&&&\mathbf {u} \geq \mathbf {0} \end{aligned}}} Using the dual representation of the residual problem, the original problem can be rewritten as...

where dot products are replaced by kernels, is easily derived in the dual representation of the SVM problem. This allows the algorithm to fit the maximum-margin...

any vector space V {\displaystyle V} has a corresponding dual vector space (or just dual space for short) consisting of all linear forms on V , {\displaystyle...

1-digit hexadecimal representation of nibble units (4 bits) of the IPv6 address. This scheme is defined in RFC 3596. When a dual-stack host queries a...