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searching for Complex representation 79 found (88 total)

Electrical impedance (5,220 words) [view diff] exact match in snippet view article find links to article

element is the ratio of the complex representation of the sinusoidal voltage between its terminals, to the complex representation of the current flowing through

Instantaneous phase and frequency (1,511 words) [view diff] no match in snippet view article find links to article

Instantaneous phase and frequency are important concepts in signal processing that occur in the context of the representation and analysis of time-varying

Automorphic L-function (754 words) [view diff] exact match in snippet view article find links to article

reductive group G over a global field and a finite-dimensional complex representation r of the Langlands dual group LG of G, generalizing the Dirichlet

Real representation (638 words) [view diff] exact match in snippet view article find links to article

equivariant map given by complex conjugation. Conversely, if V is such a complex representation, then U can be recovered as the fixed point set of j (the eigenspace

Character theory (3,521 words) [view diff] exact match in snippet view article find links to article

realization of representations themselves. This is possible because a complex representation of a finite group is determined (up to isomorphism) by its character

Bott cannibalistic class (139 words) [view diff] exact match in snippet view article find links to article

\psi ^{k}} on the Thom class λ V {\displaystyle \lambda _{V}} of a complex representation V {\displaystyle V} . The term "cannibalistic" for these classes

Representation ring (977 words) [view diff] exact match in snippet view article find links to article

corresponds to the complex representation sending a generator of the group to a primitive nth root of unity. More generally, the complex representation ring of a

Complex conjugate representation (256 words) [view diff] exact match in snippet view article find links to article

real Lie algebras have the same complexification, and we have a complex representation of the complexified Lie algebra, their conjugate representations

Quaternionic matrix (689 words) [view diff] exact match in snippet view article find links to article

by replacing each entry in the quaternionic matrix by its 2 by 2 complex representation. The complex valued determinant of a square quaternionic matrix

Molien's formula (1,307 words) [view diff] exact match in snippet view article find links to article

Theodor Molien. Precisely, it says: given a finite-dimensional complex representation V of G and R n = C [ V ] n = Sym n ⁡ ( V ∗ ) {\displaystyle R_{n}=\mathbb

104 (number) (352 words) [view diff] exact match in snippet view article

non-strict group of Lie type or sporadic group, holds a minimal faithful complex representation in 104 dimensions. Sloane, N. J. A. (ed.). "Sequence A033950 (Refactorable

List of data structures (914 words) [view diff] no match in snippet view article find links to article

Symbol, a unique identifier Enumerated type, a set of symbols Complex, representation of complex numbers Array, a sequence of elements of the same type

For Colored Girls Who Have Considered Suicide / When the Rainbow Is Enuf (5,805 words) [view diff] exact match in snippet view article find links to article

interconnected stories of love, empowerment, struggle and loss into a complex representation of sisterhood. The cast consists of seven nameless African-American

Quaternion group (3,716 words) [view diff] exact match in snippet view article find links to article

representations. It is not realizable over the real numbers, but is a complex representation: indeed, it is just the quaternions H {\displaystyle \mathbb {H}

Monster group (3,096 words) [view diff] exact match in snippet view article find links to article

the monster are both trivial. The minimal degree of a faithful complex representation is 47 × 59 × 71 = 196883 , hence is the product of the three largest

Cayley plane (412 words) [view diff] exact match in snippet view article find links to article

It is the closed orbit in the projectivization of the minimal complex representation of E6. The complex Cayley plane consists of two complex F4-orbits:

Structure tensor (5,501 words) [view diff] exact match in snippet view article find links to article

gradient filter, and ∗ {\displaystyle *} is convolution, constitute a complex representation of the 2D Structure Tensor. As discussed here and elsewhere w {\displaystyle

23 (number) (3,114 words) [view diff] exact match in snippet view article

M 23 {\displaystyle \mathbb {M} _{23}} has a minimum faithful complex representation in 22 dimensions and group-3 actions on 253 objects, with 253 equal

Supersolvable group (491 words) [view diff] exact match in snippet view article find links to article

Sylow subgroups (a Z-group), is supersolvable. Every irreducible complex representation of a finite supersolvable group is monomial, that is, induced from

Video art (3,484 words) [view diff] exact match in snippet view article find links to article

playing the videos back on a television, resulting in a layered and complex representation of mediation. Much video art in the United States was produced in

Semisimple representation (4,081 words) [view diff] exact match in snippet view article find links to article

W^{\bot }} . For example, given a continuous finite-dimensional complex representation π : G → G L ( V ) {\displaystyle \pi :G\to GL(V)} of a finite group

19 (number) (3,906 words) [view diff] exact match in snippet view article

{\displaystyle 10944} is the dimensionality of the minimal faithful complex representation of O'Nan group O ′ N {\displaystyle O'N} — the second-largest after

Self-Portrait (Dürer, Munich) (1,440 words) [view diff] exact match in snippet view article

self-portraits has been replaced by a far more introverted and complex representation. In 1500, a frontal pose was exceptional for a secular portrait

Herbrand quotient (596 words) [view diff] exact match in snippet view article find links to article

G-module C⊗A (and so can be read off from the character of this complex representation of G). These properties mean that the Herbrand quotient is usually

Irreducible representation (2,824 words) [view diff] exact match in snippet view article find links to article

Let V {\displaystyle V} be an n {\displaystyle n} -dimensional complex representation of S n {\displaystyle S_{n}} with basis { v i } i = 1 n {\displaystyle

Principal indecomposable module (501 words) [view diff] exact match in snippet view article find links to article

p-modular system, one can use PIMs to transfer information from the complex representation ring to the representation ring over a field of positive characteristic

Clifford algebra (9,287 words) [view diff] exact match in snippet view article find links to article

algebras that have a complex representation of dimension 2n. By restricting to the group Pinp,q(R) we get a complex representation of the Pin group of

Riemann–Silberstein vector (2,015 words) [view diff] exact match in snippet view article find links to article

329..783S. doi:10.1002/andp.19073291409. Aste, Andreas (2012). "Complex representation theory of the electromagnetic field". Journal of Geometry and Symmetry

E6 (mathematics) (3,820 words) [view diff] exact match in snippet view article

which explains why the compact real form of E6 has a 27-dimensional complex representation. The compact real form of E6 is the isometry group of a 32-dimensional

Janko group J4 (895 words) [view diff] exact match in snippet view article find links to article

the 6 sporadic groups called the pariahs. The smallest faithful complex representation has dimension 1333; there are two complex conjugate representations

Held group (771 words) [view diff] exact match in snippet view article find links to article

order 2 and the Schur multiplier is trivial. The smallest faithful complex representation has dimension 51; there are two such representations that are duals

BPCS-steganography (557 words) [view diff] exact match in snippet view article find links to article

image conjugation transformation, in order to create a reciprocal complex representation. This form of steganography was proposed jointly by Eiji Kawaguchi

Inca Empire (13,063 words) [view diff] exact match in snippet view article find links to article

colonial chronicles and their relationship with the royal queens of Cuzco, which hide behind a complex representation of the Inca social organization.

Gauge theory (6,822 words) [view diff] exact match in snippet view article find links to article

{P}}\left\{e^{\int _{\gamma }A}\right\}\right)} where χ is the character of a complex representation ρ and P {\displaystyle {\mathcal {P}}} represents the path-ordered

Mathieu group M11 (864 words) [view diff] exact match in snippet view article find links to article

dimensions. This is the smallest possible dimension of a faithful complex representation, though there are also two other such representations in 10 dimensions

Complex spacetime (1,049 words) [view diff] exact match in snippet view article find links to article

Maxwell equations. Other ideas include mapping real spacetime into a complex representation space of SU(2, 2), see twistor theory. In 1919, Theodor Kaluza posted

Rank 3 permutation group (765 words) [view diff] exact match in snippet view article find links to article

of the linear representation resulting from "bringing down" the complex representation of Mitchell's group (a complex reflection group) modulo 2; three

Janko group J1 (1,209 words) [view diff] exact match in snippet view article find links to article

the 6 sporadic groups called the pariahs. The smallest faithful complex representation of J1 has dimension 56. J1 can be characterized abstractly as the

Augmentation ideal (431 words) [view diff] exact match in snippet view article find links to article

of G, defined as the quotient of G by its commutator subgroup. A complex representation V of a group G is a C [ G ] {\displaystyle \mathbb {C} [G]} - module

Artin reciprocity (2,326 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \sigma :G\to \mathbb {C} ^{\times }} (i.e. one-dimensional complex representation of the group G), there exists a Hecke character χ {\displaystyle

The Passage of the Delaware (2,558 words) [view diff] exact match in snippet view article find links to article

right of Washington on horseback in what some consider to be a complex representation of an enslaved person relative to other depictions at the time.

Fischer group Fi23 (589 words) [view diff] exact match in snippet view article find links to article

normalizer of a certain S3 group in the Monster. The smallest faithful complex representation has dimension 782 {\displaystyle 782} . The group has an irreducible

Unitarian trick (974 words) [view diff] exact match in snippet view article find links to article

C ) {\displaystyle \pi :G\rightarrow GL(n,\mathbb {C} )} be a complex representation of a compact Lie group G {\displaystyle G} . Define P = ∫ G π (

Monstrous moonshine (4,523 words) [view diff] exact match in snippet view article find links to article

was precisely one more than the degree of the smallest faithful complex representation of the monster group (namely 196883), replied that this was "moonshine"

Affine Lie algebra (2,549 words) [view diff] exact match in snippet view article find links to article

V_{k}({\mathfrak {g}})} where k ∈ C {\displaystyle k\in \mathbb {C} } , is the complex representation with basis { v n 1 ⋯ n m ρ 1 ⋯ ρ m : n 1 ≥ ⋯ ≥ n m ≥ 1 , ρ 1 ≤ ⋯

Quaternion (12,665 words) [view diff] exact match in snippet view article find links to article

quaternion is one quarter of the matrix trace. As with the 2 × 2 complex representation above, complex numbers can again be produced by constraining the

Phasor (4,997 words) [view diff] exact match in snippet view article find links to article

} whose real part is the original sinusoid. The benefit of the complex representation is that linear operations with other complex representations produces

Hecke algebra of a finite group (340 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \varphi :G\rightarrow GL(V)} be any finite-dimensional complex representation of a finite group G, the Hecke algebra H = End G ⁡ ( V ) {\displaystyle

Naya Rivera (17,510 words) [view diff] exact match in snippet view article find links to article

primetime television [and thus was] honored for her compassionate and complex representation". In industry tributes after her death, NBC wrote that Rivera "[redefined]

Fischer group Fi24 (661 words) [view diff] exact match in snippet view article find links to article

point stabilizer the Fischer group Fi23. The triple cover has a complex representation of dimension 783. When reduced modulo 3 this has 1-dimensional invariant

Binary moment diagram (819 words) [view diff] exact match in snippet view article find links to article

{\displaystyle y_{0}} add +1 Without weighted nodes a much more complex representation would be required: Result node, always value of node 2, if x 2 {\displaystyle

Topological group (7,560 words) [view diff] no match in snippet view article find links to article

finite groups. For example, every finite-dimensional (real or complex) representation of a compact group is a direct sum of irreducible representations

Locally profinite group (894 words) [view diff] exact match in snippet view article find links to article

it has open kernel. Let ( ρ , V ) {\displaystyle (\rho ,V)} be a complex representation of G. ρ {\displaystyle \rho } is said to be smooth if V is a union

Higgs mechanism (6,691 words) [view diff] exact match in snippet view article find links to article

spinor into each other, combining to the standard two-component complex representation of the group U(2). The Higgs field, through the interactions specified

Local Langlands conjectures (2,041 words) [view diff] exact match in snippet view article find links to article

representations to cuspidal representations. For every irreducible admissible complex representation π there is an L-function L(s,π) and a local ε-factor ε(s,π,ψ) (depending

Higman–Sims group (1,525 words) [view diff] exact match in snippet view article find links to article

group of permutations of a 100 element set. The smallest faithful complex representation of HS has dimension 22. Graham Higman (1969) independently discovered

Douglas Kellner (3,875 words) [view diff] exact match in snippet view article find links to article

analysis, he has read the image of the pop sensation Madonna as a complex representation of women that challenges gender, sexual, and fashion stereotypes

Representation of a Lie group (5,246 words) [view diff] exact match in snippet view article find links to article

corresponding 'infinitesimal' representations of Lie algebras. A complex representation of a group is an action by a group on a finite-dimensional vector

Super-Poincaré algebra (2,744 words) [view diff] exact match in snippet view article find links to article

conjugate to each other under the * conjugation. V is an N-dimensional complex representation of B and V* is its dual representation. The Lie bracket for the

Conway group (2,300 words) [view diff] exact match in snippet view article find links to article

(Suz=Suzuki sporadic group), which, as mentioned above, respects a complex representation of the Leech Lattice. Conway and Norton suggested in their 1979

Amyotrophic lateral sclerosis research (2,302 words) [view diff] exact match in snippet view article find links to article

model for ALS is the rodent, mouse model, which provide the most complex representation of nervous system that is considered the closest in mimicking human

Ion Antonescu (31,093 words) [view diff] exact match in snippet view article find links to article

novel is "admittedly not [Preda's] best work", and discuss his "complex representation" of Antonescu as "an essentially flawed but active leader who tried

Santana Lopez (8,651 words) [view diff] exact match in snippet view article find links to article

primetime television [and thus was] honored for her compassionate and complex representation". In Tracy L. Hawkins' chapter in the 2014 book Queer in the Choir

Restricted representation (3,061 words) [view diff] exact match in snippet view article find links to article

Classical branching rules describe the restriction of an irreducible complex representation (π, V) of a classical group G to a classical subgroup H, i.e. the

Make believe (4,188 words) [view diff] exact match in snippet view article find links to article

individual's ability to cooperate and work with others. This is a complex representation skill because it requires the child to have a representation of

Representation theory of the symmetric group (2,840 words) [view diff] exact match in snippet view article find links to article

m={\text{lcm}}(\mu _{i})} , the eigenvalues of w {\displaystyle w} in a complex representation of S n {\displaystyle S_{n}} are of the type ω e j {\displaystyle

B. S. Madhava Rao (533 words) [view diff] exact match in snippet view article find links to article

Indian Academy of Sciences" (PDF). Madhava Rao, B. S. (1936). "Complex representation in Born's field theory". Proceedings of the Indian Academy of Sciences

Spin representation (4,482 words) [view diff] exact match in snippet view article find links to article

q); as a representation of so(p, q), it therefore extends to a complex representation of so(n, C). Proceeding in reverse, we therefore first construct

History of special relativity (16,903 words) [view diff] exact match in snippet view article find links to article

four-dimensional non-Euclidean manifold. Sommerfeld (1910) used Minkowski's complex representation to combine non-collinear velocities by spherical geometry and so

Craige B. Champion (891 words) [view diff] exact match in snippet view article find links to article

Politics in Polybius’s Histories (2004) followed by demonstrating the complex representation of various cultures, especially the Romans, in Polybius’ text. These

Ion Creangă (17,532 words) [view diff] exact match in snippet view article find links to article

sources. It features what Muguraș Constantinescu calls "the most complex representation of Holy Sunday", with mention of her isolated and heavenly abode

Soliton (optics) (6,762 words) [view diff] exact match in snippet view article

the relationship between irradiance and electric field is (in the complex representation) I = | E | 2 2 η {\displaystyle I={\frac {|E|^{2}}{2\eta }}} where

Aharonov–Jones–Landau algorithm (2,506 words) [view diff] exact match in snippet view article find links to article

that of approximating the Markov trace. We wish to construct a complex representation τ {\displaystyle \tau } of T L n ( d ) {\displaystyle TL_{n}(d)}

Representation theory of finite groups (21,294 words) [view diff] no match in snippet view article find links to article

{\displaystyle G.} Definition. A quaternionic representation is a (complex) representation V , {\displaystyle V,} which possesses a G {\displaystyle G} –invariant

List of DIN standards (151 words) [view diff] exact match in snippet view article find links to article

Letter symbols Active DIN 5483-3 Time-dependent quantities – Part 3: Complex representation of sinusoidal time-dependent quantities Active DIN 5486 Notation

Hazel Pethig (991 words) [view diff] exact match in snippet view article find links to article

double the budget of the previous film. Gilliam wanted "a more complex representation of medieval life", and brought in Pethig and Charles Knode, to design

Sítio Morrinhos (1,619 words) [view diff] no match in snippet view article find links to article

explaining the museum at the entrance. Entrance to the Sítio Morrinhos complex. Representation of the original excavation of the Morumbi Museum. Door with ornament

Fiction (3,742 words) [view diff] exact match in snippet view article find links to article

world; it is instead a mental activity that involves constructing a complex representation of what a story portrays". The research of Weisberg and Goodstein

Equine intelligence (14,655 words) [view diff] exact match in snippet view article find links to article

especially in the late 2010s. These studies suggest that horses have a complex representation of the individuals they interact with, which has led to their consideration