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searching for Conjugate transpose 26 found (138 total)

alternate case: conjugate transpose

Complex Wishart distribution (1,761 words) [view diff] no match in snippet view article find links to article

samples and ( . ) H {\displaystyle (.)^{H}} is an Hermitian (complex conjugate) transpose. If the covariance of G is E [ G G H ] = M {\displaystyle \mathbb
Unitary operator (1,263 words) [view diff] exact match in snippet view article find links to article
circuit in quantum computing Unitary matrix – Complex matrix whose conjugate transpose equals its inverse Unitary transformation – Endomorphism preserving
Antihomomorphism (644 words) [view diff] exact match in snippet view article find links to article
involution, one can instead ask φ to be conjugate-linear, as in conjugate transpose, below. It is frequently the case that antiautomorphisms are involutions
Half-power point (693 words) [view diff] exact match in snippet view article find links to article
A ( θ o ) ∗ {\displaystyle \mathrm {A} (\theta _{o})^{*}} is the conjugate transpose of A {\displaystyle \mathrm {A} } at the reference angle θ o {\displaystyle
Weingarten function (1,054 words) [view diff] exact match in snippet view article find links to article
U_{ji}^{*}=(U^{\dagger })_{ij}} where U†{\displaystyle U^{\dagger }} is the conjugate transpose of U{\displaystyle U}, so one can interpret the above expression
Transpose of a linear map (2,716 words) [view diff] exact match in snippet view article find links to article
Composition operator – Linear operator in mathematics Hermitian adjoint – Conjugate transpose of an operator in infinite dimensions Riesz representation theorem –
Regressive discrete Fourier series (1,135 words) [view diff] exact match in snippet view article find links to article
{X}}=(W^{H}W)^{-1}W^{H}x\,} where X H {\displaystyle X^{H}} is the conjugate transpose of X {\displaystyle X} , and the smoothed signal is obtained from:
Jacobi method for complex Hermitian matrices (1,176 words) [view diff] exact match in snippet view article find links to article
})&n=q\end{cases}}\end{aligned}}} A Hermitian matrix, H is defined by the conjugate transpose symmetry property: H † = H   ⇔   H i , j = H j , i ∗ {\displaystyle
Generalized inverse (2,593 words) [view diff] exact match in snippet view article find links to article
}A)^{*}=A^{\mathrm {g} }A,} where ∗ {\displaystyle {}^{*}} denotes conjugate transpose. If A g {\displaystyle A^{\mathrm {g} }} satisfies the first condition
Estimation of signal parameters via rotational invariance techniques (4,022 words) [view diff] exact match in snippet view article find links to article
(top left) in descending order. The operator * denotes the complex-conjugate transpose (Hermitian transpose) Let us assume that T ≥ M {\textstyle T\geq
Two-state quantum system (6,568 words) [view diff] exact match in snippet view article find links to article
Multiplying by a Pauli matrix σ i {\displaystyle \sigma _{i}} and the conjugate transpose of the wavefunction, and subsequently expanding the product of two
Rayleigh–Ritz method (2,840 words) [view diff] exact match in snippet view article find links to article
{\displaystyle V^{*}AV} , where V ∗ {\displaystyle V^{*}} denotes the complex-conjugate transpose of V {\displaystyle V} Solve the eigenvalue problem V ∗ A V y i =
Unbounded operator (4,658 words) [view diff] exact match in snippet view article find links to article
this corresponds to the fact that the adjoint of a matrix is its conjugate transpose.) Note that this gives the definition of adjoint in terms of a transpose
Rank (linear algebra) (4,390 words) [view diff] exact match in snippet view article
{\displaystyle {\overline {A}}} denotes the complex conjugate of A and A∗ the conjugate transpose of A (i.e., the adjoint of A), then rank ⁡ ( A ) = rank ⁡ ( A ¯ )
Synthetic-aperture radar (10,945 words) [view diff] exact match in snippet view article find links to article
∗ {\displaystyle h_{\omega _{1},\omega _{2}}^{*}} is the complex conjugate transpose of the impulse response of the FIR filter, a ω 1 , ω 2 {\displaystyle
Block matrix (4,772 words) [view diff] exact match in snippet view article find links to article
and the same equation holds with the transpose replaced by the conjugate transpose. A special form of matrix transpose can also be defined for block
Wi-Fi positioning system (3,276 words) [view diff] exact match in snippet view article find links to article
\mathbf {X} ^{H}} (where X H {\displaystyle \mathbf {X} ^{H}} is the conjugate transpose of X {\displaystyle \mathbf {X} } ) and using the vectors corresponding
Characteristic function (probability theory) (5,267 words) [view diff] exact match in snippet view article
{Re} (t^{*}\!X))\right],} where t ∗ {\textstyle t^{*}} is the conjugate transpose of the vector   t {\textstyle t} , If X(s) is a stochastic process
CP violation (7,484 words) [view diff] exact match in snippet view article find links to article
denoted as U u {\displaystyle U^{u}} , can be multiplied with the conjugate transpose of the U matrix for down-type quarks, denoted as U d + {\displaystyle
Photon polarization (4,946 words) [view diff] exact match in snippet view article find links to article
† {\displaystyle U^{\dagger }} is the adjoint of U, the complex conjugate transpose of the matrix. The fraction of energy that emerges from the crystal
Classical group (7,775 words) [view diff] exact match in snippet view article find links to article
n complex matrix and g ∗ {\displaystyle g^{*}} is defined as the conjugate transpose of g, what physicists call g † {\displaystyle g^{\dagger }} . As
Determinant (14,131 words) [view diff] exact match in snippet view article find links to article
conjugate of a complex matrix (which is also the determinant of its conjugate transpose) is the complex conjugate of its determinant, and for integer matrices:
Theoretical and experimental justification for the Schrödinger equation (6,109 words) [view diff] exact match in snippet view article find links to article
† {\displaystyle U^{\dagger }} is the adjoint of U, the complex conjugate transpose of the matrix. This implies that a transformation that conserves
Feynman diagram (16,026 words) [view diff] no match in snippet view article find links to article
k x {\displaystyle A_{kx}^{-1}=e^{-ikx}\,} which is the complex conjugate-transpose, up to factors of 2π. On a finite volume lattice, the determinant
MRI artifact (8,062 words) [view diff] exact match in snippet view article find links to article
{\displaystyle E_{0}=UFC} and E 0 H {\displaystyle E_{0}^{H}} is the conjugate transpose of E 0 {\displaystyle E_{0}} . We have discussed the notion of separating
Quantum computational chemistry (3,340 words) [view diff] exact match in snippet view article find links to article
specific quantum state and ⟨ G | {\displaystyle \langle G|} is its conjugate transpose. The efficiency of this method comes from the fact that the unitary