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alternate case: transformation matrix
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b_{n}\rbrack _{C}\end{bmatrix}}} This matrix is referred to as the basis transformation matrix from B to C. It can be regarded as an automorphism over Fn{\displaystyleHomography (3,558 words) [view diff] no match in snippet view article find links to article
In projective geometry, a homography is an isomorphism of projective spaces, induced by an isomorphism of the vector spaces from which the projective spacesLinear transformation in rotating electrical machines (901 words) [view diff] exact match in snippet view article find links to article
[new Variable] = [transformation matrix][old variable] [old Variable] = [transformation matrix][new variable] Transformation matrix is a matrix containingDirect-quadrature-zero transformation (4,319 words) [view diff] exact match in snippet view article find links to article
component). The power-invariant, right-handed, uniformly-scaled Clarke transformation matrix is KC=23⋅[1−12−12032−32121212]{\displaystyle K_{C}={\sqrt {\fracForward kinematics (1,115 words) [view diff] exact match in snippet view article find links to article
where i−1Ti(θi){\displaystyle {}^{i-1}T_{i}(\theta _{i})} is the transformation matrix from the frame of link i{\displaystyle i} to link i−1{\displaystyleFMLLR (1,552 words) [view diff] exact match in snippet view article find links to article
to speaker adapted features by a multiplication operation with a transformation matrix. In some literature, fMLLR is also known as the Constrained MaximumBogoliubov transformation (1,838 words) [view diff] exact match in snippet view article find links to article
Boson Fermion Transformation matrix U=(uvv∗u∗){\displaystyle U={\begin{pmatrix}u&v\\v^{*}&u^{*}\end{pmatrix}}} U=(uv−v∗u∗){\displaystyleLDraw (1,221 words) [view diff] exact match in snippet view article find links to article
example includes a subfile. It specifies the file's path and a transformation matrix that should be applied to it, as well as its color (where 16 meansTensor (8,995 words) [view diff] exact match in snippet view article find links to article
transformations, with one transformation law for each index. If the transformation matrix of an index is the inverse matrix of the basis transformation, thenDigital image processing (4,707 words) [view diff] exact match in snippet view article find links to article
matrix. This allows the coordinate to be multiplied by an affine-transformation matrix, which gives the position that the pixel value will be copied toMode 7 (1,138 words) [view diff] exact match in snippet view article find links to article
However, many games create additional effects by setting a different transformation matrix for each scanline. In this way, pseudo-perspective, curved surfaceDerivations of the Lorentz transformations (10,516 words) [view diff] exact match in snippet view article find links to article
{\displaystyle \beta =-v\gamma \,.} Combining these two gives α = γ and the transformation matrix has simplified, [t′x′]=[γδ−vγγ][tx].{\displaystyleSpecular reflection (1,759 words) [view diff] exact match in snippet view article find links to article
where R{\displaystyle \mathbf {R} } is the so-called Householder transformation matrix, defined as: R=I−2d^nd^nT;{\displaystyle \mathbf {R} =\mathbf {I}YCoCg (1,396 words) [view diff] exact match in snippet view article find links to article
system as (1/4, 1/2, −1/4). However, since the coefficients of the transformation matrix are simple binary fractions, it is easier to compute than otherRelative luminance (865 words) [view diff] exact match in snippet view article find links to article
smallest, and normally form the middle row of the RGB-to-XYZ color transformation matrix. For nonlinear gamma-compressed R′G′B′ color spaces as typicallyHaar wavelet (4,139 words) [view diff] exact match in snippet view article find links to article
transform is derived from the Haar matrix. An example of a 4×4 Haar transformation matrix is shown below. H4=12[111111−1−12−200002−2]{\displaystyle H_{4}={\fracLocal pixel grouping (765 words) [view diff] exact match in snippet view article find links to article
denoted by Ω x ¯ {\displaystyle \Omega _{\overline {x}}} , the PCA transformation matrix P x ¯ {\displaystyle P_{\overline {x}}} can be obtained. Apply PDeformation (physics) (2,791 words) [view diff] exact match in snippet view article
that does not involve any shear, extension or compression. The transformation matrix F is proper orthogonal in order to allow rotations but no reflectionsKalman decomposition (721 words) [view diff] exact match in snippet view article find links to article
{\hat {D}}=D}, where T−1{\displaystyle \,T^{-1}} is the coordinate transformation matrix defined as T−1=[Tro¯TroTro¯Tr¯o]{\displaystyle \Rotation operator (quantum mechanics) (1,490 words) [view diff] exact match in snippet view article
A′=PAP−1{\displaystyle A'=PAP^{-1}} where P{\displaystyle P} is the basis transformation matrix. If the vectors b{\displaystyle b} respectively c{\displaystyleGalilean transformation (2,244 words) [view diff] exact match in snippet view article find links to article
The identity component is denoted SGal(3). Let m represent the transformation matrix with parameters v, R, s, a: {m:R=I3},{\displaystyle \{m:R=I_{3}\}Normal (geometry) (2,367 words) [view diff] exact match in snippet view article
resulting surface from the original normals. Specifically, given a 3×3 transformation matrix M,{\displaystyle \mathbf {M} ,} we can determine the matrix W{\displaystyleAdobe RGB color space (1,807 words) [view diff] exact match in snippet view article find links to article
chromatic adaptation to CIE Standard Illuminant D50 using the Bradford transformation matrix), the input image's normalized XYZ tristimulus values are transformed2D computer graphics (3,728 words) [view diff] exact match in snippet view article find links to article
(px, py, pz, 1) would need to be multiplied with this projective transformation matrix: Sv=[vx0000vy0000vz00001].{\displaystyle S_{v}={\begin{bmatrix}Quantum Fourier transform (2,371 words) [view diff] exact match in snippet view article find links to article
N=4=22{\displaystyle N=4=2^{2}} and phase ω=i{\displaystyle \omega =i} the transformation matrix is F4=12[11111i−1−i1−11−11−i−1i]{\displaystyle F_{4}={\fracOrthotropic material (3,840 words) [view diff] exact match in snippet view article find links to article
}\\A_{31}&A_{32}&A_{33}\end{bmatrix}}~.} In Voigt notation, the transformation matrix for the stress tensor can be expressed as a 6×6{\displaystyle 6\timesPDF (9,152 words) [view diff] exact match in snippet view article find links to article
properties, of which some of the most important are: The current transformation matrix (CTM), which determines the coordinate system The clipping pathArticulated body pose estimation (3,177 words) [view diff] exact match in snippet view article find links to article
that can be transformed to the world coordinate system via a 4×4 transformation matrix Tl{\displaystyle T_{l}}, Tl=Tpar(l)Rl,{\displaystyle T_{l}=T_{\operatornameMighty Orbots (2,978 words) [view diff] exact match in snippet view article find links to article
(in some unnamed location) on Earth, but when needed, he uses a transformation matrix to change his regular lab clothes – called an Omni-Suit – into theMetafont (3,196 words) [view diff] no match in snippet view article find links to article
Transform: an affine transformation of the plane, equivalent to a "(transformation) matrix" in PostScript/PDF. Pen: a convex polygon, representing the shapeNeutral particle oscillation (6,110 words) [view diff] exact match in snippet view article find links to article
example) the transformation matrix is the PMNS matrix, and for quarks it is the CKM matrix. The off diagonal terms of the transformation matrix representGreatest common divisor (4,604 words) [view diff] exact match in snippet view article find links to article
original numbers. The quotients are collected into a small 2-by-2 transformation matrix (a matrix of single-word integers) to reduce the original numbersBoundary problem (spatial analysis) (2,389 words) [view diff] exact match in snippet view article
squares theory utilizes time-series modeling that needs an arbitrary transformation matrix to fit the multidirectional dependencies and multiple boundary unitsTissot's indicatrix (2,513 words) [view diff] exact match in snippet view article find links to article
differences. Once these values are computed, SVD can be applied to each transformation matrix to extract the local distortion information. Remember that, becauseCo-stardom network (859 words) [view diff] exact match in snippet view article find links to article
the collaboration graph of film actors can be constructed using a transformation matrix of the bipartite graph interaction matrix. The Internet Movie DatabaseWigner rotation (5,729 words) [view diff] exact match in snippet view article find links to article
X′=B(v)X{\displaystyle X'=B(\mathbf {v} )X} where the coordinates and transformation matrix are compactly expressed in block matrix formMolecular symmetry (3,908 words) [view diff] exact match in snippet view article find links to article
Transformation matrix symmetry operationsEigenmoments (3,096 words) [view diff] exact match in snippet view article find links to article
X=[x_{1},...,x_{n}]^{T}\in {\mathcal {R}}^{n\times m}} a fixed transformation matrix which transforms the signal into the moment space, and W = [ w 1Color appearance model (2,367 words) [view diff] exact match in snippet view article find links to article
ICC profiles circumvent this shortcoming by using the Bradford transformation matrix to the LMS color space (which had first appeared in the LLAB colorQuaternions and spatial rotation (10,277 words) [view diff] exact match in snippet view article find links to article
that conjugation by q and by −q must produce the same rotational transformation matrix. That fact is confirmed algebraically by noting that the conjugationIndex of physics articles (M) (2,447 words) [view diff] case mismatch in snippet view article
hypothesis Mathematics of general relativity Mathias Fink Mathieu transformation Matrix-assisted laser desorption/ionization Matrix isolation Matrix mechanicsThe Context Group (1,268 words) [view diff] no match in snippet view article find links to article
Oakman, Douglas E. The Radical Jesus, the Bible, and the Great Transformation. Matrix. Eugene, OR: Cascade Books, 2021. Pilch, John J., editor. SocialHarris affine region detector (6,556 words) [view diff] exact match in snippet view article find links to article
above, the square-root of the second-moment matrix defines the transformation matrix that generates the normalized reference frame. We thus need to saveSymmetrical components (2,255 words) [view diff] exact match in snippet view article find links to article
sometimes appears in older references books. It can be seen that the transformation matrix A above is a DFT matrix, and as such, symmetrical components canPolarization (waves) (9,196 words) [view diff] exact match in snippet view article
components is most easily characterized in the form of a complex 2×2 transformation matrix J known as a Jones matrix: e′=Je.{\displaystyle \mathbf {e'} =\mathbfFunction of a real variable (3,333 words) [view diff] exact match in snippet view article find links to article
about the origin. Similarly, in special relativity, the Lorentz transformation matrix for a pure boost (without rotations): Λ(β)=[11−β2−β1−β200−β1−β2CP violation (6,771 words) [view diff] exact match in snippet view article find links to article
{C_{3}} &\mathbf {A_{3}} \end{bmatrix}},} and it has the same unitary transformation matrix U with M. Besides, parameters in M2{\displaystyle \mathbf {M^{2}}Principal component analysis (13,985 words) [view diff] exact match in snippet view article find links to article
We want to find (∗){\displaystyle (\ast )} a d × d orthonormal transformation matrix P so that PX has a diagonal covariance matrix (that is, PX is aRelativistic mechanics (4,822 words) [view diff] exact match in snippet view article find links to article
one simply multiplies the velocity four-vector by the Lorentz transformation matrix between the two reference frames. The mass of an object as measuredGeometric phase (3,857 words) [view diff] exact match in snippet view article find links to article
non-adiabatic transitions: Derivation of the general adiabatic-diabatic transformation matrix, Mol. Phys. 40, 1011 (1980); M. Baer, Existence of diabetic potentialsList of relativistic equations (1,506 words) [view diff] exact match in snippet view article find links to article
four-vector and the transformed four-vector, respectively, and Λ is the transformation matrix, which, for a given transformation is the same for all four-vectorsJohn J. Uicker (986 words) [view diff] exact match in snippet view article find links to article
retirement in 2007. In this role, he became the pioneering researcher on transformation matrix methods of linkage analysis, and was the first to advise on theirLorentz transformation (13,138 words) [view diff] exact match in snippet view article find links to article
row index. The second index corresponds to the column index. The transformation matrix is universal for all four-vectors, not just 4-dimensional spacetimeSingular value decomposition (13,007 words) [view diff] exact match in snippet view article find links to article
after the rotation, and where J{\displaystyle J} is the Jacobi transformation matrix that zeroes these off-diagonal elements. The iterations proceedsFour-vector (7,263 words) [view diff] exact match in snippet view article find links to article
defined as a quantity which transforms according to the Lorentz transformation matrix Λ: A′=ΛA{\displaystyle \mathbf {A} '={\boldsymbol {\Lambda }}\mathbfGyrovector space (3,905 words) [view diff] no match in snippet view article find links to article
of v/c in the representation that is used in the section Lorentz transformation#Matrix forms. The matrix entries depend on the components of the 3-velocitySpecial relativity (20,736 words) [view diff] exact match in snippet view article find links to article
four-velocity and four-acceleration are simpler by means of the Lorentz transformation matrix. The four-gradient of a scalar field φ transforms covariantly ratherPoint-set registration (8,779 words) [view diff] exact match in snippet view article find links to article
transformation may be decomposed into a translation vector and a transformation matrix: T(m)=Am+t{\displaystyle T(m)=\mathbf {A} m+\mathbf {t} } The matrixDiabatic (3,678 words) [view diff] exact match in snippet view article find links to article
non-adiabatic transitions derivation of the general adiabatic-diabatic transformation matrix". Molecular Physics. 40 (4). Informa UK Limited: 1011–1013. doi:10Forward–backward algorithm (5,344 words) [view diff] exact match in snippet view article find links to article
{{\hat {f}}_{0:t-1}} \mathbf {T} \mathbf {O_{t}} } Notice that the transformation matrix is also transposed, but in our example the transpose is equal toJenkins–Traub algorithm (3,420 words) [view diff] exact match in snippet view article find links to article
_{m=1}^{n-1}(H_{m-1}-a_{m}H_{n-1})X^{m}-a_{0}H_{n-1}\,,} the resulting transformation matrix is A=(00…0−a010…0−a101…0−a2⋮⋮⋱⋮⋮00…1−an−1).{\displaystyleFeynman diagram (14,939 words) [view diff] exact match in snippet view article find links to article
the value of the new integral is given by the determinant of the transformation matrix. If yi=Aijxj,{\displaystyle y_{i}=A_{ij}x_{j}\,,} thenFilter bank (5,766 words) [view diff] exact match in snippet view article find links to article
hj(z){\displaystyle h_{j}(z)} through a K×N{\displaystyle K\times N} transformation matrix Wij(z){\displaystyle W_{ij}(z)} as: bi(z)=∑j=1NWij(z)hj(z),i=1,Relativistic angular momentum (9,116 words) [view diff] exact match in snippet view article find links to article
is indeed a tensor, the components change according to a Lorentz transformation matrix Λ, as illustrated in the usual way by tensor index notationHyperdeterminant (2,900 words) [view diff] exact match in snippet view article find links to article
special case of its invariance in the case where the special linear transformation matrix is an identity matrix plus a matrix with only one non-zero off-diagonalLanczos algorithm (7,580 words) [view diff] exact match in snippet view article find links to article
iteration of the Lanczos algorithm produces another column of the final transformation matrix V{\displaystyle V}, whereas an iteration of Householder producesVelocity-addition formula (9,892 words) [view diff] exact match in snippet view article find links to article
\quad V_{1}=v_{1}/{\sqrt {1-v_{1}^{2}}}=v_{1}\gamma .} The Lorentz transformation matrix that converts velocities measured in the ship frame to the shoreCayley–Hamilton theorem (10,130 words) [view diff] exact match in snippet view article find links to article
\mathbb {Q} [\alpha _{1},\ldots ,\alpha _{k}]} If we call this transformation matrix A{\displaystyle A}, then we can find the minimal polynomial by applyingCoxeter notation (6,399 words) [view diff] exact match in snippet view article find links to article
of a,b,{\displaystyle a,b,} and c{\displaystyle c} is unity, the transformation matrix can be expressed as: A=[1−2a2−2ab−2ac−2ab1−2b2−2bc−2ac−2bc1−2c2]{\displaystyleComputation of cyclic redundancy checks (4,849 words) [view diff] exact match in snippet view article find links to article
hardware for any CRC polynomial by factorizing the State Space transformation matrix needed to compute the remainder into two simpler Toeplitz matricesProper reference frame (flat spacetime) (9,054 words) [view diff] exact match in snippet view article
frame and Λ {\displaystyle {\boldsymbol {\Lambda }}} the Lorentz transformation matrix. This matrix can be replaced by the proper time dependent tetradsMultirate filter bank and multidimensional directional filter banks (4,875 words) [view diff] exact match in snippet view article find links to article
{\displaystyle h_{j}(z)} through a K × N {\displaystyle K\times N} transformation matrix W i j ( z ) {\displaystyle W_{ij}(z)} as b i ( z ) = ∑ j = 1 N WGun dynamics (4,548 words) [view diff] exact match in snippet view article find links to article
forces to the shot using Euler's dynamical equations. Update the transformation matrix. Calculate new pitch and yaw angles. T E Simkins, Parametric Resonance