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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 F n {\displaystyleHomography (3,641 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 containingReaction coordinate (579 words) [view diff] exact match in snippet view article find links to article
individual variables (xi) contracted into one: CV = A{xi}, with A a transformation matrix. The collective variables reduce many variables to a lower-dimensionalDirect-quadrature-zero transformation (4,674 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 K C = 2 3 ⋅ [ 1 − 1 2 − 1 2 0 3 2 − 3 2 1 2 1 2 1 2 ] {\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 MaximumForward kinematics (1,310 words) [view diff] exact match in snippet view article find links to article
1 T i ( θ i ) {\displaystyle {}^{i-1}T_{i}(\theta _{i})} is the transformation matrix from the frame of link i {\displaystyle i} to link i − 1 {\displaystyleTensor (9,352 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, thenSpecular reflection (1,776 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 − 2 d ^ n d ^ n T ; {\displaystyle \mathbf {R}Digital image processing (5,045 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 toBogoliubov transformation (2,761 words) [view diff] exact match in snippet view article find links to article
Boson Fermion Transformation matrix U = ( u v v ∗ u ∗ ) {\displaystyle U={\begin{pmatrix}u&v\\v^{*}&u^{*}\end{pmatrix}}} U = ( u v − v ∗ u ∗ ) {\displaystyleMode 7 (1,155 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 surfaceLDraw (1,805 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 meansDerivations of the Lorentz transformations (11,515 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 ′ ] = [ γ δ − v γ γ ] [ t x ] . {\displaystyleYCoCg (1,395 words) [view diff] exact match in snippet view article find links to article
(1/4, 1/2, −1/4). However, since the coefficients of the transformation matrix are simple binary fractions, it is easier to compute than otherLocal 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 PRelative luminance (1,048 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 (4,518 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. H 4 = 1 2 [ 1 1 1 1 1 1 − 1 − 1 2 − 2 0 0 0 0 2Rotation operator (quantum mechanics) (1,682 words) [view diff] exact match in snippet view article
{\displaystyle A'=PAP^{-1}} where P {\displaystyle P} is the basis transformation matrix. If the vectors b {\displaystyle b} respectively c {\displaystyleGalilean transformation (2,572 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 = I 3 } , {\displaystyle \{m:R=I_{3}\}Kalman decomposition (837 words) [view diff] exact match in snippet view article find links to article
{D}}=D} , where T − 1 {\displaystyle \,T^{-1}} is the coordinate transformation matrix defined as T − 1 = [ T r o ¯ T r o T r o ¯ T r ¯ o ] {\displaystyleDeformation (physics) (3,071 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 reflectionsNormal (geometry) (2,678 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 WAdobe RGB color space (1,876 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 transformedArticulated body pose estimation (3,192 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 T l {\displaystyle T_{l}} , T l = T par ( l ) R l , {\displaystyleMighty Orbots (2,982 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 theBoundary 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 units2D computer graphics (3,988 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: S v = [ v x 0 0 0 0 v y 0 0 0 0 v z 0 0 0 0 1 ] . {\displaystyleGreatest common divisor (4,731 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 numbersPDF (9,369 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 pathMetafont (3,205 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 shapeTissot's indicatrix (2,695 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, becauseNeutral particle oscillation (6,774 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 representLorentz transformation (14,773 words) [view diff] exact match in snippet view article find links to article
=1/{\sqrt {1-{\boldsymbol {\beta }}^{2}}}} . The determinant of the transformation matrix is +1 and its trace is 2 ( 1 + γ ) {\displaystyle 2(1+\gamma )}Co-stardom network (853 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 DatabaseColor 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 colorQuantum Fourier transform (3,302 words) [view diff] exact match in snippet view article find links to article
{\displaystyle N=4=2^{2}} and phase ω = i {\displaystyle \omega =i} the transformation matrix is F 4 = 1 2 [ 1 1 1 1 1 i − 1 − i 1 − 1 1 − 1 1 − i − 1 i ] {\displaystyleIndex 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. SocialOrthotropic material (5,014 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 {\displaystyleQuaternions and spatial rotation (11,744 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 conjugationFunction of a real variable (3,563 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 ) = [ 1 1 − β 2 − βWigner rotation (6,413 words) [view diff] exact match in snippet view article find links to article
X {\displaystyle X'=B(\mathbf {v} )X} where the coordinates and transformation matrix are compactly expressed in block matrix form X ′ = [ c t ′ r ′ ]Molecular symmetry (5,722 words) [view diff] exact match in snippet view article find links to article
analysed separately from all the other atoms in the molecule. The transformation matrix for these two toms alone during the molecular C2 rotation is [ 5Harris affine region detector (7,037 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 saveCP violation (7,650 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 M 2 {\displaystyle \mathbf {M^{2}}Symmetrical components (2,415 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) (9,416 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 ′ = J e . {\displaystyle \mathbf {e'}Geometric phase (4,015 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 potentialsPrincipal component analysis (14,450 words) [view diff] exact match in snippet view article find links to article
want to find ( ∗ ) {\displaystyle (\ast )} a d × d orthonormal transformation matrix P so that PX has a diagonal covariance matrix (that is, PX is aEuler–Rodrigues formula (3,577 words) [view diff] exact match in snippet view article find links to article
while his formula (4-64) is identical symbol-by-symbol to the transformation matrix given here, using his definitions for α {\displaystyle \alpha }Relativistic mechanics (5,027 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 measuredSingular value decomposition (14,067 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 proceedsGyrovector space (4,090 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-velocityPoint-set registration (9,086 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 ) = A m + t {\displaystyle T(m)=\mathbf {A} m+\mathbf {t}John J. Uicker (1,020 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 theirSpecial relativity (24,474 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 ratherComputation of cyclic redundancy checks (5,698 words) [view diff] exact match in snippet view article find links to article
within r {\displaystyle r} bit times. It is possible to find a transformation matrix T {\displaystyle T} which gives that the form of a companion matrixFeynman diagram (15,967 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 y i = A i j x j , {\displaystyle y_{i}=A_{ij}x_{j}\,,} thenFour-vector (8,365 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 ′ = Λ A {\displaystyle \mathbf {A} '={\boldsymbol {\LambdaDiabatic representation (4,002 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:10Jenkins–Traub algorithm (3,635 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 = ( 0 0 … 0 − a 0 1 0 … 0 − a 1 0 1 … 0 − a 2 ⋮ ⋮ ⋱ ⋮ ⋮ 0 0Filter bank (5,926 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 NHyperdeterminant (2,990 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 (8,287 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 producesRelativistic angular momentum (10,985 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 notation M ′Velocity-addition formula (11,184 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 (11,245 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 byRotation formalisms in three dimensions (9,997 words) [view diff] exact match in snippet view article find links to article
This is called the Euler–Rodrigues formula for the transformation matrix A {\displaystyle \mathbf {A} } We will consider the x-conventionCoxeter notation (6,423 words) [view diff] exact match in snippet view article find links to article
b , {\displaystyle a,b,} and c {\displaystyle c} is unity, the transformation matrix can be expressed as: A = [ 1 − 2 a 2 − 2 a b − 2 a c − 2 a b 1 −Jacobi rotation (3,145 words) [view diff] case mismatch in snippet view article find links to article
T} being successfully diagonalized. Givens rotation Householder transformation Matrix similarity Kinayman, Noyan; Aksun, M. I. (2005). Modern MicrowaveProper reference frame (flat spacetime) (9,055 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 (4,934 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 WUniversal multiport interferometer (4,174 words) [view diff] exact match in snippet view article find links to article
replaced by the corresponding 2 × 2 {\textstyle 2\times 2} beam transformation matrix elements. Hence, it represents a modified Givens rotation matrixGun dynamics (4,454 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