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Matrix normal distribution
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{\Sigma }}){\text{ with }}i\in \{1,\ldots ,n\}} . When defining the n × p matrix X {\displaystyle \mathbf {X} } for which the ith row is Y i {\displaystyleMatrix gamma distribution (194 words) [view diff] no match in snippet view article find links to article
{\displaystyle p\times p} matrix) Support X {\displaystyle \mathbf {X} } positive-definite real p × p {\displaystyle p\times p} matrix PDF | Σ | − α β p αMatrix t-distribution (1,309 words) [view diff] no match in snippet view article find links to article
{\displaystyle \mathbf {M} } location (real n × p {\displaystyle n\times p} matrix) Ω {\displaystyle {\boldsymbol {\Omega }}} scale (positive-definite realInverse matrix gamma distribution (152 words) [view diff] no match in snippet view article find links to article
{\displaystyle p\times p} matrix) Support X {\displaystyle \mathbf {X} } positive-definite real p × p {\displaystyle p\times p} matrix PDF | Ψ | α β p α ΓRabies virus (4,574 words) [view diff] no match in snippet view article find links to article
highly conserved. These genes code for nucleoprotein (N), phosphoprotein (P), matrix protein (M), glycoprotein (G) and the viral RNA polymerase (L). The completeMatrix multiplication (6,581 words) [view diff] no match in snippet view article find links to article
from a collection of matrices. If A is an m × n matrix and B is an n × p matrix, A = ( a 11 a 12 ⋯ a 1 n a 21 a 22 ⋯ a 2 n ⋮ ⋮ ⋱ ⋮ a m 1 a m 2 ⋯ a m nLU decomposition (8,625 words) [view diff] no match in snippet view article find links to article
we have matrix B, where B is an n-by-p matrix, so that we are trying to find a matrix X (also a n-by-p matrix): A X = L U X = B . {\displaystyle AX=LUX=BSchur complement (2,901 words) [view diff] no match in snippet view article find links to article
invertible, then the Schur complement of the block D of the matrix M is the p × p matrix defined by M / D := A − B D − 1 C . {\displaystyle M/D:=A-BD^{-1}C.} IfNucleon (3,049 words) [view diff] exact match in snippet view article find links to article
nucleon–nucleon forces through the 6 quark bag s-channel mechanism using the P-matrix. The chiral bag model merges the MIT bag model and the skyrmion model.List of things named after James Joseph Sylvester (517 words) [view diff] no match in snippet view article find links to article
≤ rank(AB) on the rank of the product of an m × n matrix A and an n × p matrix B. Sylver coinage, a number-theoretic game. Sylvester's bijection, a correspondencePrincipal component analysis (14,851 words) [view diff] no match in snippet view article find links to article
{\displaystyle \mathbf {T} =\mathbf {X} \mathbf {W} } where W is a p-by-p matrix of weights whose columns are the eigenvectors of XTX. The transpose ofPartial least squares regression (2,972 words) [view diff] no match in snippet view article find links to article
n\times m} matrix of predictors Y is an n × p {\displaystyle n\times p} matrix of responses T and U are n × ℓ {\displaystyle n\times \ell } matricesNormal-inverse-Wishart distribution (1,077 words) [view diff] no match in snippet view article find links to article
{\displaystyle {\boldsymbol {y}}} is an n × p {\displaystyle n\times p} matrix and y i {\displaystyle {\boldsymbol {y_{i}}}} (of length p {\displaystyleDevelopmental bias (3,696 words) [view diff] exact match in snippet view article find links to article
measured and analyzed through a phenotypic variance-covariance matrix (P-matrix) which summarizes the dimensions of phenotypic variability and the mainMultivariate random variable (3,442 words) [view diff] no match in snippet view article find links to article
having p {\displaystyle p} elements) is the n × p {\displaystyle n\times p} matrix: p.336 where again the matrix expectation is taken element-by-elementConjugate transpose (1,702 words) [view diff] no match in snippet view article find links to article
matrix A {\displaystyle \mathbf {A} } and any n × p {\displaystyle n\times p} matrix B {\displaystyle {\boldsymbol {B}}} . Note that the order of the factorsMeasles virus (1,908 words) [view diff] no match in snippet view article find links to article
of the virus codes 6 main proteins Nucleoprotein (N), Phosphoprotein (P), Matrix protein (M), Fusion protein (F), Hemagglutinin (H), and Large ProteinChandipura virus (1,627 words) [view diff] no match in snippet view article find links to article
for five polypeptides, namely, nucleocapsid protein N, phosphoprotein P, matrix protein M, glycoprotein G and large protein L in five monocistronic mRNAsRybicki Press algorithm (767 words) [view diff] no match in snippet view article find links to article
lower half is also that of some possibly different rank p {\displaystyle p} matrix) and so can be embedded into a larger band matrix (see figure on the right)Growth curve (statistics) (773 words) [view diff] no match in snippet view article
design matrix with rank(C) + p ≤ n and let Σ be a positive-definite p×p matrix. Then X = A B C + Σ 1 / 2 E {\displaystyle X=ABC+\Sigma ^{1/2}E} definesConformable matrix (209 words) [view diff] no match in snippet view article find links to article
of the right matrix. That is, if A is an m × n matrix and B is an s × p matrix, then n needs to be equal to s for the matrix product AB to be definedMatrix (mathematics) (13,579 words) [view diff] no match in snippet view article
right matrix. If A is an m×n matrix and B is an n×p matrix, then their matrix product AB is the m×p matrix whose entries are given by the dot product of theMinor (linear algebra) (2,729 words) [view diff] no match in snippet view article
product of two matrices. Suppose that A is an m × n matrix, B is an n × p matrix, I is a subset of {1, ..., m} with k elements and J is a subset of {1,Multivariate t-distribution (5,719 words) [view diff] no match in snippet view article find links to article
respectively, the matrix Σ {\displaystyle \mathbf {\Sigma } \,} is a p × p matrix, and μ {\displaystyle {\boldsymbol {\mu }}} is a constant vector then theOrdinary least squares (9,135 words) [view diff] no match in snippet view article find links to article
and X {\displaystyle \mathbf {X} } is an n × p {\displaystyle n\times p} matrix of regressors, also sometimes called the design matrix, whose row i {\displaystyleWald test (2,232 words) [view diff] no match in snippet view article find links to article
on the P parameters is expressed with a Q × P {\displaystyle Q\times P} matrix R: H 0 : R θ = r {\displaystyle H_{0}:R\theta =r} H 1 : R θ ≠ r {\displaystyleIndiana vesiculovirus (1,995 words) [view diff] no match in snippet view article find links to article
five major proteins: G protein (G), large protein (L), phosphoprotein (P), matrix protein (M) and nucleoprotein (N): The VSIV G protein, aka VSVG, enablesMatrix multiplication algorithm (4,483 words) [view diff] no match in snippet view article find links to article
multiplication is that if C = AB for an n × m matrix A and an m × p matrix B, then C is an n × p matrix with entries c i j = ∑ k = 1 m a i k b k j . {\displaystyleOrthogonal polynomials (2,079 words) [view diff] no match in snippet view article find links to article
+a_{1}X+a_{0}I_{p}} where X {\displaystyle X} is a p × p {\displaystyle p\times p} -matrix and I p {\displaystyle I_{p}} is the identity matrix. Quantum polynomialsRabies (9,473 words) [view diff] no match in snippet view article find links to article
genes whose order is highly conserved: nucleoprotein (N), phosphoprotein (P), matrix protein (M), glycoprotein (G), and the viral RNA polymerase (L). To enterCoefficient of determination (6,216 words) [view diff] no match in snippet view article find links to article
R^{\otimes }} ('R-outer'). This p {\displaystyle p} times p {\displaystyle p} matrix is given by R ⊗ = ( X ′ y ~ 0 ) ( X ′ y ~ 0 ) ′ ( X ′ X ) − 1 ( y ~ 0Computational complexity of mathematical operations (1,576 words) [view diff] no match in snippet view article find links to article
m} matrix, and one m × p {\displaystyle m\times p} matrix One n × p {\displaystyle n\times p} matrix Schoolbook matrix multiplication O ( n m p ) {\displaystyleConfidence region (1,284 words) [view diff] no match in snippet view article find links to article
vector containing observed values of the dependent variable, X is an n-by-p matrix of observed values of independent variables (which can represent a physicalWishart distribution (4,194 words) [view diff] no match in snippet view article find links to article
\mathbf {X} \sim {\mathcal {W}}_{p}({\mathbf {V} },m)} — and C is a q × p matrix of rank q, then C X C T ∼ W q ( C V C T , m ) . {\displaystyle \mathbfLeverage (statistics) (2,157 words) [view diff] no match in snippet view article
distance (proof). Specifically, for some n × p {\displaystyle n\times p} matrix X {\displaystyle \mathbf {X} } , the squared Mahalanobis distance of xRestricted isometry property (862 words) [view diff] no match in snippet view article find links to article
available at the Edinburgh Compressed Sensing RIC page. Let A be an m × p matrix and let 1 ≤ s ≤ p be an integer. Suppose that there exists a constant δFactor analysis (10,024 words) [view diff] no match in snippet view article find links to article
(a,b)} -term of the correlation matrix (a p × p {\displaystyle p\times p} matrix derived as the product of the p × N {\displaystyle p\times N} matrix ofSparse approximation (2,212 words) [view diff] no match in snippet view article find links to article
{\displaystyle D} is an underdetermined m × p {\displaystyle m\times p} matrix ( m < p ) {\displaystyle (m<p)} and x ∈ R m , α ∈ R p {\displaystyle x\inMatrix variate beta distribution (1,005 words) [view diff] no match in snippet view article find links to article
{\displaystyle H} is a random orthogonal p × p {\displaystyle p\times p} matrix which is independent of U {\displaystyle U} , then H U H T ∼ B p ( aAvian metapneumovirus (1,233 words) [view diff] no match in snippet view article find links to article
" from the 3′ to 5′ ends encoding nucleoprotein (N), phosphoprotein (P), matrix protein (M),fusion protein (F), […]" second Matrix (M2) "small hydrophobicNon-negative matrix factorization (7,780 words) [view diff] no match in snippet view article find links to article
the original matrix. For example, if V is an m × n matrix, W is an m × p matrix, and H is a p × n matrix then p can be significantly less than both m andMatrix calculus (7,065 words) [view diff] no match in snippet view article find links to article
∂ y ∂ X {\displaystyle {\frac {\partial y}{\partial \mathbf {X} }}} q×p matrix ∂ y ∂ X {\displaystyle {\frac {\partial \mathbf {y} }{\partial \mathbfViral hemorrhagic septicemia (4,058 words) [view diff] no match in snippet view article find links to article
3′-N-P-M-G-NV-L-5′, nucleocapsid protein (N), polymerase-associated phosphoprotein (P), matrix protein (M), surface glycoprotein (G), a unique non-virion protein (NV)List of K-pop albums on the Billboard charts (4,978 words) [view diff] no match in snippet view article find links to article
2015-11-14 f(x) 4 Walls 7 1 2015-11-14 IU Chat-Shire 19 1 2015-12-05 B.A.P Matrix 15 1 2015-12-19 BTS The Most Beautiful Moment In Life, Part 2 1 2 (R) 5Buckingham π theorem (5,492 words) [view diff] no match in snippet view article find links to article
\dots ,\log {\pi _{p}})} . We construct an n × p {\displaystyle n\times p} matrix K {\displaystyle K} whose columns are a basis for ker M {\displaystyleParaphrasing (computational linguistics) (2,945 words) [view diff] no match in snippet view article
layer to produce a fixed size n p × n p {\displaystyle n_{p}\times n_{p}} matrix. Since S {\displaystyle S} are not uniform in size among all potentialSequenceL (2,395 words) [view diff] no match in snippet view article find links to article
definition of matrix multiplication is as follows: The product of the m×p matrix A with the p×n matrix B is the m×n matrix whose (i,j)'th entry is ∑ k =Tibrovirus (1,165 words) [view diff] no match in snippet view article find links to article
proteins found in all rhabdoviruses: nucleocapsid (N), phosphoprotein (P), matrix (M), glycoprotein (G), and polymerase (L). However, there are three additionalControllability Gramian (2,170 words) [view diff] no match in snippet view article find links to article
{B}}\end{bmatrix}}} has rank n. The n × ( n + p ) {\displaystyle n\times (n+p)} matrix [ A − λ I B ] {\displaystyle {\begin{bmatrix}{\boldsymbol {A}}-\lambdaCoxeter notation (6,423 words) [view diff] no match in snippet view article find links to article
[p], Reflections Rotation Name R0 R1 S0,1=R0×R1 Order 2 2 p Matrix [ 1 0 0 − 1 ] {\displaystyle \left[{\begin{smallmatrix}1&0\\0&-1\\\end{smallmatrix}}\right]}Lasso (statistics) (8,051 words) [view diff] no match in snippet view article
hypothesis can be computed with the p {\displaystyle p} x p {\displaystyle p} matrix R ⊗ = ( X ′ y ~ 0 ) ( X ′ y ~ 0 ) ′ ( X ′ X ) − 1 ( y ~ 0 ′ y ~ 0 ) −Cauchy–Binet formula (4,153 words) [view diff] no match in snippet view article find links to article
product of two matrices. Suppose that A is an m × n matrix, B is an n × p matrix, I is a subset of {1,...,m} with k elements and J is a subset of {1,..Dead-end elimination (1,929 words) [view diff] no match in snippet view article find links to article
discrete rotamers at each position, requires a p × p {\displaystyle p\times p} matrix. This makes the total number of entries in an unreduced pair matrix NCompound matrix (2,301 words) [view diff] no match in snippet view article find links to article
\end{aligned}}} Let c be a scalar, A be an m × n matrix, and B be an n × p matrix. For k a positive integer, let Ik denote the k × k identity matrix. TheUmdeutung paper (2,818 words) [view diff] no match in snippet view article find links to article
(equation for the conjugate variables momentum and position) Matrix of p Matrix of q The matrix for the product of the above two matrices as specifiedExpander code (2,562 words) [view diff] no match in snippet view article find links to article
{\displaystyle R\,} corresponds to each column of P {\displaystyle P\,} . Matrix multiplication over GF ( 2 ) = { 0 , 1 } {\displaystyle {\text{GF}}(2)=\{0Gaussian process approximations (2,033 words) [view diff] no match in snippet view article find links to article
{\displaystyle {\bar {X}}} , one may also find an n × p {\displaystyle n\times p} matrix A {\displaystyle \mathbf {A} } and assume that X = A η {\displaystyleComplex torus (5,881 words) [view diff] no match in snippet view article find links to article
{\text{Im}}(Z)\neq 0} follows from looking at the corresponding P {\displaystyle P} -matrix ( Z 1 g Z ¯ 1 g ) {\displaystyle {\begin{pmatrix}Z&1_{g}\\{\overlineWaste input-output model (3,972 words) [view diff] no match in snippet view article find links to article
n_{P}} matrix representing the flow of products among producing sectros. W P + {\displaystyle W_{P}^{+}} : an n W × n P {\displaystyle n_{W}\times n_{P}}Murine respirovirus (32,094 words) [view diff] no match in snippet view article find links to article
six genes, which encode the nucleocapsid (NP) protein, phosphoprotein (P), matrix protein (M), fusion protein (F), hemagglutinin-neuraminidase (HN) andGhanaian bat henipavirus (2,733 words) [view diff] no match in snippet view article find links to article
encoding for six structural proteins; nucleoprotein (N), phosphoprotein (P), matrix protein (M), fusion protein (F), attachment glycoprotein (G), and theComplex Wishart distribution (1,759 words) [view diff] no match in snippet view article find links to article
by, for example, James and Edelman. For a p × p {\displaystyle p\times p} matrix with ν ≥ p {\displaystyle \nu \geq p} degrees of freedom we have f ( λ