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Definite matrix
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In mathematics, a symmetric matrix M {\displaystyle \ M\ } with real entries is positive-definite if the real number x ⊤ M x {\displaystyle \ \mathbfSingular value decomposition (13,746 words) [view diff] no match in snippet view article find links to article

singular value decomposition of an m × n {\displaystyle m\times n} complex matrix M {\displaystyle \mathbf {M} } is a factorization of the form M = U ΣPermutation matrix (3,042 words) [view diff] no match in snippet view article find links to article

Pre-multiplying an n-row matrix M by a permutation matrix P, forming PM, results in permuting the rows of M, while post-multiplying an n-column matrix M, forming MPSerum Institute of India (1,601 words) [view diff] exact match in snippet view article find links to article

India's intellectual property for exfiltration. On October 8, 2023, the R21/Matrix-M malaria vaccine received a recommendation for use by the Strategic AdvisoryNewton–Euler equations (898 words) [view diff] no match in snippet view article find links to article

{F} }\\{\boldsymbol {\tau }}\end{matrix}}\right)=\left({\begin{matrix}m{\mathbf {I} _{3}}&0\\0&{\mathbf {I} }_{\rm {cm}}\end{matrix}}\right)\lVesiculovirus matrix proteins (358 words) [view diff] no match in snippet view article find links to article

proteins of the vesicular stomatitis virus, also known as VSIV or VSV. The matrix (M) protein of the virus causes many of the cytopathic effects of VSV, includingSymplectic matrix (2,322 words) [view diff] no match in snippet view article find links to article

mathematics, a symplectic matrix is a 2 n × 2 n {\displaystyle 2n\times 2n} matrix M {\displaystyle M} with real entries that satisfies the condition whereMoore matrix (482 words) [view diff] no match in snippet view article find links to article

of the Frobenius automorphism in the first column), so it is an m × n matrix M = [ α 1 α 1 q … α 1 q n − 1 α 2 α 2 q … α 2 q n − 1 α 3 α 3 q … α 3 q nSchur complement (2,901 words) [view diff] no match in snippet view article find links to article

matrix. If D is 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 . {\displaystyleUnimodular matrix (1,885 words) [view diff] no match in snippet view article find links to article

In mathematics, a unimodular matrix M is a square integer matrix having determinant +1 or −1. Equivalently, it is an integer matrix that is invertibleMatrix ring (1,812 words) [view diff] no match in snippet view article find links to article

this setting, if M is a matrix and r is in R, then the matrix rM is the matrix M with each of its entries multiplied by r. The set of all n × n square matricesRTS,S (2,326 words) [view diff] exact match in snippet view article find links to article

vaccine. It is one of two malaria vaccines approved (the other is R21/Matrix-M). As of April 2022[update], the vaccine has been given to 1 million childrenRayleigh quotient (2,797 words) [view diff] no match in snippet view article find links to article

mathematics, the Rayleigh quotient (/ˈreɪ.li/) for a given complex Hermitian matrix M {\displaystyle M} and nonzero vector x {\displaystyle x} is defined as:Unipotent (1,815 words) [view diff] no match in snippet view article find links to article

element; in other words, (r − 1)n is zero for some n. In particular, a square matrix M is a unipotent matrix if and only if its characteristic polynomial P(t)Rank–nullity theorem (3,066 words) [view diff] no match in snippet view article find links to article

a theorem in linear algebra, which asserts: the number of columns of a matrix M is the sum of the rank of M and the nullity of M; and the dimension ofUdwadia–Kalaba formulation (3,163 words) [view diff] no match in snippet view article find links to article

the conservative forces as well as non-conservative forces. The n-by-n matrix M is symmetric, and it can be positive definite ( M > 0 ) {\displaystyleSylvester's criterion (1,590 words) [view diff] no match in snippet view article find links to article

positive-definite. Sylvester's criterion states that a n × n Hermitian matrix M is positive-definite if and only if all the following matrices have a positiveMass matrix (1,147 words) [view diff] no match in snippet view article find links to article

In analytical mechanics, the mass matrix is a symmetric matrix M that expresses the connection between the time derivative q ˙ {\displaystyle \mathbf {\dotDistance matrix (4,098 words) [view diff] no match in snippet view article find links to article

= Mix + Mxj. This is where the additive metric comes from. A distance matrix M for a set of species S is said to be additive if and only if there existsConway polyhedron notation (2,672 words) [view diff] no match in snippet view article find links to article

created by the operations listed in this article can be expressed as a matrix M x {\displaystyle \mathbf {M} _{x}} . When x is the operator, v , e , fPoint accepted mutation (4,156 words) [view diff] no match in snippet view article find links to article

{1}{n(j)}}={\frac {m(j)}{\sum _{i=1,i\neq j}^{20}A(i,j)}}} The mutation matrix M {\displaystyle M} is constructed so that the entry M ( i , j ) {\displaystyleBlock matrix (4,768 words) [view diff] no match in snippet view article find links to article

be made more precise for an n {\displaystyle n} by m {\displaystyle m} matrix M {\displaystyle M} by partitioning n {\displaystyle n} into a collectionLinear algebra (7,780 words) [view diff] no match in snippet view article find links to article

example, let be a linear system. To such a system, one may associate its matrix M = [ 2 1 − 1 − 3 − 1 2 − 2 1 2 ] . {\displaystyle M=\left[{\begin{arrayInteger matrix (377 words) [view diff] no match in snippet view article find links to article

determinant) real or floating point valued matrices. The inverse of an integer matrix M {\displaystyle M} is again an integer matrix if and only if the determinantCoordinate vector (1,310 words) [view diff] no match in snippet view article find links to article

transformation of basis, notice that the superscript on the transformation matrix, M, and the subscript on the coordinate vector, v, are the same, and seeminglyJordan normal form (6,836 words) [view diff] no match in snippet view article find links to article

multiplicity of the eigenvalue. If the operator is originally given by a square matrix M, then its Jordan normal form is also called the Jordan normal form of MStone's method (474 words) [view diff] no match in snippet view article find links to article

operations. In the preconditioned iterative methods, if the preconditioner matrix M is a good approximation of coefficient matrix A then the convergence isModal matrix (1,224 words) [view diff] no match in snippet view article find links to article

process involving eigenvalues and eigenvectors. Specifically the modal matrix M {\displaystyle M} for the matrix A {\displaystyle A} is the n × n matrixRule of Sarrus (325 words) [view diff] no match in snippet view article find links to article

mathematician Pierre Frédéric Sarrus. Consider a 3 × 3 {\displaystyle 3\times 3} matrix M = [ a b c d e f g h i ] {\displaystyle M={\begin{bmatrix}a&b&c\\d&e&f\Birkhoff factorization (252 words) [view diff] no match in snippet view article find links to article

by George David Birkhoff (1909), is the factorization of an invertible matrix M with coefficients that are Laurent polynomials in z into a product M = M+M0M−Generalized linear array model (862 words) [view diff] no match in snippet view article find links to article

{M} )} is the row tensor function of the r × c {\displaystyle r\times c} matrix M {\displaystyle \mathbf {M} } given by G ( M ) = ( M ⊗ 1 ′ ) ∘ ( 1 ′ ⊗ MH-matrix (iterative method) (154 words) [view diff] no match in snippet view article

Definition: Let A = (aij) be a n × n complex matrix. Then comparison matrix M(A) of complex matrix A is defined as M(A) = αij where αij = −|Aij| forLarge margin nearest neighbor (1,428 words) [view diff] no match in snippet view article find links to article

For d ( ⋅ , ⋅ ) {\displaystyle d(\cdot ,\cdot )} to be well defined, the matrix M {\displaystyle \mathbf {M} } needs to be positive semi-definite. The EuclideanLinear belief function (3,955 words) [view diff] no match in snippet view article find links to article

multivariate normal distribution can be equivalently represented as a moment matrix: M ( X ) = ( μ Σ ) . {\displaystyle M(X)=\left({\begin{array}{*{20}c}\muSquare root of a 2 by 2 matrix (1,254 words) [view diff] no match in snippet view article find links to article

A square root of a 2×2 matrix M is another 2×2 matrix R such that M = R2, where R2 stands for the matrix product of R with itself. In general, there canComparison matrix (106 words) [view diff] no match in snippet view article find links to article

linear algebra, let A = (aij) be a n × n complex matrix. The comparison matrix M(A) = (αij) of complex matrix A is defined as α i j = { − | a i j | ifIncidence structure (2,590 words) [view diff] no match in snippet view article find links to article

) : v → is an eigenvector of matrix M } . {\displaystyle I=\{(v,M):{\vec {v}}{\text{ is an eigenvector of matrix }}M\}.} This example also shows thatStieltjes moment problem (519 words) [view diff] no match in snippet view article find links to article

m n m n + 1 m n + 2 ⋯ m 2 n ] {\displaystyle \Delta _{n}=\left[{\begin{matrix}m_{0}&m_{1}&m_{2}&\cdots &m_{n}\\m_{1}&m_{2}&m_{3}&\cdotsRayleigh–Ritz method (5,726 words) [view diff] no match in snippet view article find links to article

method to find approximations to left and right singular vectors of the matrix M ∈ C M × N {\displaystyle M\in \mathbb {C} ^{M\times N}} of size M × N {\displaystyleGram matrix (2,683 words) [view diff] no match in snippet view article find links to article

_{i}x_{i}v_{i}\neq 0} for all x {\displaystyle x} ). Given any positive semidefinite matrix M {\displaystyle M} , one can decompose it as: M = B † B {\displaystyle M=B^{\daggerKernel (algebra) (2,553 words) [view diff] no match in snippet view article

finite-dimensional and bases have been chosen, then T can be described by a matrix M, and the kernel can be computed by solving the homogeneous system of linearNullity (graph theory) (318 words) [view diff] no match in snippet view article

theory the nullity of the graph is the nullity of the oriented incidence matrix M associated with the graph. The nullity of M is given by m − n + c, whereIdentity element (737 words) [view diff] no match in snippet view article find links to article

Zero matrix n-by-n square matrices Matrix multiplication In (identity matrix) m-by-n matrices ○ (Hadamard product) Jm, n (matrix of ones) All functionsSparse matrix (3,200 words) [view diff] no match in snippet view article find links to article

row (CSR) or compressed row storage (CRS) or Yale format represents a matrix M by three (one-dimensional) arrays, that respectively contain nonzero valuesManin matrix (4,354 words) [view diff] no match in snippet view article find links to article

determinant and generalizations of the linear algebra theorems. An n by m matrix M with entries Mij over a ring R (not necessarily commutative) is a ManinZ-matrix (mathematics) (331 words) [view diff] no match in snippet view article

complexity theory, these are referred to as stoquastic operators. Hurwitz matrix M-matrix Metzler matrix P-matrix Bravyi, Sergey; DiVincenzo, David P.; OliveiraCollision detection (4,637 words) [view diff] no match in snippet view article find links to article

list. So for each list, we will have an n × n {\displaystyle n\times n} matrix M = ( m i j ) {\displaystyle M=(m_{ij})} of zeroes and ones: m i j {\displaystyleQuillaia (355 words) [view diff] exact match in snippet view article find links to article

recently purified products have been developed. Two of these (Quil A and Matrix-M) have been shown to be more effective and cause less local irritation.Observability (2,205 words) [view diff] no match in snippet view article find links to article

space of M ( t 0 , t 1 ) {\displaystyle M(t_{0},t_{1})} . Note that the matrix M {\displaystyle M} defined as above has the following properties: M ( tGaussian adaptation (3,037 words) [view diff] no match in snippet view article find links to article

multivariate Gaussian distribution, N(m, M), having mean m and moment matrix M. The samples are tested for fail or pass. The first- and second-order momentsCompanion matrix (2,443 words) [view diff] no match in snippet view article find links to article

α {\displaystyle m_{\lambda }(\alpha )=\lambda \alpha } has an n × n matrix [ m λ ] {\displaystyle [m_{\lambda }]} with respect to the standard basisInvertible matrix (6,940 words) [view diff] no match in snippet view article find links to article

negligible complexity. Any matrix M {\displaystyle \mathbf {M} } has an associated positive semidefinite, symmetric matrix M T M {\displaystyle \mathbfMatrix completion (5,581 words) [view diff] no match in snippet view article find links to article

is to find the lowest rank matrix X {\displaystyle X} which matches the matrix M {\displaystyle M} , which we wish to recover, for all entries in the setCovariance and contravariance of vectors (5,573 words) [view diff] no match in snippet view article find links to article

transformation described by an n × n {\displaystyle n\times n} invertible matrix M, so that the basis vectors transform according to [ e 1 ′ e 2 ′ .Algebraic Eraser (1,622 words) [view diff] no match in snippet view article find links to article

A {\displaystyle m_{A}} is a randomly selected polynomial of the seed matrix m A = ∑ i = 0 N − 1 a i M ∗ i {\displaystyle m_{A}=\sum _{i=0}^{N-1}{a_{i}M_{*}^{i}}}Rotation matrix (15,019 words) [view diff] no match in snippet view article find links to article

cited article is post-multiplied, works with row vectors). If the n × n matrix M is nonsingular, its columns are linearly independent vectors; thus theNonlinear eigenproblem (1,767 words) [view diff] no match in snippet view article find links to article

eigenvector, and ( λ , x ) {\displaystyle (\lambda ,x)} as the eigenpair. The matrix M ( λ ) {\displaystyle M(\lambda )} is singular at an eigenvalue λ {\displaystyleSnub dodecadodecahedron (551 words) [view diff] no match in snippet view article find links to article

^{2}\xi ^{2}+\phi ^{2}\xi +\phi \\\xi ^{2}+\xi \end{pmatrix}}} . Let the matrix M {\displaystyle M} be given by M = ( 1 / 2 − ϕ / 2 1 / ( 2 ϕ ) ϕ / 2 1 /F4 (mathematics) (973 words) [view diff] no match in snippet view article

(combinations of) Tr(M), Tr(M2) and Tr(M3) of the hermitian octonion matrix: M = [ x Z ¯ Y Z y X ¯ Y ¯ X z ] {\displaystyle M={\begin{bmatrix}x&{\overlineELLA (programming language) (447 words) [view diff] no match in snippet view article

n](vector1[k], vector2[k]). MAC TRANSPOSE = ([INT n][INT m]TYPE t: matrix) -> [m][n]t: [INT i = 1..m] [INT j = 1..n] matrix[j][i]. MAC INNER_PRODUCT{FNBianchi classification (6,581 words) [view diff] no match in snippet view article find links to article

The matrix M has two equal eigenvalues, and is diagonalizable. Type VI: An infinite family: semidirect products of R2 by R, where the matrix M has non-zeroHermite ring (492 words) [view diff] no match in snippet view article find links to article

b of the ring, there is an element d of the ring and an invertible 2×2 matrix M over the ring such that (a b)M = (d 0), and the term left Hermite is definedPageRank (8,783 words) [view diff] no match in snippet view article find links to article

column vector of length N {\displaystyle N} containing only ones. The matrix M {\displaystyle {\mathcal {M}}} is defined as M i j = { 1 / L ( p j ) ,Random self-reducibility (911 words) [view diff] no match in snippet view article find links to article

of the permanent of a matrix, it is clear that PERM(M) for any n-by-n matrix M is a multivariate polynomial of degree n over the entries in M. CalculatingHamburger moment problem (1,175 words) [view diff] no match in snippet view article find links to article

⋯ m 1 m 2 m 3 ⋯ m 2 m 3 m 4 ⋯ ⋮ ⋮ ⋮ ⋱ ) {\displaystyle A=\left({\begin{matrix}m_{0}&m_{1}&m_{2}&\cdots \\m_{1}&m_{2}&m_{3}&\cdots \\m_{2}&m_{3}&m_{4}&\cdotsReducing subspace (421 words) [view diff] no match in snippet view article find links to article

{\displaystyle T:V\to V} represented under basis B {\displaystyle B} by matrix M ∈ R r × r {\displaystyle M\in \mathbb {R} ^{r\times r}} then M {\displaystyleSubmersion (mathematics) (1,636 words) [view diff] no match in snippet view article

take the pullback M I → S n + k ↓ ↓ f I → γ S k {\displaystyle {\begin{matrix}M_{I}&\to &S^{n+k}\\\downarrow &&\downarrow f\\I&\xrightarrow {\gamma }FM-index (1,076 words) [view diff] no match in snippet view article find links to article

= "abracadabra$" is "ard$rcaaaabb", and here it is represented by the matrix M where each row is a rotation of the text, and the rows have been sortedIdempotent matrix (1,701 words) [view diff] no match in snippet view article find links to article

as an estimate of a population variance). In regression analysis, the matrix M = I − X ( X ′ X ) − 1 X ′ {\displaystyle M=I-X(X'X)^{-1}X'} is known toProjection matrix (1,837 words) [view diff] no match in snippet view article find links to article

{y} .} where I {\displaystyle \mathbf {I} } is the identity matrix. The matrix M := I − P {\displaystyle \mathbf {M} :=\mathbf {I} -\mathbf {P} } is sometimesPL (complexity) (589 words) [view diff] no match in snippet view article

determinant of a matrix (with integral coefficients) is positive. Given a matrix M and a number n, testing with | M | > n {\displaystyle |M|>n} is also PLRegular element of a Lie algebra (1,569 words) [view diff] no match in snippet view article find links to article

of polynomials of degree less than n {\displaystyle n} evaluated at the matrix M {\displaystyle M} , and therefore the centralizer has dimension n {\displaystyleMueller calculus (1,650 words) [view diff] no match in snippet view article find links to article

{\vec {S}}} ); and any optical element can be represented by a Mueller matrix (M). If a beam of light is initially in the state S → i {\displaystyle {\vecCoxeter–Dynkin diagram (3,213 words) [view diff] no match in snippet view article find links to article

where the mi,j are the elements of some symmetric matrix M which has 1s on its diagonal. This matrix M, the Coxeter matrix, completely determines the CoxeterIterative method (1,490 words) [view diff] no match in snippet view article find links to article

A {\displaystyle A} into A = M − N {\displaystyle A=M-N} and here the matrix M {\displaystyle M} should be easily invertible. The iterative methods areRow and column vectors (1,260 words) [view diff] no match in snippet view article find links to article

2}a_{3}\\b_{3}a_{1}&b_{3}a_{2}&b_{3}a_{3}\\\end{bmatrix}}\,.} An n × n matrix M can represent a linear map and act on row and column vectors as the linearGreat snub icosidodecahedron (848 words) [view diff] no match in snippet view article find links to article

\\-\phi ^{-3}+\phi ^{-1}\xi +2\phi ^{-1}\xi ^{2}\end{pmatrix}}} . Let the matrix M {\displaystyle M} be given by M = ( 1 / 2 − ϕ / 2 1 / ( 2 ϕ ) ϕ / 2 1 /Finite element method (7,610 words) [view diff] no match in snippet view article find links to article

… , n {\displaystyle j=1,\dots ,n} becomes actually simpler, since no matrix M {\displaystyle M} is used, where b = ( b 1 , … , b n ) t {\displaystyleMode 7 (1,157 words) [view diff] no match in snippet view article find links to article

{\displaystyle c} , and d {\displaystyle d} ( which together define the matrix M {\displaystyle \mathbf {M} } ), and x 0 {\displaystyle x_{0}} and y 0 {\displaystyleDesign matrix (1,591 words) [view diff] no match in snippet view article find links to article

where 10 people are pulled off the street and asked 4 questions. The data matrix M would be a 10×4 matrix (meaning 10 rows and 4 columns). The datum in rowTransfer-matrix method (optics) (2,216 words) [view diff] no match in snippet view article

{\displaystyle N\,} layers, each layer j {\displaystyle j\,} has a transfer matrix M j {\displaystyle M_{j}\,} , where j {\displaystyle j\,} increases towardsLevenshtein distance (2,435 words) [view diff] no match in snippet view article find links to article

This section uses 1-based strings rather than 0-based strings. If m is a matrix, m [ i , j ] {\displaystyle m[i,j]} is the ith row and the jth column ofDiagonal matrix (2,466 words) [view diff] no match in snippet view article find links to article

a_{n})} has a i ≠ a j , {\displaystyle a_{i}\neq a_{j},} then given a matrix M {\displaystyle \mathbf {M} } with m i j ≠ 0 , {\displaystyle m_{ij}\neqPauli matrices (7,437 words) [view diff] no match in snippet view article find links to article

× 2 complex Hermitian matrices means that we can express any Hermitian matrix M as M = c I + ∑ k a k σ k {\displaystyle M=c\,I+\sum _{k}a_{k}\,\sigma ^{k}}Diffusion map (2,469 words) [view diff] no match in snippet view article find links to article

also has the dual role of scale parameter. The eigendecomposition of the matrix M t {\displaystyle M^{t}} yields M i , j t = ∑ l λ l t ψ l ( x i ) ϕ l (Logical matrix (1,939 words) [view diff] no match in snippet view article find links to article

indexed sets X and Y (so R ⊆ X ×Y), then R can be represented by the logical matrix M whose row and column indices index the elements of X and Y, respectivelyNecessity and sufficiency (2,390 words) [view diff] no match in snippet view article find links to article

Similarly, a necessary and sufficient condition for invertibility of a matrix M is that M has a nonzero determinant. Mathematically speaking, necessitySemisimple algebra (902 words) [view diff] no match in snippet view article find links to article

complex entries is semisimple. Let Rad(A) be the radical of A. Suppose a matrix M is in Rad(A). Then M*M lies in some nilpotent ideals of A, therefore (M*M)kGeneralized eigenvector (7,052 words) [view diff] no match in snippet view article find links to article

there exists an invertible matrix M {\displaystyle M} such that J = M − 1 A M {\displaystyle J=M^{-1}AM} . The matrix M {\displaystyle M} in this caseSnub icosidodecadodecahedron (510 words) [view diff] no match in snippet view article find links to article

^{2}-\phi ^{2}\rho -1\\-\phi \rho ^{2}+\phi ^{2}\end{pmatrix}}} . Let the matrix M {\displaystyle M} be given by M = ( 1 / 2 − ϕ / 2 1 / ( 2 ϕ ) ϕ / 2 1 /Toom–Cook multiplication (3,095 words) [view diff] no match in snippet view article find links to article

matrix}m_{0}\\m_{1}\\m_{2}\end{matrix}}\right)=\left({\begin{matrix}1&0&0\\1&1&1\\1&-1&1\\1&-2&4\\0&0&1\end{matrix}}\right)\left({\begin{matrix}mHermitian matrix (3,013 words) [view diff] no match in snippet view article find links to article

{1}{2}}\left(C-C^{\mathsf {H}}\right)} In mathematics, for a given complex Hermitian matrix M and nonzero vector x, the Rayleigh quotient R ( M , x ) , {\displaystyleRhabdoviridae (2,776 words) [view diff] no match in snippet view article find links to article

the plant infecting viruses replicate in the nucleus. The rhabdovirus matrix (M) protein is very small (~20–25 kDa) however plays a number of importantHermitian matrix (3,013 words) [view diff] no match in snippet view article find links to article

{1}{2}}\left(C-C^{\mathsf {H}}\right)} In mathematics, for a given complex Hermitian matrix M and nonzero vector x, the Rayleigh quotient R ( M , x ) , {\displaystyleTransformer (deep learning architecture) (12,309 words) [view diff] no match in snippet view article

stated, it multiplies a one-hot representation of the token by an embedding matrix M {\displaystyle M} . For example, if the input token is 3 {\displaystyleGreat retrosnub icosidodecahedron (528 words) [view diff] no match in snippet view article find links to article

\\-\phi ^{-3}+\phi ^{-1}\xi +2\phi ^{-1}\xi ^{2}\end{pmatrix}}} . Let the matrix M {\displaystyle M} be given by M = ( 1 / 2 − ϕ / 2 1 / ( 2 ϕ ) ϕ / 2 1 /Malaria (25,478 words) [view diff] exact match in snippet view article find links to article

reported findings from a Phase IIb trial of a candidate malaria vaccine, R21/Matrix-M, which demonstrated efficacy of 77% over 12-months of follow-up. This vaccineGroup testing (9,934 words) [view diff] no match in snippet view article find links to article

matrix for this scheme is the t × n {\displaystyle t\times n} binary matrix, M {\displaystyle M} , where ( M ) i j = 1 {\displaystyle (M)_{ij}=1} ifMin-max theorem (2,550 words) [view diff] no match in snippet view article find links to article

larger than the maximum eigenvalue. The singular values {σk} of a square matrix M are the square roots of the eigenvalues of M*M (equivalently MM*). An immediateDubins–Spanier theorems (2,047 words) [view diff] no match in snippet view article find links to article

\cdots \sqcup X_{k}} . Define the matrix M X {\displaystyle M_{X}} as the following n × k {\displaystyle n\times k} matrix: M X [ i , j ] = V i ( X j ) {\displaystyleRandom dynamical system (1,804 words) [view diff] no match in snippet view article find links to article

in terms of deterministic transition matrices. Then a Markov transition matrix M = ( 0.4 0.6 0.7 0.3 ) {\displaystyle M=\left({\begin{array}{cc}0.4&0.6\\0Normal (geometry) (2,536 words) [view diff] no match in snippet view article

surface from the original normals. Specifically, given a 3×3 transformation matrix M , {\displaystyle \mathbf {M} ,} we can determine the matrix W {\displaystyleLifson–Roig model (752 words) [view diff] no match in snippet view article find links to article

The correlation matrix for this modification can be represented as a matrix M, reflecting the statistical weights of the helix state h and coil stateLambert series (3,851 words) [view diff] no match in snippet view article find links to article

_{k=0}^{m}\left[{\begin{matrix}s\\m\end{matrix}}\right]\left\{{\begin{matrix}m\\k\end{matrix}}\right\}{\frac {(-1)^{s-k}k!i^{m}}{(1-q^{i})^{k+1}}}} qBlock Wiedemann algorithm (1,084 words) [view diff] no match in snippet view article find links to article

M^{2}x,\ldots \right]} obtained by repeatedly multiplying the vector by the matrix M {\displaystyle M} ; let y {\displaystyle y} be any other vector of lengthPrince (cipher) (1,376 words) [view diff] no match in snippet view article

specified S-boxes. The linear layer consists of multiplication by a 64x64 matrix M ′ {\displaystyle M'} and a shift row similar to the one in AES but operatingGreat snub dodecicosidodecahedron (477 words) [view diff] no match in snippet view article find links to article

^{-1}\end{pmatrix}}} , where ϕ {\displaystyle \phi } is the golden ratio. Let the matrix M {\displaystyle M} be given by M = ( 1 / 2 − ϕ / 2 1 / ( 2 ϕ ) ϕ / 2 1 /Small snub icosicosidodecahedron (516 words) [view diff] no match in snippet view article find links to article

+\phi ^{-3}\\\xi \\\phi ^{-2}\xi +\phi ^{-2}\end{pmatrix}}} . Let the matrix M {\displaystyle M} be given by M = ( 1 / 2 − ϕ / 2 1 / ( 2 ϕ ) ϕ / 2 1 /Electroweak interaction (3,591 words) [view diff] no match in snippet view article find links to article

{\displaystyle \ \nu \ } is the right-handed singlet neutrino field, and the CKM matrix M i j C K M {\displaystyle M_{ij}^{\mathrm {CKM} }} determines the mixingZero-sum game (3,364 words) [view diff] no match in snippet view article find links to article

solving a linear programming problem. Suppose a zero-sum game has a payoff matrix M where element Mi,j is the payoff obtained when the minimizing player choosesPerfect phylogeny (1,646 words) [view diff] no match in snippet view article find links to article

described as follows: A perfect phylogeny for an n x m character state matrix M is a rooted tree T with n leaves satisfying: i. Each row of M labels exactlyLog-rank conjecture (466 words) [view diff] no match in snippet view article find links to article

{\displaystyle \operatorname {rank} (f)} denote the rank of its input matrix M f {\displaystyle M_{f}} (over the reals). Since every protocol using upAdrian V. S. Hill (1,071 words) [view diff] exact match in snippet view article find links to article

the UK and Africa. In 2021 his group reported high efficacy of a new R21/matrix-M candidate vaccine in Burkina Faso children and this vaccine is now in aMaple (software) (2,648 words) [view diff] no match in snippet view article

{\displaystyle a\sin \left({\frac {x}{a}}\right)} Compute the determinant of a matrix. M := Matrix([[1,2,3], [a,b,c], [x,y,z]]); # example Matrix [ 1 2 3 a b cAffine transformation (3,596 words) [view diff] no match in snippet view article find links to article

other and need not form a non-degenerate simplex.) The unique augmented matrix M that achieves the affine transformation [ y 1 ] = M [ x 1 ] {\displaystyleSmall retrosnub icosicosidodecahedron (576 words) [view diff] no match in snippet view article find links to article

+\phi ^{-3}\\\xi \\\phi ^{-2}\xi +\phi ^{-2}\end{pmatrix}}} . Let the matrix M {\displaystyle M} be given by M = ( 1 / 2 − ϕ / 2 1 / ( 2 ϕ ) ϕ / 2 1 /Health in the Central African Republic (1,331 words) [view diff] exact match in snippet view article find links to article

African Republic. In 2024, UNICEF delivered over 43,200 doses of the R21/Matrix-M malaria vaccine by air funded by Gavi, with further shipment of 163,800Conjugate gradient method (7,321 words) [view diff] no match in snippet view article find links to article

1 A {\displaystyle \mathbf {M} ^{-1}\mathbf {A} } . The preconditioner matrix M has to be symmetric positive-definite and fixed, i.e., cannot change fromSkew and direct sums of permutations (835 words) [view diff] no match in snippet view article find links to article

matrices corresponding to π and σ, respectively, then the permutation matrix M π ⊖ σ {\displaystyle M_{\pi \ominus \sigma }} corresponding to the skewInverted snub dodecadodecahedron (807 words) [view diff] no match in snippet view article find links to article

^{2}\xi ^{2}+\phi ^{2}\xi +\phi \\\xi ^{2}+\xi \end{pmatrix}}} . Let the matrix M {\displaystyle M} be given by M = ( 1 / 2 − ϕ / 2 1 / ( 2 ϕ ) ϕ / 2 1 /J (programming language) (2,227 words) [view diff] no match in snippet view article

5 57.75 38.75 40 43.5 59.75 70.25 80 72.5 m=: ?. 4 5 $50 NB. a random matrix m 46 5 29 2 4 39 10 7 10 44 46 28 13 18 1 42 28 10 40 12 avg"1 m NB. applyList of vaccine topics (2,305 words) [view diff] exact match in snippet view article find links to article

List of vaccines for parasitic diseases Vaccine(s) Parasite Diseases or conditions Brands Malaria vaccine Plasmodium Malaria Mosquirix, R21/Matrix-MRabies virus (4,382 words) [view diff] no match in snippet view article find links to article

the virion (virus particle). Beneath the envelope is the membrane or matrix (M) protein layer which may be invaginated at the planar end. The core ofBlock design (5,595 words) [view diff] no match in snippet view article find links to article

first row and first column and convert every −1 to a 0. The resulting 0–1 matrix M is the incidence matrix of a symmetric 2-(4a − 1, 2a − 1, a − 1) designAbelian group (5,284 words) [view diff] no match in snippet view article find links to article

finitely generated (since integers form a Noetherian ring). Consider the matrix M with integer entries, such that the entries of its jth column are the coefficientsMatrix splitting (1,385 words) [view diff] no match in snippet view article find links to article

matrix A into where B and C are n × n matrices. If, for an arbitrary n × n matrix M, M has nonnegative entries, we write M ≥ 0. If M has only positive entriesBallistic pendulum (2,243 words) [view diff] no match in snippet view article find links to article

⋅ v 1 2 {\displaystyle K_{initial}={\begin{matrix}{\frac {1}{2}}\end{matrix}}(m_{b}+m_{p})\cdot v_{1}^{2}} Taking the initial height of the pendulum asSpearman's rank correlation coefficient (4,260 words) [view diff] no match in snippet view article find links to article

The Spearman's rank correlation can then be computed, based on the count matrix M {\displaystyle M} , using linear algebra operations (Algorithm 2). NoteGreat dirhombicosidodecahedron (752 words) [view diff] no match in snippet view article find links to article

^{-1}\end{pmatrix}}} , where ϕ {\displaystyle \phi } is the golden ratio. Let the matrix M {\displaystyle M} be given by M = ( 1 / 2 − ϕ / 2 1 / ( 2 ϕ ) ϕ / 2 1 /Great inverted snub icosidodecahedron (821 words) [view diff] no match in snippet view article find links to article

\\-\phi ^{-3}+\phi ^{-1}\xi +2\phi ^{-1}\xi ^{2}\end{pmatrix}}} . Let the matrix M {\displaystyle M} be given by M = ( 1 / 2 − ϕ / 2 1 / ( 2 ϕ ) ϕ / 2 1 /Unscented transform (3,720 words) [view diff] no match in snippet view article find links to article

T} can be applied to a mean vector m {\displaystyle m} and covariance matrix M {\displaystyle M} as T m {\displaystyle Tm} and T M T T {\displaystyleMumps virus (2,850 words) [view diff] no match in snippet view article find links to article

following order: nucleocapsid (N) protein, V/P/I (V/phospho-(P)/I) proteins, matrix (M) protein, the most abundant protein in virions, fusion (F) protein, smallS-matrix (9,198 words) [view diff] no match in snippet view article find links to article

So the S-matrix is determined by three real parameters. The transfer matrix M {\displaystyle M} relates the plane waves C e i k x {\displaystyle Ce^{ikx}}Change of basis (3,077 words) [view diff] no match in snippet view article find links to article

V of dimension m. It is represented on "old" bases of V and W by a m×n matrix M. A change of bases is defined by an m×m change-of-basis matrix P for VOrthogonal matrix (4,802 words) [view diff] no match in snippet view article find links to article

corner). The problem of finding the orthogonal matrix Q nearest a given matrix M is related to the Orthogonal Procrustes problem. There are several differentVector-radix FFT algorithm (2,697 words) [view diff] no match in snippet view article find links to article

row-vector algorithm. For example, for a N M {\displaystyle N^{M}} element matrix (M dimensions, and size N on each dimension), the number of complex multiplesHopfield network (7,703 words) [view diff] no match in snippet view article find links to article

to (see for details) The last inequality sign holds provided that the matrix M I K {\displaystyle M_{IK}} (or its symmetric part) is positive semi-definiteR21 (144 words) [view diff] exact match in snippet view article find links to article

Dichlorofluoromethane, a refrigerant R21: Harmful in contact with skin, a risk phrase R21/Matrix-M a Malaria vaccine Small nucleolar RNA R21 R21 (New York City Subway car)Carleman matrix (2,942 words) [view diff] no match in snippet view article find links to article

] , {\displaystyle M[f\circ g]=M[f]M[g]~,} which makes the Carleman matrix M a (direct) representation of f ( x ) {\displaystyle f(x)} . Here the termMultidimensional Multirate Systems (1,123 words) [view diff] no match in snippet view article find links to article

multidimensional multirate systems, the basic building blocks are decimation matrix (M), expansion matrix(L) and Multidimensional digital filters. The decimationHotelling's T-squared distribution (1,980 words) [view diff] no match in snippet view article find links to article

Proof Proof Every positive-semidefinite symmetric matrix M {\textstyle {\boldsymbol {M}}} has a positive-semidefinite symmetric square root M 1 / 2 {\textstyleOrder statistic (4,485 words) [view diff] no match in snippet view article find links to article

{N}{m_{N}}}} 3: Create an s N × m N {\displaystyle s_{N}\times m_{N}} matrix M i j {\displaystyle M_{ij}} which holds m N {\displaystyle m_{N}} subsetsInner product space (7,305 words) [view diff] no match in snippet view article find links to article

\mathbb {R} ^{n}} if and only if there exists a symmetric positive-definite matrix M {\displaystyle \mathbf {M} } such that ⟨ x , y ⟩ = x T M y {\displaystyleLinear map (7,001 words) [view diff] no match in snippet view article find links to article

a_{ij}} . If we put these values into an m × n {\displaystyle m\times n} matrix M {\displaystyle M} , then we can conveniently use it to compute the vectorQuantum electrodynamics (6,635 words) [view diff] no match in snippet view article find links to article

corresponding amplitude at the first order of a perturbation series for the S-matrix: M f i = ( i e ) 2 u ¯ ( p → ′ , s ′ ) ϵ / ′ ( k → ′ , λ ′ ) ∗ p / + k /Hadamard matrix (3,078 words) [view diff] no match in snippet view article find links to article

{det} (M)|\leq n^{n/2}.} Equality in this bound is attained for a real matrix M if and only if M is a Hadamard matrix. The order of a Hadamard matrix mustSpectral theory (4,668 words) [view diff] no match in snippet view article find links to article

symmetric matrices, especially for the Rayleigh quotient with respect to a matrix M. Theorem Let M be a symmetric matrix and let x be the non-zero vector thatLyapunov stability (3,883 words) [view diff] no match in snippet view article find links to article

{\displaystyle A^{\textsf {T}}M+MA} is negative definite for some positive definite matrix M = M T {\displaystyle M=M^{\textsf {T}}} . (The relevant Lyapunov functionCoxeter group (3,758 words) [view diff] no match in snippet view article find links to article

Coxeter graphs yields a direct product of Coxeter groups. The Coxeter matrix, M i j {\displaystyle M_{ij}} , is related to the n × n {\displaystyle n\timesLinear complementarity problem (1,753 words) [view diff] no match in snippet view article find links to article

special case. It was proposed by Cottle and Dantzig in 1968. Given a real matrix M and vector q, the linear complementarity problem LCP(q, M) seeks vectorsCompleting the square (3,397 words) [view diff] no match in snippet view article find links to article

b y 2 + c = | z | 2 + c . {\displaystyle ax^{2}+by^{2}+c=|z|^{2}+c.} A matrix M is idempotent when M2 = M. Idempotent matrices generalize the idempotentToyota Matrix (3,030 words) [view diff] no match in snippet view article find links to article

Matrix". gaywheels.com. Retrieved 2008-10-12.[permanent dead link] "Toyota Matrix M-Theory Package Announced". autoblog.com. Retrieved 2008-10-12. Bedard,Prisoner's dilemma (9,300 words) [view diff] no match in snippet view article find links to article

vector of Y (where the indices are from Y's point of view), a transition matrix M may be defined for X whose ij-th entry is the probability that the outcomeBack-face culling (1,007 words) [view diff] no match in snippet view article find links to article

MU_{1}=V_{1}} M U 2 = V 2 {\displaystyle MU_{2}=V_{2}} Discard the triangle if matrix M contained an odd number of reflections (facing the opposite way of theResistance distance (1,350 words) [view diff] no match in snippet view article find links to article

j}} For any N-vertex simple connected graph G = (V, E) and arbitrary N×N matrix M: ∑ i , j ∈ V ( L M L ) i , j Ω i , j = − 2 tr ( M L ) {\displaystyleDual space (6,872 words) [view diff] no match in snippet view article find links to article

a real number y {\displaystyle y} . Then, seeing this functional as a matrix M {\displaystyle M} , and x {\displaystyle x} as an n × 1 {\displaystyleCoenzyme Q – cytochrome c reductase (2,325 words) [view diff] no match in snippet view article find links to article

out In the process called Q cycle, two protons are consumed from the matrix (M), four protons are released into the inter membrane space (IM) and twoQuantum complexity theory (3,628 words) [view diff] no match in snippet view article find links to article

matrix model, where the graph of the solution is given by the adjacency matrix: M ∈ { 0 , 1 } a n X n {\displaystyle M\in \{0,1\}a^{n\mathrm {X} n}} , withType system (7,256 words) [view diff] no match in snippet view article find links to article

{matrix} _{\mathrm {multiply} }:\mathrm {matrix} (k,m)\times \mathrm {matrix} (m,n)\to \mathrm {matrix} (k,n)} where k, m, n are arbitrary positive integerWilliamson theorem (540 words) [view diff] no match in snippet view article find links to article

positive-definite 2 n × 2 n {\displaystyle 2n\times 2n} Hermitian real matrix M ∈ R 2 n × 2 n {\displaystyle M\in \mathbb {R} ^{2n\times 2n}} , the theoremComplex Wishart distribution (1,761 words) [view diff] no match in snippet view article find links to article

Wishart distribution with n degrees of freedom and mean value, or scale matrix, M. f S ( S ) = | S | n − p e − tr ( M − 1 S ) | M | n ⋅ C Γ ~ p ( n )COVID-19 vaccine (22,796 words) [view diff] exact match in snippet view article find links to article

Immunogenicity of a SARS-CoV-2 rS (COVID-19) Nanoparticle Vaccine With/Without Matrix-M Adjuvant". ClinicalTrials.gov. 30 April 2020. NCT04368988. Archived fromGlossary of linear algebra (903 words) [view diff] no match in snippet view article find links to article

decomposition a factorization of an m × n {\displaystyle m\times n} complex matrix M as U Σ V ∗ {\displaystyle \mathbf {U\Sigma V^{*}} } , where U is an m ×Hadamard product (matrices) (2,702 words) [view diff] no match in snippet view article

{\displaystyle \operatorname {diag} (M)} is the vector formed from the diagonals of matrix M. The Hadamard product is a principal submatrix of the Kronecker productEuclidean vector (9,100 words) [view diff] no match in snippet view article find links to article

Mathematically, if the basis undergoes a transformation described by an invertible matrix M, so that a coordinate vector x is transformed to x′ = Mx, then a contravariantNon-constructive algorithm existence proofs (1,272 words) [view diff] no match in snippet view article find links to article

by v. A matrix M is "good" if it enables us to uniquely identify v. This means that, for every vector v, the product M v is unique. A matrix M is "bad"Total least squares (3,293 words) [view diff] no match in snippet view article find links to article

The weight matrix W is, ideally, the inverse of the variance-covariance matrix M y {\displaystyle \mathbf {M} _{y}} of the observations y. The independentCentral limit theorem (8,861 words) [view diff] no match in snippet view article find links to article

of edges, and in fact, faces of all dimensions. A linear function of a matrix M is a linear combination of its elements (with given coefficients), M ↦Cayley transform (2,249 words) [view diff] no match in snippet view article find links to article

definition only requires some invertibility, so one can substitute for Q any matrix M whose eigenvalues do not include −1. For example, [ 0 − a a b − c 0 0 −Diagonalizable matrix (4,688 words) [view diff] no match in snippet view article find links to article

sequences, such as the Fibonacci numbers. For example, consider the following matrix: M = [ a b − a 0 b ] . {\displaystyle M={\begin{bmatrix}a&b-a\\0&b\end{bmatrix}}CYK algorithm (2,189 words) [view diff] no match in snippet view article find links to article

readability, the CYK table for P is represented here as a 2-dimensional matrix M containing a set of non-terminal symbols, such that Rk is in M [ i ,Weyl's inequality (1,019 words) [view diff] no match in snippet view article find links to article

result gives the bound for the perturbation in the singular values of a matrix M {\displaystyle M} due to an additive perturbation Δ {\displaystyle \DeltaRegularization (mathematics) (4,617 words) [view diff] no match in snippet view article

{T}}\left\|f_{t}-f_{s}\right\|^{2}M_{ts}} for a given symmetric similarity matrix M {\displaystyle M} . Bayesian learning methods make use of a prior probabilityPotts model (3,625 words) [view diff] no match in snippet view article find links to article

by the same general form. In this case, the precise expression for the matrix M is a bit more complex. The goal of solving a model such as the Potts modelOrthogonal Procrustes problem (1,011 words) [view diff] no match in snippet view article find links to article

problem is equivalent to finding the nearest orthogonal matrix to a given matrix M = B A T {\displaystyle M=BA^{T}} , i.e. solving the closest orthogonalSterile neutrino (4,421 words) [view diff] no match in snippet view article find links to article

the neutrino mass eigenstates, we have to diagonalize the general mass matrix M ν : {\displaystyle \ M_{\nu }:} M ν ≈ ( 0 m D m D M NHL ) {\displaystylePlücker embedding (1,351 words) [view diff] no match in snippet view article find links to article

\bigwedge }^{k}V} . Changing the basis defining the homogeneous coordinate matrix M {\displaystyle M} just changes the Plücker coordinates by a nonzero scalingQuillaja saponaria (851 words) [view diff] exact match in snippet view article find links to article

1007/s11483-017-9482-7. S2CID 195071144. Magnusson, Sofia E; et al. (2018). "Matrix-M™ adjuvant enhances immunogenicity of both protein- and modified vacciniaTissot's indicatrix (2,683 words) [view diff] no match in snippet view article find links to article

\qquad {\frac {\partial {\hat {X}}}{\partial \phi }}=\left[{\begin{matrix}-M\cos {\lambda }\sin {\phi }\\-M\cos {\phi }\\M\sin {\lambda }\sin {\phiMultiple correspondence analysis (1,654 words) [view diff] no match in snippet view article find links to article

an MCA consists essentially in the singular value decomposition of the matrix: M = D r − 1 / 2 ( Z − r c T ) D c − 1 / 2 {\displaystyleCorank (230 words) [view diff] no match in snippet view article find links to article

of the left nullspace and of the cokernel of the matrix. For a square matrix M {\displaystyle M} , the corank and nullity of M {\displaystyle M} are equivalentPrincipal component analysis (14,283 words) [view diff] no match in snippet view article find links to article

_{L}\mathbf {\Sigma } _{L}=\mathbf {X} \mathbf {W} _{L}} The truncation of a matrix M or T using a truncated singular value decomposition in this way producesQuaternion group (3,724 words) [view diff] no match in snippet view article find links to article

representation realizes Q8 as a normal subgroup of GL(2, 3). Thus, for each matrix m ∈ GL ( 2 , 3 ) {\displaystyle m\in \operatorname {GL} (2,3)} , we haveAngular momentum (13,467 words) [view diff] no match in snippet view article find links to article

{dx_{i}}{dt}}{\Bigg \vert }_{t_{1}}^{t_{2}}} Since this is true for any matrix M i j {\displaystyle M_{ij}} that satisfies M i j = − M j i , {\displaystyleLinear least squares (5,374 words) [view diff] no match in snippet view article find links to article

{\displaystyle \mathbf {y} } are the random variables (e.g. a measurement), and the matrix M ~ {\displaystyle \mathbf {\tilde {M}} } and the vector m ~ {\displaystyleRandom matrix (7,081 words) [view diff] no match in snippet view article find links to article

n × n random matrices of the form H = X X*, where X is an n × m random matrix (m ≥ n) with independent entries, and X* is its conjugate transpose. In theCycle rank (1,223 words) [view diff] no match in snippet view article find links to article

matrix in parallel. A given sparse ( n × n ) {\displaystyle (n\times n)} -matrix M may be interpreted as the adjacency matrix of some symmetric digraph GSchmidt decomposition (1,331 words) [view diff] no match in snippet view article find links to article

j\leq m}\beta _{ij}e_{i}\otimes f_{j}} can then be viewed as the n × m matrix M w = ( β i j ) . {\displaystyle \;M_{w}=(\beta _{ij}).} By the singularFisher's inequality (512 words) [view diff] no match in snippet view article find links to article

blocks. Fisher's inequality states simply that b ≥ v. Let the incidence matrix M be a v × b matrix defined so that Mi,j is 1 if element i is in block jLinear code (2,685 words) [view diff] no match in snippet view article find links to article

more generality, if there is an n × n {\displaystyle n\times n} monomial matrix M : F q n → F q n {\displaystyle M\colon \mathbb {F} _{q}^{n}\to \mathbbHermitian symmetric space (7,418 words) [view diff] no match in snippet view article find links to article

concrete form in the classical cases: Type Ipq (p ≤ q): for every p × q matrix M there are unitary matrices such that UMV is diagonal. In fact this followsInverse element (4,478 words) [view diff] no match in snippet view article find links to article

other. They are not left or right inverses of each other however. A square matrix M {\displaystyle M} with entries in a field K {\displaystyle K} is invertibleHermitian symmetric space (7,418 words) [view diff] no match in snippet view article find links to article

concrete form in the classical cases: Type Ipq (p ≤ q): for every p × q matrix M there are unitary matrices such that UMV is diagonal. In fact this followsWallie Herzer (3,011 words) [view diff] no match in snippet view article find links to article

(matrix) Universal 99845 (matrix) Universal 94505 (matrix) (m), "Rag Medley #11" US Music 65500 (matrix) (m), "States Medley #5" US Music 64518 (matrix) VirtuosoInverse element (4,478 words) [view diff] no match in snippet view article find links to article

other. They are not left or right inverses of each other however. A square matrix M {\displaystyle M} with entries in a field K {\displaystyle K} is invertibleAffine group (2,460 words) [view diff] no match in snippet view article find links to article

N)=(v+Mw,MN)\,.} This can be represented as the (n + 1) × (n + 1) block matrix ( M v 0 1 ) {\displaystyle \left({\begin{array}{c|c}M&v\\\hline 0&1\end{array}}\right)}Equiangular lines (1,206 words) [view diff] no match in snippet view article find links to article

the origin of coordinates. Choose one unit vector in each line. Form the matrix M of inner products. This matrix has 1 on the diagonal and ±c everywhereQR algorithm (2,461 words) [view diff] no match in snippet view article find links to article

of the ellipse becomes faster. Such a stretch can be induced when the matrix M {\displaystyle M} which the ellipse represents gets replaced with M − λIncomplete LU factorization (872 words) [view diff] no match in snippet view article find links to article

exact solution to A x = b {\displaystyle Ax=b} . So, we instead use the matrix M = L U {\displaystyle M=LU} as a preconditioner in another iterative solutionNussinov algorithm (872 words) [view diff] no match in snippet view article find links to article

{\displaystyle S_{i}\in \{A,U,C,G\}} . Construct an n × n {\displaystyle n\times n} matrix M {\displaystyle M} . Initialize M {\displaystyle M} such that M ( i , iList of named matrices (1,336 words) [view diff] no match in snippet view article find links to article

stable system of differential equations may be represented by a Hurwitz matrix. M-matrix A Z-matrix with eigenvalues whose real parts are nonnegative. Positive-definiteTrain track map (2,675 words) [view diff] no match in snippet view article find links to article

topological representative f:Γ→Γ of an automorphism φ of Fk the transition matrix M(f) is an rxr matrix (where r is the number of topological edges of Γ) whereIntegral equation (5,580 words) [view diff] no match in snippet view article find links to article

} where the sum over j has been replaced by an integral over y and the matrix M and the vector v have been replaced by the kernel K(x, y) and the eigenfunctionGenerating function (14,332 words) [view diff] no match in snippet view article find links to article

}}\\[4px]{\frac {e^{w}-e^{z}}{we^{z}-ze^{w}}}&=\sum _{m,n\geq 0}\left\langle {\begin{matrix}m+n+1\\m\end{matrix}}\right\rangle {\frac {w^{m}z^{n}}{(m+n+1)!}}.\end{aligned}}}Bivector (9,910 words) [view diff] no match in snippet view article find links to article

general bivector B23e23 + B31e31 + B12e12 in three dimensions maps to the matrix M B = ( 0 B 12 − B 31 − B 12 0 B 23 B 31 − B 23 0 ) . {\displaystyleFactor analysis (10,019 words) [view diff] no match in snippet view article find links to article

× n {\displaystyle \varepsilon \in \mathbb {R} ^{p\times n}} and mean matrix M ∈ R p × n {\displaystyle \mathrm {M} \in \mathbb {R} ^{p\times n}} wherebyEbola vaccine (6,243 words) [view diff] exact match in snippet view article find links to article

induced and was found to be enhanced ten to a hundred-fold by the company's "Matrix-M" immunologic adjuvant. A study of the response of non-human primate toMulti-task learning (4,705 words) [view diff] no match in snippet view article find links to article

M {\displaystyle L=D-M} is the Laplacian for the graph with adjacency matrix M giving pairwise similarities of tasks. This is equivalent to giving a largerLaplace expansion (2,577 words) [view diff] no match in snippet view article find links to article

of B {\displaystyle B} that compose its i , j {\displaystyle i,j} minor matrix M i j {\displaystyle M_{ij}} as ( a s t ) {\displaystyle (a_{st})} for 1Semidefinite programming (4,694 words) [view diff] no match in snippet view article find links to article

x^{i}} and x j {\displaystyle x^{j}} . An n × n {\displaystyle n\times n} matrix M {\displaystyle M} is said to be positive semidefinite if it is the GramWess–Zumino model (3,102 words) [view diff] no match in snippet view article find links to article

freedom to make a unitary transformation in order to diagonalise the mass matrix m i j {\displaystyle m_{ij}} . When N = 1 {\displaystyle N=1} , if the multipletMultiple trace theory (3,426 words) [view diff] no match in snippet view article find links to article

attribute vector. Continuing with the preceding example of the memory matrix M, the probe will have L entries: p = [ p ( 1 ) p ( 2 ) ⋮ p ( L ) ] {\displaystylePerron–Frobenius theorem (8,235 words) [view diff] no match in snippet view article find links to article

is positive. Moreover, this is the best possible result, since for the matrix M below, the power Mk is not positive for every k < n2 − 2n + 2, since (Mn2 − 2n+1)1Range criterion (580 words) [view diff] no match in snippet view article find links to article

the range of ρ is spanned by a set of product vectors. In general, if a matrix M is of the form M = ∑ i v i v i ∗ {\displaystyle M=\sum _{i}v_{i}v_{i}^{*}}Combinatorial design (4,362 words) [view diff] no match in snippet view article find links to article

first row and first column and convert every −1 to a 0. The resulting 0–1 matrix M is the incidence matrix of a symmetric 2 − (4a − 1, 2a − 1, a − 1) designRandom walk closeness centrality (1,385 words) [view diff] no match in snippet view article find links to article

j=1, …, n; and a random walk process on this network with a transition matrix M. The m i j {\displaystyle m_{ij}} element of M describes the probabilitySparse 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\inPreconditioner (3,511 words) [view diff] no match in snippet view article find links to article

matrix A {\displaystyle A} is symmetric positive-definite, the splitting matrix M {\displaystyle M} is symmetric positive-definite, the stationary iterativeSpectral concentration problem (903 words) [view diff] no match in snippet view article find links to article

sidelobes. It turns out that the number of dominant eigenvalues of the matrix M that are close to 1, corresponds to N=2WT called the Shannon number. IfEntanglement distillation (4,621 words) [view diff] no match in snippet view article find links to article

following important Bell-state matrix identity holds for an arbitrary matrix M {\displaystyle \mathbf {M} } : ( M ⊗ I ) | Φ n + ⟩ = ( I ⊗ M T ) | Φ nEckart conditions (3,384 words) [view diff] no match in snippet view article find links to article

}\\\end{pmatrix}}\mathbf {d} \equiv \mathbf {B} \mathbf {d} .} We define the matrix M by M ≡ diag ( M 1 , M 2 , … , M N ) and M A ≡ diag ( M A , M A , MTimeline of the 21st century (8,387 words) [view diff] exact match in snippet view article find links to article

restore diplomatic relations. April 4: Finland joins NATO. April 13: R21/Matrix-M malaria vaccine approved for use. April 15: Third Sudanese civil war beginsEuclidean algorithm (15,119 words) [view diff] no match in snippet view article find links to article

b, both sides of this equation can be multiplied by the inverse of the matrix M. The determinant of M equals (−1)N+1, since it equals the product of theRobust principal component analysis (1,756 words) [view diff] no match in snippet view article find links to article

out from the background. If we stack the video frames as columns of a matrix M, then the low-rank component L0 naturally corresponds to the stationaryNaimark's dilation theorem (1,489 words) [view diff] no match in snippet view article find links to article

measure now becomes the following problem. By assumption, the non-square matrix M = [ x 1 ⋯ x n ] {\displaystyle M={\begin{bmatrix}x_{1}\cdots x_{n}\end{bmatrix}}}Halidou Tinto (893 words) [view diff] exact match in snippet view article find links to article

University on the development of an improved RTS,S malaria vaccine, called R21/Matrix-M. Tinto's research, funded by the European and Developing Countries ClinicalGeometry processing (4,211 words) [view diff] no match in snippet view article find links to article

the angles opposite the edge ( i , j ) {\displaystyle (i,j)} The mass matrix M as an operator computes the local integral of a function's value and isSpinor (9,924 words) [view diff] no match in snippet view article find links to article

algebra Mat(N, C {\displaystyle \mathbb {C} } ) – multiplying such a matrix M from the left with any N × N matrix A gives the result AM that is againEmmy Noether (14,709 words) [view diff] no match in snippet view article find links to article

powers of x) is equal to the zero vector, 0. Hence, the determinant of the matrix M must be zero, providing a new equation in which the variable x has beenGreedoid (1,729 words) [view diff] no match in snippet view article find links to article

greedoid, but neither an antimatroid nor a matroid. Consider an m × n matrix M. Let the ground set E be the indices of the columns from 1 to n and theCamera resectioning (2,128 words) [view diff] no match in snippet view article find links to article

rigid body transforms. Referring to the pinhole camera model, a camera matrix M {\displaystyle M} is used to denote a projective mapping from world coordinatesCholesky decomposition (7,649 words) [view diff] no match in snippet view article find links to article

x((k+1):n) - s * L((k+1):n, k); end end end A rank-n update is one where for a matrix M {\textstyle \mathbf {M} } one updates the decomposition such that A ~ =Colin de Verdière graph invariant (1,088 words) [view diff] no match in snippet view article find links to article

μ ( G ) {\displaystyle \mu (G)} is the largest corank of any symmetric matrix M = ( M i , j ) ∈ R ( n ) {\displaystyle M=(M_{i,j})\in \mathbb {R} ^{(n)}}Artin–Tits group (2,995 words) [view diff] no match in snippet view article find links to article

vertices labeled 1 , 2 , … , n {\displaystyle 1,2,\ldots ,n} defines a matrix M {\displaystyle M} , for which m s , t = 2 {\displaystyle m_{s,t}=2} ifFeynman diagram (16,023 words) [view diff] no match in snippet view article find links to article

^{\mu }k_{\mu }-m\right)\psi \,.} The propagator is the inverse of the matrix M linking ψ(k) and ψ(k), since different values of k do not mix togetherRing laser (5,338 words) [view diff] no match in snippet view article find links to article

upon mirror reflection χp and χs are introduced in an extended mirror matrix M r e f l = ( r p e j χ p 0 0 − r s e j χ s ) {\displaystyleCramér–Rao bound (4,434 words) [view diff] no match in snippet view article find links to article

{\langle w,v\rangle ^{2}}{v^{T}Mv}}=w^{T}M^{-1}w} for any positive-definite matrix M {\displaystyle M} , thus we obtain Var θ [ h ] ≥ ϕ ( θ ) T I ( θ ) −Feature selection (6,933 words) [view diff] no match in snippet view article find links to article

matrix, I m {\displaystyle \mathbf {I} _{m}} is the m-dimensional identity matrix (m: the number of samples), 1 m {\displaystyle \mathbf {1} _{m}} is the m-dimensionalFastICA (1,239 words) [view diff] no match in snippet view article find links to article

\mathbf {X} :=(x_{ij})\in \mathbb {R} ^{N\times M}} denote the input data matrix, M {\displaystyle M} the number of columns corresponding with the numberContinuous-time quantum walk (1,022 words) [view diff] no match in snippet view article find links to article

to its adjacency matrix for the remainder of this article. The mixing matrix M ( t ) ∈ Mat n × n ( R ) {\displaystyle M(t)\in \operatorname {Mat} _{n\timesCoupling coefficient of resonators (4,061 words) [view diff] no match in snippet view article find links to article

convenient to characterize all filter couplings as a whole using a coupling matrix M {\displaystyle \mathbf {M} } of dimension n × n {\displaystyle n\timesCompact operator on Hilbert space (4,850 words) [view diff] no match in snippet view article find links to article

matrices is a proper subset of matrices that are unitarily diagonalizable. A matrix M is unitarily diagonalizable if and only if it is normal, i.e., M*M = MM*GENERIC formalism (621 words) [view diff] no match in snippet view article find links to article

The related Poisson bracket fulfills the Jacobi identity. the friction matrix M ( x ) {\displaystyle M(x)} is a positive semidefinite (and hence symmetric)Proofs involving ordinary least squares (5,246 words) [view diff] no match in snippet view article find links to article

expression for y into the estimator, and use the fact that X'M = MX = 0 (matrix M projects onto the space orthogonal to X): σ ^ 2 = 1 n y ′ M y = 1 n ( XCommunication complexity (6,780 words) [view diff] no match in snippet view article find links to article

size in terms of communication complexity. Considering a 0 or 1 input matrix M f = [ f ( x , y ) ] x , y ∈ { 0 , 1 } n {\displaystyle M_{f}=[f(x,y)]_{xDodgson condensation (2,356 words) [view diff] no match in snippet view article find links to article

of M {\displaystyle M} ), and define a k × k {\displaystyle k\times k} matrix M ′ {\displaystyle M'} by M ′ = ( a 1 , 1 0 0 0 … 0 a k , 1 a 1 , 2 1 0 0Comparison of programming languages (array) (1,523 words) [view diff] no match in snippet view article

reshape([x11, x12, ...], [new-dims]) m = transpose(m) m[i,j] m[*,j] m[j,*] SymPy m = Matrix(...) m.det() m.T m[i-1,j-1] m.col(j-1) m.row(i-1) m.eigenvals()Harris affine region detector (7,032 words) [view diff] no match in snippet view article find links to article

One of these properties is that the square root of the second-moment matrix, M 1 2 {\displaystyle M^{\tfrac {1}{2}}} will transform the original anisotropicGeneralized minimal residual method (3,328 words) [view diff] no match in snippet view article find links to article

_{\mathrm {max} }(M)} denote the smallest and largest eigenvalue of the matrix M {\displaystyle M} , respectively. If A is symmetric and positive definiteRotations in 4-dimensional Euclidean space (5,718 words) [view diff] no match in snippet view article find links to article

arbitrary orthonormal basis. Calculate from this the so-called associate matrix M = 1 4 ( a 00 + a 11 + a 22 + a 33 + a 10 − a 01 − a 32 + a 23 + a 20 +Agenus (1,009 words) [view diff] no match in snippet view article find links to article

patented and FDA-approved triterpene glycoside extract known as (QS-21, Matrix M), which is a key component in the manufacturing of the Oxford–AstraZenecaRefinable function (1,950 words) [view diff] no match in snippet view article find links to article

by scalar factor like 2 the signal the coordinates are transformed by a matrix M {\displaystyle M} of integers. In order to let the scheme work, the absoluteSquare root of a matrix (4,600 words) [view diff] no match in snippet view article find links to article

nm. Let {Epq} ⊂ Cn × n be the n2 elementary matrix units. The positive matrix M Φ = ( Φ ( E p q ) ) p q ∈ C n m × n m {\displaystyle M_{\Phi }=\left(\PhiInterval arithmetic (8,154 words) [view diff] no match in snippet view article find links to article

]{\mbox{,}}} one can often try multiplying it by an appropriate rational matrix M {\displaystyle \mathbf {M} } with the resulting matrix equation. ( M ⋅Herpes simplex research (8,781 words) [view diff] exact match in snippet view article find links to article

includes the antigens ICP4 and gD2, as well as the proprietary adjuvant Matrix-M. GEN-003 had concluded Phase IIa clinical trials. In December 2015, GenoceaOnline matrix-vector multiplication problem (909 words) [view diff] no match in snippet view article find links to article

integer n {\displaystyle n} and an n × n {\displaystyle n\times n} Boolean matrix M {\displaystyle M} . The algorithm then runs for n {\displaystyle n} roundsTensor sketch (4,517 words) [view diff] no match in snippet view article find links to article

algorithms. Mathematically, a dimensionality reduction or sketching matrix is a matrix M ∈ R k × d {\displaystyle M\in \mathbb {R} ^{k\times d}} , where k < d {\displaystyleRNA-Seq (11,098 words) [view diff] no match in snippet view article find links to article

Inputs: Differential expression inputs include (1) an RNA-Seq expression matrix (M genes x N samples) and (2) a design matrix containing experimental conditionsSnakehead rhabdovirus (1,078 words) [view diff] no match in snippet view article find links to article

approximately 11,550 nucleotides in length, with six ORFs, including the matrix (M) gene, the nonvirion (NV) gene, the nucleoprotein (N) gene, the phosphoproteinMultiple scattering theory (3,387 words) [view diff] no match in snippet view article find links to article

_{j,l'm'}{M_{lm,l'm'}^{ij}c_{l'm'}^{j}=0}} , with the elements of the matrix M {\displaystyle {\bf {M}}} being M l m , l ′ m ′ i j = m l m , l ′ m ′ iQuantum relative entropy (2,405 words) [view diff] no match in snippet view article find links to article

{\displaystyle (\mu _{1},\ldots ,\mu _{n})} . In general, the support of a matrix M is the orthogonal complement of its kernel, i.e. supp ( M ) = ker ( M )Six exponentials theorem (1,956 words) [view diff] no match in snippet view article find links to article

λ21 are also linearly independent over the rational numbers, then the matrix M = ( λ 11 λ 12 λ 13 λ 21 λ 22 λ 23 ) {\displaystyle M={\begin{pmatrix}\lambdaLandscape connectivity (3,511 words) [view diff] no match in snippet view article find links to article

potential connectivity between a set of populations could be represented as a matrix M i j {\displaystyle \mathbf {M} _{ij}} , with each element giving the dispersalALGOL 68 (9,450 words) [view diff] no match in snippet view article find links to article

definition # (VECTOR out; FOR i FROM ⌊a TO ⌈a DO out[i] := a[i]+b[i] OD; out); MATRIX m := (v1, v2, v1+v2); print ((m[,2:])); # a slice of the 2nd and 3rd columnsWaldorf Music (2,291 words) [view diff] no match in snippet view article find links to article

Digital Oscillators, Dual Filter, 6 LFOs, 6 Envelopes, and Modulation Matrix. M - Hybrid 8-voice Polyphonic Synthesizer Module with 2 Digital WavetableEigenvalue algorithm (4,865 words) [view diff] no match in snippet view article find links to article

similar matrices have the same eigenvalues. The adjoint M* of a complex matrix M is the transpose of the conjugate of M: M * = M T. A square matrix A isPhotopolymer (3,884 words) [view diff] no match in snippet view article find links to article

+}}+{R'^{.}}+X^{-}->[{\ce {MH}}]{{R+}-H}+{M-R'}+X^{-}->{R}+H+X^{-}}}\\{}\end{matrix}}} M = Monomer The proposed mechanism for cationic photopolymerization beginsBaker–Campbell–Hausdorff formula (6,129 words) [view diff] no match in snippet view article find links to article

. The usefulness of this expression comes from the fact that the matrix M is a vielbein. Thus, given some map N → G {\displaystyle N\to G} from someChernoff bound (5,086 words) [view diff] no match in snippet view article find links to article

denote by ‖ M ‖ {\displaystyle \lVert M\rVert } the operator norm of the matrix M {\displaystyle M} . If ‖ M i ‖ ≤ γ {\displaystyle \lVert M_{i}\rVert \leqConstraint (computational chemistry) (4,518 words) [view diff] no match in snippet view article

that the equations may become unwieldy and complex; for example, the mass matrix M may become non-diagonal and depend on the generalized coordinates. A secondBuckingham π theorem (5,488 words) [view diff] no match in snippet view article find links to article

dimensions, the dimensional matrix is the ℓ × n {\displaystyle \ell \times n} matrix M {\displaystyle M} whose ℓ {\displaystyle \ell } rows correspond to theSchwinger function (2,553 words) [view diff] no match in snippet view article find links to article

\theta } is a reflection operation defined above. This axioms says that the matrix M i j = S ( f i + θ f j ) {\displaystyle M_{ij}=S(f_{i}+\theta f_{j})} hasIwahori–Hecke algebra (2,064 words) [view diff] no match in snippet view article find links to article

Start with the following data: (W, S) is a Coxeter system with the Coxeter matrix M = (mst), R is a commutative ring with identity. {qs | s ∈ S} is a familyControlled grammar (7,381 words) [view diff] no match in snippet view article find links to article

| m n ) ∗ {\displaystyle (m_{1}|m_{2}|...|m_{n})^{*}} , where each "matrix" m i {\displaystyle m_{i}} is a single sequence. For convenience, such aCoxeter complex (1,254 words) [view diff] no match in snippet view article find links to article

Let ( W , S ) {\displaystyle (W,S)} be a Coxeter system with Coxeter matrix M = ( m ( s , t ) ) s , t ∈ S {\displaystyle M=(m(s,t))_{s,t\in S}} . TheTimeline of biotechnology (24,488 words) [view diff] exact match in snippet view article find links to article

2021). "Efficacy of a low-dose candidate malaria vaccine, R21 in adjuvant Matrix-M, with seasonal administration to children in Burkina Faso: a randomisedEigenvalue perturbation (6,234 words) [view diff] no match in snippet view article find links to article

freedom systems close to equilibrium; the kinetic energy provides the mass matrix M {\displaystyle M} , the potential strain energy provides the rigidity matrixTibrovirus (1,151 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 additionalMotion field (1,191 words) [view diff] no match in snippet view article find links to article

{M} } is the image position dependent 2 × 3 {\displaystyle 2\times 3} matrix M = ( d m 1 d x 1 d m 1 d x 2 d m 1 d x 3 d m 2 d x 1 d m 2 d x 2 d m 2 dSchwarz triangle (10,928 words) [view diff] no match in snippet view article find links to article

representation of Γ on V which preserves Λ. The bilinear form Λ for the basis has matrix M = ( 1 − C − B − C 1 − A − B − A 1 ) , {\displaystylePfaffian (3,810 words) [view diff] no match in snippet view article find links to article

A_{2})=\operatorname {pf} (A_{1})\operatorname {pf} (A_{2}).} For an arbitrary n × n matrix M: pf [ 0 M − M T 0 ] = ( − 1 ) n ( n − 1 ) / 2 det M . {\displaystyleJacobi method for complex Hermitian matrices (1,176 words) [view diff] no match in snippet view article find links to article

rotation matrix, Rpq, will modify only the pth and qth rows or columns of a matrix M if it is applied from left or right, respectively: ( R p q M ) m , n =Discrete Laplace operator (5,677 words) [view diff] no match in snippet view article find links to article

i {\displaystyle i} . And let M {\displaystyle M} be the diagonal mass matrix M {\displaystyle M} whose i {\displaystyle i} -th entry along the diagonalRandom permutation statistics (11,987 words) [view diff] no match in snippet view article find links to article

E(X^{m})=E\left(\sum _{k=0}^{m}\left\{{\begin{matrix}m\\k\end{matrix}}\right\}(X)_{k}\right)=\sum _{k=0}^{m}\left\{{\begin{matrix}m\\k\end{matrix}}\right\}E((X)_{k})Plücker coordinates (5,142 words) [view diff] no match in snippet view article find links to article

^{5}} , without loss of generality assume that q01 is nonzero. Then the matrix M = [ q 01 0 0 q 01 − q 12 q 02 q 31 q 03 ] {\displaystyleFilter bank (5,926 words) [view diff] no match in snippet view article find links to article

general multidimensional filter bank with N channels and a common sampling matrix M. The analysis part transforms the input signal x [ n ] {\displaystyle x[n]}GF method (2,025 words) [view diff] no match in snippet view article find links to article

{\displaystyle \mathbf {x} =\mathbf {M} ^{-1/2}\mathbf {q} ,} i.e. the mass matrix M 1 / 2 {\displaystyle \mathbf {M} ^{1/2}} transforms Cartesian coordinatesState observer (5,746 words) [view diff] no match in snippet view article find links to article

{\displaystyle H(x)} is guaranteed to be a local diffeomorphism. The diagonal matrix M ( x ^ ) {\displaystyle M({\hat {x}})} of gains is such that M ( x ^ ) ≜Feature hashing (3,124 words) [view diff] no match in snippet view article find links to article

large matrices with small storage requirements. The idea is to treat a matrix M ∈ R n × n {\displaystyle M\in \mathbb {R} ^{n\times n}} as a dictionaryFour exponentials conjecture (2,298 words) [view diff] no match in snippet view article find links to article

formulation in terms of linear algebra is the following. Let M be the 2×2 matrix M = ( λ 11 λ 12 λ 21 λ 22 ) , {\displaystyle M={\begin{pmatrix}\lambda _{11}&\lambdaOrchid fleck dichorhavirus (1,320 words) [view diff] no match in snippet view article find links to article

Phosphoprotein (P) ORF3: Proteins involved in viral cell-to-cell movement ORF4: Matrix (M) protein ORF5: Glycoprotein (G) RNA2 ORF6: Polymerase (L) protein (RNA-dependentDe-sparsified lasso (632 words) [view diff] no match in snippet view article find links to article

R p × p {\displaystyle M\in R^{p\times p}} is an arbitrary matrix. The matrix M {\displaystyle M} is generated using a surrogate inverse covariance matrixUniversal enveloping algebra (9,256 words) [view diff] no match in snippet view article find links to article

antisymmetric tensor on V ⊗ d {\displaystyle V^{\otimes d}} . Given a matrix M, one may write the characteristic polynomial of M as det ( t I − M ) =Canonical basis (2,579 words) [view diff] no match in snippet view article find links to article

1&0&0\\0&0&0&4&0&0\\0&0&0&0&5&1\\0&0&0&0&0&5\end{pmatrix}},} where the matrix M {\displaystyle M} is a generalized modal matrix for A {\displaystyle A}Layered costmaps (1,559 words) [view diff] no match in snippet view article find links to article

or can be created from an architectural diagram. If in the static map matrix M s t a {\displaystyle M^{sta}} , the real location ( x w , y w ) {\displaystyleDegenerate conic (2,645 words) [view diff] no match in snippet view article find links to article

{\displaystyle Ax^{2}+2Bxy+Cy^{2}+2Dx+2Ey+F} , which is the determinant of the matrix M = [ A B B C ] , {\displaystyle M={\begin{bmatrix}A&B\\B&C\\\end{bmatrix}}Compound matrix (2,302 words) [view diff] no match in snippet view article find links to article

positive integer, let Ik denote the k × k identity matrix. The transpose of a matrix M will be written MT, and the conjugate transpose by M*. Then: C0 (A) = I1Computing the permanent (4,583 words) [view diff] no match in snippet view article find links to article

_{j=1}^{n}\beta _{j}!\right)(-1)^{n+\sum _{i=1}^{n}\alpha _{i}}} where for an n×m-matrix M {\displaystyle M} , an n-vector x {\displaystyle x} and an m-vector y {\displaystyleFrame (linear algebra) (5,397 words) [view diff] no match in snippet view article

^{2}} ) are reproducing kernel Hilbert spaces with a kernel given by the matrix M k , p = ⟨ S − 1 e p , e k ⟩ {\displaystyle M_{k,p}=\langle \mathbf {S}Chessboard detection (1,764 words) [view diff] no match in snippet view article find links to article

process of estimating the parameters of the 3 × 4 {\displaystyle 3\times 4} matrix M = K [ R t ] {\displaystyle M=K{\begin{bmatrix}R&t\end{bmatrix}}} of theCayley–Hamilton theorem (11,169 words) [view diff] no match in snippet view article find links to article

proofs below use the notion of the adjugate matrix adj(M) of an n × n matrix M, the transpose of its cofactor matrix. This is a matrix whose coefficientsMicro-mechanics of failure (1,941 words) [view diff] no match in snippet view article find links to article

micro stresses at the constituent level. For a micro point in fiber or matrix, M {\displaystyle M} is a 6×6 matrix while A {\displaystyle A} has the dimensionTomasi–Kanade factorization (615 words) [view diff] no match in snippet view article find links to article

it is possible to factor P into two sub-matrices: a motion and a shape matrix, M and S of size 2F × r and N × r respectively. P = M S T . {\displaystyleDual of BCH is an independent source (656 words) [view diff] no match in snippet view article find links to article

It is sufficient to show that given any k × l {\displaystyle k\times l} matrix M, where k is greater than or equal to l, such that the rank of M is l, forCobham's theorem (2,524 words) [view diff] no match in snippet view article find links to article

eigenvalue of the matrix of morphism f {\displaystyle f} , namely, the matrix M ( f ) = ( m x , y ) x ∈ B , y ∈ A {\displaystyle M(f)=(m_{x,y})_{x\in B2022 in science (49,140 words) [view diff] exact match in snippet view article find links to article

M. S.; et al. (7 September 2022). "Efficacy and immunogenicity of R21/Matrix-M vaccine against clinical malaria after 2 years' follow-up in children inQARMA (747 words) [view diff] no match in snippet view article find links to article

{\displaystyle M} is MixColumns: each column is multiplied by a fixed matrix M; S {\displaystyle S} is SubCells: each cell is transformed using an S-boxStirling polynomials (2,562 words) [view diff] no match in snippet view article find links to article

_{n}(m)&={\frac {(-1)^{m+n-1}}{m!(n-m)!}}\sum _{0\leq k<m}\left[{\begin{matrix}m\\m-k\end{matrix}}\right]{\frac {B_{n-k}}{n-k}},\ n\geq m>0\\\sigma _{n}(m)&=-{\fracGraphBLAS (1,843 words) [view diff] no match in snippet view article find links to article

{\displaystyle B} to matrix A {\displaystyle A} only in positions where the mask matrix M {\displaystyle M} is non-zero.: 3.5.4 Masks The GraphBLAS specificationFOSD program cubes (1,343 words) [view diff] no match in snippet view article find links to article

functionality, and rows represent different presentation front-ends. Such a matrix M is shown to the right: columns allow one to pair basic calculator functionalityStrawberry crinkle cytorhabdovirus (2,036 words) [view diff] no match in snippet view article find links to article

virus are glycoprotein (G), nucleocapsid (N), phosphoprotein (P), and the matrix (M) with their respective sizes of 77 kDa, 55 kDa, 45 kDa, and 23 kDa. LikeLocal consistency (5,931 words) [view diff] no match in snippet view article find links to article

row-convex matrices. A binary constraint can be represented by a bidimensional matrix M {\displaystyle M} , where M i j {\displaystyle M_{ij}} is 0 or 1 depending2021 in science (39,012 words) [view diff] exact match in snippet view article find links to article

2021). "Efficacy of a low-dose candidate malaria vaccine, R21 in adjuvant Matrix-M, with seasonal administration to children in Burkina Faso: a randomisedCollision response (2,527 words) [view diff] no match in snippet view article find links to article

− j d t ^ (otherwise) {\displaystyle \mathbf {j} _{f}=\left\{{\begin{matrix}-(m\mathbf {v} _{r}\cdot \mathbf {\hat {t}} )\mathbf {\hat {t}} &\mathbf {v}Lindström–Gessel–Viennot lemma (3,721 words) [view diff] no match in snippet view article find links to article

the tableau , one gets the corresponding 4-tuple On the other hand, the matrix M is exactly the matrix written above for D. This shows the required equivalenceMagnetic Tower of Hanoi (4,157 words) [view diff] no match in snippet view article find links to article

1 ) , {\displaystyle {\vec {S}}(n)=M{\vec {S}}(n-1),} where the Markov matrix M {\displaystyle M} is defined by M ≡ [ 0 1 1 0 0 0 0 1 0 1 0 1 0 0 0 1 0Mean-field particle methods (8,579 words) [view diff] no match in snippet view article find links to article

illustrate the abstract models presented above, we consider a stochastic matrix M = ( M ( x , y ) ) x , y ∈ S {\displaystyle M=(M(x,y))_{x,y\in S}} and someFractional social choice (1,658 words) [view diff] no match in snippet view article find links to article

many voters prefer y to x, and let Mxy be the difference. The resulting matrix M is called the majority margin matrix. A mixture p is called maximal iffModern Hopfield network (3,017 words) [view diff] no match in snippet view article find links to article

to (see for details) The last inequality sign holds provided that the matrix M I K {\displaystyle M_{IK}} (or its symmetric part) is positive semi-definiteGeneralized singular value decomposition (4,126 words) [view diff] no match in snippet view article find links to article

extension of the SVD as such. Given the SVD of an m×n real or complex matrix M M = U Σ V ∗ {\displaystyle M=U\Sigma V^{*}\,} where U ∗ W u U = V ∗ W vRiordan array (3,397 words) [view diff] no match in snippet view article find links to article

) ) {\displaystyle (a(x)c(b(x)),d(b(x)))} is a Riordan array. Define a matrix M {\displaystyle M} as the Riordan array ( a ( x ) , b ( x ) ) . {\displaystyleMatroid parity problem (2,862 words) [view diff] no match in snippet view article find links to article

{\displaystyle r} -dimensional vectors (arranged as column vectors in a matrix M {\displaystyle M} of size r × 2 m {\displaystyle r\times 2m} ). Then theJerzy Baksalary (1,150 words) [view diff] no match in snippet view article find links to article

, R M := I − M − M {\displaystyle R_{M}:=I-M^{-}M} is adopted for any matrix M.: 146 ) In 1981, Baksalary and Kala proved that for a Gauss-Markov modelOptical metric (4,262 words) [view diff] no match in snippet view article find links to article

insufficient to provide any information. However, the classical adjugate of a matrix M {\displaystyle M} is related to its determinant by M . a d j ( M ) = detOscillator representation (21,523 words) [view diff] no match in snippet view article find links to article

} every matrix in H0 is conjugate to a diagonal matrix by a matrix M in H0. Similarly every one-parameter semigroup S(t) in H fixes the sameBat mumps orthorubulavirus (1,846 words) [view diff] no match in snippet view article find links to article

virus, or more specifically, the ribonucleocapsid, interacts with the matrix (M) protein in the plasma membrane. Next, budding occurs via the ESCRT complexIdeal lattice (6,061 words) [view diff] no match in snippet view article find links to article

= B q ∗ / d {\displaystyle q=Bq^{\ast }/d} else return false where the matrix M is M = ( 0 ⋅ ⋅ ⋅ 0 ⋅ ⋅ I n − 1 ⋅ 0 ) {\displaystyle M={\begin{pmatrix}0&\cdotRepresentation theory of finite groups (21,307 words) [view diff] no match in snippet view article find links to article

{\displaystyle B:\mathbb {C} ^{2}\to \mathbb {C} ^{2}} is given by the matrix M B = ( 2 2 0 2 ) . {\displaystyle M_{B}={\begin{pmatrix}2&2\\0&2\end{pmatrix}}Kaczmarz method (4,530 words) [view diff] no match in snippet view article find links to article

{\displaystyle M^{\dagger }} we denote the Moore-Penrose pseudo-inverse of matrix M {\displaystyle M} . Hence, the method can be written in the form x k +Invariant convex cone (3,569 words) [view diff] no match in snippet view article find links to article

C). Autonne–Takagi factorization states that for any complex symmetric matrix M, there is a unitary matrix U such that UMUt is diagonal. IfS is a semigroupRelativistic angular momentum (10,805 words) [view diff] no match in snippet view article find links to article

\alpha }} The components of the tensor can be systematically displayed as a matrix M = ( M 00 M 01 M 02 M 03 M 10 M 11 M 12 M 13 M 20 M 21 M 22 M 23 M 30 MDepth of noncommutative subrings (2,993 words) [view diff] no match in snippet view article find links to article

3 {\displaystyle M^{3}} and similarly for all powers of the inclusion matrix M, the condition of being depth m ≥ 1 {\displaystyle m\geq 1} on the subalgebraWigner rotation (6,411 words) [view diff] no match in snippet view article find links to article

are 3×1 column vectors proportional to the composite velocities. The 3×3 matrix M will turn out to have geometric significance. The inverse transformationsEnvironmentally extended input–output analysis (2,693 words) [view diff] no match in snippet view article find links to article

of an environmental extension. This commonly takes the shape of an m×n matrix M of total factor inputs or outputs: Factors are denoted in a total of mDevelopmental bias (3,696 words) [view diff] no match in snippet view article find links to article

of the most relevant parameters to study evolvability, the mutational matrix (M-matrix), also known as the distribution of mutational effects, has beenMultilinear multiplication (3,861 words) [view diff] no match in snippet view article find links to article

_{j=1}^{n_{k}}m_{i,j}^{(k)}f_{i}^{k}\otimes (e_{j}^{k})^{*}} is then represented by the matrix M ^ k = [ m i , j ( k ) ] ∈ F m k × n k {\displaystyle {\widehat {M}}_{k}=[m_{iTimeline of Oxford (25,779 words) [view diff] exact match in snippet view article find links to article

malaria vaccine with 77% efficacy capable of cheap bulk production, R21/Matrix-M, developed by the University of Oxford's Jenner Institute and partnersMultirate filter bank and multidimensional directional filter banks (4,925 words) [view diff] no match in snippet view article find links to article

of special interest in some image coding applications. The decimation matrix M for the diamond filter bank is usually the quincunx matrix which is brieflyShared snapshot objects (3,324 words) [view diff] no match in snippet view article find links to article

These handshake bits are based on swsr registers and can be expressed by a matrix M, where process Pi is allowed to write to row i and is allowed to read theMutation (Jordan algebra) (15,817 words) [view diff] no match in snippet view article

. In particular this gives a homomorphism of SU(2)m into H. Now every matrix M in SU(2) can be written as a product M = ( ζ 1 0 0 ζ 1 − 1 ) ( cos φIBM Tivoli Access Manager (481 words) [view diff] no match in snippet view article find links to article

Insider. Retrieved 2024-03-17. "Identity Management Product Vendor / Matrix". M&S Consulting. 2013-06-25. Retrieved 2024-03-19. http://publib.boulder2024 in science (17,527 words) [view diff] exact match in snippet view article find links to article

results of health and medical research are reported: phase 3-trialed R21/Matrix-M vaccine against Malaria (1 Feb), phase 3-trialed resmetirom as first medicationJay Clark Brown (2,359 words) [view diff] no match in snippet view article find links to article

virus. His research justified the view that the vesicular stomatitis virus matrix M (VSV-M) protein plays a vital role in the maintenance of nucleocapsid inApril–June 2021 in science (11,867 words) [view diff] exact match in snippet view article find links to article

2021). "Efficacy of a low-dose candidate malaria vaccine, R21 in adjuvant Matrix-M, with seasonal administration to children in Burkina Faso: a randomisedType IIB supergravity (3,472 words) [view diff] no match in snippet view article find links to article

0 + i e − ϕ {\displaystyle \tau =C_{0}+ie^{-\phi }} . Introducing the matrix M i j = 1 Im τ ( | τ | 2 − Re τ − Re τ 1 ) {\displaystyle M_{ij}={\frac