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alternate case: matrix-M

Definite matrix (8,589 words) [view diff] no match in snippet view article find links to article

In mathematics, a symmetric matrix   M   {\displaystyle \ M\ } with real entries is positive-definite if the real number   x ⊤ M x   {\displaystyle \ \mathbf
Singular 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 matrixM {\displaystyle \mathbf {M} } ⁠ is a factorization of the form M = U Σ
Permutation 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 MP
Serum 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 Advisory
Newton–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)\l
Vesiculovirus 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, including
Symplectic 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 where
Moore 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 n
Schur 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 . {\displaystyle
Unimodular 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 invertible
Matrix 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 matrices
RTS,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 children
Rayleigh 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 of
Udwadia–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 ) {\displaystyle
Sylvester'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 positive
Mass 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 {\dot
Distance 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 exists
Conway 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 , f
Point 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 ) {\displaystyle
Block 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 collection
Linear 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{array
Integer 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 determinant
Coordinate 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 seemingly
Jordan 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 M
Stone'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 is
Modal 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 matrix
Rule 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 ′ ⊗ M
H-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| for
Large 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 Euclidean
Linear 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}\mu
Square 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 can
Comparison 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 | if
Incidence 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 that
Stieltjes 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}&\cdots
Rayleigh–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 {\displaystyle
Gram 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^{\dagger
Kernel (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 linear
Nullity (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, where
Identity 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 functions
Sparse 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 values
Manin 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 Manin
Z-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.; Oliveira
Collision 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 {\displaystyle
Quillaia (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 ( t
Gaussian 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 moments
Companion 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 basis
Invertible 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 \mathbf
Matrix 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 set
Covariance 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 the
Nonlinear 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 {\displaystyle
Snub 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&{\overline
ELLA (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{FN
Bianchi 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-zero
Hermite 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 defined
PageRank (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. Calculating
Hamburger 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}&\cdots
Reducing 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 {\displaystyle
Submersion (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 sorted
Idempotent 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 to
Projection 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 sometimes
PL (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 PL
Regular 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 {\displaystyle
Mueller 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 {\vec
Coxeter–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 Coxeter
Iterative 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 are
Row 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 linear
Great 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 {\displaystyle
Mode 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 {\displaystyle
Design 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 row
Transfer-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 towards
Levenshtein 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 of
Diagonal 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}\neq
Pauli 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, respectively
Necessity 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, necessity
Semisimple 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)k
Generalized 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 case
Snub 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}m
Hermitian 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 ) , {\displaystyle
Rhabdoviridae (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 important
Hermitian 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 ) , {\displaystyle
Transformer (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 {\displaystyle
Great 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 vaccine
Group 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} if
Min-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 immediate
Dubins–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 ) {\displaystyle
Random 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\\0
Normal (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 {\displaystyle
Lifson–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 state
Lambert 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}}}} q
Block 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 length
Prince (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 operating
Great 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 mixing
Zero-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 chooses
Perfect 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 exactly
Log-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 up
Adrian 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 a
Maple (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 c
Affine 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 ] {\displaystyle
Small 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 163,800
Conjugate 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 from
Skew 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 skew
Inverted 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. apply
List 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-M
Rabies 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 of
Block 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) design
Abelian 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 coefficients
Matrix 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 entries
Ballistic 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 as
Spearman'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). Note
Great 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 {\displaystyle
Mumps 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, small
S-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 V
Orthogonal 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 different
Vector-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 multiples
Hopfield 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-definite
R21 (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 term
Multidimensional 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 decimation
Hotelling'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 {\textstyle
Order 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}} subsets
Inner 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 {\displaystyle
Linear 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 vector
Quantum 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 must
Spectral 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 that
Lyapunov 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 function
Coxeter 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\times
Linear 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 vectors
Completing 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 idempotent
Toyota 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 outcome
Back-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 the
Resistance 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 ) {\displaystyle
Dual 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 {\displaystyle
Coenzyme 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 two
Quantum 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}} , with
Type 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 integer
Williamson 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 theorem
Complex 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 from
Glossary 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 product
Euclidean 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 contravariant
Non-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 independent
Central 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 \Delta
Regularization (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 probability
Potts 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 model
Orthogonal 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 orthogonal
Sterile 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 ) {\displaystyle
Plücker 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 scaling
Quillaja 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 vaccinia
Tissot'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 {\phi
Multiple 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 {\displaystyle
Corank (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 equivalent
Principal 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 produces
Quaternion 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 have
Angular 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 , {\displaystyle
Linear 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 ~ {\displaystyle
Random 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 the
Cycle 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 G
Schmidt 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 singular
Fisher'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 j
Linear 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 \mathbb
Hermitian 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 follows
Inverse 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 invertible
Hermitian 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 follows
Wallie 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) Virtuoso
Inverse 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 invertible
Affine 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 everywhere
QR 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 − λ
Incomplete 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 solution
Nussinov 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 , i
List 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-definite
Train 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) where
Integral 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 eigenfunction
Generating 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 ) . {\displaystyle
Factor 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}} whereby
Ebola 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 to
Multi-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 larger
Laplace 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 1
Semidefinite 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 Gram
Wess–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 multiplet
Multiple 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 ) ] {\displaystyle
Perron–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)1
Range 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) design
Random 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 probability
Sparse 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\in
Preconditioner (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 iterative
Spectral 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. If
Entanglement 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 n
Eckart 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 , M
Timeline 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 begins
Euclidean 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 the
Robust 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 stationary
Naimark'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 Clinical
Geometry 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 is
Spinor (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 again
Emmy 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 been
Greedoid (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 the
Camera 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 coordinates
Cholesky 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} if
Feynman 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 together
Ring 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 ) {\displaystyle
Cramér–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-dimensional
FastICA (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 number
Continuous-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\times
Coupling 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\times
Compact 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 ( X
Communication 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)]_{x
Dodgson 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 0
Comparison 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 anisotropic
Generalized 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 definite
Rotations 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–AstraZeneca
Refinable 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 absolute
Square 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(\Phi
Interval 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, Genocea
Online 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} rounds
Tensor 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 {\displaystyle
RNA-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 conditions
Snakehead 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 phosphoprotein
Multiple 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 ′ i
Quantum 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}\lambda
Landscape 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 dispersal
ALGOL 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 columns
Waldorf 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 Wavetable
Eigenvalue 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 is
Photopolymer (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 begins
Baker–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 some
Chernoff 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 \leq
Constraint (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 second
Buckingham 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 the
Schwinger 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})} has
Iwahori–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 family
Controlled 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 a
Coxeter 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}} . The
Timeline 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 randomised
Eigenvalue 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 matrix
Tibrovirus (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 additional
Motion 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 d
Schwarz 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 ) , {\displaystyle
Pfaffian (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 . {\displaystyle
Jacobi 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 diagonal
Random 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 ] {\displaystyle
Filter 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 coordinates
State 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 dictionary
Four 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}&\lambda
Orchid 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-dependent
De-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 matrix
Universal 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 ) {\displaystyle
Degenerate 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) = I1
Computing 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 {\displaystyle
Frame (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 the
Cayley–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 coefficients
Micro-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 dimension
Tomasi–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 . {\displaystyle
Dual 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, for
Cobham'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 B
2022 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 in
QARMA (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-box
Stirling 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)&=-{\frac
GraphBLAS (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 specification
FOSD 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 functionality
Strawberry 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. Like
Local 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 depending
2021 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 randomised
Collision 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 equivalence
Magnetic 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 0
Mean-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 some
Fractional 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 iff
Modern 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-definite
Generalized 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 v
Riordan 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 ) ) . {\displaystyle
Matroid 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 the
Jerzy 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 model
Optical 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 ) = det
Oscillator 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 same
Bat 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 complex
Ideal 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&\cdot
Representation 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 semigroup
Relativistic 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 M
Depth 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 subalgebra
Wigner 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 transformations
Environmentally 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 m
Developmental 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 been
Multilinear 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_{i
Timeline 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 partners
Multirate 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 briefly
Shared 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 the
Mutation (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 ⁡ φ
IBM 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.boulder
2024 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 medication
Jay 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 in
April–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 randomised
Type 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