Search results

Page title matches

• Matrix
  A '''matrix''' (plural "matrices") is a mathematical construct generally represented as ...ormation]] can be represented by a [[uniqueness|unique]] matrix, and every matrix represents a unique linear transformation.
  15 KB (2,209 words) - 02:10, 14 February 2010
• Zero matrix
  ...ent]] for [[matrix multiplication]] and as the [[additive identity]] for [[matrix addition]]. It represents the zero [[linear map]]. ...may be denoted <math>\scriptstyle 0_{m,n}</math> for an ''m''&times;''n'' matrix, so (for example)
  1 KB (172 words) - 16:40, 6 February 2009
• Unit matrix
  #REDIRECT [[Identity matrix]]
  29 bytes (3 words) - 17:27, 9 December 2008
• Diagonalizable matrix
  #REDIRECT [[Diagonal matrix#Diagonalizable matrix]]
  51 bytes (5 words) - 16:29, 11 December 2008
• Jacobian matrix
  22 bytes (2 words) - 12:58, 17 June 2009
• Invertible matrix
  #REDIRECT [[Matrix inverse]]
  28 bytes (3 words) - 17:38, 9 December 2008
• Matrix addition
  #REDIRECT [[Matrix#Matrix addition]]
  36 bytes (4 words) - 15:24, 12 December 2008
• Matrix/Definition
  118 bytes (14 words) - 12:49, 14 June 2008
• Diagonal matrix
  In [[matrix algebra]], a '''diagonal matrix''' is a [[square matrix]] for which only the entries on the main [[diagonal]] can be non-zero, and The [[matrix addition|sum]] and [[matrix multiplication|product]] of diagonal matrices are again diagonal, and the d
  2 KB (230 words) - 02:39, 7 January 2009
• Matrix multiplication
  #REDIRECT [[Matrix#Matrix multiplication]]
  42 bytes (4 words) - 15:25, 12 December 2008
• Hermitian matrix
  ...x conjugate|complex conjugate]] of the corresponding entry in the original matrix: or in matrix notation:
  6 KB (1,000 words) - 10:33, 3 February 2011
• Matrix (mathematics)
  #REDIRECT [[Matrix]]
  20 bytes (2 words) - 02:08, 10 December 2008
• Idempotent matrix
  #REDIRECT [[Matrix#Idempotent Matrix]]
  38 bytes (4 words) - 15:34, 12 December 2008
• Tutte matrix
  ...ath>A</math> of a [[Graph (mathematics)|graph]] ''G'' = (''V'',''E'') is a matrix used to determine the existence of a [[perfect matching]]: that is, a set o ...tices ''V'' has 2''n'' elements then the Tutte matrix is a 2''n'' × 2''n'' matrix A with entries
  2 KB (259 words) - 17:10, 28 October 2008
• Inverse matrix
  #REDIRECT [[Matrix inverse]]
  28 bytes (3 words) - 02:13, 10 December 2008
• Symmetric matrix
  #REDIRECT [[Matrix#Symmetric matrix]]
  37 bytes (4 words) - 02:20, 10 December 2008
• Sylvester matrix
  #REDIRECT [[Resultant (algebra)#Sylvester matrix]]
  50 bytes (5 words) - 16:34, 17 December 2008
• Matrix/Approval
  12 bytes (1 word) - 19:54, 7 October 2007
• Identity matrix
  ...cation]]. Its entries are those of the [[Kronecker delta]]. The identity matrix represents the [[identity function]] as a [[linear map|linear operator]] on The identity matrix is also known as '''unit matrix''' because it possesses many of the properties of the multiplicative unit o
  1,020 bytes (136 words) - 10:39, 23 April 2009
• Orthogonal matrix
  #REDIRECT [[Matrix#Orthogonal matrix]]
  38 bytes (4 words) - 02:32, 10 December 2008
• Square matrix
  #REDIRECT [[Matrix#Square matrices]]
  36 bytes (4 words) - 14:38, 7 November 2008
• Matrix minor
  36 bytes (3 words) - 16:06, 10 December 2008
• Matrix ring
  #REDIRECT [[Matrix#Operations]]
  31 bytes (3 words) - 07:39, 22 December 2008
• Adjugate matrix
  36 bytes (3 words) - 16:09, 10 December 2008
• Scalar matrix
  #REDIRECT [[Matrix#Scalar matrix]]
  34 bytes (4 words) - 09:39, 22 December 2008
• Matrix/Bibliography
  * ''Basic Matrix Theory'', Leonard E. Fuller, Prentice-Hall, 1962 * ''Matrix Computations'', Gene H.Golub and Charles F. Van Loan, John Hopkins Universi
  336 bytes (40 words) - 15:20, 14 November 2007
• Zero matrix/Definition
  A matrix consisting entirely of zero entries.
  81 bytes (10 words) - 15:11, 11 December 2008
• Jacobi matrix
  22 bytes (2 words) - 08:33, 14 January 2009
• Rotation matrix
  ...matrix''' is synonymous with a 3&times;3 [[orthogonal matrix]], which is a matrix '''R''' satisfying ...the [[transposed matrix]] and '''R'''^&minus;1 is the [[inverse matrix| inverse]] of '''R'''.
  22 KB (3,624 words) - 01:45, 26 October 2013
• Matrix inverse
  In [[matrix algebra]], the '''inverse''' of a [[square matrix]] '''A''' is '''X''' if where '''I'''_''n'' is the ''n''-by-''n'' [[identity matrix]]
  1 KB (158 words) - 00:36, 18 April 2009
• Hermitian matrix/Definition
  Matrix which equals its conjugate transpose matrix, that is, is self-adjoint.
  114 bytes (14 words) - 08:43, 4 September 2009
• Matrix inverse/Approval
  12 bytes (1 word) - 13:13, 23 January 2008
• Rotation matrix/Definition
  ...imes;3 proper (unit determinant) orthogonal (orthonormal rows and columns) matrix
  122 bytes (14 words) - 03:42, 13 July 2009
• Wigner D-matrix
  ...ctions of the Hamiltonian of spherical and symmetric [[rigid rotor]]s. The matrix was introduced by [[E. Wigner]] in 1927<ref>E. Wigner, ''Einige Folgerungen === Definition Wigner D-matrix ===
  11 KB (1,671 words) - 06:37, 1 November 2009
• Matrix/Related Articles
  896 bytes (141 words) - 14:11, 9 January 2013
• Zero matrix/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Zero matrix]]. Needs checking by a human. {{r|Diagonal matrix}}
  514 bytes (67 words) - 21:47, 11 January 2010
• Tutte matrix/Definition
  A matrix used to determine the existence of a perfect matching in a graph: that is,
  183 bytes (31 words) - 17:13, 28 October 2008
• Skew-symmetric matrix
  #REDIRECT [[Matrix#Antisymmetric matrix]]
  41 bytes (4 words) - 07:37, 22 December 2008
• Hermitian matrix/Approval
  12 bytes (1 word) - 12:47, 3 November 2007
• Matrix inverse/Definition
  The equivalent of the [[reciprocal]] defined for certain [[matrix|matrices]].
  113 bytes (13 words) - 15:39, 10 November 2008
• Identity matrix/Definition
  ...h ones on the main diagonal and zeroes elsewhere: the identity element for matrix multiplication.
  152 bytes (21 words) - 13:19, 5 December 2008
• Diagonal matrix/Definition
  A square matrix which has zero entries off the main diagonal.
  97 bytes (14 words) - 15:25, 11 December 2008
• Matrix inverse/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Matrix inverse]]. Needs checking by a human. {{r|Matrix}}
  498 bytes (63 words) - 18:22, 11 January 2010
• Wigner D-matrix/Definition
  matrix in an irreducible representation of the groups SU(2) and SO(3); quantum mec
  155 bytes (19 words) - 09:20, 12 October 2008
• Identity matrix/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Identity matrix]]. Needs checking by a human. {{r|Diagonal matrix}}
  965 bytes (124 words) - 17:23, 11 January 2010
• Diagonal matrix/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Diagonal matrix]]. Needs checking by a human. {{r|Identity matrix}}
  550 bytes (71 words) - 15:57, 11 January 2010
• Rotation matrix/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Rotation matrix]]. Needs checking by a human. {{r|Identity matrix}}
  631 bytes (81 words) - 20:07, 11 January 2010
• Hermitian matrix/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Hermitian matrix]]. Needs checking by a human. {{r|Matrix}}
  585 bytes (74 words) - 17:10, 11 January 2010
• Wigner D-matrix/Approval
  12 bytes (1 word) - 23:12, 15 November 2007
• Tutte matrix/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Tutte matrix]]. Needs checking by a human.
  430 bytes (56 words) - 21:08, 11 January 2010
• Wigner D-matrix/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Wigner D-matrix]]. Needs checking by a human.
  572 bytes (74 words) - 21:40, 11 January 2010
• Wigner's D-matrix
  #REDIRECT [[Wigner D-matrix]]
  29 bytes (3 words) - 06:54, 5 September 2007

Page text matches

• Zero matrix
  ...ent]] for [[matrix multiplication]] and as the [[additive identity]] for [[matrix addition]]. It represents the zero [[linear map]]. ...may be denoted <math>\scriptstyle 0_{m,n}</math> for an ''m''&times;''n'' matrix, so (for example)
  1 KB (172 words) - 16:40, 6 February 2009
• Diagonalizable matrix
  #REDIRECT [[Diagonal matrix#Diagonalizable matrix]]
  51 bytes (5 words) - 16:29, 11 December 2008
• Identity matrix
  ...cation]]. Its entries are those of the [[Kronecker delta]]. The identity matrix represents the [[identity function]] as a [[linear map|linear operator]] on The identity matrix is also known as '''unit matrix''' because it possesses many of the properties of the multiplicative unit o
  1,020 bytes (136 words) - 10:39, 23 April 2009
• Diagonal matrix
  In [[matrix algebra]], a '''diagonal matrix''' is a [[square matrix]] for which only the entries on the main [[diagonal]] can be non-zero, and The [[matrix addition|sum]] and [[matrix multiplication|product]] of diagonal matrices are again diagonal, and the d
  2 KB (230 words) - 02:39, 7 January 2009
• Skew-symmetric matrix
  #REDIRECT [[Matrix#Antisymmetric matrix]]
  41 bytes (4 words) - 07:37, 22 December 2008
• Symmetric matrix
  #REDIRECT [[Matrix#Symmetric matrix]]
  37 bytes (4 words) - 02:20, 10 December 2008
• Matrix addition
  #REDIRECT [[Matrix#Matrix addition]]
  36 bytes (4 words) - 15:24, 12 December 2008
• Scalar matrix
  #REDIRECT [[Matrix#Scalar matrix]]
  34 bytes (4 words) - 09:39, 22 December 2008
• Orthogonal matrix
  #REDIRECT [[Matrix#Orthogonal matrix]]
  38 bytes (4 words) - 02:32, 10 December 2008
• Matrix multiplication
  #REDIRECT [[Matrix#Matrix multiplication]]
  42 bytes (4 words) - 15:25, 12 December 2008
• Idempotent matrix
  #REDIRECT [[Matrix#Idempotent Matrix]]
  38 bytes (4 words) - 15:34, 12 December 2008
• Identity matrix/Definition
  ...h ones on the main diagonal and zeroes elsewhere: the identity element for matrix multiplication.
  152 bytes (21 words) - 13:19, 5 December 2008
• Hermitian matrix/Definition
  Matrix which equals its conjugate transpose matrix, that is, is self-adjoint.
  114 bytes (14 words) - 08:43, 4 September 2009
• Stroma/Definition
  ...ixation and the organelles DNA; thylakoid membranes are surrounded by this matrix.
  180 bytes (26 words) - 15:56, 17 May 2010
• Identity matrix/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Identity matrix]]. Needs checking by a human. {{r|Diagonal matrix}}
  965 bytes (124 words) - 17:23, 11 January 2010
• Matrix/Bibliography
  * ''Basic Matrix Theory'', Leonard E. Fuller, Prentice-Hall, 1962 * ''Matrix Computations'', Gene H.Golub and Charles F. Van Loan, John Hopkins Universi
  336 bytes (40 words) - 15:20, 14 November 2007
• Matrix inverse
  In [[matrix algebra]], the '''inverse''' of a [[square matrix]] '''A''' is '''X''' if where '''I'''_''n'' is the ''n''-by-''n'' [[identity matrix]]
  1 KB (158 words) - 00:36, 18 April 2009
• Diagonal matrix/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Diagonal matrix]]. Needs checking by a human. {{r|Identity matrix}}
  550 bytes (71 words) - 15:57, 11 January 2010
• Zero matrix/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Zero matrix]]. Needs checking by a human. {{r|Diagonal matrix}}
  514 bytes (67 words) - 21:47, 11 January 2010
• Cofactor (mathematics)/Definition
  ...nent of a matrix computation of the determinant; a signed determinant of a matrix minor.
  131 bytes (19 words) - 16:33, 10 December 2008
• Linear algebra
  ...a broad range of topics, such as [[systems of linear equations]], [[matrix|matrix algebra]], and [[arrow]]s in [[Cartesian coordinates|Cartesian]] two-dimens ...x algebra]], [[eigenvalue]]s and [[eigenvector]]s, [[linear operators]], [[matrix representation]]s, and [[inner product]]s find broad application in [[scien
  975 bytes (135 words) - 02:13, 3 September 2010
• Moore determinant
  ...s automorphism]] applied to the first column, i.e., an ''m'' &times; ''n'' matrix ...indices ''i'' and ''j''. (Some authors use the [[transpose]] of the above matrix.)
  1 KB (199 words) - 15:30, 7 December 2008
• Characteristic polynomial
  ...f a [[square matrix]] is a polynomial which has the [[eigenvalue]]s of the matrix as roots. Let ''A'' be an ''n''×''n'' matrix. The characteristic polynomial of ''A'' is the determinant
  911 bytes (131 words) - 22:35, 17 February 2009
• Matrix (mathematics)
  #REDIRECT [[Matrix]]
  20 bytes (2 words) - 02:08, 10 December 2008
• Matrices
  #redirect [[matrix]]
  20 bytes (2 words) - 07:05, 26 January 2009
• Unit matrix
  #REDIRECT [[Identity matrix]]
  29 bytes (3 words) - 17:27, 9 December 2008
• Invertible matrix
  #REDIRECT [[Matrix inverse]]
  28 bytes (3 words) - 17:38, 9 December 2008
• Matrix ring
  #REDIRECT [[Matrix#Operations]]
  31 bytes (3 words) - 07:39, 22 December 2008
• Inverse matrix
  #REDIRECT [[Matrix inverse]]
  28 bytes (3 words) - 02:13, 10 December 2008
• Eigenvalue/Definition
  ...'A''' ''v'' = &lambda; ''v''; the number &lambda; is the eigenvalue of the matrix '''A''' belonging to the eigenvector ''v''.
  217 bytes (33 words) - 02:56, 2 February 2009
• Wigner's D-matrix
  #REDIRECT [[Wigner D-matrix]]
  29 bytes (3 words) - 06:54, 5 September 2007
• Square matrix
  #REDIRECT [[Matrix#Square matrices]]
  36 bytes (4 words) - 14:38, 7 November 2008
• Tutte matrix
  ...ath>A</math> of a [[Graph (mathematics)|graph]] ''G'' = (''V'',''E'') is a matrix used to determine the existence of a [[perfect matching]]: that is, a set o ...tices ''V'' has 2''n'' elements then the Tutte matrix is a 2''n'' × 2''n'' matrix A with entries
  2 KB (259 words) - 17:10, 28 October 2008
• Sylvester matrix
  #REDIRECT [[Resultant (algebra)#Sylvester matrix]]
  50 bytes (5 words) - 16:34, 17 December 2008
• Zero matrix/Definition
  A matrix consisting entirely of zero entries.
  81 bytes (10 words) - 15:11, 11 December 2008
• Identity element
  ...[[matrix multiplication]]; a [[zero matrix]] is the identity element for [[matrix addition]].
  927 bytes (140 words) - 15:33, 8 December 2008
• Eigenvalue/Related Articles
  {{r|Diagonal matrix}} {{r|Identity matrix}}
  949 bytes (118 words) - 16:12, 11 January 2010
• Diagonal matrix/Definition
  A square matrix which has zero entries off the main diagonal.
  97 bytes (14 words) - 15:25, 11 December 2008
• Minimal polynomial/Definition
  The monic polynomial of least degree which a square matrix or endomorphism satisfies.
  121 bytes (16 words) - 17:52, 11 December 2008
• Identity (mathematics)
  ** The [[identity matrix]], the neutral element for [[matrix multiplication]].
  591 bytes (78 words) - 12:52, 31 May 2009
• Matrix inverse/Definition
  The equivalent of the [[reciprocal]] defined for certain [[matrix|matrices]].
  113 bytes (13 words) - 15:39, 10 November 2008
• Pauli spin matrices/Related Articles
  {{r|Hermitian matrix}} {{r|Identity matrix}}
  496 bytes (64 words) - 19:24, 11 January 2010
• MATLAB
  ...]] created by the [[MathWorks]]. MATLAB allows easy [[Matrix (mathematics)|matrix]] manipulation, implementation of algorithms, plotting of [[Function (mathe
  1 KB (141 words) - 11:14, 2 August 2010
• Continuant (mathematics)/Definition
  ...in generalized continued fractions and as the determinant of a tridiagonal matrix.
  165 bytes (21 words) - 15:39, 28 October 2008
• Rotation matrix/Definition
  ...imes;3 proper (unit determinant) orthogonal (orthonormal rows and columns) matrix
  122 bytes (14 words) - 03:42, 13 July 2009
• Characteristic polynomial/Definition
  The polynomial attached to a square matrix or endomorphism det(A-XI)=0.
  107 bytes (14 words) - 17:55, 11 December 2008
• Cofactor (mathematics)
  ...''' is a component of a [[matrix (mathematics)|matrix]] computation of the matrix [[determinant]]. Let ''M'' be a [[square matrix]] of size ''n''. The (''i'',''j'') '''minor''' refers to the determinant o
  3 KB (430 words) - 06:46, 23 November 2009
• Wigner D-matrix/Definition
  matrix in an irreducible representation of the groups SU(2) and SO(3); quantum mec
  155 bytes (19 words) - 09:20, 12 October 2008
• Matrix inverse/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Matrix inverse]]. Needs checking by a human. {{r|Matrix}}
  498 bytes (63 words) - 18:22, 11 January 2010
• Hermitian matrix/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Hermitian matrix]]. Needs checking by a human. {{r|Matrix}}
  585 bytes (74 words) - 17:10, 11 January 2010
• Linear map/Related Articles
  {{r|Identity matrix}} {{r|Zero matrix}}
  559 bytes (73 words) - 18:06, 11 January 2010
• Addiction/Catalogs
  ==Treatment modality matrix for addictions== !colspan=3|'''Treatment Modality Matrix'''
  2 KB (174 words) - 00:25, 20 September 2009
• Vector space/Related Articles
  {{r|matrix representation}} {{r|matrix (mathematics)}}
  492 bytes (60 words) - 15:09, 28 July 2009
• Permanent/Definition
  <noinclude>{{Subpages}}</noinclude>An invariant of a matrix consisting of the sum of all possible products taken one from each row and
  142 bytes (23 words) - 13:32, 9 January 2013
• Gaussian elimination/Related Articles
  {{r|matrix}} {{r|matrix addition}}
  579 bytes (84 words) - 14:09, 10 May 2009
• Kronecker delta/Related Articles
  {{r|Identity matrix}} {{r|Rotation matrix}}
  721 bytes (92 words) - 17:54, 11 January 2010
• Algebra over a field
  ...entries in ''F'' is an ''F''-algebra, with ''F'' embedded as the [[scalar matrix|scalar matrices]].
  1 KB (155 words) - 15:55, 23 December 2008
• Rotation matrix/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Rotation matrix]]. Needs checking by a human. {{r|Identity matrix}}
  631 bytes (81 words) - 20:07, 11 January 2010
• Jacobian/Definition
  Determinant of the matrix whose ith row lists all the first-order partial derivatives of the function
  160 bytes (23 words) - 09:07, 4 September 2009
• Resultant (algebra)
  ==Sylvester matrix== ...x''' attached to ''f'' and ''g'' is the square (''m''+''n'')×(''m''+''n'') matrix
  2 KB (388 words) - 17:58, 21 December 2008
• Fibonacci polynomials
  :<math>F_n(x)=\left\{\begin{matrix} \end{matrix}\right.</math>
  694 bytes (111 words) - 17:51, 21 January 2008
• Hermitian matrix
  ...x conjugate|complex conjugate]] of the corresponding entry in the original matrix: or in matrix notation:
  6 KB (1,000 words) - 10:33, 3 February 2011
• Tutte matrix/Definition
  A matrix used to determine the existence of a perfect matching in a graph: that is,
  183 bytes (31 words) - 17:13, 28 October 2008
• Character (group theory)
  ...[matrix]] group, is the [[trace (mathematics)|trace]] of the corresponding matrix.
  680 bytes (98 words) - 06:19, 15 June 2009
• Adhesion plaques
  ...membrane]] that anchor the [[biological cell|cell]] to an [[extracellular matrix]].
  166 bytes (22 words) - 06:28, 24 September 2007
• Absorbing element
  * The [[zero matrix]] is the absorbing element for [[matrix multiplication]].
  726 bytes (112 words) - 15:21, 21 December 2008
• Eigenvalue
  In [[linear algebra]] an '''eigenvalue''' of a (square) [[matrix]] <math>A</math> is a number <math>\lambda</math> that satisfies the eigenv where det means the [[determinant]], <math>I</math> is the [[identity matrix]] of the same [[dimension]] as <math>A</math>,
  4 KB (731 words) - 17:16, 11 December 2008
• Adhesion plaques/Definition
  ...membrane]] that anchor the [[Biological cell|cell]] to an [[extracellular matrix]].
  161 bytes (21 words) - 06:16, 21 September 2008
• Kronecker delta
  ...n'' [[identity matrix]]. The invariance of this matrix under [[orthogonal matrix|orthogonal]] change of coordinate makes δ a rank two [[tensor]].
  1 KB (209 words) - 07:59, 22 December 2008
• Spherical polar coordinates/Related Articles
  {{r|Diagonal matrix}} {{r|Identity matrix}}
  1,006 bytes (129 words) - 20:33, 11 January 2010
• Laplace expansion (potential)/Definition
  An expansion by means of which the determinant of a matrix may be computed in terms of the determinants of all possible smaller square
  207 bytes (32 words) - 03:28, 4 September 2009
• Idempotent element
  ...corresponding to direct sum decompositions. For example, the [[idempotent matrix]] is an idempotent for [[matrix multiplication]] corresponding to the operation of projection onto the ''x'
  1,007 bytes (146 words) - 16:14, 13 December 2008
• Pseudo-Hadamard transform
  == Matrix version == The transform can also be expressed as a matrix multiplication of a data vector by the appropriate member of a recursively-
  2 KB (395 words) - 05:48, 8 April 2024
• Permanent
  In mathematics, the '''permanent''' of a [[matrix]] is the sum of all possible products of elements taken from distinct rows
  267 bytes (37 words) - 14:06, 9 January 2013
• Euler angles/Related Articles
  {{r|Rotation matrix}} {{r|Wigner D-matrix}}
  955 bytes (150 words) - 03:40, 13 July 2009
• Trace (mathematics)/Definition
  Sum of diagonal elements of matrix; for linear operator ''T'', the trace is ''&Sigma;_k'' &lang;''v<
  240 bytes (45 words) - 06:17, 15 June 2009
• 2008 United States presidential election/External Links
  ...m/| The Next Government] - candidate profiles, issue areas, candidate idea matrix; provided by the Fels Center of Government, University of Pennsylvania
  501 bytes (63 words) - 00:39, 15 September 2013
• Connective tissue/Definition
  ...[[connective tissue cells]] embedded in a large amount of [[extracellular matrix]]<noinclude>{{DefMeSH}}</noinclude>
  378 bytes (45 words) - 15:05, 1 July 2010
• Minimal polynomial
  ...t object satisfies. Examples include the minimal polynomial of a [[square matrix]], an [[endomorphism]] of a [[vector space]] or an [[algebraic number]]. ==Minimal polynomial of a square matrix==
  4 KB (613 words) - 02:34, 4 January 2013
• Dyadic product
  ...to [[dot product]] and [[cross product]]. The dyadic product is a square [[matrix]] that represents a tensor with respect to the same system of axes as to wh ...duct of two matrices, the first being a column matrix and the second a row matrix,
  3 KB (650 words) - 08:22, 2 December 2009
• Quark
  ...ressed as a 3x3 unitary matrix, called the Cabibbo-Kobayashi-Maskawa (CKM) matrix, shown here in with the standard elements and the Wolfenstein parameterizat :<math>V=\left(\begin{matrix} V_{ud} & V_{us} & V_{ub} \\
  3 KB (489 words) - 07:22, 28 May 2022
• Pascal's Wager
  One can put this into a decision matrix, as in [[game theory]]: |+ Pascal's Wager decision matrix
  2 KB (425 words) - 09:51, 2 May 2010
• Vector rotation
  ...d individually, a more economical method is to calculate a single rotation matrix for the entire tank and apply that solution to every current position of th ...ed, and this method has devoted followers and critics. Although several 3D matrix rotation methods can be used, the method of Hughes (J. Graphics Tools, 2000
  4 KB (645 words) - 08:16, 22 April 2023
• Cornel West
  ...o "ordinary people" - he has appeared in ''The Matrix Reloaded'' and ''The Matrix Revolutions'' as "Councilor West". He has also been involved in a number of
  1 KB (183 words) - 20:45, 28 December 2020
• Srivastava code
  ...) of length ''n'' is defined by a parity check matrix ''H'' of [[alternant matrix|alternant]] form
  1 KB (155 words) - 15:31, 29 October 2008
• Gaussian elimination
  ...e accomplished using written equations, but is more often simplified using matrix forms of the equations. == Matrix format ==
  4 KB (574 words) - 05:42, 11 May 2009
• Erlang (programming language)/Tutorials/erlangOOP
  Its parent matrix, knows how to take the square root of a diagonal matrix. ...omplex number is a (subset of) complex matrices, if we think of a (1 by 1) matrix as a single number.
  9 KB (1,125 words) - 07:07, 8 August 2009
• Alternant code
  ...) of length ''n'' is defined by a parity check matrix ''H'' of [[alternant matrix|alternant]] form ''H''_''i'',''j'' = α_jⁱ''
  1 KB (178 words) - 15:15, 29 October 2008
• Matrix
  A '''matrix''' (plural "matrices") is a mathematical construct generally represented as ...ormation]] can be represented by a [[uniqueness|unique]] matrix, and every matrix represents a unique linear transformation.
  15 KB (2,209 words) - 02:10, 14 February 2010
• Adjoint (disambiguation)
  * [[Adjoint (linear algebra)]], the adjoint of a square matrix
  251 bytes (38 words) - 12:40, 31 May 2009
• Fuzzy control
  * [[Fuzzy associative matrix]]
  472 bytes (59 words) - 23:34, 14 February 2010
• Cytoskeleton/Related Articles
  {{r|Extracellular matrix}}
  336 bytes (40 words) - 17:53, 29 July 2009
• Population ecology/Related Articles
  {{r|Leslie matrix}} {{r|Matrix population models}}
  2 KB (240 words) - 10:16, 19 September 2008
• Self-adjoint operator
  ...a matrix which is its own transpose) or a [[Hermitian matrix]] in (i.e., a matrix which is its own Hermitian transpose) when these matrices are viewed as (bo ...n case, all eigenvalues of a real symmetric matrix and a complex Hermitian matrix are real.
  4 KB (709 words) - 06:58, 23 December 2008
• V (disambiguation)
  ...]] was a movie produced in the early 21st century by the creators of [[The Matrix]] movie series.
  393 bytes (65 words) - 12:44, 31 May 2009
• Formal fuzzy logic/Related Articles
  {{r|Fuzzy associative matrix}}
  306 bytes (40 words) - 06:01, 10 September 2009
• Circuit switching/Related Articles
  {{r|Matrix switch}}
  350 bytes (41 words) - 07:06, 26 January 2009
• Euler's theorem (rotation)
  .../font> these operators correspond one-to-one with orthogonal 3 &times; 3 [[matrix|matrices]] with determinant +1. Since for such (non-identity) matrices exa ...being [[associative product|associative]] and the inverse of an orthogonal matrix being orthogonal, the matrices form a [[group]] of infinite order, commonly
  12 KB (1,865 words) - 02:49, 19 April 2010
• Jacobian
  In [[mathematics]], the '''Jacobi matrix''' is the matrix of first-order [[partial derivative]]s of the (vector-valued) function: ...Jacobi matrix for ''n'' = ''m'' is known as the '''Jacobian'''. The Jacobi matrix and its determinant have several uses in mathematics:
  8 KB (1,229 words) - 08:32, 14 January 2009
• Angiotensin receptor
  ...contractility, central [[osmoregulation|osmocontrol]] and [[extracellular matrix]] formation. ...of [[cell growth]], fetal tissue development, modulation of extracellular matrix, [[neuron]]al regeneration, [[apoptosis]], [[cellular differentiation]] and
  3 KB (321 words) - 13:33, 15 June 2008
• Erlang (programming language)/Tutorials/Simplify
  looks nicer. In a matrix, we prefer the integers when possible, so we construct types of arguments, integer, float, imaginary, complex and matrix.
  3 KB (332 words) - 07:07, 8 August 2009
• Linear equation/Advanced
  === Linear matrix equations ===
  3 KB (418 words) - 14:53, 4 March 2009
• Continuant (mathematics)
  ...eneralized continued fraction]]s and as the determinant of a [[tridiagonal matrix]]. The extended continuant is precisely the determinant of the tridiagonal matrix
  2 KB (293 words) - 17:21, 13 January 2013
• Reflection (geometry)/Related Articles
  {{r|Identity matrix}}
  442 bytes (56 words) - 19:57, 11 January 2010
• Tutte matrix/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Tutte matrix]]. Needs checking by a human.
  430 bytes (56 words) - 21:08, 11 January 2010
• Congruence (disambiguation)
  * In [[matrix theory]], the property of matrices relating to the same [[bilinear form]] w
  645 bytes (93 words) - 12:51, 31 May 2009
• Observable (quantum computation)
  ...it (notated by angular brackets) may not be one of the eigenvalues of the matrix.
  3 KB (562 words) - 00:00, 17 February 2010
• Spherical harmonics/Related Articles
  *[[Wigner D-matrix]]
  631 bytes (84 words) - 06:48, 31 January 2009
• Linear quadratic control/Related Articles
  {{r|Identity matrix}}
  471 bytes (60 words) - 18:06, 11 January 2010
• Stark effect/Related Articles
  {{r|Wigner D-matrix}}
  517 bytes (67 words) - 20:35, 11 January 2010
• Wigner D-matrix
  ...ctions of the Hamiltonian of spherical and symmetric [[rigid rotor]]s. The matrix was introduced by [[E. Wigner]] in 1927<ref>E. Wigner, ''Einige Folgerungen === Definition Wigner D-matrix ===
  11 KB (1,671 words) - 06:37, 1 November 2009
• Cofactor (mathematics)/Related Articles
  {{r|Matrix inverse}}
  504 bytes (63 words) - 11:58, 11 January 2010
• Monoid
  ...rices]] under [[matrix multiplication]] form a monoid, with the [[identity matrix]] as the identity element: this monoid is not in general commutative.
  3 KB (526 words) - 11:02, 23 December 2008
• Eckart conditions/Related Articles
  {{r|Diagonal matrix}}
  552 bytes (70 words) - 16:10, 11 January 2010
• Dyadic product/Related Articles
  {{r|Rotation matrix}}
  508 bytes (65 words) - 16:07, 11 January 2010
• Wigner D-matrix/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Wigner D-matrix]]. Needs checking by a human.
  572 bytes (74 words) - 21:40, 11 January 2010
• Minimal polynomial/Related Articles
  {{r|Diagonal matrix}}
  544 bytes (70 words) - 18:34, 11 January 2010
• Albert algebra
  where <math>\cdot</math> denotes matrix multiplication.
  619 bytes (88 words) - 13:53, 14 November 2008
• Slater determinant/Related Articles
  {{r|Wigner D-matrix}}
  641 bytes (79 words) - 20:25, 11 January 2010
• Characteristic polynomial/Related Articles
  {{r|Identity matrix}}
  553 bytes (67 words) - 11:46, 11 January 2010
• Molecular Hamiltonian/Related Articles
  {{r|Wigner D-matrix}}
  678 bytes (85 words) - 18:36, 11 January 2010
• Molecular orbital theory/Related Articles
  {{r|Identity matrix}}
  625 bytes (78 words) - 18:37, 11 January 2010
• Affine space/Related Articles
  {{r|Rotation matrix}}
  616 bytes (79 words) - 07:47, 8 January 2010
• Trace (mathematics)
  In [[mathematics]], a '''trace''' is a property of a [[matrix]] and of a [[linear operator]] on a [[vector space]]. The trace plays an im ==Definition and properties of matrix traces==
  12 KB (1,903 words) - 10:57, 2 February 2009
• Identity function/Related Articles
  {{r|Identity matrix}}
  568 bytes (70 words) - 17:23, 11 January 2010
• Euclidean space
  ...i''</sub>} such that the [[overlap matrix]] is not equal to the [[identity matrix]], ...tensor is a function of position and cannot be transformed to an identity matrix by a global transformation, i.e., by a single transformation holding on t
  9 KB (1,403 words) - 02:22, 14 October 2013
• Trace (mathematics)/Related Articles
  {{r|Rotation matrix}}
  645 bytes (81 words) - 21:03, 11 January 2010
• Linear independence/Related Articles
  {{r|Diagonal matrix}}
  679 bytes (85 words) - 18:06, 11 January 2010
• Rigid rotor/Related Articles
  {{r|Wigner D-matrix}}
  748 bytes (97 words) - 20:03, 11 January 2010
• Least common multiple/Student Level
  \begin{matrix} \end{matrix}
  6 KB (743 words) - 18:42, 2 July 2009
• Reflection (geometry)
  ...80°, see [[Rotation matrix#Explicit expression of rotation matrix|rotation matrix]]. Sometimes it is convenient to write this as a matrix equation. Introducing the [[dyadic product]], we obtain
  8 KB (1,366 words) - 09:12, 10 August 2009
• Graph theory/Related Articles
  {{r|Tutte matrix}}
  797 bytes (101 words) - 16:58, 11 January 2010
• ARIA (cipher)
  ...network]]. The permutation multiplies a 128-bit vector by a 16x16 Boolean matrix to get another 128-bit vector.
  664 bytes (101 words) - 10:08, 2 December 2013
• Commutativity/Related Articles
  {{r|Matrix}}
  858 bytes (112 words) - 15:35, 11 January 2010
• Lie algebra/representation
  ...cation of the abstract [[Lie algebra]] to a simpler [[Lie algebra#Examples|matrix Lie algebra]]. ...of ''V'' is minimal, this is called the fundamental representation of the matrix Lie algebra.
  4 KB (670 words) - 21:07, 22 December 2011
• Semigroup
  * [[Square matrix|Square matrices]] under [[matrix multiplication]] form a semigroup, not in general commutative.
  3 KB (405 words) - 16:21, 13 November 2008
• Cartesian coordinates/Related Articles
  {{r|Rotation matrix}}
  879 bytes (114 words) - 03:09, 8 March 2024
• Orthogonal array
  ...h>OA(4N,4N-1,2,2)</math>. You just need to remove a column of 1's from the matrix: |Adamar matrix||Orthogonal array
  4 KB (571 words) - 12:50, 24 June 2008
• Vector field/Related Articles
  {{r|Identity matrix}}
  849 bytes (109 words) - 21:28, 11 January 2010
• Adjoint (operator theory)
  ...a generalization of the notion of the Hermitian conjugate of a complex [[matrix]] to linear operators on [[complex number|complex]] [[Hilbert space|Hilbert ...n operator. The crucial observation here is the following: for any complex matrix ''M'', its Hermitian tranpose, denoted by ''M''^&lowast;, is the
  5 KB (914 words) - 08:41, 17 October 2009
• Euler angles/Code
  C Determine Euler angles of the proper rotation matrix A. C--Check if matrix is orthogonal with unit determinant.
  4 KB (503 words) - 10:22, 2 August 2009
• Basalt
  ...rained. It may be porphyritic containing larger crystals in a fine-grained matrix, vesicular with gas bubbles, or frothy scoria. The oceanic crust is compose
  838 bytes (125 words) - 19:45, 31 December 2020
• Principal component analysis
  ...components ascertained by [[eigenanalysis]] of the data sets [[covariance matrix]]. The most important components are found along the dimensions with the l
  953 bytes (142 words) - 16:52, 4 August 2010
• Euler's theorem (rotation)/Related Articles
  {{r|Rotation matrix}}
  852 bytes (135 words) - 02:37, 22 July 2009
• Slater determinant
  \begin{matrix} \chi_1(\mathbf{x}_1) & \chi_2(\mathbf{x}_1) & \cdots & \chi_N(\mathbf{x}_1 \end{matrix}
  11 KB (1,582 words) - 07:52, 23 September 2009
• Scalar
  ...r real (if the space is real and 3-dimensional it is called a [[rotation matrix|rotation]]). The [[determinant]] of a unitary transformation is a complex and the matrix-matrix product is implied,
  9 KB (1,373 words) - 06:21, 11 December 2009
• Albert algebra/Related Articles
  {{r|Self-adjoint matrix}}
  889 bytes (141 words) - 18:01, 6 December 2008
• Pauli spin matrices
  ...itian matrices]] which form an orthogonal basis (along with the [[identity matrix]]) for the real [[Hilbert space]] of 2&nbsp;&times;&nbsp;2 Hermitian matric :<math>\begin{matrix}
  7 KB (1,096 words) - 05:49, 17 October 2013
• U.K. support for Iraq during the Iran-Iraq War/Related Articles
  {{r|Matrix Churchill}}
  890 bytes (125 words) - 14:31, 1 March 2009
• Two-port network
  The relations between inputs and outputs usually are expressed in matrix notation. |<math>Z_{21} = \begin{matrix} {V_\mathrm{2} \over I_\mathrm{1} }\end{matrix} \Big|_{I_{2}=0} </math>
  20 KB (3,085 words) - 10:38, 2 July 2011
• Field (mathematics)/Related Articles
  {{r|Matrix inverse}}
  1 KB (146 words) - 16:32, 11 January 2010
• Euler angles
  ...pherical polar angles, in consequence the (''m'', ''m''&prime;) [[Wigner D-matrix]]-element carries the complex phase exp[''i''&pi;(''m''&minus;''m''&prime; Write <math>\mathbf{R}(\varphi, \hat{n})</math> for the [[rotation matrix]] that describes a rotation around the unit vector <math>\hat{n}</math> ove
  16 KB (2,502 words) - 12:28, 24 March 2010
• Biomechanics
  *[[cell differentiation|differentiating cells]] along the [[extracellular matrix]] during [[embryonic development]],
  1 KB (174 words) - 15:37, 3 December 2008
• Comparative biology
  ...ishes, (m) [[Chlorurus microrhinos]], feeds on the [[epilithic]] [[alga]]l matrix of [[coral reef]]s, (n) [[Siphonognathus argyrophanes]], feeds on small inv
  1 KB (142 words) - 16:06, 20 May 2010
• GF method
  ...terms of the same internal coordinates. Solving the GF equations gives the matrix that transforms from the linearized internal coordinates to the normal coor ...an matrix|Hessian]] of ''V'') evaluated in the minimum is a force constant matrix '''F'''. In the ''harmonic approximation''&mdash;on which the method is bas
  13 KB (1,996 words) - 10:52, 3 November 2021
• Vector field
  ...3 [[matrix]] obeying '''A'''^T'''A''' = '''E''' (the [[identity matrix]]), then rotation of the coordinate axes by '''A''' gives
  5 KB (928 words) - 04:59, 9 December 2009
• Ring (mathematics)/Related Articles
  {{r|Diagonal matrix}}
  1 KB (174 words) - 20:03, 11 January 2010
• Abrasive wheel
  ...minium oxide, zirconia alumina, and silicon carbide that are embedded in a matrix called the bond. The bond not only holds the abrasive grains together but a
  1 KB (171 words) - 05:39, 12 September 2013
• Rotation matrix
  ...matrix''' is synonymous with a 3&times;3 [[orthogonal matrix]], which is a matrix '''R''' satisfying ...the [[transposed matrix]] and '''R'''^&minus;1 is the [[inverse matrix| inverse]] of '''R'''.
  22 KB (3,624 words) - 01:45, 26 October 2013
• Special function/Catalogs/Catalog
  |<math>\begin{matrix}\frac{d}{dx}\end{matrix} \ln \Gamma(x)</math> |<math>\left(\begin{matrix}\frac{d}{dx}\end{matrix}\right)^{m+1} \ln \Gamma(x)</math>
  8 KB (1,184 words) - 14:58, 8 December 2009
• Computer algebra system
  *matrix operations
  1 KB (164 words) - 14:01, 18 January 2008
• Brining
  ...he cell also denatures its [[protein]]s. The proteins coagulate, forming a matrix which traps water molecules and holds them during cooking. This prevents th
  1 KB (191 words) - 13:39, 10 April 2024
• Bra-ket notation
  ...for performing and describing the [[linear algebra]] used throughout the [[matrix mechanics]] formulation of [[quantum mechanics]]. which is guaranteed to be the case for the eigenvectors of a Hermitean matrix.
  4 KB (690 words) - 12:51, 26 March 2011
• Yogini
  The yogini, having a female body that is a matrix for menstruation and childbirth transformation through an awakened mooladha
  1 KB (204 words) - 20:32, 14 February 2010
• Ljubljana
  *[http://www.on-the-matrix.com/europe/svn_ljubljana.asp Europe on the Matrix: Ljubljana, Slovenia] &mdash; Photographs and information.
  2 KB (327 words) - 11:23, 4 November 2007
• Morris the Explainer
  ...i Brothers|Laurence and Andrew Wachowski]], in which the [[The Oracle (The Matrix)|Oracle's]] role as [[Mentor (storytelling)|mentor]] is also used for exten
  5 KB (696 words) - 16:59, 3 July 2009
• Quantum mechanics/Timelines
  *[[Werner Heisenberg]] invents matrix mechanics ...rödinger]] formulates his wave function equation; proves equivalence with matrix
  4 KB (522 words) - 10:02, 11 April 2008
• APP/Function
  ...198 {{#if: extracellular matrix organization and biogenesis |extracellular matrix organization and biogenesis|GO:0030198 }}]</span><br>
  11 KB (1,519 words) - 11:17, 11 May 2009
• Mythbusters
  ...II: Attack of the Clones", "Galaxy Quest", "Terminator 3", "A.I." and the "Matrix" sequels.He teaches model making in the industrial design department of the ...Attack of the Clones, Starship Troopers, Galaxy Quest, T3, The Matrix, The Matrix Reloaded and Van Helsing.
  5 KB (750 words) - 05:14, 29 July 2023
• Velocity
  :<math> E_{v} = \begin{matrix} \frac{1}{2} \end{matrix} mv^2 </math>
  4 KB (723 words) - 00:50, 1 November 2009
• Lie algebra
  ...a field '''k''' together with the [[commutator#Ring theory|commutator]] of matrix multiplication, i.e. <math>[A,B]=A\circ B -B\circ A</math>. A straightforw ...k, -Id in the upper right block, and 0 in the rest. A 2''n''&times;2''n'' matrix ''A'' is an infinitesimal symmetry of ''J'' if
  12 KB (1,918 words) - 20:29, 22 December 2011
• Discriminant of an algebraic number field
  Since any two '''Z'''-bases are related by a [[unimodular matrix|unimodular]] change of basis, the discriminant is independent of the choice
  1 KB (235 words) - 01:20, 18 February 2009
• Hybrid-pi model
  ...Bigg |_{v_{ce}=0} = \begin{matrix}\frac {I_\mathrm{C}}{ V_\mathrm{T} }\end{matrix} </math> is the [[transconductance]] in [[Siemens (unit)|siemens]], evaluat :* <math>V_\mathrm{T} = \begin{matrix}\frac {kT}{ q}\end{matrix}</math> is the ''[[Boltzmann constant#Role in semiconductor physics: the th
  13 KB (2,071 words) - 10:15, 1 July 2011
• Ring (mathematics)
  ...olynomial]]s of one variable with real coefficients, or a ring of square [[matrix|matrices]] of a given dimension. ...n</math> [[matrix|matrices]] forms a ring under componentwise addition and matrix multiplication. This ring is not commutative if ''n''>1.
  10 KB (1,667 words) - 13:47, 5 June 2011
• Modular form
  ...nteger]]s, <math>\mathrm{SL}_2(\mathbf{Z}))</math>, consisting of 2 by 2 [[matrix|matrices]] with integer entries and [[determinant]] 1, is referred to as th
  1 KB (235 words) - 19:47, 15 December 2010
• Crystal field theory
  ...bation theory]] suffices. This means that one must set up the perturbation matrix '''V''' of ''V''_oct on basis of the five d-orbitals, ...found). Nowadays, in the era of computers, it is easy to diagonalize this matrix numerically. In the days of Bethe this was not possible, so that he was for
  15 KB (2,390 words) - 10:11, 5 February 2010
• Affine space
  ...e basis of ''V'' into the other, hence it is a square regular (invertible) matrix. The real numbers ''t''_''i'' are the affine coordinates of ''O' the boldface capital indicates an ''n'' &times; ''n'' matrix.
  15 KB (2,366 words) - 09:09, 4 April 2010
• Mitochondrion
  ...nter-membrane space. The space enclosed within the inner membrane is the [[matrix]], a moderately dense region with strands of [[DNA]], [[ribosome]]s, or sma ...inter-membrane space is chemically like the [[cytosol]] while the internal matrix of the mitochondria contains a select set of molecules.<ref name=AlbertTheM
  14 KB (2,053 words) - 19:41, 16 October 2014
• Cellular respiration
  Produces [[acetyl-CoA]] from pyruvate inside the mitochondrial matrix. This oxidation reaction also releases carbon dioxide as a product. In the ...sent, acetyl-CoA enters the [[citric acid cycle]] inside the mitochondrial matrix, and gets oxidised to [[CO2]] while at the same time reducing [[Nicotinamid
  9 KB (1,309 words) - 04:08, 26 September 2007
• Hazard and Operability Study
  ==Matrix of guide words and process parameters== Table 2 presents an example matrix of which typical guide words are applicable to each of a typical set of pro
  14 KB (2,177 words) - 10:43, 8 April 2024
• Ohm's law
  ...tensor is a real number &sigma;₀ times a 3&times;3 [[identity matrix]]. The scalar &sigma;₀ is the [[conductivity coefficient]] and
  1 KB (225 words) - 02:06, 24 October 2009
• Multiplication
  ...There are natural multiplication operations on the [[complex number]]s, [[matrix|matrices]], [[tensor]]s, [[sequence]]s, and [[function]]s. multiplication is not always commutative in other contexts. For example, [[matrix multiplication]] is in general not a commutative operation:
  5 KB (638 words) - 14:16, 17 December 2008
• Since I've Been Loving You/Catalogs
  * 2000: Tequila & the Actual Matrix (''Radio Therapy'')
  1 KB (175 words) - 07:53, 24 October 2009
• Rayleigh-Ritz method
  ...ion into the functional at appropriate places, and using that the Hamilton matrix on basis of eigenvectors is diagonal with ''E''_''k'' on the diag ===Matrix eigenvalue problem===
  12 KB (1,893 words) - 04:51, 25 March 2010
• Derivative at a point
  ...near map and hence may be represented by a [[matrix]]. The entries in the matrix are the [[partial derivative]]s of the component functions of ''F''<sub>''j
  5 KB (861 words) - 14:04, 23 February 2011
• Capital Asset Pricing Model
  ...ssets, meaning, that they all use the same expected returns and covariance matrix.
  2 KB (242 words) - 20:23, 19 February 2010
• YTCracker/External Links
  ...findarticles.com/p/articles/mi_m0HJE/is_2_1/ai_66012329 Suspicious Minds.] Matrix: The Magazine for Leaders in Education. 1 Sep 2000.
  3 KB (352 words) - 01:18, 27 December 2013
• Number theory/Signed Articles/Elementary diophantine approximations
  == Matrix monoid <math>\mathit{SO}(\mathbb{Z}_+, 2)</math> == Obviously, the identity matrix
  35 KB (5,836 words) - 08:40, 15 March 2021
• Molecular orbital theory
  ...es decouple. The HF equations used then were in operator form&mdash;not in matrix form. ..., who wrote the HF equations in a basis of atomic orbitals, thus obtaining matrix equations. It is of course no coincidence that Roothaan performed this work
  20 KB (3,082 words) - 17:39, 9 December 2008
• Diabatic transformation
  By applying the [[Leibniz rule]] for differentiation, the matrix elements of ''T''_n are (where coordinates are suppressed for cl Assume that the off-diagonal matrix elements
  13 KB (1,922 words) - 07:19, 7 May 2010
• Levi-Civita tensor
  {{cite book |title=Matrix Methods and Vector Spaces in Physics |author=Vinod K. Sharma |url=http://bo
  2 KB (332 words) - 04:25, 12 October 2013
• Adsorbent chemistries
  ...gend: P: Polymer matrix, S: Solute molecule, L: ligand attached to polymer matrix, H: Hydrophobic patch on solute surface, W: Water in bulk solution. Water ...ix]]. The strength of interaction between the [[solute]] molecule and the matrix is related to its [[ion|ionic strength]] and to the ability of the salt ion
  17 KB (2,435 words) - 22:09, 18 December 2010
• Atomic electron configuration
  \begin{matrix} \end{matrix}
  21 KB (3,868 words) - 09:15, 6 March 2024
• Antisymmetrizer
  where '''B''' is the matrix where the matrix '''S''', in [[quantum chemistry]] known as the ''overlap matrix'', is given by
  15 KB (2,353 words) - 17:42, 9 December 2008
• Linear quadratic control
  ...ying <math>Q,\Gamma \geq 0 </math> and <math>R</math> is a given symmetric matrix (of the corresponding size) satisfying <math>R > 0 </math>. In this setting where <math>P_k</math> is a real non-negative definite symmetric matrix satisfying the ''backward recursion'':
  13 KB (2,418 words) - 05:46, 17 October 2013
• Span of control
  Matrix management is yet another complexity, where an individual may have a "home"
  2 KB (338 words) - 13:33, 29 May 2009
• Edward G. Jones
  ...n]] from [[layer V]] cortical neurons and the cells of the core and of the matrix of the dorsal thalamus, form a substrate for the synchronization of the dis ...d he was elected a member of the [[American Academy of Sciences]]. For his matrix-core theory of organization in consciousness and perception, he received th
  5 KB (781 words) - 07:20, 28 March 2023
• Cyberpunk
  ...behind "cyberpunk" peaked in the early to mid 1990s, movies such as [[The Matrix]] trilogy, [[Lawnmower Man]], and [[anime]] shows such as ".hack" have cont ...and the ideas involved (for example, the neural interface conveyed in the Matrix: the concept of "jacking in" through a direct link between the communicatio
  5 KB (763 words) - 18:31, 13 March 2024
• Curl
  As a vector-matrix-vector product: where the matrix has the following components:
  7 KB (1,067 words) - 07:27, 23 October 2021
• Ellipse/Citable Version
  :<math>\begin{matrix} \end{matrix}</math>
  23 KB (3,849 words) - 06:03, 29 August 2013
• Ellipse
  :<math>\begin{matrix} \end{matrix}</math>
  23 KB (3,852 words) - 20:27, 9 January 2021
• Rigid motion
  ...hich preserve distance. Hence they may be represented by the [[orthogonal matrix]] group ''O''(''n''). The orientation preserving maps are those of [[deter
  3 KB (392 words) - 14:42, 28 November 2008
• Elliptic curve
  <math>\left(\begin{matrix}a&b\\c&d\end{matrix}\right)\in SL_2(\mathbb{Z})</math> acts on the upper half plane via the [[m ...alf plane, such that for any <math>\gamma=\left(\begin{matrix}a&b\\c&d\end{matrix}\right)\in SL_2(\mathbb{Z})</math> we have
  10 KB (1,637 words) - 16:03, 17 December 2008
• Collaborative filtering
  The table below represents a User-Item Rating matrix for 4 users and 4 movies. Movies 'A-Team' and 'Salt' have more or less simi ...t to a certain user. Top-N recommendation techniques analyze the user-item matrix to correlate different users or items and use them to compute the recommend
  15 KB (2,211 words) - 06:47, 19 October 2013
• Angular momentum (classical)
  is in general not (a constant times) the [[identity matrix]], the two vectors, '''L''' and '''&omega;''', are in general not parallel, ...ime dependence of the position vectors of a rigid body has the following [[matrix]]-vector form
  23 KB (3,890 words) - 10:45, 11 June 2009
• Eckart conditions
  ...'''B''' relating the internal and external modes to the displacements. The matrix '''B''' may be partitioned in an internal (3''N''&minus;6 x 3''N'') and an We define the matrix '''M''' by
  20 KB (3,213 words) - 02:14, 23 February 2010
• Cubic equation/Proofs
  :<math>\begin{matrix} \end{matrix}</math>
  8 KB (1,339 words) - 11:08, 15 September 2009
• Spherical polar coordinates
  By direct matrix multiplication the matrix expression for the spherical polar coordinates of <math>\scriptstyle \vec{ The Cartesian metric tensor is the [[identity matrix]] and hence in Cartesian coordinates,
  27 KB (4,267 words) - 10:14, 8 April 2023
• Cytoskeleton
  microvilli]]), and participate in some cell-to-cell or cell-to-matrix junctions and in the [[transduction]] of signals. ...nd of the [[sarcomere]]s. They also participate in some cell-cell and cell-matrix junctions. Many intermediate filaments are made of [[vimentin]]s. Others, i
  6 KB (861 words) - 10:22, 24 January 2011
• Factor analysis
  :<math>\begin{matrix}x_{1,i} & = & \mu_1 & + & \ell_{1,1}v_i & + & \ell_{1,2}m_i & + & \varepsil \end{matrix}</math>
  16 KB (2,339 words) - 19:24, 29 September 2020
• Lambert W function
  ...begin{matrix}\frac{8}{3}\end{matrix}x^4 + \begin{matrix}\frac{125}{24}\end{matrix}x^5 - \cdots</math>
  14 KB (2,354 words) - 21:43, 25 September 2011
• Rigid rotor
  It is possible to write the Lagrangian in matrix form: ...r, which always can be chosen orthonormal, since the tensor is [[Symmetric matrix|symmetric]]. When the rotor possesses a symmetry-axis, it usually coincide
  25 KB (3,876 words) - 03:13, 1 October 2013
• Born-Oppenheimer approximation
  is over electronic coordinates only. By definition, the matrix with general element ...thbb{H}_\mathrm{e}(\mathbf{R})</math> is diagonal and the nuclear Hamilton matrix is non-diagonal with the following off-diagonal (''vibronic coupling'') ter
  20 KB (3,194 words) - 03:34, 8 November 2013
• Erlang (programming language)/Tutorials/Linda Sieve
  numbers in the matrix. If we are looking for the primes below io:format(" Loading ~w numbers into matrix (+N) \n ", [ Max ] ),
  8 KB (1,075 words) - 06:07, 29 November 2013
• Stark effect
  ...The first quantum mechanical treatment (in the framework of Heisenberg's [[matrix mechanics]]) was by Wolfgang Pauli<ref>W. Pauli, ''Über dass Wasserstoffsp ...theory the first-order energies are the eigenvalues of the ''g'' x ''g'' matrix with general element
  13 KB (2,036 words) - 18:38, 10 February 2010
• Fleiss' kappa
  ...nt. The Fleiss' kappa can be computed from the data [[Matrix (mathematics)|matrix]] (see example below) to show the degree of agreement between the psychiatr
  7 KB (939 words) - 12:41, 26 September 2007
• Schrödinger equation
  ===Relation to Heisenberg's matrix mechanics=== ...With such an expansion in hand, the Schrödinger equation can be recast in matrix form in a few steps. Substituting the expansion for the wavefunction into t
  17 KB (2,678 words) - 10:12, 9 May 2011
• Jahn-Teller effect
  ...are the eigenvalues of the ''f''_&mu;&times;''f''_&mu; matrix with general element In order to predict whether the matrix elements of ''V'' are vanishing, Jahn and Teller transformed the nuclear Ca
  21 KB (3,426 words) - 23:58, 27 October 2013
• Algebra
  ...humb|350px|[[Linear algebra]] lecture about [[determinant]]s and [[inverse matrix|inverse matrices]].]]--> ...hich the specific properties of [[vector space]]s are studied (including [[matrix (mathematics)|matrices]]);
  18 KB (2,669 words) - 08:38, 17 April 2024
• Vector product
  where <math>\left|\cdot\right|</math> denotes the determinant of a matrix. This determinant must be evaluated along the first row, otherwise the equa This implies that '''n'''&times;'''r''' can be written as a matrix-vector product,
  12 KB (1,961 words) - 13:04, 11 June 2009
• Tretinoin
  ...the synthesis of collagen and fibrillin while decreasing the production of matrix metalloproteinase.
  8 KB (1,264 words) - 09:46, 28 November 2013
• EMS VCS3
  ...[analog synthesizer]]; that is, it had patchable [[routing]] using a small matrix panel. The player would insert metal pins in this panel and connect section
  3 KB (477 words) - 07:46, 30 September 2013
• Current mirror
  ...1 \right) \left(1 + \begin{matrix} \frac{V_\mathrm{CB}}{V_\mathrm{A}} \end{matrix} \right) </math>, ::<math> R_N =r_O = \begin{matrix} \frac {V_A + V_{CB}} {I_C} \end{matrix} </math>,
  25 KB (4,187 words) - 10:12, 22 June 2011
• Rational number
  ...mber, which is to say, an ordinary integer, and a [[rational matrix]] is a matrix whose coefficients are rational numbers. [[Rational polynomial]] usually, a
  9 KB (1,446 words) - 08:52, 30 May 2009
• Fatty acid metabolism
  ...[[acyl]] [[CoA]] is transported into the mitochondrial [[matrix (biology)|matrix]]. This occurs via a series of similar steps:
  7 KB (1,029 words) - 16:31, 25 March 2010
• Advanced Encryption Standard
  The other two give diffusion, treating the 128-bit block as a four by four matrix of bytes (as did an earlier cipher from the same designers, [[Square (ciphe
  3 KB (507 words) - 05:48, 8 April 2024
• U.S. Intelligence and terrorism from 2000
  ====World-Wide Attack Matrix==== ...iefing held on September 15, 2001, where he presented the Worldwide Attack Matrix, a classified document describing covert CIA anti-terror operations in eigh
  11 KB (1,546 words) - 04:39, 5 April 2024
• Green's function
  It is illuminating to make the analogy with matrix equations. Let <math>\mathbb{L}</math> and <math>\mathbb{G}</math> be ''n'' then the solution of a matrix-vector equation is
  10 KB (1,681 words) - 12:22, 11 June 2009
• Group (mathematics)/Catalogs
  ** [[Matrix groups]]; e.g the [[general linear group]], the [[special linear group]],
  5 KB (819 words) - 10:52, 15 September 2009
• Spent nuclear fuel
  ...use of a uranium/thorium based fuel (²³³U in a ²³²Th matrix). Also present as a minor actinide is ²³⁷Np, this neptunium isot
  8 KB (1,357 words) - 12:52, 15 March 2024
• Chloroplast
  ...y)|membranes]], the interior of the inner membrane containing a semiliquid matrix, called [[stroma]], suspending a system of membranes, called [[thylakoid]]s
  4 KB (518 words) - 02:30, 7 March 2024
• Pascal's triangle
  ...e following text, we will call it the "Bernoulli triangle", even if this [[matrix]] does not resemble a triangle anymore ! ...d <math>\scriptstyle -1</math>. This is another hint that this object is a matrix. Each term in this row obeys the addition rule and the row rule. Some calcu
  32 KB (4,192 words) - 18:42, 3 March 2024
• Clebsch-Gordan coefficients
  ...the vector spaces involved, and then CG coefficients constitute a unitary matrix.
  11 KB (1,759 words) - 10:02, 2 August 2008
• Group theory
  ...examples of non-commutative multiplication arises in [[linear algebra]]. [[Matrix multiplication]] is not commutative (the product AB is not the same as BA). ...of all n-by-n [[invertible matrix|invertible]] real matrices together with matrix multiplication is a group. This group is called the [[general linear group]
  15 KB (2,535 words) - 20:29, 14 February 2010
• Solid harmonics
  Since the transformation is by a [[unitary matrix]] the normalization of the real and the complex solid harmonics is the same \begin{matrix}
  16 KB (2,612 words) - 09:02, 9 February 2010
• U.K. support for Iraq during the Iran-Iraq War
  ...lso rejected that Members of Parliament tried to bias the court trying the Matrix Churchill defendants. In particular, it singled out Attorney General Sir Ni ...rolled organizations in the U.K. and U.S. One established British company, Matrix Churchill was bought by Iraq, its British branch an important manufacturer
  28 KB (4,219 words) - 18:47, 3 April 2024
• Hund's rules
  ...rgy). If there is weak spin-orbit coupling it is useful to diagonalize the matrix of the corresponding spin-orbit operator within the ''L-S'' basis [consisti
  4 KB (593 words) - 09:31, 25 October 2009
• Spherical harmonics
  ...or example, a rotation by angle α about the ''z''-axis is described by the matrix: where the form following the arrow applies for very small angles α. The matrix ''R_z'' is called the ''generator'' of the ''z''-rotation. The fa
  34 KB (5,282 words) - 14:21, 1 January 2011
• Sine
  ...e the proof in long-hand notation and only indicate briefly the equivalent matrix form. The unit vectors and angles that play a role in the proof are depicte ...ression are equivalent to the multiplication of a row vector with a square matrix). Putting Eqs. (1) and (2) for '''e'''_{''x'' &quot;} in terms of t
  19 KB (3,106 words) - 09:53, 10 October 2013
• Radiochemistry
  ...ion of the wanted element ''and/or'' to allow the radioactivity due to the matrix elements to decay before the measurement of the radioactivity. ...enta and red respectively. In the first picture a sample containing black (matrix), green and blue atoms is obtained, the sample is processed to extract only
  13 KB (2,007 words) - 09:16, 6 March 2024
• Influenza A virus
  enzyme for virus particle assembly. Matrix protein surrounds the nucleocapsid and is envelope and matrix is digested and lowering of the pH causes HA protein to transform in a
  8 KB (1,273 words) - 11:16, 15 September 2013
• Flat file database
  ...am really stored the data table as a relevant data structure ([[array]], [[matrix]], [[vector]] of records, complex [[object]]...). Research data commonly constitute an observation matrix, in which each row is an observation vector, containing a standardized set
  10 KB (1,620 words) - 01:14, 7 June 2012
• Moller-Plesset
  ...on of the [[Slater-Condon rules]] for the simplification of ''N''-electron matrix ...[[canonical virtual orbitals]]. (Canonical orbitals diagonalize the [[Fock matrix]]). The quantities &epsilon;_''i'', &epsilon;_''j'', &e
  10 KB (1,419 words) - 20:40, 10 February 2010
• Magnetic moment
  ...or example, a rotation by angle α about the ''z''-axis is described by the matrix: where the form following the arrow applies for very small angles α. The matrix ''R_z'' is called the ''generator'' of the ''z''-rotation. The fa
  20 KB (3,045 words) - 11:21, 29 June 2011
• Gaussian type orbitals
  ...armonics]] (normalized to unity) can be defined by the following [[unitary matrix]]/vector expression \begin{matrix}
  15 KB (2,490 words) - 12:23, 19 April 2009
• Systems engineering
  ...he appropriate methodology to address issues in any category sector of the matrix. where it is anticipated that the solution is likely to involve design of s
  5 KB (675 words) - 10:50, 23 February 2024
• Polarizability
  ...pha;''' is expressed with respect to the very same coordinate system by a matrix, ...basis the polarizibility '''&alpha;''' is represented by another 3&times;3 matrix. This means that '''&alpha;''' is a second rank (because there are two indi
  12 KB (1,839 words) - 10:43, 5 October 2009
• United States intelligence community
  The matrix below is organized by intelligence disciplines. Some agencies collect infor
  6 KB (811 words) - 07:37, 18 March 2024
• Geotechnical engineering
  ...and the relative quantities of mineral, water and air present in the soil matrix. Fine particles (fines) are defined as particles less than 0.075 mm in diam ...'', which is the hydrostatic pressure of free water at a point in the soil matrix, is also important in soil mechanics.
  15 KB (2,155 words) - 16:26, 3 April 2010
• Tobacco
  ...smoke via the enhancement of inflammatory processes and the activation of matrix [[metalloproteases]].
  5 KB (678 words) - 08:07, 30 September 2016
• Entanglement (physics)
  Alice and Bob pretend that they know a 2×2 matrix ...ible. Nevertheless Alice commits herself to show on request any row of the matrix, and Bob commits himself to show on request any column. We expect the lie t
  24 KB (3,745 words) - 02:21, 26 October 2013
• Connectionism
  ...generally represented as a (N&times;N)-dimensional [[Matrix_(mathematics)|matrix]]. ...[gradient descent]] over an error surface in a space defined by the weight matrix. All gradient descent learning in connectionist models involves changing ea
  16 KB (2,332 words) - 07:08, 26 September 2007
• Streptococcus pyogenes
  ...ronic acid]], identical to that found in connective tissue [3].Within this matrix lies the group-specific antigen, which is composed of [[rhamnose]] and [[''
  13 KB (1,782 words) - 19:41, 31 July 2010
• Post irradiation examination
  == Degradation of an inert matrix in which an actinide is dispersed == ...t is possible that the fission fragments would be able to damage the metal matrix. A delightful experiment was done in the middle of the 20th century where i
  26 KB (4,299 words) - 04:37, 22 March 2014
• Tetraethyl lead
  ...cfv/PDF/MatrixMENAWAJan07.pdf West Asia, Middle East and North Africa Lead Matrix] a report issued by the United Nations Environmental Programme (UNEP)</ref>
  11 KB (1,697 words) - 12:58, 22 February 2012
• Real number
  ...ld is the field of real numbers. For example ''real [[matrix (mathematics)|matrix]]'', ''real [[polynomial]]'' and ''real [[Lie algebra]]''. ...ator]]s on a [[Hilbert space]] (for example, self-adjoint square complex [[matrix |matrices]]) generalize the reals in many respects: they can be ordered (th
  19 KB (2,948 words) - 10:07, 28 February 2024
• Gamma function
  \Gamma\left(\begin{matrix}\frac{1}{3}\end{matrix}\right) \Gamma\left(\begin{matrix}\frac{2}{3}\end{matrix}\right)
  32 KB (5,024 words) - 12:05, 22 December 2008
• Excavation
  ...mapped on its surface can be used to plot any individual finds within the matrix. ...where fossils are artefacts are found in hard sediments, the consolidating matrix is held together by [[lime]] or [[Calcium carbonate]]. For the removal of [
  12 KB (1,885 words) - 16:46, 4 April 2013
• Hermitian operator
  ...his problem is solvable (for instance by turning it into the corresponding matrix problem) and we obtain eigenvectors <math>\;|\Psi_j \rangle\;</math> of ''Q
  8 KB (1,273 words) - 11:29, 9 July 2009
• Liquid extraction
  Solvent Extraction is a process that separates components in a matrix by contact with another liquid. Typical extractions include, liquid-solid e
  6 KB (940 words) - 07:01, 18 November 2011
• Angular momentum (quantum)
  These [[Hermitian matrix|Hermitian matrices]] represent Hermitian operators on a two-dimensional [[l The commutation relations of these operators follow by matrix multiplication, for instance,
  16 KB (2,632 words) - 04:33, 23 September 2021
• Fuzzy subset
  * [[Fuzzy associative matrix]]
  6 KB (993 words) - 08:55, 30 May 2009
• Quantum computation
  where <math>U</math> is the characteristic unitary matrix of the gate.
  8 KB (1,344 words) - 23:59, 8 February 2010
• Exponent
  ...s, [[rational number]]s, [[real number]]s, [[complex number]]s, and even [[matrix|matrices]], [[set (mathematics)|set]]s, and other more complicated types of
  8 KB (1,297 words) - 14:49, 12 December 2008
• Culture (social)
  ...urning, perhaps in desperation, to similes, as a map, as a sieve, and as a matrix.<ref>Geertz 1973: 4-5</ref></blockquote>
  6 KB (893 words) - 10:42, 4 September 2013
• Nullor
  ...]] are all zero, that is, its input-output behavior is summarized with the matrix:
  7 KB (1,178 words) - 10:49, 10 June 2011
• Dense inert metal explosive
  ...ional Laboratory]]. "consists of a low-density, wrapped carbon-fiber/epoxy matrix integrated with a steel nose and base. The low-density composite case can s
  6 KB (834 words) - 14:40, 22 March 2024
• Cell membrane
  ...ight|710px|"Cartoon of a typical cell membrane. Proteins are embedded in a matrix of phospholipid molecules. Several other membrane constituents such as glyc
  8 KB (1,202 words) - 06:30, 8 June 2009
• Landscape ecology
  ...rridors while '''mosaic''' describes the pattern of patches, corridors and matrix that form a landscape in its entirety (Forman 1995).
  22 KB (3,022 words) - 20:24, 18 February 2009
• Molecular Hamiltonian
  ...ch is symmetric and may be diagonalized with an orthogonal 3''N'' x 3''N'' matrix with constant elements: see [[Wigner D-matrix#Properties_of_Wigner_D-matrix|this article]] for its expression in terms of [[Euler angles]]. The operato
  31 KB (4,757 words) - 02:20, 27 October 2013
• United States Strategic Command
  In a matrix management model, the Network Warfare component is built around capabilitie
  6 KB (893 words) - 16:23, 30 March 2024
• Prisoner's dilemma
  Each prisoner then constructs his personal payoff matrix on the following lines:
  7 KB (1,090 words) - 14:11, 8 June 2013
• Product operator (NMR)
  ...of equations, that is used in place of more complex, although equivalent, matrix multiplication. The formalism uses a [[rotating frame of reference]], in w
  8 KB (1,290 words) - 02:21, 16 February 2010
• Aikido
  ...urai class due to the [[Meiji restoration]] in the late 19th century, that matrix was disturbed. Jiujitsu fell into disrepute; if the techniques are taught i
  14 KB (2,293 words) - 09:00, 13 September 2019
• Johannes Gutenberg
  ...ck to front) is hammered into the soft metal copper, creating a mould or ''matrix''. This is then placed into a holder, and cast by filling with hot type-met The matrix can now be reused to create hundreds of identical letters, so that
  25 KB (3,813 words) - 01:01, 21 May 2021
• Register allocation by graph coloring
  ...he interference graph can be efficiently represented as a [[triangular bit matrix]].
  9 KB (1,338 words) - 10:00, 16 July 2013
• Italian support for Iraq during the Iran-Iraq War
  ...ian Government-owned bank agency in Atlanta, were transactions relating to Matrix Churchill and its takeover by Iraq, as well as several other firms, includi | title = Oil Sales to Iraq and more details on Matrix-Churchill Corp.
  14 KB (2,083 words) - 18:47, 3 April 2024
• Compression fracture
  ...cause compression, but more commonly, diseases that weaken the trabecular matrix within cancellous bone lower the threshold required to cause the bone to co
  7 KB (1,080 words) - 04:54, 21 March 2024
• Hydrogen-like atom
  \begin{matrix} \end{matrix}
  19 KB (2,981 words) - 18:31, 3 November 2021
• Symmetrizer
  where '''B''' is the matrix
  11 KB (1,655 words) - 09:52, 22 January 2009
• Magnetic induction
  ...ibility]] tensor'' '''&chi;''' is a constant times the identity 3&times;3 matrix, '''&chi;''' = {{nowrap|&chi;_m '''1'''.}} For an isotropic mediu
  9 KB (1,330 words) - 16:37, 31 March 2011
• Rabies virus
  ...e virus' genome encodes 5 proteins: nucleoprotein (N), phosphoprotein (P), matrix protein (M), glycoprotein (G), and polymerase (L). Glycoprotein acts as a c ...pikes do not cover the planar end.Within the envelope lies the membrane or matrix (M) protein layer, which may be invaginated at the planar end. The virion�
  20 KB (2,992 words) - 20:47, 9 June 2010
• Magnetic field
  where '''1''' is the 3&times;3 [[unit matrix]], '''&chi;''' the magnetic susceptibility tensor of the magnetizable mediu
  9 KB (1,428 words) - 08:19, 1 April 2011
• Pseudomonas aeruginosa
  ...protection. Biofilms are made of microcolonies that are buried in a dense matrix of exopolysaccharides. How exactly does the bacterial colony know to initia ...ony formation), and finally, these colonies are buried in an extracellular matrix to form a differentiated biofilm. The research points out that these differ
  17 KB (2,503 words) - 22:39, 27 October 2013
• Random number generator
  ...an just ab, cd, ef ... If the data is random, one expects all cells of the matrix to have approximately the same frequency values. However, many types of non Chi-squared is the standard technique for drawing inferences from such a matrix.
  23 KB (3,650 words) - 05:49, 8 April 2024
• Relative permittivity
  ...o a [[Cartesian coordinates|Cartesian coordinate system]] by a 3 &times; 3 matrix
  10 KB (1,481 words) - 22:20, 22 April 2011
• Thylakoid/Citable Version
  ...ditional information about chloroplasts and thylakoids.</ref> A semifluid matrix within the chloroplasts, called the [[stroma]], bathes the thylakoids. The
  9 KB (1,262 words) - 16:26, 23 September 2013
• Thylakoid
  ...ditional information about chloroplasts and thylakoids.</ref> A semifluid matrix within the chloroplasts, called the [[stroma]], bathes the thylakoids. The
  9 KB (1,262 words) - 09:17, 11 October 2013
• Staphylococcus epidermidis
  ...terial cells that are contained in an [[polysaccharide|exopolysaccharide]] matrix, the slime, to produce a very dense and protected environment from the host ...egies based on enzymic disruption of the extracellular polymeric substance matrix – a modelling study
  18 KB (2,382 words) - 03:24, 16 February 2010
• Alan Blumlein
  *Using hybrid transformers to matrix between left and right signals and sum and difference signals;
  8 KB (1,168 words) - 07:32, 20 April 2024
• CZ Talk:Editorial Council Rules of Procedure
  ...ture of subject matter areas on the other axis. Each intersection of this matrix at some defined level would be considered a specific "editorial working are
  21 KB (3,549 words) - 00:58, 28 April 2008
• Vitamin K
  ...Z]], the bone Gla-protein [[osteocalcin]], the calcification inhibiting [[matrix gla protein]] (MGP), the [[cell growth]] regulating growth arrest specific
  9 KB (1,333 words) - 07:35, 9 June 2009
• Thomas L. Saaty/Works
  ...is the way to compute the priority vector from the AHP pairwise comparison matrix. ...validating how a priority vector is calculated from a pairwise comparison matrix.
  20 KB (2,860 words) - 15:11, 2 October 2007
• U.S. support for Iraq during the Iran-Iraq War
  ...according to the ''Financial Times'', were Hewlett-Packard, Tektronix, and Matrix Churchill.<ref name=Baker1993 /> ...hnology transfer was the Iraqi-owned, British-based precision tooling firm Matrix Churchill, whose U.S. operations in Ohio were recently linked to a sophisti
  19 KB (2,954 words) - 18:47, 3 April 2024
• Gyromagnetic ratio
  ...ironment of a nucleus is called a "chemical shift" and used to explore the matrix surrounding the nucleus in the field of [[NMR spectroscopy|''nuclear magnet
  12 KB (1,762 words) - 09:02, 25 October 2013
• Number
  We can consider unitless [[vector]]s and unitless [[matrix|matrices]] as number sets, since they mathematically abstract phenomenas in
  11 KB (1,701 words) - 20:07, 1 July 2021
• Temperature
  :<math> E_k = \begin{matrix} \frac{1}{2} \end{matrix} mv^2 </math>
  23 KB (3,670 words) - 05:52, 15 March 2024
• Mathematical biology/Signed Articles/Biology's next microscope: Mathematics
  ...e-invention and naming of matrices in the mid- 19th century. The use of a matrix of numbers to solve simultaneous systems of linear equations can be traced ...(Mathematical imagery, such as a tetrahedron for applied mathematics and a matrix for biology, is useful even in trying to visualize the landscapes of biolog
  46 KB (6,635 words) - 13:25, 14 April 2021
• Vector space
  ...This helps when thinking of things such as [[orthogonal]] polynomials or [[matrix|matrices]].
  15 KB (2,506 words) - 05:16, 11 May 2011
• Dirac delta function
  The last property is the analogy of the multiplication of two [[identity matrix|identity matrices]],
  14 KB (2,220 words) - 12:28, 26 October 2021
• Theoretical biology/Bibliography
  ...ge analysis, epidemiology, immunology, time series analysis, extracellular matrix properties and signalling, and tissue engineering. This list is not exclusi
  10 KB (1,412 words) - 17:20, 20 October 2016
• Microbial cell and population biology
  ...etic [[diversity]], complex community interactions, and an [[extracellular matrix]] of [[polymer]]ic substances.
  20 KB (2,784 words) - 10:08, 2 April 2009
• Adaptive learning
  ...ion, questions have to be linked to all relevant concepts. For example, a matrix can list binary values (or even scores) for the intersection of every conce
  13 KB (1,938 words) - 10:30, 29 August 2008
• Quantization
  ...] '''g'''. Because the metric tensor is represented by the unit (identity) matrix in Cartesian coordinates, the latter fact is easily overlooked. One could
  13 KB (1,900 words) - 10:49, 30 November 2009
• Serratia marcescens
  ...hydrolysis; producing metalloproteinases which allow cell-to-extracellular matrix interaction. For different metabolic processes to function S. marcescens al
  11 KB (1,641 words) - 05:50, 15 September 2013
• Quantum mechanics/Advanced
  ...bfuscated. A 2005 biography of Born details his role as the creator of the matrix formulation of quantum mechanics. This was recognized in a paper by Heisenb ...5, when the German physicist [[Werner Heisenberg|Heisenberg]] developed [[matrix mechanics]] and the Austrian physicist [[Erwin Schrödinger|Schrödinger]]
  37 KB (5,578 words) - 04:54, 21 March 2024
• Jefferson Airplane
  ...5 Balin raised funds to establish a new nightclub, [[The Matrix (club)|the Matrix]] and soon after he met folk musician [[Paul Kantner]] at another local clu ...ting other musicians to form a group that would be the "house band" at the Matrix. Balin heard female vocalist [[Signe Toly Anderson]] at the Drinking Gourd
  41 KB (6,519 words) - 17:14, 6 March 2024
• Science fiction and religion
  ...an, and he’ll ask why you’re making minor alterations to the plot of [[The Matrix]] or [[Superman Returns]]. For reasons that have as much to do with global In ''The Matrix'', ""Hallelujah!” cries a minor character early in The Matrix, the 1999 [[cyberpunk]] flick, directed by Larry and Andy Wachowski, that t
  29 KB (4,500 words) - 15:01, 11 April 2014
• Candida albicans
  ...tivity and ligand-receptor functions. Fibrinogen, and many extra-cellular matrix components are among the host proteins held in place by cell wall proteins.
  12 KB (1,822 words) - 17:19, 10 November 2013
• Electrophoresis
  ...] or [[RNA]] probe then binds to its complementary [[DNA]] fragment in the matrix. Bands containing [[DNA]] that base-paired with the probe can then be easil
  15 KB (2,229 words) - 15:31, 16 December 2010
• Brain morphometry
  ...ed [[histology]] of the brain, neuroimaging data are generally stored as [[matrix|matrices]] of [[voxel]]s. The most popular morphometric method, thus, is kn ...metry (TBM) -- is based on the [[Jacobian determinant]] of the deformation matrix.
  27 KB (3,842 words) - 07:31, 20 April 2024
• Group (mathematics)
  ...r multiplication. Other important examples are the group of non-singular [[matrix (mathematics)|matrices]] under multiplication and the group of [[Inverse fu
  19 KB (3,074 words) - 11:11, 13 February 2009
• Joint Tactical Radio System
  These groupings matrix against a set of physical packaging requirements.
  13 KB (1,859 words) - 16:22, 30 March 2024
• Health care quality assurance
  ...JW, Quinn DC, Richardson MG, Miles PV, Gabbe SG| title=Using a healthcare matrix to assess patient care in terms of aims for improvement and core competenci
  29 KB (4,043 words) - 13:22, 2 February 2023
• Normal distribution
  ...the [[Trace (linear algebra)|trace]] of a 1&times;1 [[Matrix (mathematics)|matrix]] than as a mere scalar. See [[estimation of covariance matrices]].
  46 KB (6,956 words) - 07:01, 9 June 2009
• Geographic Information System
  ...function that combines the values of each raster's [[matrix (mathematics)|matrix]]. This function may weigh some inputs more than others through use of an " ...f [[statistics]] is the use of [[graph theory]] and [[Matrix (mathematics)|matrix algebra]] to reduce the number of parameters in the data being analyzed. Th
  41 KB (6,343 words) - 17:02, 22 March 2024
• Cooking
  ...to beating with a whisk. The formation of a relatively rigid but flexible matrix from egg white provides an important component of much [[cake]] cookery and
  13 KB (1,979 words) - 08:30, 24 September 2023
• Concrete
  ...at low stress levels but becomes increasing [[Nonlinearity|non-linear]] as matrix cracking develops. The elastic modulus of the hardened paste may be in the ...to prevent the formation of free calcium hydroxide crystals in the cement matrix, which might reduce the strength at the cement-aggregate bond.
  44 KB (6,586 words) - 07:31, 20 April 2024
• Geotechnical investigation
  ...perties. Some soil properties are intrinsic to the composition of the soil matrix and are not affected by sample disturbance, while other properties depend o
  16 KB (2,466 words) - 14:20, 26 September 2007
• Mathematics
  ...n{matrix} (1,2,3) & (1,3,2) \\ (2,1,3) & (2,3,1) \\ (3,1,2) & (3,2,1) \end{matrix}</math> || <!--[[Image:DFAexample.png|96px]] -->|| <!--[[Image:Caesar3.png|
  30 KB (4,289 words) - 16:03, 20 January 2023
• Russell-Saunders coupling
  ...t ''LS'' coupling achieves a considerable [[block diagonalization]] of the matrix of a Hamiltonian in which spin-orbit coupling is absent.
  22 KB (3,334 words) - 05:36, 6 March 2024
• MPEG-1
  ...to the other, provided a couple restrictions (color space and quantization matrix) are followed in the creation of the bitstream.<ref name=smith_transcoding> ...nt or unimportant each piece of visual information is. Each number in the matrix corresponds to a certain frequency component of the video image.
  60 KB (8,883 words) - 02:16, 18 November 2009
• Anonymity/Bibliography
  * Bartels, A., Schultze, M., & Stopi*nska, A. (2006). Re/defining the matrix : reflections on time - space - agency. Frankfurt am Main ; New York: Peter
  12 KB (1,650 words) - 11:22, 9 March 2008
• Fluid catalytic cracking
  A modern FCC catalyst has four major components: crystalline [[zeolite]], matrix, binder and filler. Zeolite is the primary active component and can range f The matrix component of an FCC catalyst contains amorphous alumina which also provides
  31 KB (4,755 words) - 09:16, 6 March 2024
• Neisseria meningitidis
  ...aggregate together. This action results in the production of an adhesive matrix that permits surface attachment (e.g. to a host). Within a number of the e
  14 KB (2,090 words) - 09:50, 19 September 2013
• Wind turbine
  : <math>P = \begin{matrix}\frac{1}{2}\end{matrix}\alpha\rho\pi r^2 v^3</math>
  32 KB (5,126 words) - 19:24, 18 February 2024
• Dolly Sods Wilderness
  ...w birch, alder, maple, hemlock, black cherry and mountain ash trees amid a matrix of heath-type bushes. Views across the tundra-like windswept open meadows i
  14 KB (2,240 words) - 12:53, 9 August 2023
• Conditioning (probability)
  Another example. A [[Rotation matrix#Uniform random rotation matrices|random rotation]] of the three-dimensional
  32 KB (5,149 words) - 15:48, 29 June 2009
• AES competition
  The other two give diffusion, treating the 128-bit block as a four by four matrix of bytes:
  21 KB (3,252 words) - 05:49, 8 April 2024
• Extended cognition
  ...from their ancestors is not a mind, but the ability to develop a mind," a "matrix of resources that serve as the actual physical causes of development."<ref
  19 KB (2,756 words) - 12:15, 7 April 2014
• Ear
  ...om another part of the body (generally, rib cartilage) is used to form the matrix of the ear, and skin grafts or rotation flaps are used for the covering ski
  19 KB (3,127 words) - 03:54, 20 July 2013
• Printing press
  ...utenberg used what some considered his most ingenious invention, a special matrix wherewith the moulding of new movable types at short notice became feasible
  17 KB (2,737 words) - 07:33, 20 April 2024
• Parainfluenza virus
  ...oteins and glycoproteins whereas the inner layer contains non glycosylated matrix protein M. The spikes's glycoproteins contain hemagglutinin neuraminidase H
  17 KB (2,584 words) - 00:51, 25 October 2013
• Gasoline/Citable Version
  ...cfv/PDF/MatrixMENAWAJan07.pdf West Asia, Middle East and North Africa Lead Matrix] a report issued by the United Nations Environmental Programme (UNEP)</ref>
  42 KB (6,350 words) - 07:31, 20 April 2024
• Gasoline
  ...cfv/PDF/MatrixMENAWAJan07.pdf West Asia, Middle East and North Africa Lead Matrix] a report issued by the United Nations Environmental Programme (UNEP)</ref>
  42 KB (6,354 words) - 07:31, 20 April 2024
• Phosphorus/Citable Version
  ...the cell's surrounding. Biological membranes are made from a phospholipid matrix and proteins, typically in the form of a bilayer. Phospholipids are derive
  19 KB (2,983 words) - 05:36, 6 March 2024
• Phosphorus
  ...the cell's surrounding. Biological membranes are made from a phospholipid matrix and proteins, typically in the form of a bilayer. Phospholipids are derive
  19 KB (2,982 words) - 05:36, 6 March 2024
• Management
  Matrix management, however, breaks the strict relationship between manager and man
  17 KB (2,398 words) - 07:32, 18 March 2024
• Atom (science)
  ...his theory to many-electron systems led a decade later to [[Heisenberg]]'s matrix mechanics and [[Schrödinger]]'s [[quantum mechanics|wave mechanics]].
  18 KB (2,789 words) - 20:34, 27 October 2020
• Energy (science)
  \begin{matrix} \end{matrix}
  43 KB (7,032 words) - 15:15, 15 August 2022
• Proof assistant
  ...and "Complete_Lattice") and 48 folders (such as "Algebra", "Hahn_Banach", "Matrix" and "Probability"), about 900 theory files in the total.
  21 KB (3,291 words) - 16:07, 3 November 2013
• Instrumentation for radioactivity
  ...ving a known current flow. The ₂₄₁Am is"embedded in a gold foil matrix...made by rolling gold and americium oxide ingots together to form a foil a
  20 KB (2,892 words) - 16:53, 24 March 2024
• NoSQL
  ...QL.jpg|right|400px|Emil Eifrem referred to characters from the movie ''The Matrix'' in a talk in July 2010 to demonstrate how data engineers are coping with
  46 KB (7,002 words) - 07:32, 18 September 2010
• Pachygyria
  ...the brain cells begin to develop in the periventricular region ([[germinal matrix]]) and then migrate from medial to lateral, to form the cerebral cortex.
  22 KB (3,035 words) - 09:44, 20 February 2024
• Augustin-Louis Cauchy
  ...Mathématiques, vol. '''2''', p. 42 (1827)</ref> a 3 &times; 3 symmetric [[matrix]] of numbers that is now known as the [[stress tensor|Cauchy stress tensor]
  20 KB (3,286 words) - 12:52, 24 August 2013
• Augustin-Louis Cauchy/Citable Version
  ...Mathématiques, vol. '''2''', p. 42 (1827)</ref> a 3 &times; 3 symmetric [[matrix]] of numbers that is now known as the [[stress tensor|Cauchy stress tensor]
  20 KB (3,295 words) - 12:51, 24 August 2013
• Homeostasis (biology)
  ...body weight. Cannon considered also the chemical composition of that fluid matrix (or 'internal environment'), as well as its physical characteristics, such ...e natural surroundings of these parts, their internal environment or fluid matrix. That is the common intermedium which, as a means of exchange of materials,
  48 KB (7,109 words) - 14:33, 19 August 2014
• Adiposopathy
  ...dissolving and reforming the structures around fat tissue ([[extracellular matrix]]); (4) generation, storage and release of [[fat]]; (5) [[growth factor]] p
  22 KB (3,243 words) - 08:33, 17 April 2024
• Trigonometric function
  : <math> \begin{matrix} \end{matrix} </math>
  33 KB (5,179 words) - 08:26, 4 June 2010
• Philosophy
  ...l reflection on and around topics of popular culture - movies like ''[[The Matrix]]'' have served as hooks for philosophers to discuss everything from abstra
  27 KB (4,246 words) - 14:30, 31 March 2024
• Note (music)
  ...) in §8.4.2 Encoding of a discrete model of music (MIDI) into a transition matrix |isbn=3642195911 |year=2011 |publisher=Springer |author=Philippe Blanchard,
  30 KB (4,652 words) - 02:22, 27 October 2013
• Entropy (thermodynamics)
  ...trace (mathematics)|trace]] (Tr) of an operator is the sum of its diagonal matrix elements.
  36 KB (5,928 words) - 10:21, 8 July 2019
• Archive:Citizen/V1-N2
  * [[Matrix inverse]]
  25 KB (3,396 words) - 13:29, 2 April 2024
• Intelligence analysis
  :#Prepare a matrix with hypotheses across the top and evidence down the side. Analyze the "dia :#Refine the matrix. Reconsider the hypotheses and delete evidence and arguments that have no d
  61 KB (9,303 words) - 07:31, 18 March 2024
• Borna disease virus
  ...pond to a nucleoprotein 40-kDa p40 (N); a phosphoprotein 23-kDa p23 (P); a matrix protein 16-kDa p16 (M); a glycoprotein 57-kDa p57 (G); and an L-polymerase
  28 KB (4,083 words) - 03:50, 14 February 2010
• Chemical bond
  ...ce bond calculation it is necessary to evaluate ''N'' electron integrals ("matrix elements") of the molecular energy operator ''H'' ("Hamiltonian"), which i
  37 KB (5,836 words) - 05:36, 6 March 2024
• Intelligence collection management
  ...s from {{Harv | FM 2.22-3 | Appendix B, Source and Information Reliability Matrix}}. Raw reports are typically given a two-part rating by the collection depa
  34 KB (5,215 words) - 14:05, 8 August 2010
• Cosmetic surgery
  The natural matrix of skin lies below the epidermis in the dermis. The main fiber filling the
  31 KB (4,739 words) - 09:45, 24 July 2011
• Allostasis and allostatic load/Bibliography
  ...rg/10.2217/14622416.7.3.455 [doi] Linear data mining the Wichita clinical matrix suggests sleep and allostatic load involvement in chronic fatigue syndrome. ...in this issue [1] , as well as some sleep-related variables. Nonetheless, matrix linear algebra-based data mining approaches appeared to be of limited utili
  243 KB (35,084 words) - 07:35, 10 April 2024
• Block cipher
  ...IDEA]] uses multiplication modulo 2¹⁶+1 and [[#AES | AES]] does matrix multiplications with polynomials in a [[Galois field]].
  53 KB (8,371 words) - 05:48, 8 April 2024
• Rheumatoid arthritis
  ...The Prosorba column employs protein A covalently bound to an inert silica matrix. The protein A binds immunoglobulin G (IgG) and circulating immune complexe
  38 KB (5,208 words) - 09:02, 1 March 2024
• Social capital
  ..."[http://www.statistics.gov.uk/socialcapital/downloads/soccaplitreview.pdf Matrix of United Kingdom Surveys with a Social Element]," Appendix 2 of ''Social C
  46 KB (6,683 words) - 12:35, 7 May 2024
• Social capital/Citable Version
  ..."[http://www.statistics.gov.uk/socialcapital/downloads/soccaplitreview.pdf Matrix of United Kingdom Surveys with a Social Element]," Appendix 2 of ''Social C
  46 KB (6,686 words) - 12:35, 7 May 2024
• Intermolecular forces
  ...n gives a very similar expansion for the electrostatic energy, because the matrix element factorizes, Thus, the ''multipole-expansion of the electrostatic in
  56 KB (8,720 words) - 07:31, 20 April 2024
• Multiple sclerosis
  ...more activation of cytokines and other destructive [[protein]]s such as [[matrix metalloproteinase]]s.
  52 KB (7,594 words) - 17:09, 21 March 2024
• Neurotoxin
  ...nd Harald Sontheimer (2003) "Chlorotoxin Inhibits Glioma Cell Invasion via Matrix Metalloproteinase-2." ''The Journal of Biological Chemistry,'' '''278''' (6
  68 KB (9,222 words) - 10:27, 1 April 2024
• Life
  ...spatiotemporally dynamically interacting in self-organizing networks in a matrix of the chemical compound, [[water]]. On Earth, in a water-based medium embe ...ocal environmental factors (such as the state of neighboring cells, tissue matrix, stem cell physiological processes) on their behavior. In such systems, eme
  194 KB (28,649 words) - 05:43, 6 March 2024
• Vitamin C
  ...almost exclusively present in primates, might strengthen the extracellular matrix and compensate to some extent the relative lack of collagen and elastin syn
  87 KB (12,868 words) - 00:29, 15 September 2013
• Life/Citable Version
  ...ocal environmental factors (such as the state of neighboring cells, tissue matrix, stem cell physiological processes) on their behavior. In such systems, eme
  150 KB (22,449 words) - 05:42, 6 March 2024