distinguish alternating sign matrix In linear algebra , an alternant matrix , is a matrix math matrix with a particular structure, in which successive columns have a particular function applied to their entries. An alternant determinant is the determinant of an alternant matrix. Such a matrix of size m × n matrix may be written out as math M begin bmatrix f 1 alpha 1 & f 2 alpha 1 & dots & f n alpha 1 f 1 alpha 2 & f 2 alpha 2 & dots & f n alpha 2 f 1 alpha 3 & f 2 alpha 3 & dots & f n alpha 3 vdots & vdots & ddots & vdots f 1 alpha m & f 2 alpha m & dots & f n alpha m end bmatrix math or more succinctly math M i,j f j alpha i math for all indices i and j . Some authors use the transpose of the above matrix. Examples of alternant matrices include Vandermonde matrix Vandermonde matrices , for which math f i alpha alpha i 1 math and Moore matrices for which math f i alpha alpha q i 1 math . If math n m math and the math f j x math functions are all polynomials we have some additional results if math alpha i alpha j math for any math i j math then the determinant of any alternant matrix is zero as a row is then repeated , thus math alpha j alpha i math divides the determinant for all math 1 leq i j leq n math . As such, if we take math V begin bmatrix 1 & alpha 1 & dots & alpha 1 n 1 1 & alpha 2 & dots & alpha 2 n 1 1 & alpha 3 & dots & alpha 3 n 1 vdots & vdots & ddots & vdots 1 & alpha n & dots & alpha n n 1 end bmatrix math a Vandermonde matrix then math prod i j alpha j alpha i det V math divides such polynomial alternant determinants. The ratio math frac det M det V math is called a bialternant. In the case where each function math f j x x m j math , this forms the classical definition of the Schur polynomial s. Alternant matrices are used in coding theory in the construction of alternant code s. See also List of matrices References cite book author Thomas Muir authorlink Thomas Muir mathematician title A treatise on the theory of determinants date 1960 publisher ... more details
Merge from Matrix biology date May 2010 Unreferenced date December 2009 In biology , matrix plural matrices is the material or tissue between animal or plant cell biology cells , in which more specialized structures are embedded, and a specific part of the mitochondrion that is the site of oxidation of organic molecules. The internal structure of connective tissue s is an extracellular matrix . Finger nail s and toenail s grow from matrices. Tissue matrices Extracellular matrix Main Extracellular matrix The molecules forming the glue between cells in connective tissues are summarily referred to as the extracellular matrix. Bone matrix Main Osteon Bone is a form of connective tissue found in the body and has a storage area, or osteon region, also called matrix that allows mineral salts such as calcium to be stored. Subcellular matrices Mitochondrial matrix Main Mitochondrial matrix In the mitochondrion , the matrix contains soluble enzymes that catalysis catalyze the oxidation of pyruvic acid pyruvate and other small Organic chemistry organic molecule s. Nuclear matrix Main Nuclear matrix In the cell nucleus the matrix is the insoluble fraction that remains after extracting the solubled DNA . Golgi matrix The Golgi matrix is a protein scaffold made up of golgin s on the cytoplasm ic side of the Golgi apparatus involved in keeping its shape and membrane stacking. Matrix medium A matrix is also a Growth medium medium in which bacteria are grown cultured . For instance, a Petri dish of agar may be the matrix for culturing a sample swab bed from a patient s throat. See also Matrix biology Matricity Tissues and cells Germinal matrix Hair matrix cell Molecular biology Matrix attachment region Matrix metalloproteinase Matrix protein Bioinformatics and sequence evolution PAM matrix Position specific scoring matrix Similarity matrix Substitution matrix Botany and agriculture Matrix Planting Population biology and ecology Matrix population models DEFAULTSORT Matrix Biology Category ... more details
Data matrix can refer to Matrix mathematics A rectangular array of elements Data matrix statistics A matrix, generally of numbers, representing data used in statistical analysis Data matrix computer An encoded barcode. Data set A collection of data in tabular form. Data matrix multivariate statistics A mathematical Matrix mathematics matrix of data whose rows represent different repetition of an experiment, and whose columns represent different kinds of datum taken for each repetition. dab ... more details
DISPLAYTITLE Agent The Matrix Original research date May 2008 Unreferenced date May 2008 Image Matrix ... in The Matrix franchise the Matrix series . They are sentient computer programs, displaying high ... within the Matrix fictional universe . They are guardians within the computer generated world of the Matrix fictional universe Matrix . Something akin to the anti virus of the Matrix, guarding it from ... Headphones earpiece . However, in Matrix Reloaded and Matrix Revolutions, Agent Smith wears ... unlike the other Agents, but he did have the same appearance and attire from the The Matrix ... exception of African American Agent Perry and female Agent Pace from The Matrix Online game , which .... Matrix Agents carry Desert Eagle handguns in shoulder holsters that are concealed beneath their suits ... a Minigun as seen in the first The MatrixMatrix film. They seem to be impervious to pain, or to have ..., Agents can bleed Morpheus cuts an Agent on Matrix reloaded in the cheek with a sword . However, this death ... body, as agents have the ability to take over Bluepill s humans directly connected to the Matrix. Hence ... of the Matrix, and as a result, they must obey the laws of physics set within the Matrix s world ... have been a temporary rewrite of the code of Neo s RSI from the source rather than a regular ... encountering one, they are cautioned to escape. According to Morpheus The Matrix Morpheus , in the time before Neo The Matrix Neo was freed from the Matrix, every human that had stood their ground ... Agents Brown and Jones into fleeing. It is implied in the game Enter the Matrix that one of the main ... the tables on his foe after he was thrown off himself due to the unexpected arrival of Niobe The Matrix ... in the Matrix series Ghost Ghost has also defeated a single Agent during a raid on a nuclear ... servers with small arms fire and threw his opponent into it, electrocuting him. Trinity The Matrix ... In the first Matrix movie, Agents Jones Robert Taylor Australian actor Robert Taylor and Brown ... more details
In linear algebra , a Vandermonde matrix , named after Alexandre Th ophile Vandermonde , is a matrix math matrix with the terms of a geometric progression in each row, i.e., an m × n matrix math V begin bmatrix 1 & alpha 1 & alpha 1 2 & dots & alpha 1 n 1 1 & alpha 2 & alpha 2 2 & dots ... indices i and j . ref Roger A. Horn and Charles R. Johnson 1991 , Topics in matrix analysis, Cambridge University Press. See Section 6.1 ref Some authors use the transpose of the above matrix. The determinant of a square Vandermonde matrix where m n can be expressed as ref For a proof ... use a generalization called confluent Vandermonde matrices , which makes the matrix positive definite matrix positive definite Invertible matrix non singular while retaining most properties. If sub ... n , then the matrix V has maximum rank of a matrix rank m if and only if all sub i sub are distinct. A square Vandermonde matrix is thus invertible matrix invertible if and only if the sub i ... matrix with applications last Turner first L. Richard url http ntrs.nasa.gov archive nasa ... Monthly, Vol. 65, No. 2 ref ref http www.proofwiki.org wiki Inverse of Vandermonde 27s Matrix Inverse of Vandermonde Matrix ProofWiki ref Applications The Vandermonde matrix evaluates a polynomial ... equations Vu y for u with V an m n Vandermonde matrix is equivalent .... , math The Vandermonde matrix can easily be inverted in terms of Lagrange basis polynomials ref Cite ... the properties of a BCH code . Confluent Vandermonde matrices are used in Hermite interpolation . A commonly known special Vandermonde matrix is the discrete Fourier transform matrix DFT matrix , where ... matrix diagonalizes a companion matrix . See also Alternant matrix Lagrange polynomial ... matice de Vandermonde Matrix es Matriz de Vandermonde fr Matrice de Vandermonde ko it Matrice di Vandermonde hu Vandermonde determin ns nl Vandermonde matrix pl Macierz Vandermonde a pt ... more details
refimprove date February 2010 file Datamatrix.svg thumb An example of a Data Matrixcode, encoding the text Wikipedia, the free encyclopedia file Semapedia.jpg thumb Reading Data Matrixcode with mobile phone Semacode project file Matrix 46.PNG thumb Marking surfaces A Data Matrixcode is a two dimensional matrix mathematics matrix barcode consisting of black and white cells or modules arranged in either ... components of major systems must be permanently marked with a unique data matrixcode in accordance .... After creation of the Data Matrixcode, the code is usually verified using specialist camera ... Matrixcode can then be read by a reader camera, which decodes the Data Matrix data which can ... Industrial Data Matrixcode readers Although this is a free standard, there are no free documents ... data depends on the number of cells in the matrix. Error correction codes are often used to increase .... A Data Matrix symbol can store up to 2,335 alphanumeric characters. Data Matrix symbols are rectangular ... versa. Every Data Matrix is composed of two solid adjacent borders in an L shape called the finder ... thumb Application of Data Matrix for Digital Postmarks digital postmarks STAMPIT by Deutsche Post file Siemens Universal Reader.JPG thumb Universal industrial code reader The most popular application for Data Matrix is marking small items, due to the code s ability to encode fifty characters in a symbol that is readable at 2 or 3 mm sup square algebra 2 sup and the fact that the code can be read with only a 20 contrast ratio. The Data Matrix is scalable, with commercial applications ... using Data Matrix for labeling small electronic components. ref name Stevenson cite news first Rick last Stevenson url http pcdandm.com pcdmag mag 0512 0512stevenson.pdf title Laser Marking Matrix Codes ... PDF ref I d like a better reference for this, preferably a statement on the EIA website. Data Matrix ... serviceable parts. Data Matrix codes and accompanying alpha numeric data identify details of the component ... more details
the Prime Program , a program code required to maintain the Matrix, allowing the Matrix ...in universe date February 2012 Primary sources article date January 2008 Zion is a fictional city in The Matrix franchise The Matrix films. It is the last human city on the planet Earth after a cataclysmic ... into the newly constructed bio electric towers with their minds placed in the Matrix fictional universe Matrix to keep them docile. Twenty three prisoners were freed by a mysterious Matrix controlling figure referred to as Neo The Matrix The One and led to the unfinished Zion where they worked to complete ..., and to fight inside and outside the Matrix. After the One s death, the humans learned to survive ... time trying to free the Matrix s population from their virtual prison . Geography refimprove date .... It contains many areas where homeless or new arrivals rescued from the Matrix gather to live ... fight the Machines in the real world with EMP weapons, with crews fighting to free the Matrix s captive human population by journeying into the Matrix itself. EMP devices, despite being ... moment by the Architect The Matrix Architect when he wanted to reload the Matrix. Leadership The city ... characters in the Matrix series Lock Commander Jason Lock . The captains of the Zion Hovercraft ... characters in the Matrix series Councilor Hamann Councilor Hamann being the only white male on the council ... and manipulator of the Matrix, manipulated the situation so Zion served as a control for the survival ... not, accept the Matrix for what it was to live in the physical world without having to recapture them this reduced dissent within the Matrix s population and prevented an exponentially growing ... system, allowing the humans that realized the Matrix wasn t real statistically, only a fraction ... brokered the truce with the Machines. See also Simulated reality References reflist Matrix Category The Matrix franchise Category Fictional populated places Category Fictional subterranea Category ... more details
The Carver matrix can refer to CARVER matrix a military based target acquisition system Harris matrix Carver matrix Carver matrix seriation diagram named after Martin Carver which is designed to represent the time lapse in use of recognizable archaeological entities such as floors and pits. disambig ... more details
dablink This page is about the use of a stochastic matrix to model evolution in bioinformatics. For the economics concept also called the Slutsky matrix, see the article Slutsky equation . More footnotes article date October 2009 In bioinformatics and evolutionary biology , a substitution matrix describes ... in the matrix. Background In the process of evolution , from one generation to the next the amino ... code , which translates similar codons into similar amino acids. Furthermore, mutating an amino .... To this end, we will construct a 20x20 matrix where the math i,j math th entry is equal ... acid in a certain amount of evolutionary time. There are many different ways to construct such a matrix, called a substitution matrix . Here are the most commonly used ones Identity matrix The simplest possible substitution matrix would be one in which each amino acid is considered maximally similar to itself, but not able to transform into any other amino acid. This matrix would look like math ... & cdots & 0 & 1 end bmatrix math This identity matrix will succeed in the alignment of very similar ... of transformation in what are called log odds Score statistics score s. The scores matrix S is defined ... of the logarithm is not important, and you will often see the same substitution matrix expressed ... Point Accepted Mutation matrix was developed by Margaret Oakley Dayhoff Margaret Dayhoff in the 1970s. This matrix is calculated by observing the differences in closely related proteins. The PAM1 matrix estimates what rate of substitution would be expected if 1 of the amino acids had changed. The PAM1 matrix is used as the basis for calculating other matrices by assuming that repeated mutations would follow the same pattern as those in the PAM1 matrix, and multiple substitutions can occur ... 30 and the PAM70 are used. A matrix for divergent sequences can be calculated from a matrix for closely related sequences by taking the second matrix to a power. For instance, we can roughly approximate ... more details
The term matrix model may refer to one of several concepts In theoretical physics , a matrix model is a system usually a quantum mechanics quantum mechanical system with matrix math matrix valued physical quantity physical quantities . See, for example, Lax pair . The old matrix models are relevant for string theory in two spacetime dimensions. The new matrix model is a synonym for Matrix theory physics Matrix theory . Matrix population models are used to model wildlife and human population dynamics. The Matrix Model of substance abuse treatment was a model developed by the Matrix Institute in the 1980s to treat cocaine and methamphetamine addiction. A concept from Algebraic logic . The term Matrix model is used to describe Matrix management where each worker in an organisation has two managers, one functional managing their expertise, the other executive managing their work on an a project. disambiguation Category Mathematical disambiguation ... more details
January 2011 orphan January 2010 The Laffey Matrix is a fee schedule used by many United States courts for determining the proper hourly rates for professional legal work. wiktionary matrix Overview For many years the United States Attorney s Office has used the Laffey Matrix USAO Laffey Matrix as a basis for determining attorneys fees in litigation claims. This matrix was first introduced by the court ... area. Courts in the United States look to the Laffey Matrix when they award attorneys fees under ... has been a routinely updated United States Attorney s Office Matrix a table which provides ... DOJ continues to use a version of the Laffey Matrix, whereby a legal fee matrix from the Court ... Adjusted Laffey Matrix. See McDowell v. District of Columbia, Civ. A. No. 00 594 RCL , LEXSEE 2001 ... Laffey Matrix. Interfaith Community Organization v. Honeywell International, Inc., 426 F.3d 694 3rd Cir. 2005 . In updating the matrix to account for inflation from 1989 2003, ICO relied on the legal ... of Appeals noted that the District Court reviewed both indices the DOJ Matrix and the Adjusted Laffey Matrix and decided that the Adjusted Laffey Matrix represented a better measure of prevailing ... Attorney s Laffey Matrix with a matrix similar to that put forward by ICO in this case and concluded ... Matrix in Robinson v. Equifax Information Services, LLC, 560 F.3d 235 4th Cir. 2009 , requiring instead ... Federal courts have accepted the same methodology, adjusting the Laffey Matrix upwards based upon the higher ... reliable official source for rates that vary by experience levels is the Laffey matrix used in the District ... have rejected the Adjusted Laffey Matrix, particularly for cases in the Washington Baltimore region, and instead continue to rely on the original Laffey Matrix also known as the USAO Laffey Matrix ... courts and expert economists continue to rely on the original Laffey Matrix for litigation cases in the DC ..., 119 1987 . In addition to affidavits and prior fee settlements, the Laffey Matrix is very useful as a guide ... more details
For the American company Matrix Games Infobox company company name Matrix Software br company logo File matrixlogo.png company type Public company Public foundation July 1994 location Tokyo ... www.matrixsoft.co.jp nihongo Matrix Software Kabushiki gaisha Matorikkusu is a Japanese video ... of systems beginning with their Action adventure game title Alundra in April 1997. Matrix has teamed ... console development, Matrix Software has also made games for various Japanese mobile phone brands since 2001. Company history Matrix Software was founded in July 1994 by Oohori Kousuke and three ... cite web url http www.matrixsoft.co.jp company history.html title Matrix Software Company History year 2008 accessdate 2009 05 03 publisher Matrix Software language Japanese ref Kousuke, a veteran of the game ... cite web url http www.matrixsoft.co.jp company president.html title Matrix Software Company Profile President year 2008 accessdate 2009 05 03 publisher Matrix Software language Japanese ref Nearly ... Matrix Software Products Alundra 2 year 2008 accessdate 2009 05 03 publisher Matrix Software language Japanese ref In September 1999, Matrix obtained their first business partner in Chunsoft , with whom ... Hope . ref name Torneko cite web url http www.matrixsoft.co.jp consumer ps toruneko2.html title Matrix Software Products Torneko no Daibouken 2 year 2008 accessdate 2009 05 03 publisher Matrix Software ... title Matrix Software Products year 2008 accessdate 2009 05 03 publisher Matrix Software language ... DS Japan JP Avalon Code sort 2008 11 01 1 November 2008 Marvelous Entertainment Nintendo DS Japan JP ... url http www.matrixsoft.co.jp consumer psp tovs.html publisher Matrix Software accessdate 13 August ... Telenet Japan References reflist External links http www.matrixsoft.co.jp Matrix Software Homepage ... Video game companies of Japan Category Video game developers Japan company stub fr Matrix Software ja no Matrix Software ru Matrix Software ... more details
Infobox automobile image File 2009 Toyota Matrix S NHTSA.jpg 250px 2009 Toyota Matrix S name Toyota Matrix ... Toyota Corolla br Toyota Celica br Toyota Auris br Lexus CT The Toyota Matrix , sometimes officially referred to as the Toyota Corolla Matrix , is a compact car compact hatchback manufactured by the Toyota ... 2009 04 28 ref The Matrix is the Toyota version of a joint venture between Toyota and General ... mechanically, and nearly as much internally, the Matrix and Vibe are clothed in different sheetmetal ... CUV with youthful imagination 2003 Toyota Matrix author Huffman, John url http www.thecarconnection.com ... month January title 2003 Toyota Matrix XRS Road Test Review journal Sport Compact Car volume issue pages id url http www.sportcompactcarweb.com roadtests 0201scc 2003 toyota matrix xrs index.html accessdate 2008 10 21 quote ref the Matrix saw a minor facelift for the 2005 model year , and was redesigned ... First generation E130 2003 2008 Infobox automobile name First generation image File Toyota Matrix 07 09 2009.jpg 250px 2003 2004 Toyota Matrix XR model years 2003 2008 production February 2002 February ... on ref cite web title Full Test 2003 Toyota Matrix url http www.edmunds.com apps vdpcontainers do vdp articleId 65348 pageNumber 2 publisher Edmunds.com accessdate 2008 10 02 ref The Matrix was first ... offered in the Matrix the Toyota ZZ engine 1ZZ FE used in the Corolla, which originally made Convert ... Convert 180 hp kW in 2003, Convert 173 hp kW 0 abbr on in 2004, ref cite web title 2004 Toyota Matrix Specs url http www.new cars.com 2004 toyota toyota matrix specs.html publisher New cars.com accessdate 2008 10 22 ref and Convert 170 hp kW in 2005 . ref cite web title 2005 Toyota Matrix New Car Buyer ... make vch Toyota model vch Matrix xml 2005 toyota matrix.xml publisher Car.com accessdate 2008 10 ... performance. ref name AOL 06 cite web title 2006 Toyota Matrix Complete Review url http autos.aol.com cars Toyota Matrix 2006 expert review publisher New Car Test Drive, Inc. accessdate 2008 10 22 ... more details
Infobox Anatomy Name PAGENAME Latin matrix extracellularis GraySubject GrayPage Image Extracellular Matrix.png Caption Illustration depicting extracellular matrix basement membrane and interstitial matrix ... Vein Nerve Lymph MeshName MeshNumber Code TerminologiaHistologica 2 00 03.0.02001 In biology , the extracellular matrix ECM is the extracellular part of animal tissue that usually provides structural .... The extracellular matrix is the defining feature of connective tissue in animals. Extracellular matrix includes the interstitial matrix and the basement membrane . ref name Robbins cite book last ... publisher Elsevier edition 7th isbn 0 7216 0187 1 ref Interstitial matrix is present between ... functions, without De novo synthesis de novo synthesis. Formation of the extracellular matrix ... in cancer biology ref name Robbins as metastasis often involves the destruction of extracellular matrix ... protease s and matrix metalloproteinase s. ref name Robbins Molecular components Components ... . ref name PG2007 cite book author Plopper G title The extracellular matrix and cell adhesion, in Cells ... year 2007 isbn 0 7637 3905 7 ref Once secreted they then aggregate with the existing matrix. The ECM ... glycosaminoglycans GAGs are carbohydrate polymer s and are usually attached to extracellular matrix ... found within the extracellular matrix. Heparan sulfate Heparan sulfate HS is a linear polysaccharide ... in close proximity to cell surface or extracellular matrix proteins. ref cite book title Proteoglycans ... Matrix proteoglycans from molecular design to cellular function journal Annu. Rev. Biochem. volume ... metastasis . In the extracellular matrix, especially basement membrane s, the protein domain multi ... doi 10.3109 08830189509056711 ref and accounts for 90 of bone matrix protein content. ref cite journal ... matrix. Cell adhesion can occur in two ways by focal adhesions , connecting the ECM ... of the various types of extracellular matrix found in plethora of tissue types. The local components ... more details
In mathematics , an Alexander matrix is a presentation matrix for the Alexander invariant of a knot mathematics knot . See also Alexander polynomial References Refimprove date June 2008 refbegin mathworld title Alexander matrix urlname AlexanderMatrix refend Category Knot theory knottheory stub ... more details
title Daniweb Sample Code for Matrix Multiplication using MPI Parallel Programming Approach url ...In mathematics , matrix multiplication is a binary operation that takes a pair of matrix mathematics matrices , and produces another matrix. This term may refer to a number of different ways to multiply matrices, but most commonly refers to the matrix product . ref Encyclopaedia of Physics 2nd Edition .... General definition Left multiplication The scalar multiplication of a matrix A and a scalar gives another matrix A of the same size as A . The entries of A are given by math lambda ... multiplication is the left multiplication of the matrix A with scalar . Right multiplication ... s, they may not be equal. Examples For a real scalar and matrix math begin align & lambda ... & 0 0 & j end pmatrix i math Matrix product two matrices Assume two matrices are to be multiplied the generalization to any number is discussed below . If A is an n m matrix and B is an m p matrix, the result AB of their multiplication is an n p matrix defined only if the number of columns m in A is equal to the number of rows m in B . General definition File Matrix multiplication row column correspondance.svg right 300px 300px thumb The arithmetic process of multiplying numbers in row i in matrix A and column j in matrix B , then adding to obtain entry ij in the final matrix. When multiplying matrices, the elements of the rows in the first matrix are multiplied with corresponding columns in the second matrix depicted in the image right . One may compute each entry in the third matrix one ... of rows in B equals m the matrix product AB is defined by ref Linear Algebra 4th Edition , S. Lipcshutz ... m A ik B kj math Treating the rows and columns in each matrix as row vector row and column vector column ... are numbers or expressions, but can even be matrices themselves see block matrix . The matrix product can still be calculated the same way. Illustration File Matrix multiplication diagram 2.svg right ... more details
Jacobi matrix may refer to Jacobian matrix and determinant of a smooth map between Euclidean space s or smooth manifold s Jacobi operator Jacobi matrix , a tridiagonal symmetric matrix appearing in the theory of orthogonal polynomials mathdab Long comment to avoid being listed on short pages ... more details
In mathematics , particularly matrix theory , a Stieltjes matrix , named after Thomas Joannes Stieltjes , is a real numbers real symmetric matrix symmetric positive definite matrix with nonpositive off diagonal entries. A Stieltjes matrix is necessarily an M matrix . Every n n Stieltjes matrix is invertible to a nonsingular symmetric nonnegative matrix nonnegative matrix, though the converse of this statement is not true in general for n 2. From the above definition, a Stieltjes matrix is a symmetric invertible Z matrix mathematics Z matrix whose eigenvalues have positive real parts. As it is a Z matrix, its off diagonal entries are less than or equal to zero. See also Hurwitz matrix Metzler matrix References cite book title Iterative Solution of Large Linear Systems author David M. Young publisher Dover Publications date 2003 isbn 0486425487 page 42 cite book title Iterative Methods for Solving Linear Systems author Anne Greenbaum publisher Society for Industrial and Applied Mathematics SIAM date 1987 isbn 089871396X page 162 Numerical linear algebra Category Matrices Category Numerical linear algebra Linear algebra stub sl Stieltjesova matrika ... more details
Matrix decoder is an audio technology where a finite number of discrete audio channel s e.g., 2 are decoded ... equipment this is compatible multichannel audio. Process Matrix encoding does not allow one to encode ... The notation for matrix encoding consists of the number of discrete audio channels separated ... matrix decoders take advantage of the Haas effect Citation needed date April 2011 , as well as audio cues inherent in the source channels. The various encoding matrixes are described below. SQ matrix encoding 2 4, Stereo Quadraphonic , CBS SQ class wikitable Encoding matrix Left Front Right Front ... equation and after 1972, wasn t much used by CBS and others... The basic SQ 4 2 code had mono stereo ..., generating an optimized encode. Forward Oriented encoder class wikitable Encoding matrix Left Front ... in the decoder. Sansui s QS Encoders and QS Vario Matrix Decoders had a similar capability. Backwards Oriented encoder class wikitable Encoding matrix Left Front Right Front Left Back Right Back Left ... ref With the Ghent Microphone, SQ was transformed from a Matrix into a Kernel and an additional signal could be derived to provide N 3 4 performance. In 1976, Ben Bauer integrated matrix and discrete ... 4 4 4 discrete matrix that used the SQ matrix as the baseband for discrete quadraphonic FM broadcasts ... modulation was placed on a carrier at 76 kHz. For standard 2 channel SQ Matrix broadcasts, CBS ... DES, was an advanced decoder for SQ although it could be made to work with any matrix or kernel system and enhanced the directionality of the basic SQ matrix. It first matrixed the four outputs ... in the Matrix Multiplier IC s, to multiply the incoming matrix by the B matrices and produce ... level. QS matrix encoding 2 4, Quadraphonic Sound , QS class wikitable Encoding matrix Left ... 2 3 class wikitable Encoding matrix W pressure signal X front back signal Y left right signal Left ... math phase shift, math k 90 circ math phase shift details Ambisonic UHJ format Dolby MP matrix encoding ... more details
In mathematics , a moment matrix is a special symmetric square matrix mathematics matrix whose rows and columns are indexed by monomial s. The entries of the matrix depend on the product of the indexing monomials only cf. Hankel matrices . Moment matrices play an important role in polynomial optimization , since positive semidefinite matrix positive semidefinite moment matrices correspond to polynomials which are sums of squares . Definition Empty section date July 2010 See also Empty section date July 2010 External links Category Matrices Linear algebra stub ... more details
In linear algebra , a pentadiagonal matrix is a matrix mathematics matrix that is nearly diagonal matrix diagonal to be exact, it is a matrix in which the only nonzero entries are on the main diagonal, and the first two diagonals above and below it. So it is of the form math begin pmatrix c 1 & d 1 & e 1 & 0 & cdots & cdots & 0 b 1 & c 2 & d 2 & e 2 & ddots & & vdots a 1 & b 2 & ddots & ddots & ddots & ddots & vdots 0 & a 2 & ddots & ddots & ddots & e n 3 & 0 vdots & ddots & ddots & ddots & ddots & d n 2 & e n 2 vdots & & ddots & a n 3 & b n 2 & c n 1 & d n 1 0 & cdots & cdots & 0 & a n 2 & b n 1 & c n end pmatrix . math It follows that a pentadiagonal matrix has at most math 5n 6 math nonzero entries, where n is the size of the matrix. Hence, pentadiagonal matrices are sparse matrix sparse . This makes them useful in numerical analysis . See also tridiagonal matrix PlanetMath attribution id 3927 title Pentadiagonal matrix Category Sparse matrices sl Pentadiagonalna matrika ... more details
An irregular matrix , or ragged matrix , can be described as a matrix mathematics matrix that has a different number of elements in each row. Ragged matrices are not used in linear algebra , since standard matrix transformations cannot be performed on them, but they are useful as array data structure array s in computing . Irregular matrices are typically stored using Iliffe vector s. For example, the following is an irregular matrix math begin bmatrix 1 & 31 & 12& 3 7 & 2 1 & 2 & 2 end bmatrix math See also Matrix mathematics Regular matrix Sparse matrix Array data structure References Paul E. Black, http www.nist.gov dads HTML raggedmatrix.html Ragged matrix , from Dictionary of Algorithms and Data Structures , Paul E. Black, ed., National Institute of Standards and Technology NIST , 2004. Category Arrays Category Matrices sl Nepravilna matrika ... more details
Orphan date February 2009 IFE matrix means Internal Factor Evaluation Matrix is a popular strategic management tool for auditing or evaluating major internal strengths and internal weaknesses in functional areas of an organization or a business. IFE matrix also provides a basis for identifying or evaluating relationships among those areas. The IFE matrix is used in strategy formulation. ref http www.maxi pedia.com IFE EFE matrix internal factor evaluation ref The IFE Matrix together with the EFE matrix is a strategy formulation tool that can be used to evaluate how an organization or a company is performing in regards to identified internal strengths and weaknesses of an organization or a company. The IFE matrix method conceptually relates to the Balanced Scorecard method in some aspects. ref http www.gwu.edu crn40013 strataud MSDW.htm ref The IFE matrix comprises factors strengths and weaknesses , weight 0.0 to 1.0 , rating 0.0 to 4.00 and finally the weighted score after multiplying weight with rating. ref http www.soopertutorials.com business strategic management 478 how to develop internal factor evaluation matrix ife matrix.html ref References references Category Strategic management ... more details
For the falling numbers effect in The Matrix films Matrix digital rain Image matrixnumbers.jpg thumbnail 250px Matrix numbers. Matrix numbers are alphanumeric codes and on occasion, other symbols stamped ... known as the run off groove area, end groove area, matrix area, or dead wax . Industry usage Matrix ... of the record. There are two parts of the matrix number to be considered the main number , which ... number. Matrix numbers can refer to any of these elements, or all of them combined. The inscription ..., and cutting or copyright dates, among other things. The matrix number printed on the label ... be the same number on both sides of the record. Matrix numbers will be different on each side, and are sometimes ... information is usually the cut number, which is a suffix to the main number. For example, matrix ... found with non consecutive matrix numbers on each side, and the hit side or side one may not necessarily ... recording date of certain songs from matrix numbers by comparing them to other numbers ... studio would assign a number to the song to be recorded, which would become the main part of the matrix number, and several takes would be made, with the take number inscribed in the matrix area ... is identical to the label for the more common take, as it only shows the main matrix number for the song ... s Use of Matrix Numbers at Gilbert and Sullivan Discography ref When looking for matrix information ... underneath the label, and are viewable as indentations. Albums Album matrix numbers are often similar to the catalogue number. For example, a record numbered X 1234 may have a matrix number like ... instances, the matrix numbers may be a separate series of two consecutive numbers such as 55667 and 55668 ... called matrix numbers. Importance to collectors Matrix numbers are often quoted as evidence ... so, collectible records are often questionably identified as first pressing based solely on the matrix ... catalogue number, the cut number will probably start at 1 again. Therefore, a matrix number ... more details
Context date October 2009 In matrix theory , the spread of a matrix describes how far apart the eigenvalues are in the complex plane . Suppose math A math is a square matrix with eigenvalues math lambda 1, ldots, lambda n math . Then the spread of math A math is the non negative number math s A max lambda i lambda j i,j 1, ldots n . math Examples For the zero matrix and the identity matrix , the spread is zero. Only math 0 math and math 1 math can be eigenvalues for a projection mathematics projection . A projection matrix therefore has spread math 0 math or math 1 math . All eigenvalues of an unitary matrix math A math lie on the unit circle . Hence math s A le 2 math . The spread of a matrix depends only on the spectral theory spectrum of the matrix, so if math B math is invertible matrix invertible , then math s A s BAB 1 . math See also Field of values References Marvin Marcus and Henryk Minc, A survey of matrix theory and matrix inequalities , Dover Publications , 1992, ISBN 0 486 67102 X. Chap.III.4. Category Linear algebra Category Matrix theory Linear algebra stub ... more details
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