Datamatrix can refer to Matrix mathematics A rectangular array of elements Datamatrix statistics A matrix, generally of numbers, representing data used in statistical analysis Datamatrix computer An encoded barcode. Data set A collection of data in tabular form. Datamatrix 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
refimprove date February 2010 file Datamatrix.svg thumb An example of a DataMatrix code, encoding the text Wikipedia, the free encyclopedia file Semapedia.jpg thumb Reading DataMatrix code with mobile phone Semacode project file Matrix 46.PNG thumb Marking surfaces A DataMatrix code is a two dimensional ... data depends on the number of cells in the matrix. Error correction codes are often used to increase .... A DataMatrix symbol can store up to 2,335 alphanumeric characters. DataMatrix symbols are rectangular ... versa. Every DataMatrix is composed of two solid adjacent borders in an L shape called the finder ... thumb Application of DataMatrix for Digital Postmarks digital postmarks STAMPIT by Deutsche ... for DataMatrix is marking small items, due to the code s ability to encode fifty characters ... can be read with only a 20 contrast ratio. The DataMatrix is scalable, with commercial applications ... using DataMatrix for labeling small electronic components. ref name Stevenson cite news first Rick ... PDF ref I d like a better reference for this, preferably a statement on the EIA website. DataMatrix ... serviceable parts. DataMatrix codes and accompanying alpha numeric data identify details of the component ... of Defense US Department of Defense has selected DataMatrix for the mandatory unique identification ... components of major systems must be permanently marked with a unique datamatrix code in accordance ... Matrix codes within a tight deadline. ref http www.spec2000.com 50.html ATA Spec 2000 ref The Data ... MatrixDataMatrix symbols are made up of modules arranged within a perimeter finder and timing pattern ... Matrix ECC 200 ECC 200 is the newest version of DataMatrix and supports advanced encoding Error ... damage, assuming the matrix can still be accurately located. DataMatrix has an error rate of less ... DataMatrix ECC 000 140 Older versions of DataMatrix include ECC 000, ECC 050, ECC 080, ECC 100 ... for overall system performance. DataMatrix applications file Intelwireless datamatrix.jpg thumb A data ... more details
Unreferenced date May 2011 In multivariate statistics , a datamatrix is a mathematical Matrix mathematics matrix of data whose rows represent different repetition of an experiment, and whose columns represent different types of datum say, the results from a particular probe . For example, suppose an experiment is run where 10 people are pulled off the street and asked four questions. The datamatrix M would be a 10x4 matrix. The datum in row i and column j of this matrix would be the answer of the i th person to the j th question. Category Multivariate statistics statistics stub ... more details
wiktionary Matrix may refer to TOCright Math and science Matrix mathematics , a rectangular array of numbers, symbols or expressions Matrix biology , the material or tissue between cells in which more specialized structures are embedded Matrix chemical analysis , the non analyte components of a sample Matrix geology , the fine grained material in which larger objects are embedded Harris matrix , an archeological tool Metal matrix , material used in a metal matrix composite Matrix isolation , an experimental technique in chemistry and physics Film and television The Matrix franchise The Matrix franchise , a science fiction franchise The Matrix , the first film in the franchise The Matrix Music from the Motion Picture , a soundtrack album Matrix TV series Matrix TV series Matrix Doctor Who Matrix Doctor Who , a computer system Matrix, a ReBoot character John Matrix, a Commando film Commando character Music and audio Matrix music , an unchanging element of variations Matrix artist , a British DJ Matrix jazz group The Matrix production team M rix , an album by P.A.L. Clave matrix Keyboard matrix circuit Matrix decoder , a technology for converting audio channels Matrix or matrix master , a master disc used in the production of gramophone records Matrix , a song by Chick Corea on the album Now He Sings, Now He Sobs Comics and literature Matrix comics , a DC Comics character Matrix Doctor Who novel Matrix Doctor Who novel , by Robert Perry and Mike Tucker Matrix of Leadership , a Transformers plot element Matrix, a Neuromancer plot element Business and law MATRIX Northern Ireland Science Industry Panel Matrix Business Technologies , a telecommunications firm Matrix Chambers , a barristers set Matrix Games , an American video game publisher founded 1999 Matrix management , an organizational management style Matrix Partners , a private equity investment firm Matrix Software , a Japanese video game developer founded 1994 Growth share matrix , a business analysis technique Transportation ... more details
About the 1999 film the franchise it initiated The Matrix franchise other uses Infobox film name The Matrix image The Matrix Poster.jpg caption Theatrical release poster director ubl The Wachowskis Andy ... name boxoffice The Matrix is a 1999 American science fiction film science fiction action film written ... sequels, and the The Matrix franchise Matrix franchise was further expanded through the production ... source. Upon learning this, computer programmer Neo The Matrix Neo is drawn into a rebellion against ... detail to this summary. Computer programmer Neo The Matrix Thomas Anderson Keanu Reeves is secretly ... references to the Matrix appearing on his computer. A female hacker named Trinity The Matrix Trinity Carrie Anne Moss confirms that a man named Morpheus The Matrix Morpheus Laurence Fishburne can help him however, three sinister Agent The Matrix Agents , led by Agent Smith Hugo Weaving , arrest ... energy of humans, who are kept docile within the Matrix, a simulated reality of the world as it was in 1999. Morpheus and his crew belong to a group of free humans who unplug others from the Matrix ... within the Matrix by using their understanding of its true nature to manipulate its physical law s. Neo is warned that fatal injuries within the Matrix will also kill one s physical body, and that the Agents ... the Matrix to visit the Oracle The Matrix Oracle Gloria Foster , who predicted the emergence of the One ... escape. Their ally Cypher The Matrix Cypher Joe Pantoliano had betrayed them, making a deal for a permanent return to the comfortable life of the Matrix in exchange for giving Morpheus to the Agents. Cypher murders three crew members before he is killed by Tank The Matrix Tank Marcus Chong . The Agents ... in Zion The Matrix Zion , the humans subterranean refuge in the real world. Neo and Trinity return to the Matrix and rescue their leader in the process, Neo becomes more confident in his ability to manipulate the Matrix, ultimately dodging bullets fired at him. Morpheus and Trinity use a telephone ... more details
The Matrix code can refer to A two dimensional barcode as opposed to linear and stacked symbologies , such as e.g. DataMatrix . The logo of The Matrix franchise. See Matrix digital rain . disambig ... 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
two other uses data in computer science Data computing pp move indef Editors please keep the count mass discussion and etymology in the body, not the intro. Data IPAc en icon d e t respell DAY t , IPAc en d t respell DA t , or IPAc en d t respell DAH t are values of Qualitative data qualitative or Quantitative data quantitative variable and attribute research variable s, belonging to a set of items. Data in computing or data processing are often represented by a combination of items organized in rows and multivariate analysis multiple variables organized in columns. Data are typically the results of measurements and can be data visualisation visualised using graph data structure graph s or image s. Data as an abstract concept can be viewed as the lowest level of abstraction from which information and then knowledge are derived. Raw data , i.e., unprocessed data, refers to a collection of number s, character computing characters and is a relative term data processing commonly occurs by stages, and the processed data from one stage may be considered the raw data of the next. Field work Field data refers to raw data collected in an uncontrolled in situ environment. Experimental data refers to data generated within the context of a scientific investigation by observation and recording. The word data is the plural of datum , Grammatical gender neuter past participle ... , engineering , and so on, the terms givens and data are used interchangeably. Such usage is the origin of data as a concept in computer science or data processing data are numbers, words, images ... datum from which distances to all other data are measured. Any measurement or result is a datum , but data point is more usual, ref cite web author Matt Dye year 2001 title Writing Reports url http ... and the originally Latin plural data are used as the plural of datum in English, but data is commonly ... in day to day usage. For example, This is all the data from the experiment . This usage is inconsistent ... more details
otheruses Data disambiguation Debt, AIDS, Trade, Africa or DATA was a multinational Non governmental organization non government organization founded in January 2002 in London by U2 s Bono along with Robert Sargent Shriver III Bobby Shriver and activist s from the Jubilee 2000 Drop the Debt campaign. DATA was created for the purposes of obtaining social equality equality and justice for Africa through debt relief adjusting trade rules which burden Africa eliminating the AIDS in Africa African AIDS epidemic strengthening democracy furthering accountability by the wealthiest nations and African leaders and Transparency humanities transparency towards the people. In 2007, DATA and Bono were jointly awarded the National Constitution Center s 2007 Liberty Medal for their groundbreaking efforts to address the AIDS crisis and extreme poverty in Africa. Start up funds came from the Bill & Melinda Gates Foundation , financier George Soros , and technology entrepreneur Edward W. Scott . ref cite news url http www.time.com time printout 0,8816,1142270,00.html title The Constant Charmer author Josh Tyrangiel date 2005 12 19 work Time Magazine ref In 2007, DATA and the ONE Campaign decided to join forces, and in January 2008, they formally merged under the name ONE. ref cite news url http www.reuters.com article idUSN2953856520071029 title Bono s U.S. based anti poverty groups to merge author Lesley Wroughton date 2007 10 29 work Reuters ref DATA received support from the Christian rock Alternative rock bands Switchfoot and Third Day . References references External links http www.one.org ONE official site Category International nongovernmental organizations Category HIV AIDS in Africa Category Organizations founded by Bono int org stub de Debt, AIDS, Trade in Africa it DATA sv DATA f rening vi DATA ... more details
Advert date December 2007 O Matrix is a matrix programming language for mathematics , engineering , science , and financial analysis, marketed by Harmonic Software. The language is designed for High performance computing solutions. O Matrix is an integrated technical computing environment and matrix based scripting language. The O Matrix environment includes hundreds of mathematical, statistical, engineering and visualization functions. The diverse set of analysis functions enable the rapid development of complex, computationally intensive scientific, mathematical and engineering solutions. The O Matrix integrated environment provides a mode that is largely compatible with version 4 of the MATLAB language in the commercial product from MathWorks . More recent features of MATLAB , such as non numeric data types structures, cell arrays and objects , error handling with try catch, and nested and anonymous functions, are missing in O Matrix. The O Matrix environment includes a virtual machine of the O Matrix language to enable re distribution of solutions. External links http www.omatrix.com O Matrix site Harmonic Software . http www.scientificweb.com ncrunch ncrunch5.pdf Comparison of mathematical programs for data analysis ScientificWeb Category Array programming languages Category Numerical programming languages compu lang stub ... more details
Infobox company company name Matrix Partners company logo Image MatrixLogoFinal.JPG 175px Matrix Partners ... raised since inception ref homepage http www.matrixpartners.com www.matrixpartners.com Matrix ... , communications, semiconductors , data storage device data storage , Internet or wireless sectors ..., China . Matrix Partners is not connected with Matrix Private Equity Partners LLP or Matrix Securities, which are part of Matrix Group, a UK financial services business based in London ref http www.matrixgroup.co.uk Matrix Group website ref . History Tracing its roots to 1977, Matrix was an active ... . Among the firm s notable investments, Matrix Partners was an early stage investor in Apple ... , VERITAS Software , Vermeer Technologies Incorporated , and Xilinx . In 1985, Matrix raised its first institutional investor institutional private equity fund . Since then, Matrix has raised nine funds with total investor commitments of 2.4 billion. In 2001, Matrix Partners completed fundraising for Matrix Partners VII, a 1 billion venture capital fund. ref http www.altassets.com roundup arc 2001 nz103.php 1bn fund for Matrix Partners . AltAssets, 2001 ref In 2006, Matrix raised Matrix ... summary 0286 17548627 ITM Matrix makes plans for 445m fund. Matrix Partners raises funds for its new fund Matrix Partners VIII . Private Equity Week, 2006 ref In 2006, Matrix also raised a separate 150 million India fund. ref http www.altassets.com news arc 2006 nz9161.php Matrix Partners closes India fund on 150m . AltAssets, 2006. ref ref http dealbook.blogs.nytimes.com 2006 08 03 matrix closes new india fund Matrix Closes New India Fund . New York Times, 2006 ref In July 2009, Matrix Partners raised Matrix IX fund with 600m ref http www.matrixpartners.com site press detail 343 ref . References ... This Time . San Francisco Chronicle http www.thedeal.com techconfidential vc ratings matrix partners david skok pro.php Matrix Partners David Skok profits again this time from Tabblo . The Deal ... more details
In mathematics , computer science and graph theory , a distance matrix is a matrix mathematics matrix two dimensional array containing the distance s, taken pairwise, of a set of points. This matrix will have a size of N × N where N is the number of points, nodes or vertices often in a graph . Comparison with related matrices Comparison with Adjacency matrix Distance matrices are related to Adjacency matrix adjacency matrices , with the differences that a the latter only provides the information which vertices are connected but does not tell about costs or distances between the vertices and b an entry of a distance matrix is smaller if two elements are closer, while close connected vertices yield larger entries in an adjacency matrix. Comparison with Euclidean distance matrix Unlike an Euclidean distance matrix , the matrix does not need to be Symmetric matrix symmetric that is, the values x sub i,j sub do not necessarily equal x sub j,i sub . Similarly, the matrix values are not restricted to non negative Real number reals as they would be in the Euclidean distance matrix but rather can have negative values, zeros or imaginary number s depending on the cost metric and specific use. Although it is often the case, distance matrices are not restricted to being hollow matrix hollow that is, they can have non zero entries on the main diagonal. Examples and uses For example, suppose these data are to be analyzed, where pixel euclidean distance is the Metric mathematics distance metric . Image Clusters.svg frame none Raw data The distance matrix would be class wikitable ... 0 46 83 e 216 128 121 46 0 83 f 231 200 203 83 83 0 These data can then be viewed in graphic form ... NMR or X ray crystallography . Sometimes it is more convenient to express data as a similarity matrix . See also Data clustering Computer Vision Min plus matrix multiplication DEFAULTSORT Distance Matrix Category Metric geometry Category Bioinformatics Category Matrices mathapplied stub de ... more details
For the notion in quantum mechanics, see scattering matrix In multivariate statistics and probability theory , the scatter matrix is a statistic that is used to make estimation of covariance matrices estimates of the covariance matrix of the multivariate normal distribution . Definition Given n samples of m dimensional data, represented as the m by n matrix, math X mathbf x 1, mathbf x 2, ldots, mathbf x n math , the sample mean is math overline mathbf x frac 1 n sum j 1 n mathbf x j math where math mathbf x j math is the j th column of math X , math . The scatter matrix is the m by m positive semi definite matrix math S sum j 1 n mathbf x j overline mathbf x mathbf x j overline mathbf x T math where math T math denotes matrix transpose . The scatter matrix may be expressed more succinctly as math S X ,C n ,X T math where math ,C n math is the n by n centering matrix . Application The maximum likelihood estimate, given n samples, for the covariance matrix of a multivariate normal distribution can be expressed as the normalized scatter matrix math C ML frac 1 n S. math When the columns of math X , math are independently sampled from a multivariate normal distribution, then math S , math has a Wishart distribution . See also Estimation of covariance matrices Sample covariance matrix Wishart distribution Outer product math XX top math is the outer product of X with itself. Unreferenced date September 2010 DEFAULTSORT Scatter Matrix Category Multivariate statistics Category Matrices Statistics stub ... more details
In linear algebra , a Hankel matrix or catalecticant matrix , named after Hermann Hankel , is a square matrix with constant skew diagonals positive sloping diagonals , e.g. math begin bmatrix a & b & c & d & e b & c & d & e & f c & d & e & f & g d & e & f & g & h e & f & g & h & i end bmatrix . math If the i , j element of A is denoted A sub i , j sub , then we have math A i,j A i 1,j 1 . math The Hankel matrix is closely related to the Toeplitz matrix a Hankel matrix is an upside down Toeplitz matrix . For a special case of this matrix see Hilbert matrix . A Hankel operator mathematics operator on a Hilbert space is one whose matrix with respect to an orthonormal basis is an infinite Hankel matrix math A i,j i,j ge 1 math , where math A i,j math depends only on math i j math . The determinant of a Hankel matrix is called a catalecticant . Hankel transform The Hankel transform is the name sometimes given to the transformation of a sequence , where the transformed sequence corresponds to the determinant of the Hankel matrix. That is, the sequence math h n n ge 0 math is the Hankel transform of the sequence math b n n ge 0 math when math h n det b i j 2 1 le i,j le n 1 . math Here, math a i,j b i j 2 math is the Hankel matrix of the sequence math b n math . The Hankel transform is invariant under the binomial transform of a sequence. That is, if one writes math c n sum k 0 n n choose ... matrices are formed when given a sequence of output data and a realization of an underlying state space or hidden Markov model is desired. The singular value decomposition of the Hankel matrix provides ... model of positive Hankel operators See also Hamburger moment problem Toeplitz matrix , a Hankel matrix upside down . References cite book title An introduction to Hankel operators author J.R. ... de Hankel Matrix es Matriz de Hankel eu Hankel matrize fr Matrice de Hankel it Matrice di Hankel nl Hankel matrix ja ru sl Hankelova matrika th ... more details
In mathematics , an incidence matrix is a matrix mathematics matrix that shows the relationship between two classes of objects. If the first class is X and the second is Y , the matrix has one row for each ... G has two kinds of incidence matrices unoriented and oriented. The incidence matrix or unoriented incidence matrix of G is a p × q matrix math matrix math b ij math , where p and q are the numbers ... the incidence matrix of the undirected graph shown on the right is a matrix consisting of 4 rows corresponding ... matrix, we see that the sum of each column is equal to 2. This is because each edge has a vertex connected to each end. The incidence matrix of a directed graph D is a p × q matrix math ... math and 0 otherwise Note that many authors use the opposite sign convention. . Incidence matrix of a directed graph is a Skew symmetric matrix skew symmetric matrix . An oriented incidence matrix of an undirected graph G is the incidence matrix, in the sense of directed graphs, of any orientation ... difference, so one can speak of the oriented incidence matrix, even though that is technically incorrect. The oriented or unoriented incidence matrix of a graph G is related to the adjacency matrix of its line graph L G by the following theorem math A L G B G T B G 2I q math where math A L G math is the adjacency matrix of the line graph of G , B G is the incidence matrix, and math I q math is the identity matrix of dimension q. The Kirchhoff matrix is obtained from the oriented incidence matrix M G by the formula math M G M G T . math The integral cycle space of a graph is equal to the null space of its oriented incidence matrix, viewed as a matrix over the integers or real numbers ... incidence matrix, viewed as a matrix over the two element field mathematics field . Signed and bidirected graphs The incidence matrix of a signed graph is a generalization of the oriented incidence matrix. It is the incidence matrix of any bidirected graph that orients the given signed graph. The column ... more details
In mathematics and computer science , an adjacency matrix is a means of representing which Vertex graph ... matrix representation for a graph is the incidence matrix . Specifically, the adjacency matrix of a finite set finite graph G on n vertices is the n × n matrix where the non diagonal entry a sub ... typically use the former convention. There exists a unique adjacency matrix for each isomorphism class of graphs up to permuting rows and columns , and it is not the adjacency matrix of any other isomorphism class of graphs. In the special case of a finite simple graph , the adjacency matrix is a 0,1 matrix with zeros on its diagonal. If the graph is undirected, the adjacency matrix is symmetric matrix symmetric . The relationship between a graph and the eigenvalue s and eigenvector s of its adjacency matrix is studied in spectral graph theory . Examples The convention followed here is that an adjacent edge counts 1 in the matrix for an undirected graph. class wikitable style text align center width 700px height 1100px Labeled graph Adjacency matrix Image 6n graph2.svg 200px math begin pmatrix ... graph 1,5,21 adjacency matrix .svg 250px br Coordinates are 0 23. br White fields are zeros, colored ... Cayley graph of Symmetric group S sub 4 sub File Symmetric group 4 Cayley graph 4,9 adjacency matrix .svg 250px br As the graph is directed, br the matrix is not Symmetric matrix symmetric . The adjacency matrix of a complete graph is all 1 s except for 0 s on the diagonal. The adjacency matrix of an empty graph is a zero matrix . Adjacency matrix of a bipartite graph Adjacency matrix of a bipartite graph & Biadjacency matrix redirect here The adjacency matrix A of a bipartite graph whose parts ... B is an r × s matrix and O is an all zero matrix. Clearly, the matrix B uniquely represents the bipartite graphs. It is sometimes called the biadjacency matrix. Formally, let G U , V , E be a bipartite graph with parts math U u 1,..., u r math and math V v 1,..., v s math . The biadjacency matrix ... more details
Unreferenced auto yes date December 2009 wikify date January 2012 The matrix method is a structural analysis method used as a fundamental principle in many applications in civil engineering . The method is carried out, using either a stiffness matrix or a flexibility matrix. The flexibility method is not conducive to computer programming Weaver, Gere . Also another matrix method below THE MATRIX METHOD OF DECISION MAKING The matrix method of expert estimation The matrix method of supporting marketing decisions The Matrix Method computer program saves time and means in obtaining prompt and valid solutions. By means of the Matrix Method computer program realized on the basis of the matrix method of decision making one can solve various problems from various fields of human activity economics, law, medicine, politics and so on. The method is worked out by V.S.Golik and published in a number of scientific journals. The user formulates the task, its limitations, collects necessary information for its solution, and determines necessary criteria and alternatives. Based on the data the computer program automatically determines the best solutions. To obtain valid solutions the user should collect complete and objective information, interpret it correctly and input to the computer program. Please download Matrix method theory here http www.matrixmethod.com matrixtheory.pdf Examples The solution of tasks on the choice of the best strategies of business, the best banks, investment products, suppliers, markets, products, medicines, personnel selection and so on. The determination of suppliers rating based on a great number of criteria and alternatives for example, 20 criteria for analyzing .... Time and means saving and obtaining valid solutions are the main advantages of the matrix method. Please download Examples http www.matrixmethod.com matrix method program.pdf The Matrix Method ... solutions. References Matrix method http www.matrixmethod.com Category Structural analysis es M todo ... more details
A matrix clock is a mechanism for capturing chronological and causal relationships in a distributed system . Matrix clocks are a generalization of the notion of vector clocks . ref name ParallelDrummond cite journal last1 Drummond first1 L cia M. A. last2 Barbosa first2 Valmir C. year 2003 title On reducing the complexity of matrix clocks journal Parallel Computing volume 29 issue 7 pages 895 905 doi 10.1016 S0167 8191 03 00066 8 ref A matrix clock maintains a Array data structure vector of the vector clocks for each communicating host. Every time a message is exchanged, the sending host sends not only what it knows about the global state of time , but also the state of time that it received from other hosts. This allows establishing a lower bound on what other hosts know, and is useful in applications such as checkpointing and Garbage collection computer science garbage collection . References reflist comp sci stub Category Distributed algorithms fr Horloge matricielle ... more details
In statistics , the hat matrix , H , maps the vector of observed value s to the vector of fitted value ... title The Hat Matrix in Regression and ANOVA first1 David C. last1 Hoaglin first2 Roy E. last2 ... 10.2307 2683469 issue 1 jstor 2683469 ref The diagonal elements of the hat matrix are the leverage ... by , math hat mathbf y H mathbf y . math As is usually pronounced y hat , the hat matrix is so ..., math where X is a matrix of explanatory variable s the design matrix , is a vector of unknown parameters ... X top X right 1 X top mathbf y . math Therefore the hat matrix is given by math H X left X top X right 1 X top. math In the language of linear algebra , the hat matrix is the orthogonal projection onto the column space of the design matrix X . Note that math left X top X right 1 X top math is the Moore Penrose pseudoinverse Full rank pseudoinverse of X . The hat matrix corresponding to a linear model is symmetric matrix symmetric and idempotent , that is, H sup 2 sup H . However, this is not always ... matrix is in general neither symmetric nor idempotent. The formula for the vector of errors and residuals in statistics residual s r can be expressed compactly using the hat matrix math mathbf r mathbf y mathbf hat y mathbf y H mathbf y I H mathbf y . math The covariance matrix of the residuals is therefore ... is the covariance matrix of the errors and by extension, the observations as well . For the case ... linear algebra trace of the hat matrix is equal to the rank linear algebra rank of X , which is the number ... linear in the observations y , the hat matrix can be used to define the degrees of freedom statistics Effective degrees of freedom effective degrees of freedom of the model. The hat matrix has a number of useful algebraic properties. ref Gans, P. 1992 Data Fitting in the Chemical Sciences, , Wiley ... 0 471 17082 6 ref Practical applications of the hat matrix in regression analysis include Leverage ... to the case of correlated errors. Suppose that the covariance matrix of the errors is . Then since ... more details
Morpheus series The Matrix franchise The Matrix image caption first The Matrix last cause creator The Wachowskis ... Male occupation title Captain of the List of ships in the Matrix series Nebuchadnezzar .28.22Neb.22.29 ... protagonist of The Matrix franchise The Matrix franchise . The The Wachowskis Wachowski brothers co writers and directors of The Matrix films were fans of Neil Gaiman and based the character of Morpheus ... needed date March 2012 Morpheus voice role in The Matrix Path of Neo is retained by Laurence .... In the Matrix films, Morpheus is the captain of the Nebuchadnezzar ship Nebuchadnezzar , which is a hovercraft of the human forces of the last human city, Zion The Matrix Zion , in a devastated world where most humans are grown by sentient machines and kept imprisoned in the Matrix, a virtual computer generated world. Morpheus was once a human living inside the Matrix until he was freed. Morpheus is apparently a very popular public figure in the city of Zion. He is also known in the Matrix fictional universe Matrix , but as a dangerous terrorism terrorist wanted by Agent The Matrix Agents , who appear to be Federal investigators but are sentient computer programs that patrol the Matrix, eliminating any threat to the Matrix. Like other hovercraft crews, Morpheus and his crew are dedicated to the protection of Zion and the freeing of humans from the Matrix. The name Morpheus is that of the Morpheus ... s involvement with the dreaming of the Matrix. The mythical Morpheus and his family, including two brothers ... to Morpheus in The Matrix, who offers Neo either a blue pill to forget about The Matrix and continue ... Earlier in his life, Morpheus gained the romantic attention of Niobe The Matrix Niobe , another hovercraft captain. Their relationship became estranged shortly after Morpheus visited Oracle The Matrix the Oracle , an ally living in the Matrix, who told Morpheus that he would be the person who would find Neo The Matrix the One , a human having superhuman abilities within the Matrix who could ... more details
s and data structure s that take advantage of the sparse structure of the matrix. Operations using standard dense matrix structures and algorithms are slow and consume large amounts of Computer memory memory when applied to large sparse matrices. Sparse data is by nature easily data compression compressed , and this compression almost always results in significantly less computer data storage usage .... Storing a sparse matrix The native data structure for a matrix is a two dimensional array. Each entry in the array represents an element a sub i , j sub of the matrix and can be accessed by the two Array data structure indices i and j . For an m n matrix, enough memory to store up to m n entries to represent the matrix is needed. Substantial memory requirement reductions can be realized by storing ...Image Finite element sparse matrix.png right thumb A sparse matrix obtained when solving a finite element ... of numerical analysis , a sparse matrix is a matrix mathematics matrix populated primarily ... had springs connecting each ball to all other balls, the system would be represented by a dense matrix ... , which have a low density of significant data or connections. Huge sparse matrices often appear ..., different data structures can be used and yield huge savings in Computer storage memory when compared ..., and 2 those that support efficient matrix operations. The efficient modification group includes DOK, LIL, and COO and is typically used to construct the matrix. Once the matrix is constructed, it is typically converted to a format, such as CSR or CSC, which is more efficient for matrix operations ... for iterating over non zero values in sorted order. One typically creates the matrix with this format ... index for faster lookup. This is another format which is good for incremental matrix construction ... matrix . Coordinate list COO COO stores a list of code row, column, value code tuples. Ideally, the entries ... format which is good for incremental matrix construction. See http docs.scipy.org doc scipy reference ... more details
data and fax services to corporate markets. The company transformed itself into Wireless Matrix in May ...Advert date February 2011 Infobox Company name Wireless Matrix Corporation logo type Public company Public TSX WRX genre foundation 1991 founder Dr. J.T. Knight, et al. location city Herndon, Virginia location country United States United States location locations area served key people industry products services revenue operating income net income assets equity owner num employees 125 as of 2010 parent divisions subsid slogan homepage http www.wirelessmatrix.com www.wirelessmatrix.com footnotes intl Wireless Matrix Corporation TSX WRX , is a provider of real time GPS fleet management, Automatic Vehicle Location AVL and mobile resource management MRM solutions for vehicle fleets. The company provides services to a variety of industries, most notably utilities, telecommunications, cable, rail and home services. Their product offerings include applications provided as Software as a Service SaaS via the internet, vehicle mounted GPS and wireless communication devices, and bundled data communications. Wireless Matrix provides integration of its products with other workforce management ... . Products Wireless Matrix s GPS fleet tracking software, FleetOulook, comes in three editions. FleetOutlook ... Wireless Matrix was founded in 1991 as Interprovincial Satellite Services Ltd. Intersat . ref cite web ... last first title INTERSAT Name Officially Changed To Wireless Matrix Corporation date May 9, 2000 accessdate 2008 12 01 publisher work Business Wire ref and positioned itself in the wireless data services ... last first title Wireless Matrix Acquisition of MobileAria Closes date August, 2006 accessdate 2008 12 01 publisher work Market Wire ref and Sapias, Inc. 2007 , Wireless Matrix provides GPS fleet ... www.wirelessmatrix.com &mdash Wireless Matrix home page http www.sedar.com www.sedar.com &mdash Wireless Matrix corporate financial filings US company stub ... more details
data sent from the computer, and only capable of storing enough dot matrixdata for one printed ...for other uses including the printer and display types, and fictional characters of this name Dot matrix ... matrix pattern woven into fabric in 1858, using punched card s on a Jacquard loom . File Dot printer ASCII0x7C .png thumb Close up view of dot matrix text produced by an impact printer. Image Bling Bling Skywriting David Shankbone.jpg thumb Bling Bling Dot matrix style skywriting . A dot matrix is a 2 dimensional patterned Array data structure array , used to represent characters, symbols and images ... printing , and are not called Dot Matrix printers. Impact printers survive where multi part forms ... , for security purposes. All types of electronic printers typically generate image data as a two step process. First the information to be printed is converted into a dot matrix using a raster image processor , and the output is a dot matrix referred to as a raster image , which is a complete full page ... extremely slow and data was sent one line at a time to the impact printer. Depending ... 600x1200 dpi. A dot matrix is useful for marking materials other than paper. In manufacturing industry, many product marking applications use dot matrix inkjet or impact methods. This can also be used to print 2D matrix codes, e.g. Datamatrix . Usage in computers Although the output of modern computers is generally all in the form of dot matrices, computers may internally store data as either a dot matrix or as a vector pattern of lines and curves. Vector data encoding requires less memory and less data storage, in situations where the shapes may need to be resized, as with font typefaces. For maximum image quality using only dot matrix fonts, it would be necessary to store a separate dot matrix pattern for the many different potential point sizes that might be used. Instead, a single group of vector shapes is used to render all the specific dot matrix patterns needed for the current ... more details
Matrix algebra may refer to Matrix theory , is the branch of mathematics that studies matrix mathematics matrices Matrix ring , thought of as an algebra over a field or a commutative ring disambig pl Algebra macierzy ... more details
S matrix theory was a proposal for replacing local quantum field theory as the basic principle of elementary particle physics . It avoided the notion of space and time by replacing it with abstract mathematical properties of the S matrix . In S matrix theory, the S matrix relates the infinite past to the infinite future in one step, without being decomposable into intermediate steps corresponding to time slices. This program was very influential in the 1960s, because it was a plausible substitute for quantum field theory , which was plagued with the Landau pole zero interaction phenomenon at strong coupling. Applied to the strong interaction, it led to the development of string theory . S matrix theory was largely abandoned by physicists in the 1970s, as QCD was recognized to solve the problems ..., S matrix theory is still the best accepted approach to the problem of quantum gravity. The S matrix .... The analog of the S matrix relations in AdS space are the boundary conformal theory. ref Stephen B. Giddings, The boundary S matrix and the AdS to CFT dictionary, hep th 9903048 ref The most lasting ... of the pomeron . History S matrix theory was proposed as a principle of particle interactions by Werner Heisenberg in 1941, following John Archibald Wheeler s 1937 introduction of the S matrix ... The S matrix is a representation of the Poincar group . Unitarity math S S dagger 1 math Analyticity .... Dispersion relations the values of the S matrix can be calculated by integrals over internal energy variables of the imaginary part of the same values. Causality conditions the singularities of the S matrix ... Kronig relations Kramers Kronig dispersion relation Landau Principle Any singularity of the S matrix .... The phenomenological way in which this was done was by taking experimental data and using the dispersion ... S matrix theory, they are not thought of as being made up of elementary constituents. The Regge theory ... C. Frautschi, Regge poles and S matrix theory, 1963 Category Particle physics ... more details
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