matrix

Definitions

• WordNet 3.6
• n matrix mold used in the production of phonograph records, type, or other relief surface
• n matrix the formative tissue at the base of a nail
• n matrix the body substance in which tissue cells are embedded
• n matrix (mathematics) a rectangular array of quantities or expressions set out by rows and columns; treated as a single element and manipulated according to rules
• n matrix an enclosure within which something originates or develops (from the Latin for womb)
• n matrix (geology) amass of fine-grained rock in which fossils, crystals, or gems are embedded
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Webster's Revised Unabridged Dictionary
• Interesting fact: In the movie "The Matrix Reloaded" a 17 minute battle scene cost over \$40 million to produce
• matrix (Math) A rectangular arrangement of symbols in rows and columns. The symbols may express quantities or operations.
• matrix That which gives form or origin to anything
• matrix The cavity in which anything is formed, and which gives it shape; a die; a mold, as for the face of a type.
• matrix The earthy or stony substance in which metallic ores or crystallized minerals are found; the gangue.
• matrix The five simple colors, black, white, blue, red, and yellow, of which all the rest are composed.
• matrix (Biol) The lifeless portion of tissue, either animal or vegetable, situated between the cells; the intercellular substance.
• matrix (Anat) The womb. "Before I formed thee in the belly I knew thee.""All that openeth the matrix is mine."
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Century Dictionary and Cyclopedia
• n matrix The womb; the uterus.
• n matrix Hence That which incloses anything, or gives origin to anything, like a womb. A mold which gives form to material forced into it in a solid condition, or poured into it in a fluid state and allowed to harden before removal.
• n matrix In mathematics, a rectangular array of quantities, usually square: so called because considered as a mold or set of compartments into which a certain number of quantities can be put, the leaving of one of the spaces unoccupied being in effect to put zero there. : The matrix is consequently a multiple quantity having as many dimensions as it has spaces. The numbers in the spaces are called the constituents of the matrix. The following definitions relate to square matrices. The vertical lines of numbers are called the columns, the horizontal ones the rows. The diagonal running from the upper left hand to the lower right hand corner is called the principal diagonal. Constituents symmetrically situated with reference to the principal diagonal are said to be conjugate. A matrix in which every constituent is equal to its conjugate is said to be symmetrical; if all the constituents along each diagonal band transverse to the principal diagonal are equal, the matrix is said to be persymmetrical. The addition of matrices is so understood that the sum of two like matrices is a matrix every constituent of which is equal to the sum of the corresponding constituents of the parts. The multiplication of two like square matrices is so understood that the product is a matrix whose construction is of the kind shown in the following example
• n matrix a matrix with p columns and q rows. The types of two matrices are said to be complementary when p—p = q + q.
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Chambers's Twentieth Century Dictionary
• n Matrix mā′triks or mat′riks (anat.) the cavity in which an animal is formed before its birth, the womb: the cavity in which anything is formed, a mould: : :
• n Matrix mā′triks or mat′riks (mining) earthy or stony substances in which minerals are found embedded
• n Matrix mā′triks or mat′riks (dyeing) the five simple colours (black, white, blue, red, and yellow) from which all the others are formed
• n Matrix mā′triks or mat′riks (math.) a rectangular array of quantities, usually square—a multiple quantity having as many dimensions as it has spaces
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Etymology

Webster's Revised Unabridged Dictionary
L., fr. mater, mother. See Mother, and cf. Matrice
Chambers's Twentieth Century Dictionary
L. matrix, -icismater, mother.

Usage

In literature:

The unity of the world has nothing to do with any 'matrix.
"The Will to Believe" by William James
Matrix of monastic seal, 263.
"Notes and Queries, Index of Volume 3, January-June, 1851" by Various
The Central Directory Matrix is here.
"Starman's Quest" by Robert Silverberg
Older zoogloeae may precipitate oxide of iron in the matrix, if that metal exists in small quantities in the medium.
"Encyclopaedia Britannica, 11th Edition, Volume 3, Part 1, Slice 2" by Various
In limestone much of the mass may be replaced by garnet and other silicates in a matrix of quartz.
"The Economic Aspect of Geology" by C. K. Leith
To find any fault with the matrix of this opal is probably blasphemous.
"A History of the French Novel, Vol. 2" by George Saintsbury
Here galleries branch out in various directions, hewn in the slate forming the matrix of the vein.
"The Mines and its Wonders" by W.H.G. Kingston
Resupinate, attached to the matrix by the back.
"The Mushroom, Edible and Otherwise" by M. E. Hard
It consists of a strong, hard material imbedded in a matrix of softer material.
"Thin Edge" by Gordon Randall Garrett
Probably it originated in the matrix of nations which the table-land of Asia was.
"The Lords of the Ghostland" by Edgar Saltus
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In poetry:

That through the clouded matrix saw
The crystal planes of shaping law,
Through these the sovereign skill that planned,--
The Father's care, the Master's hand!
"Benjamin Peirce" by Oliver Wendell Holmes

In news:

AMX has released the AutoPatch Epica Digital Generation (EpicaDG) line of fiber optic matrix switchers , which are designed for large AV installations in command & control applications.
Since traditional matrix switchers cannot handle HD video, the V2070 lets operators have a fully functional HD control room solution with HD (1080P/720P) video inputs and 16 HD video outputs.
Intelix's DIGI-HD-8X8 matrix switcher .
Slo-Mo Stupefaction From 'Matrix' Creators.
TriReme Receives FDA Approval for Expanded Matrix of Novel Glider PTCA Balloon Catheter.
TriReme Medical Inc (TMI) announced that it has received US Food and Drug Administration (FDA) clearance for an expanded matrix of sizes for its unique Glider percutaneous transluminal coronary angioplasty (PTCA) balloon catheter.
Products Finishing, Arthur S. Can one apply electroless nickel over a tungsten metal matrix.
Confidex has been ranked at the top of the latest Vendor Matrix released by ABI Research.
Remember when "The Matrix" came out in 1999 and its disciples treated it like a philosophy textbook.
One of Toyota's Geneva debuts is the redesigned Verso , Europe's bigger version of the Matrix.
The posters for V for Vendetta read, An uncompromising vision of the future from the creators of The Matrix trilogy'.
The posters for V for Vendetta read "An uncompromising vision of the future from the creators of The Matrix trilogy".
At NAB, Riedel Communications unveils its new Artist VoIP-108 G2 client card, which converts eight matrix ports into a compressed IP-stream and vice versa.
Increasing Cellular Communication for Skin Matrix Repair.
Matrix Concepts and 1.7 Cleaning Solutions has completed the move into their new corporate headquarters in Valencia, California.
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In science:

Matrixes a and b are bosonic square matrix while α and β generally are not square matrix.
Gauge Theory of Gravity
All matrix elements with α = α′ and β 6= β ′ which couple the block matrix Mα,β (d, d′ ) to the other components of the matrix M(i) vanish by the superselection rules and δαβ δα′ β ′ = 0.
Superpenetration of a high energy Q barQ bound state through random color fields
Here we diagonalized the matrix Ω and integrated out the corresponding eigenvectors with the use the IZHC formula Eq.(28), with ǫ > 0 (∝ unity matrix) being an inﬁnitesimal regularisation matrix.
Random Matrices close to Hermitian or unitary: overview of methods and results
Sometimes these tau-functions can be written in terms of the matrix integrals (about appearance of the Virasoro constraints in matrix models and the relation between the matrix models and integrable systems see, for example, ).
String Theory or Field Theory?
Equivalently, one may say that there must be some orthogonal matrix Q such that the associated matrix T deﬁned by the relation (15) is a sparse matrix with at most k nonvanishing elements on any line.
Random Series and Discrete Path Integral methods: The Levy-Ciesielski implementation
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