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Topic: Column vector

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	PlanetMath: list vector
		Conventionally, superscripts are used to denote the values of a list vector, i.e.
		The components of a row vector are customarily written with subscripts, rather than superscripts.
		This is version 2 of list vector, born on 2002-07-24, modified 2002-10-19.
	planetmath.org /encyclopedia/ListVector.html (198 words)

	Column vector - Wikipedia, the free encyclopedia
		In linear algebra, a column vector is an m × 1 matrix, i.e.
		The transpose of a column vector is a row vector.
		The set of all column vectors forms a vector space which is the dual space to the set of all row vectors.
	en.wikipedia.org /wiki/Column_vector (101 words)

	8.9.3 Vector Columns
		Vector columns can be freely intermixed with scalar columns or constants in virtually all expressions.
		The only places a vector column cannot be used (for now, anyway) are the SAO region functions and the NEAR boolean function.
		For example, if a vector column named PHAS exists in the table as a one dimensional, 256 component list of numbers from which you wanted to select the 57th component for use in the expression, then PHAS[57] would do the trick.
	heasarc.gsfc.nasa.gov /docs/software/fitsio/c/f_user/node77.html (635 words)

	No Title (Site not responding. Last check: 2007-10-26)
		learn about column vectors and their algebraic properties; understand what a linear combination is; understand what the span of a set of vectors is; learn how to multiply a vector by a matrix; understand the connections between matrix-vector equations and linear systems; understand the algebraic properties of matrix-vector products.
		A linear system is just a vector equation where the left-hand side of the equation is a linear combination of some vectors with the unknowns for the system used as scalar multipliers.
		is in the span of the columns of A.
	www.sci.wsu.edu /math/faculty/genz/220v/lessons/l02/l02.html (304 words)

	Scicos Block (Site not responding. Last check: 2007-10-26)
		vector [w,h], where w is the width and h the height of the block shape.
		column vector of ones, the size of evtin gives the number of event input ports.
		column vector of ones, the size of evtout gives the number of event output ports.
	scilabsoft.inria.fr /product/man-eng/scicos/scicos_block.htm (459 words)

	Egwald Mathematics - Linear Algebra: Matrices and Matrix Decomposition
		A matrix of dimension m by 1 is called a column vector; a matrix of dimension 1 by n is called a row vector.
		Vectors and their operations are described on the linear algebra: vectors web page.
		Multiplying a column or row by a constant scalar multiplies the determinant by the constant scalar.
	www.egwald.com /linearalgebra/matrices.php (3984 words)

	[No title]
		The symbol for a vector is a lower case letter in bold print Column vector: a = EMBED Equation.3 Row vector: a’ = (2, 3, 1) Small letter with a prime.
		The vector a’ is the transpose of a, that is, we have changed from a column to a row.
		Matrices are conformable when the number of elements in the rows (number of columns) of the first matrix equals the number of elements in the columns (number of rows) of the second matrix.
	www.chsbs.cmich.edu /k_han/psy613/Matrix.doc (1437 words)

	10.10.2 Vector Columns
		Vector columns can also be used in building the expression.
		Comparing two vector columns, eg "COL1 == COL2", thus results in another vector of boolean values indicating which elements of the two vectors are equal.
		Any elements which are themselves vectors, will be expanded out with each of its elements becoming an element in the constructed vector.
	ledas-www.star.le.ac.uk /lheasoft/fitsio/c/c_user/node94.html (562 words)

	Matrices and Vectors
		Thus a vector is a special case of a matrix which has only one column or only one row.
		Similarly you can add and subtract vectors of the same size, which here means that the vectors must be of the same type (rows or columns) and have the same number of elements.
		It is important to note that this definition requires that the length of the vector, to which the matrix is multiplied, coincides with the number of columns of the matrix.
	www.math.colostate.edu /~gerhard/classes/331/lab/matrix.html (1623 words)

	mattest :: Functions (Bioinformatics Toolbox)
		Matrices of gene expression values where each row corresponds to a gene and each column corresponds to a replicate.
		is a column vector of p-values for each gene.
		is a column vector of t-scores for each gene.
	www.mathworks.com /access/helpdesk/help/toolbox/bioinfo/ref/mattest.html (556 words)

	Interpolation (DSP Blockset)
		The output is a vector or matrix of the interpolated values, and has the same frame status and frame rate as the input.
		Generate a signal of interpolation vectors with the same frame status and same frame rate as the input signal, and supply it to the input port for interpolation points.
		) to the corresponding columns of the input
	www.weizmann.ac.il /matlab/toolbox/dspblks/interpolation.html (1135 words)

	[No title] (Site not responding. Last check: 2007-10-26)
		Preferably, the weight cell values are determined based on the information of at least part of the determined column vector cell values and by use of at least part of the training set (s) of input examples.
		classification network thereby addressing one or more column vectors, the means for determining the column vector cell values is adapted to increment the value or vote of the cells of the addressed column vector (s) corresponding to the row (s) of the known class, said value preferably being incremented by one.
		According to a preferred embodiment of the classification system of the present invention, the output determining means comprises means for producing a first summation of all the addressed weight vector cell values corresponding to a specific class and corresponding to column vector cell values greater than or equal to a predetermined value.
	www.wipo.int /cgi-pct/guest/getbykey5?KEY=99/40521.990812&ELEMENT_SET=DECL (7029 words)

	Matrix Algebra - Review
		A matrix is a rectangular array of elements arranged in rows and columns.
		Note that the transpose of a column vector is therefore a row vector and vice versa.
		If the matrix is a column vector then it is denoted by 1 and if it is a square matrix then it is denoted by J.
	condor.depaul.edu /~jmorgan1/csc334.matalg.html (905 words)

	[No title]
		Column vector x contains variables in the model and column vector b contains the results of experimental measurement.
		The quantity A EMBED Equation.3 is a linear combination of the column vectors of A with coefficients EMBED Equation.3 1, EMBED Equation.3 2, EMBED Equation.3 n.
		In both cases, p = Pb is the component of b projected into the column space of A. E = b — Pb is the orthogonal error vector.
	uspas.fnal.gov /materials/4_LSQ.doc (1328 words)

	Vector column elements (Site not responding. Last check: 2007-10-26)
		The attributes of a vector column element identifier are different to the identifiers for the whole column; they are listed in Table 6.
		The vector column to which a vector column element belongs is referred to as the column element's base column.
		The DTYPE and CSIZE attributes of a vector column element are necessarily identical to the corresponding attributes for its base column.
	star-www.rl.ac.uk /star/dvi/sun181.htx/node52.html (190 words)

	Multiplying matrices and vectors*
		Let's keep the number of rows and columns arbitrary, letting m be the number of rows and n the number of columns.
		Since we view vectors as column matrices, the matrix-vector product is simply a special case of the matrix-matrix product (i.e., a product between two matrices).
		In other words, the component in the ith row and jth column of C is the dot product between the ith row of A and the jth column of B.
	www.math.umn.edu /~nykamp/m2374/readings/matvecmult (573 words)

	ColNulSpaces.html (Site not responding. Last check: 2007-10-26)
		Hence the column space is spanned by this one vector.
		The first column is not the zero vector, so we put it into the "bucket" as part of the basis.
		We don't want the third column vector, since it is not independent of the first two.
	www.math.gatech.edu /~harrell/1502/XTRAS/ColNulSpaces5.html (641 words)

	garchinfer :: Functions (GARCH Toolbox)
		Time-series matrix or column vector of presample innovations on which the recursive mean and variance models are conditioned.
		Time-series matrix or column vector of positive presample conditional standard deviations on which the recursive variance model is conditioned.
		Time-series matrix or column vector of presample observations of the return series of interest on which the recursive mean model is conditioned.
	www.mathworks.com /access/helpdesk/help/toolbox/garch/garchinfer.html (835 words)

	fill (MATLAB Function Reference)
		is a vector or matrix used as an index into the colormap.
		returns a vector of handles to patch graphics objects, one handle per patch object.
		replicates the column vector argument to produce a matrix of the required size.
	www.tau.ac.il /cc/pages/docs/matlab/help/techdoc/ref/fill.html (195 words)

	MATLAB Central - Newsreader - reshape a column vector of unknown size to [4, ???] matrix ?
		MATLAB Central > comp.soft-sys.matlab > archive > reshape a column vector of unknown size to [4, ???] matrix ?
		i have a column vector which size is unknown.
		> i have a column vector which size is unknown.
	newsreader.mathworks.com /WebX?14@240.WWANaamvfrx.0@.eec2539 (626 words)

	[No title]
		In this section we introduce some applications which will lead to the matrix products of row vector times a column vector, matrix times a column vector and the general matrix times a matrix.
		The newC can be viewed as a product of the matrix P and the column vector C where component i of the newC is defined as the product of row i of P times column vector C. One can repeat this from one year to the next to try to predict future patterns of investment.
		This is an example of a Markov chain where P is called a transition matrix from one state to the next state.
	www4.ncsu.edu /eos/users/w/white/www/white/dir1.2/sec1.2.2.html (710 words)

	Crocodile Clips Lesson Activity (Site not responding. Last check: 2007-10-26)
		We can translate a shape by applying the column vector to each of the shape's coordinates.
		The upper figure in the column vector is added to the x coordinate and the lower figure to the y coordinate.
		Translate the red square by translating each of its vertices by the column vector shown.
	www.crocodile-clips.com /gpv70/LP/mathematics/LP0109/LA0109.htm (214 words)

	1.4.2 Spreading vectors, matrix rows, and matrix columns
		Spreading a vector within rows (columns) of nodes: Notice that gathering a vector within rows (columns) to a specified column (row) of nodes can be used to yield a column (row) vector.
		Spreading a matrix row (column) within columns (rows) of nodes: Given a matrix row, we often require a copy of this matrix row to exist within each row of nodes, an operation that we will call spreading a matrix row within columns of nodes.
		Spreading a matrix row (column) within rows (columns) of nodes: Spreading a matrix row within rows of nodes is logically equivalent to redistributing the matrix row like the inducing vector distribution, followed by a spreading of the vector within rows of nodes.
	www.cs.utexas.edu /~plapack/Guide/node13.html (410 words)

	fill3 (MATLAB Function Reference)
		is a vector or matrix of indices into the current colormap.
		returns a vector of handles to patch graphics objects, one handle per patch.
		replicates any column vector argument to produce matrices of the required size.
	www.tau.ac.il /cc/pages/docs/matlab/help/techdoc/ref/fill3.html (202 words)

	[No title] (Site not responding. Last check: 2007-10-26)
		% - is a column vector (with the same number of rows as % AllData) with decday values.
		% - is a column vector (with the same number of rows as % AllData) with year values.
		The elements are numbers from 1-365 (366 in % leap years indicating the day of the year of the % corresponding row in AllData, where 1=Jan 1, etc. % WkDay : is a integer column vector with the same number of rows % as AllData.
	www.indiana.edu /~climate/g470/labs/Matlab_Files/DecDateTime.m (456 words)

	Row/Column Data Vector Class : Row/Column Data Vector Class: _setCoordinates (Site not responding. Last check: 2007-10-26)
		The current row or column indicates to which row or column this row/column data vector refers.
		If this row/column data vector is used as an argument to the _getRowInfo or _setRowInfo method, this value is interpreted as the current row.
		If this Row/Column Data Vector instance is used as an argument to the _getColumnInfo or _setColumnInfo method, this value is interpreted as the current column.
	socrates.berkeley.edu /Help/Software/sashtml/af/z0231142.htm (129 words)

	Class java.awt.swing.table.DefaultTableModel (Site not responding. Last check: 2007-10-26)
		This is an implementation of TableModel that uses a Vector of Vectors to store the cell value objects.
		The vectors contained in the outer vector are each a single row of values.
		If the column removed is the sorting key, then the column after the removed column will become the new key.
	www.sbg.ac.at /docu/man/java/jdkdocs-1.2/api/java.awt.swing.table.defaulttablemodel.html (2951 words)

	15.3 Matrix Addition, Multiplication and Multiplication by a Number (Site not responding. Last check: 2007-10-26)
		A matrix having only one row is called a row vector; a matrix having only one column is called a column vector.
		The k-th basis vector (row or column) is the row or column vector whose components are all zeros except for a 1 in its kth place.
		Thus the 3rd basis row vector in 4 dimensions is (0, 0, 1, 0).
	www-math.mit.edu /~djk/18_022/chapter15/section03.html (502 words)

	[No title]
		% df0dx = Column vector with the derivatives of the objective function f_0 % with respect to the variables x_j, calculated at xval.
		% df0dx2 = Column vector with the non-mixed second derivatives of the % objective function f_0 with respect to the variables x_j, % calculated at xval.
		% a = Column vector with the constants a_i in the terms a_i*z.
	www.e.kth.se /~e94_jmy/opt/mmasub.m (583 words)

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