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Topic: Maximum norm

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	Weather-2001-UMass Cranberry Station
		Maximum temperature was 51 degrees on the 21st and a minimum temperature of 9 degrees was recorded on the 23rd.
		Maximum temperature was 54 degrees on the 24th and a minimum temperature of 20 degrees was recorded on the 1st and 2nd.
		Maximum temperature was 73 degrees on the 30th and a minimum temperature of 27 degrees was recorded on the 4th and 5th.
	www.umass.edu /cranberry/services/weather/weather2001.shtml (2724 words)

	Matrix norm
		A matrix norm is a norm on the vector space of all real or complex m-by-n matrices.
		These norms are used to measure the "sizes" of matrices, and allow to talk about limits of sequences and infinite series of matrices.
		The set of all n-by-n matrices, together with such a sub-multiplicative norm, is a Banach algebra.
	www.ebroadcast.com.au /lookup/encyclopedia/ma/Matrix_norm.html (254 words)

	Vector And Matrix Norms
		In all cases, the norm of a scalar is equal to its absolute value.
		The Frobenius norm of x is the square root of the sum of the squares of the absolute value of the elements of x.
		If x is not a vector or an empty matrix and p is equal to 1, the return value is the maximum with respect to the columns of x of the sum of the absolute value of the elements in each column.
	www.omatrix.com /manual/normfunction.htm (388 words)

	Norm (mathematics) - Wikipedia, the free encyclopedia
		In linear algebra, functional analysis and related areas of mathematics, a norm is a function which assigns a positive length or size to all vectors in a vector space, other than the zero vector.
		The set of vectors whose Euclidean norm is a given constant forms the surface of a sphere.
		is a rhomboid, for the 2-norm (Euclidean norm) it is the well-known unit circle, while for the infinity norm it is a square.
	en.wikipedia.org /wiki/Norm_(mathematics) (1160 words)

	Norm Method
		Calculates the one norm, the maximum column sum of absolute values.
		Calculates the Euclidean norm of the matrix, the largest singular value of the matrix.
		Calculates the infinity norm of the matrix, the largest row sum of absolute values.
	www.bluebit.gr /matrix/version_31/Norm.htm (168 words)

	NORM
		The NORM function computes the norm of a vector or a two-dimensional array.
		Returns the Euclidean or infinity norm of a vector or an array.
		Euclidian Norm of A = 4.35890 Infinity Norm of B = 6.9907048
	www.astro.princeton.edu /~esirko/idl_html_help/N6.html (219 words)

	SEBI deletes CSE's maximum fine norm
		Sources said that attempts made by the exchange to amend the provisions of the Articles enabling an increase in the existing amount of fine ended in vain on account of the resistance from members.
		The paltry sum of Rs 25,000 as fine was not viewed as a deterrent, given the large volumes of private deals (commonly described as unofficial badla) that had been struck by members of the exchange.
		Some of the members were fined Rs 25,000 as that was the maximum fine that could be levied in accordance with the Articles of Association of the Exchange.
	www.thehindubusinessline.com /2001/12/26/stories/022662cs.htm (303 words)

	FIDE Online. FIDE Handbook: Chess rules
		Norms can be achieved only after the age of 18.
		For a candidate, being a match arbiter in an Olympiad is equivalent to one FA norm.
		The norm reports supporting a title application must be for at least two different types of tournament, or at least one international rated event according to 3.6(d), and achieved in events with starting dates that fall within a six-year period.
	www.fide.com /official/newhandbook.asp?level=DD112 (738 words)

	BioMed Central \| Full text \| A hybrid clustering approach to recognition of protein families in 114 microbial genomes
		Similar behaviour is observed at other inflation values and with clusters of size n ≥ 2, although of course with different numbers of families and of proteins within these families, and with different inflection points.
		The minimum threshold is the greater of the minimum possible threshold (here 0.01) and the increment just greater than that at which one or more genomes becomes represented more than once in the cluster.
		Maximum and minimum thresholds for the MRCs are shown in Figures 6a and 6b respectively, and the distribution of ranges of maximality in Figure 6c.
	www.biomedcentral.com /1471-2105/5/45 (5556 words)

	Chalmers Publications: 692 On A Posteriori Error Estimation in the Maximum Norm
		In this thesis we consider residual-based a posteriori error estimates in the maximum norm for the finite element solution of some partial differential equations.
		We prove a global error estimate in the maximum norm.
		In the third paper we combine techniques from the first two papers to prove an a posteriori error estimate in the maximum norm for a time dependent convection-diffusion problem.
	publications.lib.chalmers.se /records/full_record/692.html (221 words)

	[No title]
		CONorm2[X,n,prec] gives the euclidean norm (2-norm) of the vector X of size n rounded off to prec significant decimal places.
		CONormi[X,n,prec] gives the maximum norm (infinity norm) of the vector X of size n rounded off to prec significant decimal places.
		The string no is worth "n1", "n2" or "ni" and indicates that the norm to be compared with tol is either the 1-norm, the euclidean norm or the maximum one.
	library.wolfram.com /infocenter/MathSource/4624/NumDocum.txt (1515 words)

	Math::MatrixReal - Matrix of Reals
		Note that the ``one''-norm and the ``maximum''-norm are mathematically equivalent, although for the same matrix they usually yield a different value.
		Throughout this package, the ``one''-norm is (arbitrarily) used for all comparisons, for the sake of uniformity and comparability, except for the iterative methods ``solve_GSM()'', ``solve_SSM()'' and ``solve_RM()'' which use either norm depending on the matrix itself.
		Note that the case ``n = 1'' is the ``one''-norm for matrices applied to a vector, the case ``n = 2'' is the euclidian norm or length of a vector, and if ``n'' goes to infinity, you have the ``infinity''- or ``maximum''-norm for matrices applied to a vector!
	www.xav.com /perl/site/lib/Math/MatrixReal.html (5725 words)

	Programming Assignment #2 (Site not responding. Last check: 2007-10-10)
		Maximum (Lmax) and minumum (Lmin) radiance on each mesh element were computed and converted to brigthness.
		L1 norm computes the difference between maximum and minimum radiance on the mesh element.
		Linfinity norm simply computes the difference between maximunm and minimum radiance on the mesh element.
	www.cs.utah.edu /~premoze/radiosity/pa2/pa2.html (214 words)

	Mathematics of Computation
		N.Yu.Bakaev, Maximum norm resolvent estimates for elliptic finite element operators, BIT 41 (2001), 215-239.
		C.Palencia, Maximum norm analysis of completely discrete finite element methods for parabolic problems, SIAM J. Numer.
		A.H.Schatz, V.Thomée, and L.B.Wahlbin, Maximum norm stability and error estimates in parabolic finite element equations, Comm.
	www.ams.org /mcom/2003-72-244/S0025-5718-02-01488-6/home.html (686 words)

	The CPAN Search Site - search.cpan.org
		This is a very simple norm which is defined as the sum of the absolute values of every element.
		It is defined as the maximum element of the vector.
		This norm is similar to that of a p-norm where p is 2, except it acts on a matrix, not a vector.
	search.cpan.org /~leto/Math-MatrixReal-1.9/MatrixReal.pm (7776 words)

	The MuPAD Functions and Library Packages (Site not responding. Last check: 2007-10-10)
		calculates numerically the norm of a polynomial whose coefficients are numbers or expressions which may be converted to numbers via
		If the coefficient ring of the polynomial is a domain then this must have the method
		The method must return the norm of a domain element as a number or an expression which may be converted to a number via
	math.berkeley.edu /~mgu/mupad/mupad_html_help/man_eng168.html (134 words)

	Voronoi Cells, Holes and Covering Radius (Site not responding. Last check: 2007-10-10)
		Return a sequence of vectors which are the deep holes of L. The deep holes are defined to be the holes of maximum norm and are points of maximum distance to all lattice points.
		Return the covering radius of the lattice L which is the norm of the deep holes of L. Note that this involves computing the Voronoi cell of L around the origin.
		So there are 126 holes of norm 17/9, 16 holes of norm 2, etc. We now investigate the Voronoi cell as a polyhedron.
	www.math.colostate.edu /manuals/magma/htmlhelp/text545.html (559 words)

	Approximate Matrix Inverses and the Condition Number
		One example of a vector norm is the Euclidean norm:
		The matrix norm corresponding to a vector norm is the real-valued function A
		For every vector norm and every pair of vectors x and y, with x nonzero, there is a matrix A such that Ax = y and A
	www.efgh.com /math/invcond.htm (1135 words)

	ISMP 2000 - Meeting Topics (Site not responding. Last check: 2007-10-10)
		The request of optimal design of digital filters leads to linear and nonlinear(possibly constrained) approximation problems in the complex plane, where the least-squares and the maximum Lp-norm are the normal choices for the error measure.
		In order to make these problems numerically solvable, in the past especially the nonlinear problems had to be modified considerably.Our aim with this talk is to show that the four central design problems for nonrecursive and recursive digital filters can be stated as semi-infinite programming problems and can be solved directly in this form.
		Our design examples include maximum norm and least-squares norm designs as well as designs which compromise between both norms and are solutions of vector optimization problems.
	www.isye.gatech.edu /ismp2000/schedule/session_pages/TUC-31-IC115.html (365 words)

	JSpline+ API Specification: Class RealMath
		Calculates the euqlidian norm of a vector presented by
		Calculates the maximum modules norm of a vector presented by RealPointer.
		Calculates the sum of modules norm of a vector presented by
	www.excelsior-usa.com /doc/jspline/api/ru/sscc/util/data/RealMath.html (3306 words)

	Springer Online Reference Works
		Note that the above inequality implies a convergence estimate in the maximum norm.
		An important question is to establish a maximum principle for the approximations obtained with the Crank–Nicolson method, similar to the one satisfied by the solutions of the heat equation.
		J.F.B.M. Kraaijevanger, "Maximum norm contractivity of discretization schemes for the heat equation" Appl.
	eom.springer.de /c/c120260.htm (1010 words)

	Maximum Norm Error Estimators For Three Dimensional Elliptic Problems (Site not responding. Last check: 2007-10-10)
		Maximum Norm Error Estimators For Three Dimensional Elliptic Problems
		We prove that the estimator is equivalent, up to logarithmic factors of the meshsize, to the maximum norm of the error.
		Finally, we present some numerical results comparing adaptive procedures based on controlling the error in different norms.
	cabmec1.cnea.gov.ar /darie/ddpsiam (107 words)

	The Graphical User Interface (Partial Differential Equation Toolbox)
		Can be a constant or a function of x and y given as a MATLAB expression that can be evaluated on the nodes of the current mesh.
		The type of norm used for computing the residual.
		for an energy norm, or as a real scalar p to give the lp norm.
	www-rohan.sdsu.edu /doc/matlab/toolbox/pde/3gui9.html (546 words)

	SSRN-On Generating Correlated Random Variables with a Given Valid or Invalid Correlation Matrix by Sudhanshu Mishra
		NJ Higham (2002) provides a method to generate R from Q that satisfies the minimum Frobenius norm condition for (Q-R).
		Ali Al-Subaihi (2004) gives another method, but his method does not produce an optimal R from Q. In this paper we propose an algorithm to produce an optimal R from Q by minimizing the maximum norm of (Q-R).
		The proposed algorithm is based on factorization of R, yet it is different from the Kaiser Dichman (1962) procedure.
	papers.ssrn.com /Sol3/papers.cfm?abstract_id=571601 (365 words)

	Chapter 7 Preview (Site not responding. Last check: 2007-10-10)
		There is a technical reason it is also called "infinity".
		It is called a norm because it satisfies some very general axioms (all things satisfying these axioms are called norms):
		and this "distance" will have most of the desired properties (non-negative, triangle inequality, etc.) because of the norm axioms.
	www.cs.toronto.edu /~trebla/ch07-preview.html (418 words)

	Norm Flexibility and Private Initiative
		With loyal enforcers, maximum norm flexibility is optimal, so as to exploit both marginal and average deterrence.
		With corrupt enforcers, instead, the legislator should prefer more rigid norms that prevent bribery and misreporting, at the cost of reducing marginal deterrence and stunting private initiative.
		The greater is potential corruption, the more rigid the optimal norms.
	ideas.repec.org /p/sef/csefwp/163.html (673 words)

	Computation of the maximum H_infinity-norm of parameter-dependent linear systems by a branch and bound algorithm (Site not responding. Last check: 2007-10-10)
		Computation of the maximum H_infinity-norm of parameter-dependent linear systems by a branch and bound algorithm
		TITLE: Computation of the maximum H_infinity-norm of parameter-dependent linear systems by a branch and bound algorithm
		ABSTRACT: For linear systems that contain unspecified parameters that lie in given intervals, we present a branch and bound algorithm for computing the maximum H_infinit-norm over the set of uncertain parameters.
	www.stanford.edu /~boyd/norm_pdls.html (78 words)

	COND
		You may use the LNORM keyword to specify the L
		norm, the condition number is defined as the ratio of the largest singular value to the smallest.
		Set this keyword to an integer value to indicate which norm to use for the computation.
	www.physics.nyu.edu /grierlab/idl_html_help/C35.html (193 words)

	Available Displays
		Convergence plots are log-log graphs of the number of nodes or cpu time vs. the estimate of the energy norm of the error (relative to the norm of the solution), the true energy norm of the error, the maximum norm (
		norm) of the error, or the error estimate and energy norm together (see Fig.
		If the true solution is not provided, only the error estimate makes sense.
	math.nist.gov /reports/mgghat/userguide/node32.html (261 words)

	FIDE Online. FIDE Handbook: Chess rules
		number of norms that can be used in application
		An arbiter in the highest division of the National Team Championship, whereby the following requirements are met: a minimum of four boards per team;
		The title of International Arbiter can be awarded only to applicants who have already been awarded the title of FIDE Arbiter.
	www.fide.com /official/handbook.asp?level=B05 (785 words)

	Data Fitting for Matlab Users - Download TOMLAB
		are formulated, J = 1,...,L. Minimize { Maximum {F(I,X)
		The problem is transformed into a smooth nonlinear programming problem by introducing one additional variable Z yielding the objective function
		Similar to the model above, one additional variable X is introduced to get a simple objective function of the type
	tomopt.com /tomlab/products/nlpql/solvers/DFNLP.php (188 words)

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