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Topic: Residual (mathematics)


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In the News (Thu 24 Jul 08)

  
 Writing the "The Market for ‘Lemons’": A Personal Interpretive Essay
It was believed that a significant part of the so-called “growth residual,” which is that part of growth that could not be accounted for by increases in capital or increases in the labor force, could be explained by the growth in education.
These new systems introduced a mathematics that could deal with goods (in this case capital) that varied continuously in their quality.
Edward Denison’s (1962) Sources of Economic Growth and the Alternatives Before Us, which followed Solow’s methodology in calculation of growth residuals, made estimates of the effects of increased education.
www.nobel.se /economics/articles/akerlof/index.html

  
 USF Mathematics --- Colloquia, Fall 2002
In this paper we use the cumulative distribution of a random variable to define the information content in it and thereby develop a novel measure of information that parallels Shannon entropy, which we call cumulative residual entropy (CRE).
Information Theory originates from two path breaking papers of Claude E. Shannon (1948) in which he proposed a quantitative measure of information and uncertainty in a random phenomenon based on the classical Boltzmann Entropy of Statistical Physics.
It is difficult to overestimate the influence of this work on modern information theory.
www.math.usf.edu /Research/fall02/colloquia   (776 words)

  
 Présentation
Complex Analysis and Analytic Geometry belong closely together and are one of the few fields in the center of pure mathematics with many applications to other areas of pure mathematics (algebraic geometry, differential geometry, dynamical systems, P.D.E., topology, number theory, etc.) and applied Mathematics (theoritical physics, geophysics, mathematical economy, tomography).
Residue morphisms; structure of residual currents; characterization of residual currents as a generalization of the characterization of holomorphic chains.
Residues are used in the theory of Feynman integrals and, for example, in geophysics and for sollution of equations of mathematical Physics.
www.math.jussieu.fr /projets/ac/Reseau/presentation.htm   (2291 words)

  
 Wastewater Treatment Plant Operator Classes
Math for Wastewater Operators, Grade I - II Entry and intermediate level WTPO level process math work with emphasis on; the use of the calculator, summary of process formulas, conversions, volumes, pounds problems, dosage/demand/residual, flow measurement, hydraulics, pump problems, velocity, wastewater lagoons, waste sludge, sedimentation and clarification, collection systems, pump stations, and grit chambers.
Emphasis is on the six (6) major components of the journeyman and senior level examination; Advanced theory of secondary wastewater treatment plant operations, Process mathematics, State and Federal Clean Water Act Regulations, Essay(s), Supervision, and Time management.
Reviews the history of disinfection with chlorine; a microbiology review of bacteria, viruses and protozoa; chlorine properties; the chlorine break point curve; dosage/demand/residual; alternatives to chlorine; i.e., ultra violet, ozone, and oxidizers; chlorination equipment and chlorine safety.
www.octinc.com /wwtpclasses.htm   (2291 words)

  
 90.07.08: Ship and Airplane Testing: Physics for High School Mathematics Students
Froude’s program was to determine the frictional resistances from the wetted surface areas of the model and the ship, determine the residual resistance of the model by towing the model, scale the model’s residual resistance up to the full size ship, and add it to the ship’s frictional resistance to get the ship’s total resistance.
The residual resistances varied as the displacements when the Froude number for both the model and the prototype were equal.
William Froude (1810-1879), a nineteenth century English scientist, was one of the first to use a towing tank to test the designs of ships.
www.yale.edu /ynhti/curriculum/units/1990/7/90.07.08.x.html   (7511 words)

  
 FLS: A Fortran Program for Flexible Least Squares Estimation
The residual efficiency frontier is the collection of all coefficient trajectory estimates that yield vector-minimal sums of squared residual measurement and dynamic errors conditional on a given set of observations.
The Fortran program FLS implements the flexible least squares (FLS) approach to time-varying linear regression developed by Robert E. Kalaba and Leigh Tesfatsion in "Time-Varying Linear Regression Via Flexible Least Squares", Computers and Mathematics with Applications Vol.
In analogy to the determination of Pareto efficiency frontiers for multicriteria decision problems, the basic FLS objective is to determine the residual efficiency frontier for linear regression problems.
www.econ.iastate.edu /tesfatsi/fls.htm   (7511 words)

  
 Idempotent closing and opening operations in fuzzy mathematical morphology
Index Terms- fuzzy logic; mathematical morphology; duality (mathematics); image processing; fuzzy set theory; idempotent closing operations; idempotent opening operations; fuzzy mathematical morphology; fuzzy dilation; fuzzy erosion; fuzzy logical operators; conjunctor; residual implicator; duality relationships; B-open fuzzy objects; B-closed fuzzy objects; minimum operator; Lukasiewicz t-norm
Fundamental classical theorems are generalized for the minimum operator and its residual implicator, and for the Lukasiewicz t-norm and its residual implicator.
A logical approach to the fuzzification of binary mathematical morphology is presented.
csdl2.computer.org /persagen/DLAbsToc.jsp?resourcePath=/dl/proceedings/&toc=comp/proceedings/isuma/1995/7126/00/7126toc.xml&DOI=10.1109/ISUMA.1995.527698   (259 words)

  
 Publication Directory of Jun Zhang
[16] Residual scaling techniques in multigrid, I: equivalence proof, Applied Mathematics and Computation, Vol.
[13] Convergence of iterative methods for a fourth-order discretization scheme, Applied Mathematics Letters, Vol.
Wang, M. Allen, B. Chen, and T. Mathew, editors, Volume 4 in IMACS Series in Computational and Applied Mathematics, IMACS, pages 331-336, 1998.
www.cs.engr.uky.edu /~jzhang/Pubdir.html   (259 words)

  
 FLS: A Fortran Program for Flexible Least Squares Estimation
The residual efficiency frontier is the collection of all coefficient trajectory estimates that yield vector-minimal sums of squared residual measurement and dynamic errors conditional on a given set of observations.
The Fortran program FLS implements the flexible least squares (FLS) approach to time-varying linear regression developed by Robert E. Kalaba and Leigh Tesfatsion in "Time-Varying Linear Regression Via Flexible Least Squares", Computers and Mathematics with Applications Vol.
In analogy to the determination of Pareto efficiency frontiers for multicriteria decision problems, the basic FLS objective is to determine the residual efficiency frontier for linear regression problems.
www.econ.iastate.edu /tesfatsi/fls.htm   (228 words)

  
 glasstop.txt
Dr. Particle has missed most of all of this conversation, having been watching the striking effects of the wind on the water, the darker residuals of the earlier mile (or miles) long cigar-like roll of cloud now wholly dissolved of its anomolous shape, and the residual is now rolling overhead in fast haste shoreward.
It happens that certain mathematics lead directly to other mathematics, and it is this first 'certain' mathematics, which intrinsically connects to the second, that I have been calling 'Hyperwaves' for lack of any other convenient term, since no term exists in present day physics for such connections, ie.
Particle has picked up the sheet I had in hand seconds before, and glancing at it, nods and puts it back down, putting it aside, and is now looking at other sheets which I had rapidly shuffled a few seconds before.
missingmass.net /glasstop.txt   (228 words)

  
 A Theoretical Overview Of Krylov Subspace Methods - Weiss (ResearchIndex)
The Conjugate Gradient (CG) method is a classic example of a short recurrence method [5] The generalized minimum residual method (GMRES) is an example of a long...
257 QMR: a quasi-minimal residual method for non-Hermitian linea..
@article{ weiss96theoretical, author = "R{\"u}diger Weiss", title = "A theoretical overview of {Krylov} subspace methods", journal = "Applied Numerical Mathematics: Transactions of IMACS", volume = "19", number = "3", pages = "207--233", year = "1996", url = "citeseer.ist.psu.edu/weiss95theoretical.html" }
citeseer.ist.psu.edu /weiss95theoretical.html   (981 words)

  
  CHING LUNG CHANG
C.L. Chang: Four talks at National Chiao-Tung University, Taiwan: “Least squares FEM for Stokes problem with zero residual of mass conservation”, September 10 to 17, 1996.
Visiting Associate Professor, Mathematics, University of Texas at Arlington,
  Assistant Professor, Mathematics, Cleveland State University, 1985-1991.
www.csuohio.edu /math/CLChang/Rsm.htm   (1278 words)

  
 New Zealand Mathematical Societu Newsletter Number 83, December 2001
Here the full force of the theory is brought to bear on important and interesting problems such as the algorithmic theory of negatively curved groups (solutions to word problems, residual finiteness decompositions and so forth).
The LOGOS#10 conference on "Research Issues in Statistics Education and Statistics in the New Zealand Mathematics Curriculum'' was held on September 3.
We were pleased to also coordinate arrangements for him to be an invited speaker at the NZ Association of Mathematics Teachers Conference in Wellington in the first week of July.
ifs.massey.ac.nz /mathnews/NZMS83/news83.htm   (1278 words)

  
 Ship and Airplane Testing: Physics for High School Mathematics Students
Froude’s program was to determine the frictional resistances from the wetted surface areas of the model and the ship, determine the residual resistance of the model by towing the model, scale the model’s residual resistance up to the full size ship, and add it to the ship’s frictional resistance to get the ship’s total resistance.
The Sound School is one of the schools of choice offered to high school students by the New Haven Public Schools.
where V is the velocity, L is a representative length such as the diameter of a pipe, the length of a ship, or the chord of an airfoil, and v is the kinematic viscosity.
www.yale.edu /ynhti/pubs/A5/langan.html   (1278 words)

  
 Mechanical and Aerospace Engineering [Research in Solid Mechanics & Materials Science]
She was a visitor at the mathematics department of Carnegie-Mellon University and the Department of Applied Mechanics at California Institute of Technology before joining the faculty at UCSD in 1987.
He has served as a reviewer to numerous international journals of mechanics and applied mathematics and was elected in 2000 to the Montenegrin Academy of Sciences and Arts.
Current projects include the constitutive theory of residually stressed elastic materials, elucidation of the role of residual stress in growth, and the development of a mechanical model of the red blood cell membrane that incorporates structural detail at the level of cytoskeletal proteins and their interactions.
maeweb.ucsd.edu /solids.html   (1687 words)

  
 MESA Memo 64: Measurement for Psychology
Each measure is accompanied by a realistic estimate of its precision and a mean square residual-from-expectation evaluation of the extent to which the raw ordinal data from which the measure has been estimated fit the measurement model.
Although mathematics did not initiate the practice of measurement, it is the mathematics of measurement which provide the ultimate foundation for better practice and the final logic by which useful measurement evolves and thrives.
This is a universal characteristic of all measurement.
www.rasch.org /memo64.htm   (1687 words)

  
 Max Noether's theorem - tScholars.com
Max Noether's residual intersection theorem (Fundamentalsatz or fundamental theorem,is a result on algebraic curves in the projective plane, on the residual sets of intersections.
In mathematics, Max Noether's theorem in algebraic geometry may refer to at least four results of Max Noether.
There is a Max Noether theorem on the generation of the quadratic differentials on a curve by the Abelian differentials, for curves of genus > 2 that are not hyperelliptic curves.
www.tscholars.com /encyclopedia/Max_Noether%27s_theorem   (291 words)

  
 ~drmac
Z. Drmaè: On relative residual bounds for the eigenvalues of a Hermitian matrix, Lin.
Relative eigenvalue perturbations of diagonalizable matrices, Third Symposium on Matrix Analysis and Applications, Western Michigan University, Kalamazoo, Michigan, USA 1995.
On high relative accuracy in matrix singular value and symmetric eigenvalue problems - from perturbation theory to accurate algorithms, Center for Computational Mathematics, Department of Mathematics, University of Colorado at Denver, Denver, Colorado, USA, 1997.
www.math.hr /~drmac   (291 words)

  
 Max Noether's theorem - tScholars.com
In mathematics, Max Noether's theorem in algebraic geometry may refer to at least four results of Max Noether.
Max Noether's residual intersection theorem (Fundamentalsatz or fundamental theorem,is a result on algebraic curves in the projective plane, on the residual sets of intersections.
There is a Max Noether theorem on the generation of the quadratic differentials on a curve by the Abelian differentials, for curves of genus > 2 that are not hyperelliptic curves.
www.tscholars.com /encyclopedia/Max_Noether%27s_theorem   (299 words)

  
 Landen
Landen was never a professional mathematician and his interest in mathematics was for him a leisure activity.
Landen's work appeared as A Short Discourse Concerning the Residual Analysis published in 1758 and, in a more complete form, in Residual analysis which was published in 1764.
Naturally, Landen's language is that of his time, in terms of fluents and fluxions, and his arguments are not rigorous in the modern sense.
www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Landen.html   (611 words)

  
 Big O notation - Wikipedia, the free encyclopedia
It has two main areas of application: in mathematics, it is usually used to characterize the residual term of a truncated infinite series, especially an asymptotic series, and in computer science, it is useful in the analysis of the complexity of algorithms.
Big O notation is a mathematical notation used to describe the asymptotic behavior of functions.
In mathematics, both asymptotic behaviours near ∞ and near a are considered.
en.wikipedia.org /wiki/Big_O_notation   (1424 words)

  
 Companies - Specializing - Curve Fitting Software
Specializes in: datafit, normal, statistics, windows, model, exponential, program, graphing, nonlinear regression, least, mathematics, multivariate, engineering, nist, regression, t test, polynomial, non linear regression, correlation, leastsquares, graph, nonlin, residual, variables, equation, linear regression, curvefitting, parameter estimation, math, probability, plotting, scatter, oakdale engineering, coefficient, curves, squares, software, curve fitting, plot
Specializes in: numerica, plotting software, numerical mathematics, dipl phys ing ralf wirtz, daten, simplexnumerica, data analysis, data, numerik, simplex, numerische mathematik, curve fitting, spline
DataFit curve fitting, statistical analysis and data plotting software.
www.soft411.org /companies/curve-fitting.html   (486 words)

  
 Civil and Environmental Engineering Department
The undergraduate engineering program is designed to impart knowledge of mathematics and natural sciences to students so that they learn to use the forces of nature and materials economically while maintaining engineering ethics and high professional standards.
All mathematics and physical science courses required for the degree must be completed with at least a “C minus” (1.7) grade to count as prerequisite courses to engineering courses or as credit towards the degree.
Process dynamics; reactions and kinetics; reactor engineering and process design; pretreatment operations and physical, chemical and biological treatment operations; residual management and treatment process train selection.
www.fullerton.edu /catalog/academic_departments/egce.asp   (486 words)

  
 euclidean geometry
A foreign corrupt practices and the put call parity relationship and the elasticity of an option and the residual method and the tufts health insurance.
See live article   Euclidean geometry In mathematics, Euclidean geometryis the familiar kind of geometry of at most...
Reference 4 External link 5 See also Description The term non- Euclidean geometry describes both hyperbolic and elliptic geometry, which are...
www.solutionsellinggroup.com /euclidean-geometry.html   (486 words)

  
 Combinatorial Group Theory: Presentations of Groups in Terms of Generators and Relations
The concluding chapter surveys word, conjugacy, and related problems; adjunction and embedding problems; varieties of groups; products of groups; and residual and Hopfian properties.
Combinatorial Group Theory: Presentations of Groups in Terms of Generators and Relations
A seminal, much-cited account of combinatorial group theory-co-authored by a distinguished teacher of mathematics and a pair of his colleagues-this text for graduate students features numerous helpful exercises.
store.doverpublications.com /0486438309.html   (486 words)

  
 CURRICULUM VITAE - Luís Nunes Vicente
Vicente, A. Topa, C. Paiva, and A. Barbosa, Application of the least squares boundary residual method to the study of step discontinuities in dielectric planar waveguides, Proceedings of the Meeting on Applied Mathematics to Telecommunications, ed.
Numerical methods for nonlinear programming: interior-point and SQP algorithms; globalization by the trust-region and filter techniques; degeneracy and solution of subproblems arising from global optimization.
R. Silva, The Primal-Dual Interior-Point Method for Nonlinear Optimization and its Globalization by the Filter Technique, October 1999 - June 2002.
www.mat.uc.pt /~lnv/cv.html   (486 words)

  
 EMLS 9.1 (May, 2003]: 6.1-58 How to Read an Early Modern Map
Where an original Platonism discovers the origins of mathematics in the ideal, and medieval and renaissance Hermeticism seeks to harness the virtues of these ideal origins within mundane practice, Ramus discovers a "closed circuit" leading from and back to human use (Hooykaas 20-21).
And whilst there may seem in retrospect to be a great distance between the mystic "visions" of medieval Neoplatonism and the positivist observations of the empiricist enlightenment, it seems that, as Martin Jay has put it, the "positive associations of geometrical order" residual in the latter still owed no small debt to the former (54).
Cosgrove is interested in the permeation of a strain of geometric Platonic idealism, which he calls a "Euclidean ecstasy," through sixteenth-century discourses ranging from the pure metaphysical to the determinedly practical, and through discourses concerned with newly dignified and "intellectual" arts such as perspectival painting in between.
www.shu.ac.uk /emls/09-1/edwamaps.html   (486 words)

  
 A Posterior Error Estimation in Finite Element Analysis (Pure and Applied Mathematics (Wiley)): ‹IˆÉ𠉮‘“XBookWeb
A Posterior Error Estimation in Finite Element Analysis (Pure and Applied Mathematics (Wiley))
A Posterior Error Estimation in Finite Element Analysis (Pure and Applied Mathematics (Wiley)): ‹IˆÉ𠉮‘“XBookWeb
Explicit a posteriori estimators; implicit a posteriori estimators; recovery based error estimators; estimators, indicators and hierarchic bases; the equilibrated residual method; methodology for the comparison of estimators; estimation of the errors in quantities of interest; some extensions.
bookweb.kinokuniya.co.jp /htmy/047129411X.html   (486 words)

  
 Bibiolography on A-posteriori Estimation and Superconvergence
`A model study of element residual estimators for linear elliptic problems: The quality of the estimators in the interior of meshes of triangles and quadrilaterals', Computers and Structures, 57, (1995) 1009-1028.
Superconvergence in Galerkin Finite Element Methods, Lecture Notes in Mathematics, 1605, Springer-Verlag, New York, 1995.
`Element by element a posteriori error estimation of the finite element analysis for three-dimensional elastic problems', Internat.
www.isc.tamu.edu /~srihari/refer.html   (2040 words)

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