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	Design of an optimal Chebyshev-expanded discrimination function for globular proteins -- Fain et al. 11 (8): 2010 -- ...
		Chebyshev polynomials, the coefficients of which are determined
		Hamiltonian and its Chebyshev expansion is one of the main points
		The Chebyshev expansion is useful for three main reasons.
	www.proteinscience.org /cgi/content/full/11/8/2010 (5436 words)

	AS/SC/ MATH 3271 3.0 F
		Partial differential equations of mathematical physics and their solutions in various coordinates, separation of variables in Cartesian coordinates, application of boundary conditions; Fourier series and eigenfunction expansions; generalized curvilinear coordinates; separation of variables in spherical and polar coordinates.
		Further topics include Sturm--Liouville theory, the gamma function, and Bessel, Legendre, Laguerre, Hermite, Chebyshev, hypergeometric, and confluent hypergeometric equations and functions and their properties.
		Prerequisite:AS/SC/AK/MATH 2270 3.0; one of AS/SC/ MATH 2010 3.0, AS/SC/MATH 2015 3.0, AS/SC/AK/MATH 2310 3.0; AS/SC/AK/MATH 3010 3.0 is also desirable, though not essential, as prerequisite for students presenting AS/SC/MATH 2010 3.0 or AS/SC/AK/MATH 2310 3.0.
	www.math.yorku.ca /Calendar/1999-00/math3271.html (112 words)

	Undergraduate Catalog 2004-2005
		Engineering design continues in the junior year with the required course ENGR 3200 Introduction to Design where upper divisions students are once again introduced to the design process in a much more rigorous and comprehensive manner, building upon concepts introduced at the freshman and sophomore levels.
		Prerequisites: ENGR 2000, ENGR 2010 (or ENGR 2250), ENGR 2120, ENGR 2211 or 2221 or 2231.
		Statistics and engineering; probability; probability distributions; Chebyshev’s theorem; norman distribution; applications to operations research; treatment of data; hypothesis testing; method of least squares; regression; and application to engineering problems.
	www.tnstate.edu /catalog/2004-2005/College_of_Engineering.htm (2312 words)

	Bryson Burke Diamond Corporation: Diamond Exploration and Mining in Canada
		Presumably this fluid motion twists and shears magnetic field, generating new magnetic field to replace that which diffuses away.
		The magnetohydrodynamic equations that describe this problem are solved using a spectral method (spherical harmonic and Chebyshev polynomial expansions) that treats all linear terms implicitly and nonlinear terms explicitly [4].
		These equations are solved over and over, advancing the time dependent solution 20 days at a time.
	brysonburke.com /kimberlite_electromagnetics_core_convection.html (1111 words)

	Department of Mathematical Sciences :: Middle Tennessee State University
		A continuation of MATH 3120 with emphasis on series solutions, method of Frobenius, orthogonal functions, equations of Bessel, Legendre, Gauss, Chebyshev; introduction to partial differential equations.
		Required of all mathematics majors seeking a license to teach mathematics in grades 7-12.
		Prerequisite: CSCI 1170 or MATH 2010 or consent of instructor.
	mtsu32.mtsu.edu:11491 /courses/undergraduate_courses.html (2655 words)

	ICRS Narrative (Site not responding. Last check: 2007-10-31)
		Subroutines are adapted to established coding standards and validated for accuracy before being added to the SOFA collection.
		These ephemerides provide the positions and velocities of the nine major planets and the Moon with respect to the solar system barycenter, in rectangular coordinates.
		The data is represented in Chebyshev series form and Fortran subroutines are provided to read and evaluate the series for any date and time.
	aa.usno.navy.mil /faq/docs/ICRS_doc.html (4516 words)

	[No title] (Site not responding. Last check: 2007-10-31)
		All courses transferred from other institutions for credit in the Mathematics major or minor must carry a grade of C or better and be approved by the department chair.
		Students with a concentration in Actuarial Science may substitute ACSI 2020, 2030, 3020, and 3030 for MATH 1910, 1920, and 3110; STAT 3150 for MATH 2010; and ACSI 4200 for MATH 3460.
		Concentration: Professional Mathematics Students opting to study the discipline of mathematics will choose between tracks in general mathematics and advanced mathematics.
	www.mtsu.edu /ucat/2003/science/math.txt (4861 words)

	CSUH Catalog 2005-2006: Statistics (Undergraduate)
		STAT 3401, STAT 3502, and STAT 3601 may be taken with no previous background in Statistics and are open to students with the appropriate Mathematics prerequisites.
		Business and Economics majors require STAT 2010 or STAT 3502 and so must not take STAT 1000 (unless substitution of 1000/3010 for 2010 or 3502 has been approved by the major department).
		Get advance written permission from your department before making any of the following substitutions: 2010 for 1000; 1000/3010 for 2010; 3401/3502 for 3601; 3502 for 3031; 3502 (plus 5 elective units) for 1000/3010; 3503 for 4000.
	www.csuhayward.edu /ecat/20052006/u-stat.html (2521 words)

	Mathematics Other Homework Help
		In a sample of 50 individuals, 7 said they would pay up to $100 for Wor...
		Show if Chebyshev inequality is tight or not.
		I would be grateful for an explanation to the attached problem.
	www.brainmass.com /homeworkhelp/math/other/pg190 (537 words)

	JCC Jamestown Community College (Site not responding. Last check: 2007-10-31)
		CSC 2650: Numerical Analysis II Students will apply computer numerical methods to the concepts encountered in intermediate calculus.
		Topics include limits of sequences, sums of series, point-wise approximations of functions using Taylor polynomials, interval-wise approximations of functions using LaGrange and Chebyshev polynomials and Fourier series, and multiple integration.
		Students use a programming language such as C and a software package such as Mathematica.
	www.sunyjcc.edu /college-wide/offerings/csc.html (1829 words)

	USNO RECENT PUBLICATIONS
		Hilton, J. L., and Murison, M. "Optimized Chebyshev Polynomial Representations of Ephemerides," Bull.
		Hilton, J. L., and Stone, R. "The Asteroid Mass Determination Project at the U.S. Naval Observatory," in Impact of Modern Dynamics in Astronomy, Proceedings of the 172nd Colloquium of the International Astronomical Union held in Namur, Belgium, 6- 11 July 1998, edited by J. Henrard and S. Ferraz-Mello (Dordrecht: Kluwer), p.
		Matsakis, D. N., Miranian, M., and Koppang, P. "Steering The U.S. Naval Observatory (USNO) Master Clock," in Proceedings of the Institute of Navigation National Technical Meeting: Vision 2010, Present and Future, held at the Catamaran Hotel, San Diego, Ca., 25-27 January 1999 (Alexandria, Va.: Institute of Navigation), p.
	www.usno.navy.mil /library/libsource/PUBS99.HTML (6757 words)

	EPA: Federal Register: Unregulated Contaminant Monitoring Regulation (UCMR) for Public Water Systems Revisions
		In cases where data from two laboratories were available, three times the difference of the LCMRLs was added to the mean of the LCMRLs.
		In statistical theory (Chebyshev's Inequality), three standard deviations around the mean incorporates the vast majority (at least 88.9 percent) of the data points.
		In the case where there are only two laboratories, the difference serves as a surrogate for the standard deviation due to the uncertainty in the estimate of the standard deviation with only two data points.
	www.epa.gov /fedrgstr/EPA-WATER/2005/August/Day-22/w16385.htm (14705 words)

	MATH 1020 / STAT 2010 (Site not responding. Last check: 2007-10-31)
		MATH 1020 / STAT 2010 — FINAL EXAM REVIEW
		Measures of Central Tendency: Mean, Median, and Mode; Measures of Variation: Range, Standard Deviation, and Variance Coefficient of Variation, Chebyshev's Theorem,
		Hypothesis Testing of the population Mean and population Proportion
	webusers.xula.edu /cdiaz/m1020rev.html (203 words)

	Course Offerings
		one of AS/SC/MATH 2010 3.0, AS/SC/MATH 2015 3.0, AS/SC/AK/MATH 2310 3.0; one of AS/SC/AK/MATH 1021 3.0,
		MATH 2010 3.0, AS/SC/MATH 2015 3.0, AS/SC/AK/MATH 2310 3.0.
		Exclusion: Not open to any student who has passed or is taking
	www.math.yorku.ca /Minicalendar/2coursebody.htm (2102 words)

	The ASTRAL compendium for protein structure and sequence analysis -- Brenner et al. 28 (1): 254 -- Nucleic Acids ...
		Design of an optimal Chebyshev-expanded discrimination function for globular proteins
		Protein Sci., August 1, 2002; 11(8): 2010 - 2021.
		From the Cover: TRILOGY: Discovery of sequence-structure patterns across diverse proteins
	nar.oxfordjournals.org /cgi/content/full/28/1/254 (2799 words)

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