2006 Mathematics Advanced Higher Finalised Marking Instructions  The Scottish Qualifications Authority 2006 The information in this publication may be reproduced to support SQA qualifications only on a

Source URL: www.sqa.org.uk

• Analytic functions
• Differentiation rules
• E
• Logarithms
• Natural logarithm
• Sine
• Product rule
• Trigonometric functions
• Integration by parts
• Chebyshev polynomials

Spectral Graph Theory Lecture 17 Iterative solvers for linear equations Daniel A. Spielman

Source URL: www.cs.yale.edu

• Orthogonal polynomials
• Approximation theory
• Chebyshev polynomials
• Matrix theory
• Polynomial
• Eigenvalues and eigenvectors

Numerical Methods Dr Dana MackeyNovemberProblem Sheet 4: Chebyshev polynomials and optimal

Source URL: www.maths.dit.ie

The Parks-McClellan algorithm and Chebyshev-proxy root finding methods Silviu Filip N. Brisebarre and G. Hanrot (AriC, LIP, ENS Lyon)

Source URL: fastrelax.gforge.inria.fr

Elementary Aspects of the Verlinde Formula and of the Harder-Narasimhan-Atiyah-Bott Formula Don Zagier

Source URL: people.mpim-bonn.mpg.de

• Mathematical analysis
• Mathematics
• Analysis
• Orthogonal polynomials
• Integer sequences
• Polynomials
• Approximation theory
• Chebyshev polynomials
• Generating function
• Bessel function
• Bernoulli number
• Binomial coefficient

PHYSICAL REVIEW B 90, Chebyshev expansion for impurity models using matrix product states Martin Ganahl,1,* Patrik Thunstr¨om,2 Frank Verstraete,3,4 Karsten Held,2 and Hans Gerd Evertz1 1

Source URL: www.ifp.tuwien.ac.at

NEIGHBORLINESS OF THE SYMMETRIC MOMENT CURVE Alexander Barvinok, Seung Jin Lee, and Isabella Novik November 2011 Abstract. We consider the convex hull Bk of the symmetric moment curve Uk (t) =

Source URL: www.math.lsa.umich.edu

• Mathematical analysis
• Sine
• Complex analysis
• Exponentials
• Chebyshev polynomials

An explicit formula for the A-polynomial of twist knots Daniel V. Mathews March 9, 2014 Abstract We extend Hoste–Shanahan’s calculations for the A-polynomial of twist knots, to give an explicit formula.

Source URL: www.danielmathews.info

• Mathematical analysis
• Mathematics
• Orthogonal polynomials
• Polynomials
• Binomial coefficient
• Combinatorics
• Knot theory
• Special functions
• Chebyshev polynomials
• Partial fractions in complex analysis

Lecture Notes: Chebyshev Spectral Methods Homer Reid April 29, 2014 Contents

Source URL: homerreid.dyndns.org

• Mathematical analysis
• Mathematics
• Interpolation
• Polynomials
• Fourier analysis
• Approximation theory
• Trigonometry
• Polynomial interpolation
• ClenshawCurtis quadrature
• Chebyshev polynomials
• Fourier transform
• Polynomial

RIGOROUS UNIFORM APPROXIMATION OF D-FINITE FUNCTIONS USING CHEBYSHEV EXPANSIONS ALEXANDRE BENOIT, MIOARA JOLDES, AND MARC MEZZAROBBA Abstract. A wide range of numerical methods exists for computing polynomial approximati

Source URL: www.marc.mezzarobba.net

• Algebra
• Orthogonal polynomials
• Elementary algebra
• Numerical analysis
• Approximation theory
• Chebyshev polynomials
• Polynomial
• Recurrence relation
• Holonomic function
• Minimax approximation algorithm
• Rational function
• Factorization