Code covered by the BSD License
Highlights from
Chebfun
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A greedy algorithm for choosi...
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A keyhole contour integral
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A parameter dependent ODE wit...
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A periodic ODE system
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A wiggly function and its bes...
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ANGLE, UNWRAP, and branches o...
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Abscissa of the linearized Vl...
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Absolute value approximations...
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Advection-diffusion equation ...
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An Allen-Cahn equation with c...
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An ellipse rolling around ano...
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Approximation of piecewise li...
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Area and centroid of a 2D reg...
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Automatic differentiation in ...
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Battery test of Chebfun as an...
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Best approximation with the R...
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Birthday cards and analytic f...
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Blowup equation (Frank-Kamene...
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Bouncing photon, Sinai billia...
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Boundary layer for advection-...
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CHEBFUN GUIDE 10: NONLINEAR O...
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CHEBFUN GUIDE 1: GETTING STAR...
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CHEBFUN GUIDE 2: INTEGRATION ...
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CHEBFUN GUIDE 3: ROOTFINDING ...
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CHEBFUN GUIDE 4: CHEBFUN AND ...
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CHEBFUN GUIDE 5: COMPLEX CHEB...
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CHEBFUN GUIDE 6: QUASIMATRICE...
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CHEBFUN GUIDE 7: LINEAR DIFFE...
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CHEBFUN GUIDE 8: CHEBFUN PREF...
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CHEBFUN GUIDE 9: INFINITE INT...
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CHEBFUN GUIDE: INDEX
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Can one hear the shape of a c...
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Carrier equation
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Chebyshev Coefficients
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Chebyshev interpolation of os...
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Chebyshev polynomials as plot...
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Complex roots near the real a...
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Computing The Complex Singula...
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Condition numbers of various ...
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Convergence rates for interpo...
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Coupled system of reaction-di...
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Double-well Schrödinger ...
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Dual points, lines, polygons ...
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Eigenstates of the Schroeding...
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Eigenvalue level repulsion
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Eigenvalues of the Fox-Li int...
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Exact solutions of some ODEs
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Extrema of a complicated func...
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Field of values and numerical...
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Fractional calculus in Chebfun
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Frequencies of a drum
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Gauss and Clenshaw-Curtis qua...
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Gauss quadrature nodes and we...
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Generalized Polynomial Chaos
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Gravitational force between t...
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Half-wave rectifier
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Halphen's constant for approx...
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Happy Valentines Day!
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Heat equation via EXPM
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Histogram from function or da...
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Jump Conditions in BVPS
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Lane-Emden equation from astr...
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Least-squares data fitting an...
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Lebesgue functions and Lebesg...
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Linear EXP initial-value prob...
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Linear sine/cosine initial-va...
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Lissajous curves
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Local complexity of a function
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Matched asymptotics and bound...
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MathJax Introduction
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Maxwell's equations
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Mercer's theorem and the Karh...
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Merry Christmas!
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Model of a quantum dot array ...
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Multiple BVP solutions by sol...
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Nonlinear ODE modeling solar ...
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Nonnormality quiz from Trefet...
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Nonstandard 'Boundary' Condit...
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Optimization of a parameteris...
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Orbiting around fixed stars
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Orr-Sommerfeld eigenvalues
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Orthogonal polynomials via th...
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Orthogonal polynomials via th...
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Parameter-dependent ODEs: Thr...
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Perimeter of an ellipse
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Piecewise Operators Demo
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Polynomial basis for Hermite ...
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Polynomial eigenproblems with...
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Procrustes shape analysis
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Rational interpolation, robus...
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Resampling of random variables
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Resolvent norm on the imagina...
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Roots of a Bessel function
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Roots of a complex function v...
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Roots of a secular equation w...
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Roots of random polynomials
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Schwarz-Christoffel toolbox a...
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Simple computations with prob...
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Singular Value Decomposition ...
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Spike integral
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Stability Regions of ODE Form...
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Stability of a thermoelastic ...
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Stochastic collocation for Bu...
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System of two nonlinear BVPs
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The Dixon-Szego function in 2...
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The FFT in Chebfun
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The Mystery of Bernoulli Poly...
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The Nullspace of Linear Opera...
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The Rosenbrock function in 2D...
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The gamma function and its po...
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The white curves of Ortiz and...
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Time independent Black-Schole...
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Time-dependent integro-differ...
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Time-independent Schrödi...
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Transient Growth
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Wave equation with decay band
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Wikipedia ODE examples
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Wikipedia integro-differentia...
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Writing a message in 3D
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absTest
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ad_basic
Tests basic AD functionality:
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ad_basic2
This test checks that Automatic Differentiation is working.
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ad_qmdiff
Check if automatic differentiation of a quasimatrix with respect
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ad_systems
Checks whether AD works correctly for multiple variables
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ad_vs_diff_special
A test that compares derivatives obtained via AD to derivatives obtained
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ad_vs_diff_trig
A test that compares derivatives obtained via AD to derivatives obtained
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ad_vs_diff_trig_deg
A test that compares derivatives obtained via AD to derivatives obtained
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airy_extrema
Verifies that the extrema of the airy function on [-15,0] are found
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aliasing
Tests for aliasing: Check if the constructor accurately re-constructs the
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arithtest
Test some basic arithmetic operators, i.e. plus, minus, times,
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bary(x,gvals,xk,ek)
BARY Barycentric interpolation with arbitrary weights/nodes.
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bary_weights(xk)
W = BARY_WEIGHTS(XK)
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barymat(M,N,map,w)
BARYMAT Barycentric Interpolation Matrix
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barytest
Test the evaluation of a chebfun using barycentric interpolation.
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besseljextrema
Check if the extrema of the BesselJ function on [0,100] are recovered
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besseljroots
Checks if the roots of the BesselJ function on [0,100] are recovered
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blowup(on_off)
BLOWUP CHEBFUN blowup option
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blowup_exps
Build a series of chebfuns with different non-integer exponents and check
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blowup_scale
Tests scale invariance for functions with blowups (integer exponents
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blowup_splitting
Check if blowups and splitting play well together.
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booltest
Test boolean operators on chebfuns and quasimatrices.
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breakpoints
Check if splitting works, with or without breakpoints.
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bvp45ctest
This routine tests the chebfun wrappers for the BVP solvers
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callpref
Check if options passed to the constructor are handled correctly.
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cftest
Test CF approximation in various ways.
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chebbench(varargin)
CHEBBENCH Chebfun Benchmark
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chebdomain
Tests the chebfun constructor using the domain class.
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chebfunpref(varargin)
CHEBFUNPREF Settings for Chebfun.
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chebfunpreftest
Tests the chebfunpref options by getting and setting them
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chebguiedit(varargin)
CHEBGUIEDIT MATLAB code for chebguiedit.fig
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chebguiwindow(varargin)
CHEBGUIWINDOW Driver file for Chebfun's CHEBGUI
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cheblogo
Chebfun logo.
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chebop_bc
Solve two simple linear BVPs, check the solution vs. the exact
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chebop_bc2
Test nonseperable boundary conditions and other supplementary conditions
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chebop_cumsum
Check if the indefinite integral chebop works.
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chebop_diff
Checks if the differentiation chebop is equivalent to differentiating
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chebop_different_syntaxes
Checks whether different allowed syntaxes for chebops work
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chebop_eigs
Test the chebop eigs method.
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chebop_ellipjode
Test to check that the chebfun command for
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chebop_expm
Test the chebop expm method.
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chebop_feval
Test various combinations of inputs to chebop/feval.
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chebop_fitbcs
Create chebops, convert them to linops, and obtain chebfuns which satisfy
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chebop_gmrestest
Test the Chebfun implementation of GMRES for solving Lu = f,
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chebop_intops
Test integral operators
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chebop_ivp
This tests solves a linear IVP using chebop and checks
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chebop_linop
Test the chebop linop method.
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chebop_polyeigs
Test the chebop polyeigs method.
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chebop_pwintops
This test checks the construction of the piecewise fred and volt
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chebop_pwlinear
This test constructs a piecewise-linear chebop and checks
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chebop_scalingtest
This tests solves a nonlinear pendulum BVP with
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chebop_simplify
This test has a purpose: to make sure that the
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chebop_svds
Test the chebop svds method.
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chebop_systemeig
Eigenvalue test, inspired by Maxwell's equation.
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chebop_systemexpm
Exponential test, inspired by Maxwell's equation
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chebop_systemsolve1
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chebop_systemsolve2
Test solution of a 2x2 system
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chebop_v4tests
Test a few things concerning the version 4 chebops (i.e.
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chebop_vs_linop
Chebtest CHEBOP_VS_LINOP
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cheboppref(varargin)
CHEBOPPREF Settings for chebops.
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chebpadetest
Test the chebpade function against some examples.
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chebpoly(n,d,kind)
CHEBPOLY Chebyshev polynomial of degree n.
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chebpolytest
Tests chebpoly with integer and chebfun arguments.
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chebpolyval(c,kind)
CHEBPOLYVAL maps Chebyshev coefficients to values at Chebyshev points
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chebpts(n,d,kind)
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chebsnake(nodes,alpha)
CHEBSNAKE Chebfun snake game.
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chebtest(dirname)
CHEBTEST Probe Chebfun against standard test files.
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circplate
Use a linear chebop to compute the deflection of a circular plate.
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complexrotation
This code makes sure a few things are ok if you make them complex,
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composetest
Test composition of chebfuns with chebfuns and chebfuns
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convTest
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convspline
Generates piecewise polynomial cardinal B-splines by a process
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ctortest
Test the chebfun constructor for vectorized and non-vectorized
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cumsum_fracexps
Tests CUMSUM for Chebfuns with fractional exponents. This situation
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cumsum_infint
Check CUMSUM on for functions which diverge over an infnite
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cumsum_oscillate
Compute the indefinite integral of an oscillatory function
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cumsummat(N)
CUMSUMMAT Chebyshev integration matrix.
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cumsumunbnd
Test CUMSUM for chebfuns that have negative, and possibly
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diff_matrices
Test the construction of differentiation matrices
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diffexp
Tests the computation of derivatives using DIFF
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diffinf
Tests the computation of derivatives using DIFF when the
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diffmat(N,k)
DIFFMAT Chebyshev differentiation matrix
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difforder
Check to see whether difforder of systems are computed correctly.
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diffsingmaps
Tests the computation of derivatives using DIFF when the
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diffsingmaps
Tests the computation of derivatives using DIFF when the
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elementary
Check that computations of elementary functions
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ellipjtest
Test the accuracy of the Chebfun overload of the
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evalcomplex
Check that a chebfun evaluates correctly for complex arguments.
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exact_endpoints
Test whether endpoints are interpolated (exactly):
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exps_ctor
Tests construction with exps
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exps_cumsum
Tests cumsum with exponents
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exps_diff
Tests diff with exponents
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exps_sum
Tests SUM for Chebfuns with exponents
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extracting_roots
Test extracting roots with and without maps
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falknerskan
Solves the Falkner-Skan equation and checks the result.
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findexps_test
Tests automatic exponent computation for functions
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fov(A)
FOV Field of values (numerical range) of matrix A
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fovtest
Tests the FOV (field of values) function.
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fraccalctest
Perform some tests for fractional derivatives
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funscale
Check that fun scales have been correctly updated after
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fzerotest
Tests the fzero wrapper.
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grammatrix
Construct the Gram matrix with chebfuns and
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guide2tests
Perform various tests from chapter 2 of the Chebfun Guide.
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hermpoly(n,type)
HERMPOLY Hermite polynomial of degree n.
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hermpts(n,varargin)
HERMPTS Hermite points and Gauss-Hermite Quadrature Weights.
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infimps
Check that imps are properly set in computations involving exps
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interp1test
Check that the Chebfun-overloaded INTERP1
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inverseq
This test checks roots and the vectorise preference
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invtest
This test constructs two chebfuns and uses inv to invert them. It checks
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isequaltest
Check if chebfun/isequal works by comparing a chebfun with itself
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ivp_test
This test solves the Van der Pol ODEs in Chebfun with ode113. It checks
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ivp_testcomplex
Nick Trefethen March 2009
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ivp_ty_test
This test solves the Van der Pol ODE in
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jacpoly(N,a,b,d,flag)
JACPOLY Jacobi polynomials.
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jacpts(n,alpha,beta,varargin)
JACPTS Gauss-Jacobi Abscissae and Quadrature Weights.
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jacptstest
This test computes Legrendre points with Gauss quadrature weights. It
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lagpoly(n)
LAGPOLY Laguerre polynomial of degree n.
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lagpts(n,int,meth)
LAGPTS Laguerre points and Gauss-Laguerre Quadrature Weights.
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lebesgue(x,varargin)
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lebesguetest
This tests computes the Lebesgue function and Lebesgue constant
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legpoly(n,d,normalize,method)
LEGPOLY Legendre polynomials.
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legpts(n,int,meth)
LEGPTS Legendre points and Gauss Quadrature Weights.
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legptstest
This tests checks legpts and the accuracy of the method GW and FAST
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lexerParserTest
This test ensures that the chebgui string parser is doing the correct
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linop_bcchange
Check if changing the boundary conditions of a chebop that has already
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linop_diag
Check if multiplication with a pointwise multiplication operator
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linop_eye
Checks the 10 by 10 realization of the identity operator.
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linop_feval_lr
Check that left/right evaluation with linops behaves as expected.
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linop_functionals
Tests the construction and applciation of the Chebfun/Chebop
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linop_operarith
This test checks basic arithmetric operations of linops
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linop_systemapply
Test 2x2 systems applied to functions.
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linopzerotest
Checks whether iszero information for linear chebops is being passed and
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mapends_nan_inf
Tests for rounding errors on mapped endpoints and NaN and inf error
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mappref(varargin)
MAPPREF fun map preferences
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mappreftest
Tests the mappref options by getting and setting them
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maps(varargin)
CHEBFUN MAPS
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mathieu
This test computes periodic Mathieu functions and eigenvalues for the
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matrixnorms
This test constructs a matrix with chebfuns as columns and computes
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max_and_imps
Tests if max introduces small jumps when computing the maximum
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max_min
Tests max and min of functions.
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max_min_unbnd
Tests max and min of unbounded functions.
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maxdegree
Tests if the maxdegree is working in resampling on and off modes.
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maxdoubleroots
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maxtest
This test checks max when the difference between the functions
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mfun_integrate
This test computes the integrals of blow-up functions
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minsamples_adapt
Test for minsaples in adaptive mode on an infinite domain (unbounded maps)
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misclnttests1
This tests the chebfun constructor with different syntax, sum and norm.
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nanavoidance
This test check that NaNs are avoided on point evaluations
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normtests
This test checks that norm of a chebfun is working correctly
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orrsommerfeld
Orr-Sommerfeld eigenvalues for plane Poiseuille flow (just barely
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orthosincos
This test constructs a system of chebfuns and checks they have been
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outerprod
This test checks that the outer product of a system of chebfuns is
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paramODE
Test solving a parameter dependent ODE.
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pdeset(varargin)
PDESET Set options for pde15s
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plotrow
This test checks that row chebfuns can be plotted
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plusquasimatrix
This test checks that quasimatrices of different sizes cannot be added.
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pointevals
This test checks that point evaluations are working.
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pole_construct
Test to check if Chebfun operations on the basic chebfun 'x'
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polyfittest
This test checks that the polyfit commmandis working correctly.
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polytest
This test check that poly and ployval are working correctly.
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qrTest
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qrtest
Tests QR factorization of Chebfun quasimatrices.
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quadtest
Tests sum and quad over bounded domains.
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ratinterp( f , varargin )
RATINTERP computes a robust rational interpolation or approximation.
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ratinterptest
Check a few basics with ratinterp
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remeztest
The REMEZ command constructs infinity-norm
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resampletest
Test if the resampling option is working by counting the number of
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resampling(on_off)
RESAMPLING CHEBFUN resample option
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residuetest
Tests the Chebfun residue command.
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restrict_roots
Test restriction from one interval to another with { }.
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restrictimps
Test handling of the imps matrix by restrict
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restrictscl
This function tests the retrict function (problem related to a bug report
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rootsTest
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rootspol
Check behavior of roots of a perturbed polynomial
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scale
Tests for scale invariance.
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scaleinvariance
This code makes sure a few things are scale-invariant.
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scaleinvariance2
Modification of scaleinvariance.m
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schrodinger_sqwell
Tests eigs with piecewise constant coefficient, on a Schrodinger
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scribble.m
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scribbleTest
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scribbleio
Tests that scribble responds to the expected input and output
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scribbles
scribbles.m - uses "scribble" to test various things
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sing(str,bpm)
SING - A basic keyboard for MATLAB using chebfuns
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sinx
(by Rodrigo Platte)
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smallintervals
Tests of operations on small intervals
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splitting(on_off)
SPLITTING CHEBFUN splitting option
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splittingtest
A collection of tests for exact jump detection
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sqrt_test
Tests representations of the square root
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std_test
Check that std of a complex chebfun gives the correct real result.
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stringinput
Makes sure that the Chebfun constructor accepts
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subspacetest
test the subspace function (angle between subspaces). Also calls vander.m
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sumcos20x
Tests a couple of simple integrals, real and complex.
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suminftest
Test a few things involving sum applied to
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sumtest
Tests various integrals over unbounded domains.
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test_ratinterp ( )
Test the ratinterp function with different input types
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unbndpolys
Tests both the construction of Laguerre and Hermite polynomials on unbounded
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unboundednorms
Tests norm for unbounded domains and subtraction of chebfuns.
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vectornorms
Sets up a chebfun with two pieces and
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webexamples
Test the examples that are on the front page of the Chebfun website
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anon
ANON constructor for the anon class, which is used to work with AD
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chebconst
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chebfun
CHEBFUN Constructor for chebfuns.
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chebgui
INTRODUCTION TO CHEBGUI
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fun
FUN Class definition for funs
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oparray
OPARRAY Array of function handles.
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varmat
VARMAT Variable-sized matrix object constructor.
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{?double}) chebop
CHEBOP Construct an operator on chebfuns.
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{?double}) domain
DOMAIN Domain object constructor.
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{?double}) linop
function A = linop(varargin)
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ATAPformats.m
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Contents.m
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ExampleTemplate.m
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LevinIntegrate.m
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guidedefaults.m
-
View all files
from
Chebfun
by Chebfun Team
Numerical computation with functions instead of numbers.
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/chebfun/@anon/anon.m
/chebfun/@anon/anon2str.m
/chebfun/@anon/char.m
/chebfun/@anon/display.m
/chebfun/@anon/feval.m
/chebfun/@anon/func2str.m
/chebfun/@anon/get.m
/chebfun/@anon/getdepth.m
/chebfun/@anon/isempty.m
/chebfun/@anon/plot.m
/chebfun/@anon/subsref.m
/chebfun/@chebconst/chebconst.m
/chebfun/@chebfun/abs.m
/chebfun/@chebfun/acos.m
/chebfun/@chebfun/acosd.m
/chebfun/@chebfun/acosh.m
/chebfun/@chebfun/acot.m
/chebfun/@chebfun/acotd.m
/chebfun/@chebfun/acoth.m
/chebfun/@chebfun/acsc.m
/chebfun/@chebfun/acscd.m
/chebfun/@chebfun/acsch.m
/chebfun/@chebfun/airy.m
/chebfun/@chebfun/all.m
/chebfun/@chebfun/and.m
/chebfun/@chebfun/angle.m
/chebfun/@chebfun/any.m
/chebfun/@chebfun/area.m
/chebfun/@chebfun/asec.m
/chebfun/@chebfun/asecd.m
/chebfun/@chebfun/asech.m
/chebfun/@chebfun/asin.m
/chebfun/@chebfun/asind.m
/chebfun/@chebfun/asinh.m
/chebfun/@chebfun/atan.m
/chebfun/@chebfun/atan2.m
/chebfun/@chebfun/atand.m
/chebfun/@chebfun/atanh.m
/chebfun/@chebfun/besselj.m
/chebfun/@chebfun/bvp4c.m
/chebfun/@chebfun/bvp5c.m
/chebfun/@chebfun/bvpsc.m
/chebfun/@chebfun/cat.m
/chebfun/@chebfun/ceil.m
/chebfun/@chebfun/cf.m
/chebfun/@chebfun/chebellipseplot.m
/chebfun/@chebfun/chebfun.m
/chebfun/@chebfun/chebpade.m
/chebfun/@chebfun/chebpoly.m
/chebfun/@chebfun/chebpolyplot.m
/chebfun/@chebfun/chebtune.m
/chebfun/@chebfun/comet.m
/chebfun/@chebfun/comet3.m
/chebfun/@chebfun/complex.m
/chebfun/@chebfun/compress.m
/chebfun/@chebfun/cond.m
/chebfun/@chebfun/conj.m
/chebfun/@chebfun/conv.m
/chebfun/@chebfun/cos.m
/chebfun/@chebfun/cosd.m
/chebfun/@chebfun/cosh.m
/chebfun/@chebfun/cot.m
/chebfun/@chebfun/cotd.m
/chebfun/@chebfun/coth.m
/chebfun/@chebfun/cov.m
/chebfun/@chebfun/csc.m
/chebfun/@chebfun/cscd.m
/chebfun/@chebfun/csch.m
/chebfun/@chebfun/ctranspose.m
/chebfun/@chebfun/cumprod.m
/chebfun/@chebfun/cumsum.m
/chebfun/@chebfun/define.m
/chebfun/@chebfun/diag.m
/chebfun/@chebfun/diff.m
/chebfun/@chebfun/dirac.m
/chebfun/@chebfun/display.m
/chebfun/@chebfun/domain.m
/chebfun/@chebfun/ellipj.m
/chebfun/@chebfun/end.m
/chebfun/@chebfun/eq.m
/chebfun/@chebfun/erf.m
/chebfun/@chebfun/erfc.m
/chebfun/@chebfun/erfcinv.m
/chebfun/@chebfun/erfcx.m
/chebfun/@chebfun/erfinv.m
/chebfun/@chebfun/exp.m
/chebfun/@chebfun/expm1.m
/chebfun/@chebfun/feval.m
/chebfun/@chebfun/fill.m
/chebfun/@chebfun/find.m
/chebfun/@chebfun/fix.m
/chebfun/@chebfun/fliplr.m
/chebfun/@chebfun/flipud.m
/chebfun/@chebfun/floor.m
/chebfun/@chebfun/fred.m
/chebfun/@chebfun/fzero.m
/chebfun/@chebfun/ge.m
/chebfun/@chebfun/get.m
/chebfun/@chebfun/getdepth.m
/chebfun/@chebfun/gmres.m
/chebfun/@chebfun/gt.m
/chebfun/@chebfun/heaviside.m
/chebfun/@chebfun/horzcat.m
/chebfun/@chebfun/hypot.m
/chebfun/@chebfun/imag.m
/chebfun/@chebfun/integral.m
/chebfun/@chebfun/interp1.m
/chebfun/@chebfun/inv.m
/chebfun/@chebfun/inv2.m
/chebfun/@chebfun/isempty.m
/chebfun/@chebfun/isequal.m
/chebfun/@chebfun/isfinite.m
/chebfun/@chebfun/isinf.m
/chebfun/@chebfun/isnan.m
/chebfun/@chebfun/isreal.m
/chebfun/@chebfun/jacpoly.m
/chebfun/@chebfun/jacreset.m
/chebfun/@chebfun/jump.m
/chebfun/@chebfun/ldivide.m
/chebfun/@chebfun/le.m
/chebfun/@chebfun/legpoly.m
/chebfun/@chebfun/length.m
/chebfun/@chebfun/log.m
/chebfun/@chebfun/log10.m
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/chebfun/guide/html/helptoc.xml
/chebfun/guide/html/index.html
/chebfun/hermpoly.m
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/chebfun/info.xml
/chebfun/jacpoly.m
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/chebfun/lagpoly.m
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/chebfun/lebesgue.m
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/chebfun/pdeset.m
/chebfun/ratinterp.m
/chebfun/resampling.m
/chebfun/scribble.m
/chebfun/sing.m
/chebfun/splitting.m
/license.txt
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