All functions |
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Adams-Bashford-Moulton |
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Accumulate Vector Elements |
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Arithmetic-geometric Mean |
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Aitken' Method |
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Univariate Akima Interpolation |
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Logical AND, OR (Matlab Style) |
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Andrews' Curves |
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Basic Complex Functions |
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Adaptive Nelder-Mead Minimization |
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Arc Length of a Curve |
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Arnoldi Iteration |
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Barycentric Lagrange Interpolation |
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2-D Barycentric Lagrange Interpolation |
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Utility functions (Matlab style) |
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Bernoulli Numbers and Polynomials |
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Bernstein Polynomials |
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Rootfinding Through Bisection or Secant Rule |
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Binary Representation |
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String of Blank Carakters |
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Block Diagonal Matrix |
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Brent-Dekker Root Finding Algorithm |
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Brownian Motion |
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Broyden's Method |
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Elementwise Function Application (Matlab Style) |
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Boundary Value Problems |
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Coordinate Transformations |
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Directory Functions (Matlab style) |
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Integer Functions (Matlab Style) |
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Characteristic Polynomial |
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Chebyshev Approximation |
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Chebyshev Polynomials |
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Chebyshev Polynomials |
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Fitting a Circle |
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Clear function (Matlab style) |
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Clenshaw-Curtis Quadrature Formula |
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Generate Combinations |
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Companion Matrix |
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Complex Step Derivatives |
Matrix Condition |
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Polynomial Convolution |
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Newton-Cotes Formulas |
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Crank-Nicolson Method |
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Vector Cross Product |
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n-dimensional Vector Cross Product |
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Interpolating Cubic Spline |
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Parametric Curve Fit |
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Find Cutting Points |
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Double and Triple Integration |
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Deconvolution |
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Event Detection in ODE solution |
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Degrees to Radians |
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Remove Linear Trends |
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Evaluate ODE Solution |
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Matrix Diagonal |
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Distance Matrix |
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Scalar Product |
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Eigenvalue Function (Matlab Style) |
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Jacobi Eigenvalue Method |
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Einstein Functions |
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Elliptic and Jacobi Elliptic Integrals |
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Approximate and Sample Entropy |
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Floating Point Relative Accuracy |
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Error Functions and Inverses (Matlab Style) |
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Plot Error Bars |
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Dirichlet Eta Function |
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Euler-Heun ODE Solver |
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Exponential and Logarithmic Integral |
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Matrix Exponential |
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Some Basic Matrices |
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Contour, Surface, and Mesh Plotter |
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Easy Function Plot |
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Easy Polar Plot |
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Factorial Function |
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Prime Factors |
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Numerical Differentiation |
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Fibonacci Search |
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Control Plot Devices (Matlab Style) |
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find function (Matlab Style) |
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Find Interval Indices |
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Find All Minima |
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Find Peaks |
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Find All Roots |
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Fletcher-Powell Conjugate Gradient Minimization |
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Matrix Flipping (Matlab Style) |
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Finding Function Minimum |
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Minimize Nonlinear Constrained Multivariable Function. |
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Derivative-free Nonlinear Function Minimization |
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Minimize Unconstrained Multivariable Function |
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Function Norm |
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Fornberg's Finite Difference Approximation |
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Formatted Printing (Matlab style) |
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Fractal Curves |
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Fresnel Integrals |
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Solve System of Nonlinear Equations |
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Root Finding Algorithm |
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Complex Root Finding |
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Incomplete Gamma Function |
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Complex Gamma Function |
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Gauss-Hermite Quadrature Formula |
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Gauss-Laguerre Quadrature Formula |
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Gauss-Legendre Quadrature Formula |
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Gauss-Newton Function Minimization |
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Gauss-Kronrod Quadrature |
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GCD and LCM Integer Functions |
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Geometric Median |
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Givens Rotation |
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Generalized Minimal Residual Method |
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Golden Ratio Search |
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Numerical Gradient |
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Discrete Gradient (Matlab Style) |
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Gram-Schmidt |
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Hadamard Matrix |
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Halley's Root Finding Mathod |
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Hampel Filter |
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Hankel Matrix |
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Hausdorff Distance |
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Haversine Formula |
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Hessenberg Matrix |
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Hessian Matrix |
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Hessian utilities |
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Hilbert Matrix |
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Histogram Count (Matlab style) |
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Histogram Bin-width Optimization |
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Hooke-Jeeves Function Minimization Method |
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Horner's Rule |
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Householder Reflections |
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Matlab Test Functions |
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Hurst Exponent |
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More Hyperbolic Functions |
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Hypotenuse Function |
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Inverse Fast Fourier Transformation |
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Polygon Region |
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Adaptive Numerical Integration |
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Numerically Evaluate Double and Triple Integrals |
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One-dimensional Interpolation |
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Two-dimensional Data Interpolation |
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Matrix Inverse (Matlab Style) |
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Inverse Laplacian |
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isempty Property |
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Positive Definiteness |
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isprime Property |
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Iterative Methods |
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Jacobian Matrix |
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Interpolation by Kriging |
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Kronecker product (Matlab Style) |
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L1 Linear Regression |
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Laguerre's Method |
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Lambert's W Function |
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Laplacian Operator |
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Lebesgue Constant |
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Legendre Functions (Matlab Style) |
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Line integral (in the complex plane) |
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Linear Projection onto a Subspace |
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Linear Programming Solver |
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Linearly Spaced Sequences |
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Log-linearly Spaced Sequences |
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Linear Least-Squares Fitting |
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Linear Least-Squares Fitting with linear constraints |
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Nonlinear Least-Squares Fitting |
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LU Matrix Factorization |
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Magic Square |
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Matlab Compatibility |
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Geometric and Harmonic Mean (Matlab Style) |
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Generate a Mesh Grid |
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Multi-exponential Fitting |
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Bulirsch-Stoer Algorithm |
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Matlab backslash operator |
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Integer Division |
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Mode function (Matlab style) |
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Moler Matrix |
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Moving Average Filters |
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Muller's Method |
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Binomial Coefficients |
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Number of Dimensions |
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Nearest Symmetric Positive-definite Matrix |
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Nelder-Mead Function Minimization Method |
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Neville's Method |
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Newmark Method |
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Newton's Root Finding Method for Polynomials. |
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Lagrange and Newtons Interpolation |
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Rootfinding through Newton-Raphson or Secant. |
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Newton Method for Nonlinear Systems |
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Next Power of 2 |
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Nonzero Elements |
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Vector Norm |
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Estimated Matrix Norm |
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Real nth Root |
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Kernel or Nullspace |
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Richardson's Numerical Derivative |
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Number of Elements |
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Non-stiff (and stiff) ODE solvers |
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Orthogonal Distance Regression |
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Range Space |
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Pade Approximation |
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Pascal Triangle |
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Hermitean Interpolation Polynomials |
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Peaks Function (Matlab Style) |
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Generate Permutations |
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Piecewise Linear Function |
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Pseudoinverse or Generalized Inverse |
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Plotting Two y-Axes |
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Poisson Disk Sampling |
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Polar Coordinate Plot (Matlab Style) |
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Define Polynomial by Roots |
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Print Polynomial |
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Polynomial Approximation |
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Adding Polynomials |
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Area of a Polygon |
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Derivative of Polynomial |
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Fitting by Polynomial |
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Anti-derivative of Polynomial |
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Polylogarithm Function |
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Multiplying and Dividing Polynomials |
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Polynomial Powers |
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Polynomial Transformations |
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Evaluating a Polynomial |
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Base 2 Power |
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Piecewise Polynomial Structures |
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Piecewise Polynomial Fit |
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Practical Numerical Math Routines |
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Prime Numbers |
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Solving the Procrustes Problem |
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Psi (Polygamma) Function |
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Special Quadratic Programming Solver |
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LSE Solution |
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Adaptive Simpson Quadrature |
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2-d Gaussian Quadrature |
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Adaptive Clenshaw-Curtis Quadrature |
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Adaptive Gauss-Kronrod Quadrature |
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Gaussian Quadrature with Richardson Extrapolation |
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Infinite Integrals |
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Adaptive Lobatto Quadrature |
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Quadratic Programming |
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Vectorized Integration |
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Quiver or Velocity Plot |
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Create Random Matrices |
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Random Combination |
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Generate Random Orthonormal or Unitary Matrix |
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Random Permutation |
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Matrix Rank |
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Continuous Fractions (Matlab Style) |
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Rational Interpolation |
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Rational Function Approximation |
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Rectangle Intersection Areas |
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Find overlapping regular expression matches. |
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Match regular expression |
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Replace string using regular expression |
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Replicate Matrix |
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Reshape Matrix |
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Ridders' Root Finding Method |
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Classical Runge-Kutta |
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Runge-Kutta-Fehlberg |
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Accuracy Measures |
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Romberg Integration |
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Polynomial Roots |
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Rosser Matrix |
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Matrix Rotation |
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Reduced Row Echelon Form |
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Runge Function |
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Savitzky-Golay Smoothing |
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Segment Distance |
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Segment Intersection |
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Semi-logarithmic Plots (Matlab Style) |
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Shooting Method |
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Shubert-Piyavskii Method |
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Sine and Cosine Integral Functions |
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Sigmoid Function |
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Adaptive Simpson Quadrature |
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Simpson Integration |
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Double Simpson Integration |
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Trigonometric Functions in Degrees |
Size of Matrix |
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Soft (Inexact) Line Search |
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Sorting Routines |
Sort Rows of a Matrix (Matlab Style) |
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Monotone (Shape-Preserving) Interpolation |
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Matrix Square and p-th Roots |
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Format Distance Matrix (Matlab Style) |
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Standard Deviation (Matlab Style) |
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Standard Error |
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Steepest Descent Minimization |
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Stereographic Projection |
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Converting string to number (Matlab style) |
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String Concatenation |
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String Comparison |
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Find Substrings |
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Justify character vector |
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Find and replace substring |
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Remove leading and trailing white space. |
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Angle between two subspaces |
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Alternating Series Acceleration |
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Taylor Series Approximation |
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MATLAB timer functions |
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Titanium Test Data |
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Toeplitz Matrix |
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Matrix trace |
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Trapezoidal Integration |
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Triangular Matrices (Matlab Style) |
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Trigonometric Approximation |
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Trigonometric Polynomial |
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More Trigonometric Functions |
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Gaussian Triangle Quadrature |
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Tridiagonal Linear System Solver |
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Vandermonde matrix |
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Vector Field Plotting |
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Whittaker Smoothing |
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wilkinson Matrix |
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Riemann Zeta Function |
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