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Orthogonal Polynomials

Introduction: Orthogonal polynomials; Classical orthogonal polynomials; Hermite polynomials; Laguerre polynomials; Jacobi polynomials; Gegenbauer polynomials; Chebyshev polynomials; Legendre polynomials; Wilson polynomials; Meixner–Pollaczek polynomials; Continuous Hahn polynomials; Continuous dual Hahn polynomials; Askey–Wilson polynomials; Discrete orthogonal polynomials; Racah polynomials; Hahn polynomials; Dual Hahn polynomials; Meixner polynomials; Kravchuk polynomials; Charlier polynomials; Sieved orthogonal polynomials; Sieved ultraspherical polynomials; Sieved Jacobi polynomials; Sieved Pollaczek polynomials; Orthogonal polynomials on the unit circle; Rogers–Szegő polynomials; Zernike polynomials; Favard's theorem; Christoffel–Darboux formula; Macdonald polynomials; Hall–Littlewood polynomials; Jack function; Heckman–Opdam polynomials; Koornwinder polynomials; Appell sequence; Askey scheme; Binomial type; Biorthogonal polynomial; Generalized Fourier series; Secondary measure; Sheffer sequence; Umbral calculus; Bernstein polynomial; De Casteljau's algorithm; Stone–Weierstrass theorem; Bézier curve; Polynomial interpolation; Newton polynomial; Lagrange polynomial; Polynomial; Ring of polynomial functions; Trigonometric polynomial; Fourier series; Trigonometric interpolation; Discrete Fourier transform; Laurent polynomial; Rational function; Formal power series; Power rule; Power series
Moments: Moment (mathematics); Factorial moment; Generalized mean; Hamburger moment problem; Hausdorff moment problem; Image moment; L-moment; Method of moments (probability theory); Method of moments (statistics); Moment-generating function; Moment measure; Second moment method; Standardized moment; Stieltjes moment problem; Taylor expansions for the moments of functions of random variables
Transform: Fourier transform; DFT matrix; Discrete-time Fourier transform; Fast Fourier transform; Fourier integral operator; Fourier inversion theorem; Multiplier (Fourier analysis); Beevers–Lipson strip; Analog signal processing; Sine and cosine transforms; Fourier–Deligne transform; Fourier–Mukai transform; Fractional Fourier transform; Indirect Fourier transform; Integral transform; Hankel transform; Hartley transform; Laplace transform; Linear canonical transformation; Mellin transform; Multidimensional transform; NGC 4622; Short-time Fourier transform; Space-time Fourier transform; Spectral density; Spectral density estimation; Symbolic integration; Time stretch dispersive Fourier transform; Transformation (function); Coordinate system; Data transformation (statistics); Infinitesimal transformation; Linear map; Transformation geometry; Group action; Transformation matrix; Two-sided Laplace transform; Weierstrass transform; Abel transform; Hilbert transform; Poisson kernel; Dirac delta function; List of transforms; Bateman transform; Hilbert–Schmidt integral operator; Inverse Laplace transform; Mellin inversion theorem; Laplace–Carson transform; Laplace–Stieltjes transform; Nörlund–Rice integral; N-transform; Radon transform; Stieltjes transformation; Wavelet transform; Binomial transform; Modified discrete cosine transform; Discrete Hartley transform; Discrete sine transform; Discrete wavelet transform; Fast wavelet transform; Hankel matrix; Irrational base discrete weighted transform; Discrete Fourier transform (general); Stirling transform; Z-transform; Principal component analysis; Bäcklund transform; Bilinear transform; Box–Muller transform; Burrows–Wheeler transform; Chirplet transform; Distance transform; Fractal transform; Hadamard transform; Hough transform; Inverse scattering transform; Legendre transformation; Möbius inversion formula; 3D projection; Sequential euclidean distance transforms; Y-Δ transform; Generalised Hough transform; Randomized Hough transform
transformation: Affine transformation; Semilinear transformation; Coin rotation paradox; Glide reflection; Helmert transformation; Homography; Homothetic transformation; Horizontal translation; Householder transformation; Reflection (mathematics); Motion (geometry); Locally finite operator; Rotation matrix; Scaling (geometry); Shear mapping; Translation (geometry); Vector projection
Measure: Measure (mathematics); Hausdorff measure; Geometric measure theory; Fuzzy measure theory; Inner measure; Lebesgue integration; Lebesgue measure; Product measure; Pushforward measure; Vector measure; Volume form; Measurable cardinal; Hausdorff dimension; Outer measure
Entropy: Entropy; Entropy (information theory); Conditional entropy; Cross entropy; Entropy (arrow of time); Entropy encoding; Entropy estimation; Entropy power inequality; Entropy rate; Fisher information; Joint entropy; Negentropy; History of entropy; Information geometry; Qualitative variation; Quantum relative entropy; Rényi entropy; Perplexity
Distance: Mutual information; Hamming distance; Measure-preserving dynamical system; Levenshtein distance; Diversity index; Theil index; Typoglycemia; Chebyshev distance; Closest string; Damerau–Levenshtein distance; Euclidean distance; Hausdorff distance; Mahalanobis distance; Jaccard index; String metric; Sørensen–Dice coefficient; Word ladder; Approximate string matching; String searching algorithm; Metric (mathematics); Similarity measure; Cosine similarity
Bag-of-words: Bag-of-words model; Bag-of-words model in computer vision; Semantic similarity; Affinity propagation; Part-based models; Vector space model
Geodesic Distance: Distance (graph theory); Distance matrix; Quantum graph
Markov: Markov random field; Principle of maximum entropy; Markov chain; Hopfield network; Graphical model; Markov logic network; Hammersley–Clifford theorem; Interacting particle system; Stochastic cellular automaton; Log-linear analysis; Hidden Markov random field; Hidden Markov model; Bayesian network; Factor graph; Ising model; Markov blanket; Probabilistic soft logic
GrabCut: GrabCut; Graph cuts in computer vision; Cut (graph theory); Conditional random field; Mixture model; RANSAC; Iterative closest point
Image Segmentation: Watershed (image processing); Image segmentation; Image-based meshing; Range segmentation; Vector quantization; Quantization (image processing); Color quantization; Thresholding (image processing); Balanced histogram thresholding; Otsu's method; K-means clustering; Fast marching method; Level set (data structures); Minimum spanning tree-based segmentation; Segmentation-based object categorization; Iterated conditional modes; Expectation–maximization algorithm; Taxicab geometry