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Wikipedia:Requested articles/Mathematics

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Please follow the Wikipedia naming conventions of not capitalizing words in an article title except for the first letter and proper names. That is, write your request as This and such theorem instead of This And Such Theorem.

Contents

[edit] Abstract algebra

Lüroth's theorem (redirects to rational variety) - Over-ring - Precrossed module (redirects to crossed module which does not mention precrossed modules) - Predicative arithmetic - Primal ideal - Pseudo-finite field - Reduced norm (quaternion algebra) - Regular ideal - Riesz interpolation property - Ringfield (math structure in which div and mul are same operation, should have nice de Moivre complex exponential change in div mul phase?!) Saturated field - Serial subgroup - Shuffle product - Square class (element of F * / (F * )2 for some field F) - Skew-symmetric ring - TaylorDix theorem (isosceles triangles) - Theoretical Mathematical Radii (the theorizing of bases and dimensions of enumeration, started with Ringfield and 90 degree trig rotaton div to mul inversion. Never complete as countable representations in Z, also work on data compression and the limits of binary representation in a radix occupational field. Modulation structure for field radix slot creation) Total ring of fractions (currently redirect; don't forget to create a redirect full ring of fractions.)

[edit] Algebraic geometry

Abhyankar's inequality - Algebraic cobordism - Arithmetic algebraic geometry (redirect; need a standalone article) - Berkovich space - Bruhat order (redirects to Coxeter group which has only one sentence on Bruhat orders) - Cartier dual - Central quadric - Chow motive - Coxeter system (redicts to Coxeter group) - Conjugate hyperbola - Devissage - Dianalytic structure - Elliptic modulus - Equidimensional scheme - Étale homotopy group - Étale site - Grothendieck trace formula (see Kiehl/Weissauer, Freitag/Kiehl) - Hilbert-Blumenthal surface - Kodaira identity - Lefschetz principle (redirects to Algebraic geometry and analytic geometry which has one paragraph on the Lefschetz principle) - Levi extension theorem - Linear complex (see, e.g., [1]) - logarithmic geometry - Nagata's compactification theorem [2] - Ordinary singularity - Parshin chain - p-divisible group (p-divisible group in the sense of algebraic geometry!) - Plethystic algebra - relatively ample invertible sheaf - Rigid cohomology - Rigid geometry - Rosati involution - Semistable vector bundle - Simple algebraic group - Smooth morphism (own article) - Stein factorization (own article) - Superabundance - Supersingular abelian variety - Uncertain Geometry - Veronese embedding - Zariski-Nagata purity - Zernike moment - Isoperimetric quotient - optimal basis

[edit] Applied mathematics

[edit] See also

#Calculus of variations, #Convex analysis / Optimization, #Cryptography, #Game theory, #Numerical analysis, #Statistics, and Requested articles in finance.

[edit] Arithmetic geometry

Anabelian geometry - Anderson motive - Bloch-Kato conjecture on special values of L-functions - Criterion of Néron-Ogg-Shafarevich - Diamond operator - Dieudonné module - Drinfeld upper half plane - Eichler-Shimura relation - Faltings' product theorem - Fontaine-Mazur conjecture - Fundamental lemma (Langlands program) - Galois representation associated to a modular form - Generalized elliptic curve - Isocrystal - Katz-Lang finiteness theorem - Kodaira-Spencer isomorphism - Manin-Mumford conjecture - Modular elliptic curve (add the different equivalent formulations of "modular": analytic, geometric, arithmetic) - p-adic Hodge theory - Period domain - Section conjecture - Tate elliptic curve - Weil converse theorem - Zarhin trick -

[edit] Calculus of variations

Abstract comunitronics - Deformation theorem - Geometric theory of regression- Mumford–Shah functional

[edit] Category theory

[edit] Coding theory

Brand quotient - Coding lemma - Disguise operation - Football pool problem - Satisfiability coding lemma - Context modeling - Asymmetric numeral systems

[edit] Combinatorics

Combinatorial Nullstellensatz - Gowers norm - MacMahon master theorem - Oligomorphic group - Stern's diatomic series (sequence A002487 in OEIS), also called fusc() - combinatorial number theory - terminal series

[edit] Complex analysis

Boettcher coordinate - Formal Newton series - Gram polynomial - Hyperbolicity - Hyperbolic components - Neumann operator - Osgood's lemma - Paving lemma - Recursive filter (IIR) float accuracy problem - Szegő kernel - Theta operator - Theta series - Weil domain - (Louis) Brands Formula - Z plane as corresponding to Z transforms as used in control engineering -

[edit] Complexity theory

Crossing sequence - Dimensional shrinkage

[edit] Convex analysis / Optimization

Bundle method [3] The Bundle Method in Combinatorial Optimization] - Constrained conjugate gradient / Conjugate gradient with barriers (how does the barrier effects the conjugate gradient solution) - Error surface (see, e.g., [4]) - Grid search method - Hopscotch method - Monge-Kantorovich problem (currently a redirect)- Noisy optimization - Supporting functional - Waterfilling theorem - Roman Polyak - Nonlinear rescaling- Mean field annealing -

[edit] Cryptography

Comp128v2 - Extension attack - Keystore - Laszlo Kish - Multilinear modular hashing - Online/offline signature [5] - Patterson's algorithm - Range proof - Yao's XOR lemma - Pseudo random large bit sequence using XOR feedback - Spyros Magliveras

[edit] Differential equations

Backwards diffusion equation - Calderon's uniqueness theorem- Carleman estimates - Differential Gröbner basis - Extended linearity principle - Involutive system - Involutive form - Lewy operator [6] - Lie point symmetries- Majda's model - Microdifferential operator - Point symmetries - Similarity solution - Singular limit - Watson's lemma - Stehfest algorithm for inverse Laplace transform - Applications of conformal mapping-

[edit] Differential geometry and topology

Atiyah-Hitchin-Singer theorem - Birkhoff curve shortening process - Conjugate locus - Fedosov manifold - Gibbons-Hawking space - Grothendieck lemma - Last geometric statement of Jacobi - Lefschetz decomposition - Light cone quantization - Myers–Steenrod theorem - Natural bilinear concomitant - Nonlinear connection - Orientation bundle - Partial tangent functor - Polyvector field - Pseudofunction and partie finie (with redirects from Hadamard's partie finie, Hadamard's finite part) - Randers manifold - Ricci's lemma - Symmetric part of a tensor - Symplectic connection - Tight surface (see, for example, [7]) - Toponogov theorem - Tubular neighborhood theorem - Uncertain Geometry - Whitney forms - Bitensor - Synge's world function (for example, [8])

[edit] Dynamical systems

CARIMA model - Zeeman catastrophe machine (see, e.g., [9]) Dimension theory of dynamical systems - Aubry-Mather theory - KAM theory applications and generalizations of KAM theorem - Wiener's ergodic theorem (ergodic theorems for \mathbb{Z}^d actions; see [10])

[edit] Elementary arithmetic

no requests

[edit] Functional analysis

Abell function - Angelic space - Bartle-Dunford-Schwarz theorem - Bornology (currently a redirect) - Codistribution - Collectively compact linear operators Complete convergence - Convenient analysis - Extreme point disambig - Finite representability - Function algebra - Fundamental lemma of interpolation theory (see e.g. Cwikel et al., On the fundamental lemma of interpolation theory, J. Approx. Theory 60 (1990) 70-82) - Fundamental period - Fragmentability - Hermite-Gaussian - Namioka's theorem [11] - Nonlinear operator theory - O*-algebra - Operator space - Orlicz-Pettis theorem - Quasinuclear operator - Rademacher type - Raikov's theorem - Separation theorem (the present article is about one in economics; there might be several theorems called separation theorem.) - Spectral triple - Super-reflexive space (or superreflexive space) - Symbol filtered algebra - Symmetric operator (currently redirect) - Szegő inequality (approximation theory) - Total set [12] - Uniformly smooth Banach space -

[edit] Game theory

[edit] Geometry

Cevian nest - Circle plane - Coarse function - Crossbar theorem - Diametral circle - Diametral lens - Funk transform - Haruki's lemma - Killing-Hopf theorem - Longuerre's theorem - Lunes of Hippocrates - Moufang polygon - Noncommutative plane - Omnitruncated 120/600 cell - Operational mathematics - Opposites theorem (trigonometry) - Parallel projection (currently a redirect to another article that's a bit too advanced for the general reader) - Peritrochoid - Plane of rotation (generalizable to more dimensions than axis of rotation) - Plücker's conoid - Shadowing lemma - Shape grammar theory - Synge's theorem - Sphere-cylinder intersection - Sphere-sphere intersection (see Plane-sphere intersection) - Stochastic geometry - Theory of proportions - Triangle midsegment conjecture (see [13], should probably be a redirect) - Uncertain geometry (paper 2008 Simon Jackson commutative representation of Quantum Mechanics?) - Weak separation property (fractal geometry) - Zonal harmonic -

[edit] Graph theory

Berge's lemma - Bratteli diagram - Dark geometry - Dynamic segmentation - Elimination order - Ellentuck's theorem - Filled graph - Frerejaque number - Generalized net (extension to Petri net) - Graphoid - Horizontal constraint graph, Vertical constraint graph - Implicit and explicit domain and range - Intrinsically linked graph - Law of detachment - Linear referencing - Mass-distance relation - Midquad - Minimum broadcast graph - Overlap coefficient - Restriction scaffold problem - Surface class - Tree measure / Tree metric - Uniconnected subgraph - Welch-Powell algorithm - Longest circuit- Grinberg's theorem - Degree sequence information from deck of subgraphs of a reconstructible graph Section formula

[edit] Group theory

Automata group - Cliquet theory - 2-cocycle - Cogroup (currently a redirect) - Demushkin group - Floretion - Garside theory - Lattice-ordered group (also listed in Order theory) - Normalizer of Singer cycle - Poincaré group (in profinite group theory, see Serre Cohomologie Galoisienne) - Profinite topology (currently redirects to profinite group) - Recoupling theory - Reidemeister-Schreier rewriting process - Repeating group - Singer cycle - uniform pro-p-group - quasi-perfect group -

[edit] History of mathematics

Ancient Chinese finger counting -[14] gives the basic numbering -but how do you do multiplication, division etc? — Calculus reform — Etymology of mathematical notation — Rigorization of analysis, usually referred to in 19th century — Hungarian mathematics [15] — Deutsche Mathematik ("German mathematics"), Nazi-era movement and mathematical journal (de:Deutsche Mathematik)

[edit] Homological algebra

perfect complex

[edit] K theory

Bloch-Kato conjecture - Karoubi conjecture

[edit] Lie groups / Lie algebras

10-j symbol - 15-j symbol - Crystal graph [16] - Engel subalgebra - Kač determinant (currently a redirect, gets one sentence) - Klimyk's formula - Lazard isomorphism - McKay correspondence - Miniscule representation - p-adic Lie group (currently a redirect, gets half a sentence) - Primitive invariant - Quantum double - Racah-Wigner algebra - Racah's multiplicity formula - Satake diagram - Schur functor - Serre's theorem- SE(3) (Lie group of rigid body transformations) - Steinberg formula - SU(2) - SU(3) - SU(5) - Tangent Lie group Category O

[edit] Linear algebra

Anisotropic group [17] Componentwise inequality - Eigengap - Fast Givens rotation - Horn's conjecture (on Hermitian matrices proved by Tao) - Hotelling deflation - Leading 1 - Matrix lumping - Nazarova-Roiter algorithm - Nested dissection algorithm (also listed in Numerical analysis) - Test matrix - Kernel function [1] - Point matrix -

[edit] Mathematical analysis

Cauchy's estimate (currently redirected to Taylor's theorem) - Dyadic derivative - Exhaustion function (in the sense, for example, a Stein manifold admits an plurisubharmonic exhaustion function) - Friedrichs' lemma - Gauss transformation - Gevrey class - Infra-exponential type/function/growth, etc - Perfect differential - Percent recovery - Positive invariance - Spatial covariance - Ultradistribution [18] - Watson's lemma - Weyl calculus - Whittaker-Watson formula - Envelope of a function [19] - The Kalman Smoother

[edit] Mathematics education

C.L.E. Moore instructor - Guy Brousseau - Theory of didactical situations - Ubiratan D'Ambrósio - Jeremy Kilpatrick - ICMI Awards - Michèle Artigue - Didactic engineering - Raymond Duval

[edit] Mathematical logic

See also Wikipedia:Requested articles/Logic

[edit] Model theory, proof theory, and recursion theory

[edit] Set theory

Relations

[edit] Other and uncategorized requests


[edit] Mathematical physics

[edit] Mathematicians

(a redirect page using only the last name should also be created for each of these, if the last name is both famous and unambiguous. For example: Bourgain should redirect to Jean Bourgain and so on.)

Prior to creating an article, any biographical details can be added to: Wikipedia:WikiProject Mathematics/missing mathematicians.

A-G:

H-Z:

[edit] Unsorted

From the requested biographies page

[edit] Measure theory

Loeb measure


[edit] Number theory

Aurifeuillian factorization - Binary quadratic form (currently just redirects) - Combinatorial number theory - Star of David theorem Should also be referenced in Pascal's triangle -

[edit] Algebraic number theory

Abelian polynomial theorem - Artin-Verdier duality - Bayer-Neukirch theorem - Beilinson regulator - Borel regulator - B-math - Conductor (algebraic number theory) - Diophantine dimension - Elliptic unit - Explicit class field theory - Greenberg conjecture - Grunwald-Wang theorem - Hasse-Arf theorem - Hermite-Minkowski theorem - Higher local field - Higher ramification groups - Iwasawa algebra - Liardet's theorem - Infrastructure (number theory) - Leopoldt conjecture - Leopoldt's Spiegelungssatz (Leopoldt reflection theorem) - Main conjecture of Iwasawa theory - Maass form - Minkowski's convex body theorem - Neukirch-Uchida-Pop theorem - Noncommutative Iwasawa theory - p-adic L-function - p-adic modular form - Poitou-Tate duality - Rankin-Selberg L-function - Ray class field - Sen's theorem - Shafarevich conjecture (there are two conjectures) - Strange numbers - Tamagawa number conjecture - Tame ramification - Tate twist - Weil converse theorem - Notation of Division - Modular symbol

[edit] Analytic number theory

Bobak Hossainkhani - Brandt matrix - Brandt module - de Bruijn function - Mixed integer rounding

[edit] Category theory

[edit] Numerical analysis

Absorbing boundary condition (with redirect from absorbing boundary conditions and mentioning perfectly matched layer) - Akima spline (introduced by H. Akima, "A New Method of Interpolation and Smooth Curve Fitting Based on Local Procedures", Journal of the ACM, vol. 17, no. 4, pp589–602, 1970) - Box spline - Essentially non-oscillatory (ENO) - Faure sequence - H-stability - Kevin theory (a form of vector calculus used for physics calculations) - Lentz's algorithm (for the evaluation of continued fractions) - Model order reduction - Nested dissection algorithm (also listed in Linear algebra) - Non-uniform sampling - Orthomin(1) algorithm (for approximating Ax = b) - Total variation regularisation (linking from Total Variation and including algorithms for regularising discrete functions (data) using total variations) - Sobol sequence (currently a redirect but deserves an article) - Watson transformation - Zero stability (of linear multistep methods) - Gal's accurate tables -

[edit] Order theory

Adjoint functor theorem (order theory) - Continuous poset - East Gawley overlap algorithm - Greechie diagram - Ideal completion - Irreducible element (order theory) - Join-dense set - Kaucher arithmetic - Lattice-ordered group (also listed above in Group theory) - Lawson topology - Localic group - Mathematical relaxation (order theory) - Meet-dense set - Partially ordered monoid - Pointwise order - Powerdomain (order theory) - Prime element (order theory) - Von Neumann stability analysis

[edit] Probability theory

Bayesian mapping - Bhattacharyya bound - Bus theorem - Cameron–Martin development - causal Bayesian network - Constant parameters process - Continuous tree - Convergence in variation - Cramér–Lundberg approximation - Derived distribution - Doob's upcrossing inequality - Feinstein's fundamental lemma - Homogeneous process - Iterative proportional fitting - Laplace estimator - Luders rule - Marked point process - Martin boundary - Objective chance - Predictive distribution - Probabilistic potential theory (currently a redirect to an article that doesn't mention the topic) - Probability summation - Stein's two-sample procedure - Threshold function and their relation to combinatorics/graph theory, number theory, etc. - Verdu-Han lemma -

[edit] Real analysis

Bi-Pareto distribution - Hake's theorem (see Henstock-Kurzweil integral) - Half-exponential function - Inverse distribution function - Maharam theorem - Sierpinski-Erdos duality theorem -

[edit] Recreational mathematics

[edit] Representation theory (incl. harmonic analysis)

Satake isomorphism, Ind-sheaf

[edit] Statistics

See also Requested articles in Econometrics --

Ansari-Bradley test - Bayesian deviance - Beta prior -used in the Multi-Armed Bandit problem among many other things. Burstiness - Burg's method -used in Matlabs arburg() for estimating AR process coeffs. Clisy - Cochran's Q - Composite bar chart - Compound sampling - Conditional covariance - Davies-Bouldin index (cluster analysis) - Doornik and Hansen normality test - Duncan-Waller k-ratio t-test - Dunn–Sidak bound - Economic plausibility - Empirical likelihood - Extended spatial decorrelation - Estimated potential scale reduction - a check for convergence in MCMC Fast simulation - Fisher's protected LSD - Forensic statistics See the category:forensic statistics - Fractional error - Frequency table - Gap statistic - Gaussian smoothing - Graybill-Deal estimator - h-statistic - unbiased sample estimators of central moments Harmonic mean estimator - Hill estimator - Intrinsic accuracy - regarding a distribution, the expected value of its derivative, equal to the integral over its support of the square of the derivative over the pdf. Inference on Markov chains -Continuous and discrete time, fixed interval and fixed event sampling - JADE (ICA) (an Independent component analysis algorithm) - Jenks natural breaks - (numeric classification, useful for thematic maps) k-statistic - unbiased sample estimators of cumulants (see also h-statistics) kappa index of agreement - L-moment - Line plot - Lower tail dependence - Max-stable distribution - Morisita-Horn index - Newman-Keuls test - Noncentrality parameter - Nonparametric Bayesian method - Normal power family - pooled OLS - Probability-weighted moment - REDATAM [22] - Ryan Einot Gabriel Welsch method - S-estimator - Seasonal index (with redirect from Seasonal indices) - Separate families of hypotheses (and tests of) - Smallest singular value of the hessian - Skew elliptical distribution Slash distribution Stagewise regression - Standardized residuals - Standardized incidence ratio, Standardised incidence ratio - Statistical disclosure - Statistical linearisation - Structural change method (SCM model) - Superpopulation models - Symmetrical MAPE (SMAPE) - Systematic variation - Tukey B method - Upper tail dependence - von Mises statistic (a.k.a. V-statistic) - Wilson estimate

[edit] Topology

[edit] Algebraic topology

Artin-Mazur profinite completion - Cellular complex - E_infinity ring spectrum - Even periodic ring theory - Farrell-Jones conjecture - Free homotopy group - Gauss map of a vector bundle (see Husemoller, Fibre Bundles) - geography problem for 4-manifolds - Handle attachment - homotopy fibre - homotopy groups of simplicial sets - Hyperbolic simplicial complex - James construction - Karoubi conjecture - Landweber exact formal group law - Motive (topology) - path fibration - Secondary cohomology operation - Shape theory (mathematics) - slant product - Strong shape theory - Transgression (fiber bundle) - Warsaw circle - Witt space - Dendroidal set Intersection number-(Topological intersection number, not alg. geo.)

[edit] General topology

Affine fibration - Contiguity space - Double fibration - Gauss space - James construction - Locally countable space - Martin boundary - template theory -

[edit] Geometric topology

Gauge group (of a bundle) - Lambda lemma - Murasugi sum - Propeller twisting - Regular neighborhood - String topology - Thurston norm - KKM theory applications and generalizations of Knaster–Kuratowski–Mazurkiewicz lemma -

[edit] Knot theory

Chayes-McKellar-Winn theorem - Singular braid monoid

[edit] Set-theoretic topology

L-space (mathematics) - S-space

[edit] Special functions

Gram-Charlier polynomials

[edit] Uncategorized

Please try to classify these requests.

Arc of descent - Basis problem - Bloch's constant (named after André Bloch) - Boolean polynomial (redirects to Zhegalkin polynomial which does not mention it) - Bounding lemma - Compendo and dividendo - Constructive recursive mathematics - Classical result - Cousin's lemma - D-triangle number (redirect to Pascal's triangle?) Definition (mathematics) - Dobrushin's lemma - Dirichlet form (named after Johann Dirichlet) - Dynamic subtraction - Evolution of numbers - Fourier goniometry (related to Goniometric) - Graph (application) (equation plotter) - Hyperslab - Interior degree - Jeffries multiplier - Kadison–Singer problem - Klop's lemma - Lax algebra - Lax monad - Mathematical algorithms list and general contrasts to computer algorithms - Model management - Non-constructive logic - Object coloring - Prefactor (a non-universal quantity) - Polydromy - Polynomiograph, polynomiography - Radical expression - Relational homomorphism - Relational isomorphism - Robert's cross operator - Seven-point code - Simplest form - Simplistic algorithm - Stephinity- Strict positivity restriction - Uniform bounding lemma - Triangle of forces -

[edit] See also

[edit] Notes

  1. ^ a redirect to Positive definite kernel for the moment; relates to Fredholm kernel I suspect, and has applications to support vector machines and other kernel methods in statistical classification
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