Wikipedia:Requested articles/Mathematics

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Contents

[edit] Abstract algebra

Affine quantum group - Asymmetric range/Symmetric range - Basic perturbation lemma - Central factor - Cosocle - Dedimensionalisation - Descendant subgroup - Eigenvariety (needs to be defined and explained in brief detail) - Hyper-finite field - Precrossed module (perhaps redirect to an expanded Crossed module?) - Predicative arithmetic - Pseudo-finite field - Serial subgroup -

[edit] Actuarial mathematics

See also Requested articles in finance.

Exponential dispersion model - Computation of actuarial reserves -

[edit] Algebraic geometry

Arakelov geometry (see also the Arakelov theory red link at Glossary of arithmetic and Diophantine geometry) - Crystalline cohomology - Dianalytic structure - Elliptic modulus - Flat cohomology - Klein surface - Linear complex (see, e.g., [1]) - p-adic Hodge theory - Secant-secant theorem - Shimura variety - Zernike moment

[edit] Calculus of variations

Deformation theorem - Ekeland's variational principle - Abstract comunitronics - Geometric theory of regression - Oskar Bolza -

[edit] Category theory

Accessible category - Atomic topos - Coquasitriangular Hopf algebra - Effective topos - Enriched limit (mathematics) - Monadic length - Ribbon category - Rigid monoidal category - Semi-abelian category (with redirect from Semiabelian category) -

[edit] Coding theory

Check matrix - Coding lemma - Disguise operation - Parity code - Satisfiability coding lemma -

[edit] Combinatorics

Macdonald polynomials (with redirect from Macdonald polynomial) - MacMahon master theorem - Polyhedral combinatorics - Oligomorphic group

[edit] Complex analysis

Gram polynomial - Hyperbolicity - Mittag-Leffler star - Shilov boundary -

[edit] Complexity theory

Crossing sequence - Dimensional shrinkage - Homeokinetics - Pollaczek-Khintchine formula branching programs

[edit] Convex analysis / Optimization

Constrained conjugate gradient / Conjugate gradient with barriers (how does the barrier effects the conjugate gradient solution) - Difference map algorithm - Error surface (see, e.g., [2]) - Grid search method - Hopscotch method - Bland's rule - Noisy optimization - Supporting functional - Waterfilling theorem - Bundle method [3] The Bundle Method in Combinatorial Optimization] - Princess and Monster game -

[edit] Cryptography

Ari David Levie - Comp128v2 - Cryptographic Quarterly - Forking lemma - KEA [4] - Keystore - Multilinear modular hashing - Lattice sieving - Online/offline signature [5] - Decision linear assumption - Yao's XOR lemma - Perfect forward security -

[edit] Decision theory

Choquet integral

[edit] Differential equations

Backwards diffusion equation - Bellman-Gronwall inequality (a generalization of Gronwall's inequality) - Extended linearity principle - Majda's model - Nahm equations (Nahm equation) - Nonstandard finite difference scheme (Nonstandard finite difference schemes) - Orr-Sommerfeld equation - Similarity solution - Singular limit - Spheroidal wave function -

[edit] Differential geometry and topology

Ambrose-Singer holonomy theorem - Atiyah-Hitchin-Singer theorem - Gibbons-Hawking space - Grothendieck lemma - Light cone quantization - Natural bilinear concomitant - 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 - Seiberg-Witten invariants - Symmetric part of a tensor - Symplectic connection - Tight surface (see, for example, [6]) -

[edit] Dynamical systems

Paterson's worm (see [7]) - Zeeman catastrophe machine (see, e.g., [8]) -

[edit] Elementary arithmetic

[edit] Functional analysis

Bornology - Codistribution - Coercive operator - Convenient analysis - 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) - Garding domain - Hermite-Gaussian - Nonlinear operator theory - Operator space - Spectral triple - Fundamental period - Symbol filtered algebra - Logarithmic norm- Function algebra

[edit] Game theory

Nontransitive game - Penney's game - Search game -

[edit] Geometry

Birotunda - Casey's theorem - Diametral circle - Diametral lens - Haruki's lemma - Helmert transformation - Johnson-Lindenstrauss lemma - Killing-Hopf theorem - Longuerre's theorem - Noncommutative plane - Omnitruncated 120/600 cell - Operational mathematics - Plane of rotation (generalizable to more dimensions than axis of rotation) - Plücker's conoid - Pythagorean solid - Semi-principal axis - Shadowing lemma - Shape grammar theory - Sphere-cylinder intersection - Sphere-sphere intersection (see Plane–sphere intersection) - Steiner's porism - Triangle midsegment conjecture (see [9], should probably be a redirect) - Ultralimit - Unduloid - Waterman polyhedron - Weak separation property (fractal geometry) - Zonal harmonic -

[edit] Graph theory

Berge's lemma - Dark geometry - Dynamic segmentation - Elimination order - Ellentuck's theorem Filled graph - Frerejaque number - Generalized net (extension to Petri net) - Horizontal constraint graph, Vertical constraint graph - Impossible puzzle - Intrinsically linked graph - law of detachment - Linear referencing - Midquad - Optimal bitonic tour - Points and lines - Restriction scaffold problem - Surface class - Tree metric - Uniconnected subgraph - Welch-Powell algorithm - Implicit and explicit domain and range

[edit] Group theory

Chief series - Cogroup - Floretion - Lattice-ordered group (also listed in Order theory) - Recoupling theory - Rédei's theorem - Reidemeister-Schreier rewriting process - Singer cycle - Normalizer of Singer cycle- Cliquet theory - repeating group - automata group - Baumslag-Solitar group

[edit] History of mathematics

Etymology of mathematical notation - Rigorization of analysis, usually referred to in 19th century - Numerical Mathematics Consortium - Ancient chinese finger counting - [10] gives the basic numbering - but how do you do multiplication, division etc? -

[edit] Lie groups / Lie algebras

10-j symbol - 15-j symbol - Kač determinant - Klimyk's formula - Primitive invariant - Quantum double - Racah-Wigner algebra - Racah's multiplicity formula - Reductive Lie algebra (currently redirects to Lie algebra which does not mention the reductive case; see the Talk page at Reductive group) - Satake diagram - Steinberg formula - SU(2) - SU(3) - SU(5) - Tangent Lie group SE(3) - Lie group of rigid body transformations McKay correspondence Crystal graph [11]

[edit] Linear algebra

Componentwise inequality - Eigengap - Invariant factor - Khatri-Rao product - Matrix lumping - Nested dissection algorithm (also listed in Numerical analysis) - Tracy-Singh product - Test matrix - Montante's method (See article in Spanish) - Fast Givens rotation - Dantzig-Wolfe decomposition (linear programming)

[edit] Logic

[edit] Proof theory

Epsilon calculus - Harrop formula - Minimal Herbrand model - Peano-Russell notation - Realizability -

[edit] Model theory

Amalgamation property - Forking (model theory) - Homogeneous model - Stable theory - Tennenbaum's theorem - Vaught conjecture - Modal algebra -

[edit] Recursion theory

Hyperarithmetical reducibility - Ordinal logic - PA degree

[edit] Set theory

A: Adequate pointclass - Amenable set - Axiom of hyper-determinacy - Axiom of quasi-determinacy - Anscombe's quartet - C: C-measurable set - Cardinal invariant - Core model program - E: Extended set theory (D L Childs et al.) - Effective Polish space - G: Grothendieck's axiom I: Infinitary combinatorics - Inner model program - J: Jensen hierarchy - L: Leftmost branch (of a tree) - M: Mitchell order - Modified Wadge hierarchy - Moschovakis' coding lemma - P: Paris model - Q: Quasi strategy (for a game) - R: Ramified forcing - S: Scale property - Strong partition cardinal - U: Unfolded Banach-Mazur game - Universally Baire set - V: V=OD - W: Wadge game - Weakly homogeneously Suslin set - Y: Yannakakis' algorithm

[edit] Requested logic articles

E-connection Generative set - Logic alphabet - Matrix logic - Multi-attribute utility theory - Multicriteria decision analysis - Outranking analysis - Pragmatic fallacy - Reductive reasoning - Self-reference puzzle - Simple multi-attribute rating technique - Sortal - Transaction logic -

[edit] Mathematical analysis

Eikonal approximation (in WKB theory) - Remez inequality - Maximum entropy spectral analysis (MESA) - Perfect differential - Percent recovery - Steffensen's method - Spatial covariance - Positive invariance - Whittaker-Watson formula fallacious induction

[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.)

A:

  • Achemmel, Gottfried

B:

  • Bezrukavnikov, Roman
  • Bickel, Peter
  • Bol, Gerrit
  • Braverman, Alexander
  • Brenier, Yann
  • Bruck, Richard Hubert

C:

D:

  • Donoho, David

E:

  • Ehrenfeucht, Andrzej

F:

  • Faddeev, Dmitrii Konstantinovich
  • Fikhtengol'ts, Gregory M.
  • Filippov, Aleksei Fedorovich
  • Flach, Matthias
  • Franel, J. (France, 19th century-20th century)
  • Frenkel, Edward
  • Friedman, Sy
  • Fuks, Dmitry (Fuchs)

G:

  • Grabowski, Janusz
  • Gratzer, George
  • Goundar Rajaram

H:

  • Hildebrand, Francis B. ( 1915? - 29 Nov 2002)
  • Hildebrandt, Theophil Henry (T. H.)
  • Hofmann, Steven (or Steven Hoffman?)

J:

  • Jarvis, Frazer

K:

L:

  • Longyear, Judith Q.
  • Lansey, Jonathan
  • Legnani, Tom

M:

N:

  • Norden, Aleksandr Petrovich
  • Natanson, Isidor Pavlovich

P:

  • Pimenov, Revolt Ivanovich
  • Prabhakar, Tilak Raj
  • Preiss, David

R:

  • Rickert, John

S:

  • Schlesinger Ludwig (see de:Ludwig Schlesinger)
  • Sendova, Eugenia
  • Shult, Ernest
  • Stein, Sherman K.
  • Syski, Ryzard (or Ryszard Syski)

V:

  • Van Loan, Charles
  • Villareal, Federico

W:

  • Wright, Margaret H.

Y:

  • Yatsenko, Yuri

Z:

  • Zahorski, Zygmunt
  • Zhai, Alex

[edit] Number theory

[edit] Algebraic number theory

B-math - Liardet's theorem - Infrastructure (number theory) - Siegel's lemma -

[edit] Analytic number theory

Bobak Hossainkhani - Brandt matrix - Brandt module - Fundamental lemma of sieve theory - Markov spectrum - Vaughan's lemma -


[edit] Numerical analysis

Absorbing boundary condition (with redirect from absorbing boundary conditions and mentioning perfectly matched layer) -- Bramble-Hilbert lemma - Céa's lemma - Faure sequence - Lentz's algorithm (for the evaluation of continued fractions) - Model order reduction - Nested dissection algorithm (also listed in Linear algebra) - Sobol sequence (yes, I know it's blue; currently a redirect but deserves an article) - Zeta multi-evaluation algorithm (by Odlyzko and Schönhage) -- Orthomin(1) algorithm (for approximating Ax=b)

[edit] Order theory

Algebraic poset - Continuous poset - East Gawley overlap algorithm - Ideal completion - Irreducible element (order theory) - Join-dense set - Kaucher arithmetic - Lattice-ordered group (also listed above in Group theory) - Lawson topology - Localic group - Meet-dense set - Partially ordered monoid - Pointwise order - Powerdomain - Prime element (order theory) - Scott information system - Way-below relation (sometimes called 'way inside') - Mathematical relaxation - Von Neumann stability analysis -

[edit] Population genetics

Nucleotide polymorphism -

[edit] Potential theory

[edit] Probability theory

Bayesian mapping - Campbell's theorem - Continuous tree - Derived distribution - Feinstein's fundamental lemma - Iterative proportional fitting - Laplace estimator - Luders rule - Marked point process - Occupancy theorem (Putting indistinguishable balls into boxes) - Probabilistic potential theory - Probability summation - Threshold function and their relation to combinatorics/graph theory, number theory, etc. - Tracy-Widom distribution - Verdu-Han lemma -

  • Homogeneous process - Constant parameters process.

[edit] Real analysis

Bi-Pareto distribution - Half-exponential function - Inverse distribution function - Lusin-Menchoff theorem - Maharam theorem - Negative exponential distribution - Vitali covering lemma -

[edit] Recreational mathematics

[edit] Statistics

See also Requested articles in Econometrics

Bateson's cube - Bayesian deviance - Best linear unbiased prediction - Burstiness - Burg's method - used in Matlabs arburg() for estimating AR process coeffs. Biostatistics Clisy - Cochran's Q - Statistical disclosure - Discriminant function - Duncan-Waller k-ratio t-test - Dunn-Sidak bound - Empirical likelihood - Estimated symbol - Extended spatial decorrelation - Fisher-Neyman factorization theorem - Fisher's protected LSD - Fractional error - Gap statistic - Generalized estimating equations- Geodosy - Half-normal distribution - Harmonic mean estimator - Holm Bonferroni method - Hyperparameter - Inherent zero - Iteratively reweighted least squares - JADE (ICA) (an Independent component analysis algorithm) - Interrater reliability - Linear feature extraction (a collection of pattern recognition algorithms used in science and engineering) - Ljung-Box Q - Log-logistic distribution - Log-Pearson type III distribution - log-rank test - Lower tail dependence - Morisita-Horn index - Multivariate t-distribution - Nonlinear curve fitting - Noncentrality parameter - Nonparametric Bayesian method - Normal power family - Probability limit or P-lim - Polychoric correlation matrix - Probit analysis - Profile likelihood - Pseudoreplication - Quantile regression - REDATAM [12] - Ryan Einot Gabriel Welsch method - Scheffe method - Smallest singular value of the hessian Student Newman Kuels method - Studentized range - Superpopulation models - Symmetrical MAPE (SMAPE) - Systematic variation - Tukey B method - Tukey-Kramer method - Upper tail dependence - Varimax factor analysis - noncentrality parameter -

[edit] Topology

[edit] Algebraic topology

Artin-Mazur profinite completion - James construction - Lefschetz duality - Motive (topology) Poincaré-Verdier duality - Strong shape theory - Transgression (fiber bundle) - Witt space - Hyperbolic simplicial complex

[edit] General topology

Absolute neighborhood retract - Affine fibration - Baire set (general topology) (see the disambig page Baire set) - Contiguity space - Double fibration - Hutchinson metric

[edit] Geometric topology

Cerf theory - Cohen immersion theorem - Geometric structure - Geometrization - Lambda lemma - Propeller twisting - Regular neighborhood - String topology - McShane's identity -

[edit] Knot theory

Chayes-McKellar-Winn theorem - Singular braid monoid

[edit] Set-theoretic topology

L-space (mathematics) - Luzin set (please also create redirects Łuzin set and Lusin set) - S-space

[edit] Still uncategorized

Please try to classify the rest of these requests. Bounding lemma - Compendo and dividendo - Coupled map lattice - Cousin's lemma - Definition (mathematics) - Dobrushin's lemma - D-triangle number (redirect to Pascal's triangle?) Dual norm - Dynamic subtraction - Fourier goniometry (related to Goniometric) - Graph (application) (equation plotter) - Graphmatica (equation plotter) - Hilbert-Huang transform - Hindu lattice - Hyperslab - Interior degree - Kadison–Singer problem - Klop's lemma - Mathematical algorithms list and general contrasts to computer algorithms - Mean square quantization error (MSQE) - Model management - Object coloring - Polydromy - polynomiograph, polynomiography - Robert's cross operator - Search theory - Seven point code - Simplistic algorithm - Smallest number - Strict positivity restriction - Uniform bounding lemma -

[edit] See also

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