Wikipedia:Requested articles/Mathematics

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Contents

[edit] Abstract algebra

Asymmetric range/Symmetric range - Cosocle - Dedimensionalisation - Eigenvarieties (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

[edit] Actuarial mathematics

See also Requested articles in finance.

Exponential dispersion models - Computation of actuarial reserves - Policy reserves - Statutory reserves -

[edit] Algebraic geometry

Arakelov geometry (see also the Arakelov theory red link at Glossary of arithmetic and Diophantine geometry) - Dianalytic structure - 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-

[edit] Category theory

Accessible category - Adjoint Functor Theorem(s) - Atomic topos - Coquasitriangular Hopf algebra - Doplicher-Roberts theorem - Effective topos - Enriched limit (mathematics) - Monadic length - Ribbon category - Rigid monoidal category - Semi-abelian category -

[edit] Coding theory

Check matrix - Disguise operation -

[edit] Combinatorics

Macdonald polynomials - MacMahon master theorem - Min function (Some properties of those functions of this type: f(x) = min (g(x), h(x)), ... ) - Schoolgirl problem - Polyhedral combinatorics -

[edit] Complex analysis

Gram polynomial - hyperbolicity - Stirling's theorem

[edit] Complexity theory

Circuit complexity - Crossing sequence - Dimensional shrinkage - Homeokinetics - Pollaczek-Khintchine formula

[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 - Quasi-Newton methods - Steepest descent methods (need disamb between gradient descent and method of steepest descent) - Supporting functional - Waterfilling theorem

[edit] Cryptography

Ari David Levie - Comp128v2 - Cryptographic Quarterly - Fair cryptosystem - Forking lemma - KEA [3] - Keystore - Multilinear modular hashing - Nikita Borisov - Online/offline signature [4] -

[edit] Decision theory

Choquet integral

[edit] Differential equations

Singular limit - Backwards diffusion equations - Bellman-Gronwall inequality (a generalization of Gronwall's inequality) - Cahn-Hilliard equation - Duhamel principle - Nahm equations - Nonstandard finite difference schemes - Orr-Sommerfeld equation - Similarity solution - Sommerfield radiation condition -

[edit] Differential geometry and topology

Ambrose-Singer holonomy theorem - Atiyah-Hitchin-Singer theorem - Clifford bundle - Costa surface - Fermi coordinates - Gibbons-Hawking space - Isocline - 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 - Seiberg-Witten invariants - Symmetric part of a tensor - Symplectic connection - Tight surface (see, for example, [5]) -

[edit] Dynamical systems

Paterson's worm (see [6]) - Zeeman catastrophe machine (see, e.g., [7]) -

[edit] Elementary arithmetic

[edit] Functional analysis

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

[edit] Game theory

Combinatorial auction - Nontransitive game - Penney's game

[edit] Geometry

Birotunda - Casey's theorem - Cubocta - Diametral circle - Diametral lens - Helmert transformation - Killing-Hopf theorem - Noncommutative plane - Omnitruncated 120/600 cell - Operational mathematics - Plane of rotation (generalizable to more dimensions than axis of rotation) - Pornsie's lampshade theorem - Semi-principal axis - Shape grammar theory - Sphere-cylinder intersection - Sphere-sphere intersection (see Plane–sphere intersection) - Steiner's porism - Triangle midsegment conjecture (see [8], should probably be a redirect) - Ultralimit - Unicursal hexagram - Vesca picese geometry - Weak separation property (fractal geometry) - Zonal harmonic - Fortune's Algorithm - equipotential curves (fractal geometry) - Proof of area of a circle(a=pi*r*r)

[edit] Graph theory

Conference graph - Dynamic segmentation - Elimination order - Ellentuck's theorem Filled graph - Frerejaque number - Generalized net (extension to Petri net) - Horizontal constraint graph, Vertical constraint graph - Intrinsically linked graph - Linear referencing - Optimal bitonic tour - Restriction scaffold problem - Tree metric - Uniconnected subgraph - Welch-Powell algorithm - Points and lines - Dark Geometry-

[edit] Group theory

Chief series - Cogroup - Floretion - Group orthogonality theorem or Great orthogonality theorem- Lattice-ordered group (also listed in Order theory) - Recoupling theory - Rédei's theorem - Reidemeister-Schreier rewriting process - Singer cycle, Normalizer of Singer cycle

[edit] History of mathematics

Etymology of mathematical notation - Kerala school of mathematics - rigorization of analysis, usually referred to in 19th century - Numerical Mathematics Consortium

[edit] Lie groups / Lie algebras

10j symbol - 15j symbol - 6j symbol - 9j symbol - 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 - SU(2) - SU(3) - SU(5) - Tangent Lie group SE(3) - Lie group of rigid body transformations

[edit] Linear algebra

Componentwise inequality - Dual basis (Searching for "dual basis" directs to the article Dual basis in a field extension which is not helpful for someone who is trying to grasp the idea of a dual basis) - Eigengap - Invariant factor - Khatri-Rao product - matrix lumping - Nested dissection algorithm (also listed in Numerical analysis) - Numerical linear algebra (also listed in Numerical analysis) - Tracy-Singh product - test matrix

[edit] Logic

[edit] Model theory

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

[edit] Proof theory

Automath

[edit] Recursion theory

Hyperarithmetical reducibility - Ordinal logic - Realizability

[edit] Set theory

A: Amenable set - Axiom of hyper-determinacy - Axiom of quasi-determinacy - Anscombe's quartet - B: Boldface pointclass - C: C-measurable set - Cardinal invariant - Core model program - E: Extended set theory (D L Childs et al.) - G: Grothendieck's axiom H: Homogeneously Suslin set - I: Infinitary combinatorics - Inner model program - J: Jensen hierarchy - K: Kleene-Brouwer order - L: Leftmost branch (of a tree) - M: Mitchell order - Modified Wadge hierarchy - Moschovakis' coding lemma - P: Paris model - Pointclass - 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 - Wadge rank - Wadge reducibility - Weakly homogeneously Suslin set - Y: Yannakakis' algorithm

[edit] Requested logic articles, not yet sorted

Epsilon calculus - Harrop formula - Logic alphabet - Matrix logic - Minimal Herbrand model - Neutrosophic logic - Peano-Russell notation - Self-reference puzzle - Sortal - Transaction logic - Pragmatic fallacy

[edit] Mathematical analysis

Eikonal approximation (in WKB theory) - Finite element method quadratic prism element interpolation function derivation - Function series - Maximum entropy spectral analysis (MESA) - Operational calculus - Perfect differential - Percent recovery - Proof of functional power rule (in table of derivatives: (f^g)' = f^g (f'(g/f) + g ln f) - Steffensen's method - Subjunctive conditional - Trigonometric approximation - Spatial covariance - Positive invariance - Whittaker-Watson formula Needelonator Proof-ninja

[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:

  • Bartle, Robert G. - author of the famous book The Elements of Integration and Lebesgue Measure
  • Bezrukavnikov, Roman
  • Bickel, Peter
  • Bol, Gerrit
  • Braverman, Alexander
  • Brenier, Yann
  • Bruck, Richard Hubert
  • Burago, Yuri Dmitrievich

C:

  • Chakerian, Gulbank Don (USA)
  • Croot, Ernie

D:

  • Danielson, G. C.
  • Donoho, David

E:

  • Ehrenfeucht, Andrzej

F:

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

G:

  • Grabowski, Janusz
  • Gratzer, George
  • Graves, John

H:

  • Rund, Hanno
  • Herglotz, Gustav
  • 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

P:

  • Pimenov, Revolt Ivanovich
  • Prabhakar, Tilak Raj
  • Praeger, Cheryl E.
  • Preiss, David

R:

  • Rickert, John

S:

  • Sendova, Eugenia
  • Stein, Sherman K.
  • Syski, Ryzard (or Ryszard Syski)

V:

  • Van Loan, Charles
  • Vershik, Anatoly
  • 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) -

[edit] Analytic number theory

Bobak Hossainkhani - Brandt matrix - Brandt module - Markov spectrum - Tonelli's algorithm

[edit] Combinatorial and elementary

Base 6 prime number pattern (see, e.g., [9])

[edit] Numerical analysis

Absorbing boundary condition (with redirect from absorbing boundary conditions and mentioning perfectly matched layer) -- Convergence acceleration (with redirect from accelerated convergence) - Bramble-Hilbert lemma - Crosswind diffusion - Faure sequence - Lentz's algorithm (for the evaluation of continued fractions) - Model order reduction - Nested dissection algorithm (also listed in Linear algebra) - Numerical linear algebra (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 - Completion (order theory) - Continuous poset - 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 - Mathematical relaxation - Von Neumann stability analysis -

[edit] Population genetics

nucleotide polymorphism - background selection -

[edit] Potential theory

Bloch space -

[edit] Probability theory

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

[edit] Real analysis

Bi-Pareto distribution - Inverse distribution function - Half-exponential 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. Clisy - Cochran's Q - Statistical disclosure - Discriminant function - Duncan-Waller k-ratio t-test - Dunn-Sidak bound - Empirical likelihood - Estimated symbol - Extended spatial decorrelation - F-Ratio - Fisher-Neyman factorization theorem - Fisher's protected LSD - Gap statistic - Geodosy Gittins index - Half-normal - Harmonic mean estimator - Hierarchical models - Holm Bonferroni method - Hyperparameter - Inherent zero - Interrater reliability - Jaccard similarity coefficient - Kolmogorov-Smirnov statistic - Linear feature extraction (a collection of pattern recognition algorithms used in science and engineering) - Ljung-Box Q - log-Pearson Type III distribution - log-rank test - Morisita-Horn index - Multivariate t-distribution - Nonlinear curve fitting - Noncentrality parameter - Nonparametric Bayesian method - Null distribution - Paired student's t test - Probability limit or P-lim - Profile likelihood - REDATAM [10] - Ryan Einot Gabriel Welsch method - Scheffe method - Student Newman Kuels method - Studentized range - Symmetrical MAPE (SMAPE) - Systematic variation - Tukey B method - Tukey-Kramer method - Variation - Varimax factor analyses - Welch t-test -

[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 - Arens-Fort space - Baire set (general topology) (see the disambig page Baire set) - Contiguity space - Double fibration - Open image -

[edit] Geometric topology

Cerf theory - Geometric structure - Geometrization - Propeller twisting - Regular neighborhood - String topology -

[edit] Knot theory

Chayes-McKellar-Winn theorem - Pure braid - 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 unsorted

Please try to sort out the rest of the requests. abstract comunitronics- D-triangle number (redirect to Pascal's triangle?) Definition (mathematics) - Dynamic subtraction - Fourier goniometry (related to Goniometric) - Graph (application) (equation plotter) - Graphmatica (equation plotter) - Hilbert-Huang transform - Hindu lattice - Hyperslab - Mathematical algorithms list and general contrasts to computer algorithms - Mean square quantization error (MSQE) - Model management - object coloring - Polydromy - Search theory - Seven point code - Simplistic algorithm - Smallest number - Robert's Cross operator - Rational zeroes test -

[edit] See also

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