Wikipedia:Requested articles/Mathematics: Difference between revisions

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Please follow the Wikipedia 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.

Abstract algebra

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 - Freshman's dream theorem Precrossed module (perhaps redirect to an expanded Crossed module?) - Predicative arithmetic - Pseudo-finite field - Saturated field - Serial subgroup - Square class (element of $F^{*}/(F^{*})^{2}$ for some field F) -

Actuarial mathematics

Exponential dispersion model - Computation of actuarial reserves -

Algebraic geometry

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

Calculus of variations

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

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) -

Coding theory

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

Combinatorics

MacMahon master theorem - Polyhedral combinatorics - Oligomorphic group

Complex analysis

Boettcher coordinate- Gram polynomial - Hyperbolicity - Shilov boundary -

Complexity theory

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

Convex analysis / Optimization

Constrained conjugate gradient / Conjugate gradient with barriers (how does the barrier effects the conjugate gradient solution) - 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 -

Cryptography

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

Decision theory

no requests

Differential equations

Backwards diffusion equation - Bellman-Gronwall inequality (a generalization of Gronwall's inequality) - Extended linearity principle - Majda's model - Nonstandard finite difference scheme (Nonstandard finite difference schemes) - Similarity solution - Singular limit - Spheroidal wave function - Trace (for Sobolev spaces)

Differential geometry and topology

Ambrose-Singer holonomy theorem - Atiyah-Hitchin-Singer theorem - Fedosov manifold - Gibbons-Hawking space - Grothendieck lemma - Harmonic coordinates - Light cone quantization - Natural bilinear concomitant - Nonlinear connection - 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]) -

Dynamical systems

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

Elementary arithmetic

no requests

Functional analysis

Bornology (currently a redirect) - Codistribution - 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

Game theory

Nontransitive game - Search game - Strictly determined game and Strictly non-determined game - Saddle value -

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 - 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 - Weak separation property (fractal geometry) - Zonal harmonic - Stelated Dodecahedron -

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 - Mass-distance relation - Tree measure -

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

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? -

Lie groups / Lie algebras

10-j symbol - 15-j symbol - Kač determinant (currently a redirect, gets one sensentence) - Klimyk's formula - Primitive invariant - Quantum double - Racah-Wigner algebra - Racah's multiplicity formula - Radical of a Lie algebra - 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] Schur functor

Linear algebra

Componentwise inequality - Eigengap - Khatri-Rao product - Matrix lumping - Nested dissection algorithm (also listed in Numerical analysis) - Tracy-Singh product - Test matrix - Fast Givens rotation - Nazarova-Roiter algorithm Dantzig-Wolfe decomposition (linear programming)

Logic

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

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:

B:

C:

D:

Donoho, David

E:

Ehrenfeucht, Andrzej
Eutocius (aka Eutocius of Ascalon; see fr:Eutocius and http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Eutocius.html.

F:

G:

H:

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

J:

Jarvis, Frazer

K:

Karp, Carol
Kato, Tosio (Konuma, Giappone, 25 Aug 1917 - Oakland, California, USA, 2 Oct 1999)
Katsevich, Gene
Kaull, Donald
Kelley, Kyle
Knoer, Alvin
Edna Kramer
Kreisel, Georg

L:

M:

Magidor, Menachem
Maharam, Dorothy
Mad Mathmos (a group at Cambridge University)
Morita, Kiiti (Hamamatsu, Japan, 11 Feb 1915 - Tokio, 4 Aug 1995)

N:

P:

R:

Rickert, John

S:

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

V:

W:

Wright, Margaret H.

Y:

Yatsenko, Yuri

Z:

Number theory

Algebraic number theory

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

Analytic number theory

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

Numerical analysis

Absorbing boundary condition (with redirect from absorbing boundary conditions and mentioning perfectly matched layer) -- Box spline - Bramble-Hilbert lemma - Céa's lemma - Compressed sensing (see http://www.math.ucla.edu/~tao/preprints/sparse.html and http://www.dsp.ece.rice.edu/cs/) - 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)

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 ( possible duplicate of Relaxation technique (mathematics) ) - Von Neumann stability analysis -

Population genetics

Nucleotide polymorphism -

Potential theory

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 - Predictive distribution - Homogeneous process - Constant parameters process - Martin boundary

Real analysis

Bi-Pareto distribution - Half-exponential function - Inverse distribution function - Maharam theorem - Negative exponential distribution - Sierpinski-Erdos duality theorem

Recreational mathematics

Statistics

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 - Fast simulation - Fisher-Neyman factorization theorem - Fisher's protected LSD - Fractional error - Frequency distribution table - Gap statistic - Generalized estimating equations- Generalized gaussian distribution (GDD) - The general form of the Gaussian distribution that covers Laplacian and Gaussian among others and a disambiguation page for it. Half-normal distribution - Harmonic mean estimator - Hyperparameter - Inherent zero - Iteratively reweighted least squares - JADE (ICA) (an Independent component analysis algorithm) - Inference on Markov chains - Continuous and discrete time, fixed interval and fixed event sampling - 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 - Quantile regression - REDATAM [12] - Ryan Einot Gabriel Welsch method - Scheffe method - Smallest singular value of the hessian Split plot - 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 - Seasonal index (with redirect from Seasonal indices) - Trendalyzer (Google/Gapminder tool) - variance of conditional expectation.

Topology

Algebraic topology

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

General topology

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

Geometric topology

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

Knot theory

Chayes-McKellar-Winn theorem - Singular braid monoid

Set-theoretic topology

L-space (mathematics) - S-space

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 - Number mysticism (i.e., Greek, Egyptian, Mayan, Chinese) - Object coloring - Polydromy - polynomiograph, polynomiography - Robert's cross operator - Search theory - Seven point code - Simplistic algorithm - Strict positivity restriction - Uniform bounding lemma - Arc of descent - Jeffries multiplier -

@@ Line 191: / Line 191: @@
 [[Weak separation property]] (fractal geometry) -
 [[Zonal harmonic]] -
+[[Stelated Dodecahedron]] -
 ==[[Graph theory]]==

Revision as of 00:25, 9 May 2007

Convex analysis / Optimization

Lie groups / Lie algebras

Other and uncategorized requests

Still uncategorized

See also