Wikipedia:Requested articles/Mathematics

See also: User:Mathbot/Most wanted redlinks, Wikipedia:WikiProject Mathematics/List of math draft pages.

Abstract algebra

• Albert–Penico–Taft theorem -
• BC-domain -
• Capelli polynomial -
• Centroid of a ring -
• Conic algebra (not the algebra of conic sections)
• Demailly's conjecture (strengthening of Chudnovsky's conjecture + need to mention Containment Problem, Harbourne's conjecture)
• Dimer algebra -
• Discriminant algebra -
• Group valuation (not the same as Valuation group) -
• Haiman's conjectures (conjectures on quotient ring by diagonal invariants + conjectures on Kazdhan-Lusztig basis elements of the Hecke algebra)
• H-structure -
• Hecke algebra of Bost and Connes -
• Hopf algebra of Feynman diagrams
• Isotonicity (mathematics) (Lattice theory, etc.) -
• κ-algebra, κ-structure
• Kronecker function ring
• Levi's reduction process
• Martindale's theorem -
• Mixed discriminant
• Module index
• Morita context -
• Multiplicative filter
• Nagata–Higman theorem -
• Oort embedding theorem
• Onsager algebra
• Penico series -
• Polynomial composition -
• Predicative arithmetic - currently a redirect to Impredicativity
• Principle of permanence of identities -
• Principle of specialization of integral dependence
• Quasiassociative algebra
• Quaternionic roots of polynomials
• Pseudo-orthonormal basis – needed to link to from WP, a widely used term, a generalization of but distinct from orthonormal basis in that it allows an indefinite nondegenerate bilinear form.
• RC-algebra -
• Regular basis
• Riesz interpolation property (interpolation property in an ordered abelian group, mentioned in approximately finite dimensional C*-algebra; weakly unperforated, a related property with ordered abelian semigroups, is listed below)-
• Ring of constructible functions
• Ring of divided congruences
• Ringfield (math structure in which div and mul are same operation, should have nice de Moivre complex exponential change in div mul phase?!)
• RL–condition for Hopf algebra -
• Samuel's conjecture
• semi-tropical algebra
• Sikorski extension theorem -
• Singularity category
• Skew-symmetric ring
• Skolem ring
• Swan module
• Syntactic algebra, Syntactic ideal
• Taylor–Dix theorem (isosceles triangles)
• Weak Cayley table group
• Weakly injective module (maybe redirect?)
• Weakly projective module
• Weakly unperforated
• Z.P.I. ring -

Algebraic geometry

• adic space - currently a redirect to Rigid_analytic_space#Other_formulations
• Adelic analysis (developed by Ivan Fesenko)
• Adelic geometry (developed by Ivan Fesenko)
• ALE surface
• algebraic variety of general type (maybe redirect?)
• Batyrev–Borisov mirror construction -
• Belyi cuspidalization (developed by Shinichi Mochizuki)
• Belyi map, with the sub-kind 'Noncritical Belyi map' (studied by Shinichi Mochizuki)
• bunched ring
• Campana–Peternell Conjecture for Fano manifolds
• Central quadric -
• Chow regularity theorem
• Conical curve (note that this is not the same as conic section)
• Convergent cohomology, convergent topos
• Coregular space -
• Debarre–de Jong conjecture (needs mention of Beheshti–Starr conjecture with Langsberb and Tommasi generalization and Canning generalization)
• Deligne pairing
• Drinfeld compactification
• economics geometry
• Equisingular connection
• F-conjecture
• Feynman motive
• Formal quantization
• Futaki invariant - currently a redirect to K-stability
• Gabber rigidity theorem
• Galois deformation - currently a redirect to Deformation ring
• Gamma conjectures
• Gersten's conjecture -
• Green–Griffiths–Lang–Vojta conjecture (aka Green–Griffiths–Lang, combines Lang–Vojta conjecture and Green–Griffiths conjecture)
• Grothendieck’s anabelian conjectures
• Hartshorne’s conjecture on complete intersections
• Hodge-D-conjecture (by Bellinson, don't confuse with the millennium problem or with Hodge standard conjecture on algebraic cycles)
• Hodge stack
• Hom-stack
• Hotta-Kashiwara construction
• Impose independent conditions
• Incidence variety
• Iwahori's theorem
• Kodaira dimension conjectures (non-vanishing, Campana–Peternell, Viehweg, Kebekus-Kovács, Iitaka, Popa superadditivity…)
• Kodaira lemma
• Kontsevich moduli stack
• Kuga–Satake abelian variety
• Levi extension theorem -
• Landau variety -
• Logarithmic differential operator
• Luna–Vust theory -
• MacPherson's local Euler obstruction
• Möbius sphere - also known as an M-sphere
• Modularity lifting theorem
• Mori's bend and break argument (cf. )
• Motivic complex
• Mumford relations
• NMMP conjectures (also mention relation to D-euqivalence conjecture and Dubrovin's conjecture)
• Noether–Lefschetz number
• Noether's factorization theorem
• Optimal basis
• Orbifold cohomology
• Parabolic Higgs bundle
• Parabolic Trigonometry
• Positroid variety -
• Postulation (algebraic geometry)
• Purity lemma -
• Quantum Schubert calculus
• Quasiparabolic bundle, Quasiparabolic homomorphism
• Radiciel morphism
• Relatively ample invertible sheaf -
• Relative quantization
• Samaksh(Sammy's) Conjecture
• Semiabelian variety (currently a redirect)
• Serre's intersection formula (redirect is ok)
• Serre's invariant
• Severi bound
• Shatz stratification
• Simple algebraic group -
• Skoda's theorem on ideal generation (perhaps a redirect)
• Sommese vanishing theorem - (perhaps a Dab page)
• Speciality function -
• Tame stack
• Triangle midsegment theorem
• Uncertain geometry (paper 2008 Simon Jackson commutative representation of Quantum Mechanics?) - also listed under "Differential geometry and topology" and under "Geometry".
• Vélu's formulas, used in cryptography; named for Jacques Vélu
• Weak factorization conjecture
• Welschinger invariant -

Algorithms

• Wolf and Pate correlation (capillary tubes)
  
• L-PLS (extends Partial Least Squares regression to 3 connected data blocks)
  
• OPLS-DA (Orthogonal Projections to Latent Structures - Discriminant Analysis) (Partial Least Squares with discrete variables)
  

Applied mathematics

• econometry of economists
• sociomathematics or Science of sociomathematics:

1. Researching the Socio-Political Dimensions of Mathematics Education: Issues of Power in Theory and Methodology (Mathematics Education Library) [1 ed.] ISBN 9781402079061

• Analog sum (actuarial mathematics)
• Game theory in cancer research - somatic evolution in cancer
• List of applied mathematicians
• List of mathematical biophysicists
• List of mathematical physicists
• Mathematical genomics -
• Nucleotide polymorphism (population genetics, is Single-nucleotide polymorphism sufficient?)
• Rational mechanics - (currently redirects to a Disambiguation neither Classical mechanics or Clifford Truesdell mentions the exact phrase)
• Ultracomplexity - higher-dimensional algebra

Approximation theory

• definitions of infinite:

1. Limit (mathematics)
2. Equilateral_triangle#Circumradius,_inradius,_and_exradii
3. Perimeter#Circumference_of_a_circle
4. Pompeiu's theorem

Arithmetic geometry

• Anderson motive
• Automorphic vector bundle - the notion due to Milne?
• Capacity pairing
• Dieudonné–Manin classification
• Discriminant of an elliptic curve
• Endomotive -
• Finiteness theorem of Faltings
• Frobenius flow -
• Galois representation associated to a modular form
• Generalized elliptic curve
• Horizontal divisor
• Shimura–Shintani–Waldspurger correspondence
• Skolem–Abouzaid theorem -

Books

• Ray's Arithmetic (Ray’s Arithmetic teaches arithmetic in an orderly fashion, starting with basic mathematical rules and principles and building upon those rules as students progress in their studies) ( Mott Media's Ray's Arithmetics - 8 Volume Set, Archive.org's Collection of Ray's Arithmetic Series, Biography of Joseph Ray)

Calculus of variations

• Deformation theorem
• Geometric theory of regression

Category theory

• Anabelioid (defined by Shinichi Mochizuki, 2004 and 2006)
• Arrow function
• Atomic topos
• Bartosz Milewski
• Category without associativity:Neocategory and Composition graph. (See Wikipedia:Reference desk/Archives/Mathematics/2026 June 20#Are there any notions that drop associativity from ordinary category?)
• Coamoeba -
• Compactly generated category
• Constructible object
• Coquasitriangular Hopf algebra
• Cylinder functor
• Double algebroid s - higher dimensional algebra
• Dual functor (Opposite functor)
• Effective epimorphism
• Final coalgebra (to be contrasted with initial algebra and linked with anamorphism as initial algebra is linked from catamorphism)
• Homotopy quantum field theory
• Intertwining operators relations and number
• Lax algebra -
• Lax monad - (See Wikipedia:Reference desk/Archives/Mathematics/2026 April 5#Is there a standard definition of lax monad?)
• Linear functor
• Loop category
• Mal'cev category -
• Monadic length
• Prefunctor Prefunctor form precategory (https://doi.org/10.1016/S1571-0661(05)80315-9) , \mathscr{I}-prefunctor (https://doi.org/10.1007/BFb0097613 p.73)
• Pro-representable functor
• Protomodular category -
• Quasi-inverse functor
• Ultracomplexity - higher dimensional algebra
• Waldhausen localization
• Yoneda ext / Yoneda Ext / Yoneda Ext-algebra / Yoneda Ext algebra (cf. Ext-algebra)

Coding theory

• Coding lemma
• Disguise operation
• Fuzzy vault - encryption scheme. A well written wiki page by Buffalo University already exists with references included.
• Scroll code -

Combinatorics

• Bilinear generating function
• Christoffel word
• Core partition
• Entropic discriminant -
• Gilles Schaeffer Mathematician, recipient of European Prize in Combinatorics 2007, http://www.lix.polytechnique.fr/~schaeffe/index-en.html
• Gowers' dichotomy
• Greedoid language -
• Lecture hall partition, a type of integer partition
• MacMahon squares
• Middle levels conjecture Is there a Hamiltonian path in the graph defined by bitstrings with of length 2n+1 with n or n+1 ones (with an edge between any two vertices for which the corresponding bitstrings differ in exactly one bit)? Note: resolved.
• MacNeish's Conjecture ;
• Metric Inequality
• Park–Park–Song–Suehiro sequences -
• Polynomial Szemerédi theorems
• Positroid -
• Ray-Chaudhuri–Wilson theorem about set intersections
• Semimodular function
• Jay Elroy Sulzberger
• Sylvester's bijection, an explicit bijection between strict partitions and odd partitions
• Terminal series
• Toeplitz word
• Gyration series

Complex analysis

• Artin's theorem on the solutions of analytic equations
• Bernstein–Walsh lemma
• Boettcher coordinate (currently redirects to Boettcher equation, the correct spelling of the name is Böttcher)
• Equilibrium measure -
• Fatou coordinate - see Fatou coordinate
• Formal Newton series
• Fuchsian uniformisation -
• Hyperbolic components
• Hyperbolicity (complex geometry) (not the same as Gromov hyperbolic space, could be included in Kobayashi metric)
• Koebe function currently a redirect
• Kuranishi space
• (Louis) Brands Formula
• Neumann operator
• Natural coordinate system
• Paving lemma
• Polysign numbers
• Proper mapping theorem
• Recursive filter (IIR) float accuracy problem
• Schlicht function currently a redirect
• Schottky uniformisation -
• Z plane as corresponding to Z transforms as used in control engineering

Complexity theory

• Computational invariant theory
• Valiant's conjecture
• Shub smale tau conjecture

Convex analysis / Optimization

• Chordal sparsity
• Constrained conjugate gradient / Conjugate gradient with barriers (how does the barrier effects the conjugate gradient solution) -
• Error surface (see, e.g., ) -
• Forward backward algorithm (operator splitting) (see same reference as for POCS)
• Hildreth-d'Esposo algorithm -
• Hopscotch method -
• Noisy optimization -
• Parameter errors in nonlinear regression mentioned here
• Preference description language (see, e.g., (pdf)) -
• Roman Polyak -

Cryptography

• Comp128v2
• Hierarchical Hash-Chain Broadcast Encryption Scheme - see paper and glossary (further docs available in 'broadband bundle')
• LASH (cryptography) see paper, NIST 2006 workshop, cryptoanalysis, analysis(2), authors PhD. thesis, (german) Diplomathesis about LASH (see 4.3.2)
• Multilinear modular hashing
• Online/offline signature
• Patterson's algorithm
• Post-alien cryptography - see IETF internet draft, paper, IACR paper, website, website.
• Pseudo random large bit sequence using XOR feedback
• Range proof
• Ratcheting (cryptography) - Disambiguate from Ratcheting. Redirect from Ratcheted encryption, Key ratcheting, and Ratcheted key exchange. Wikilink from Double Ratchet algorithm. See Signal: Advanced cryptographic ratcheting, Cryptography Stack Exchange: What is a ratchet?, and Ratcheted Encryption and Key Exchange: The Security of Messaging.
• The Card-Chameleon Cipher - see irc forumlarısource
• Post-compromise security or otherwise known as Future secrecy (similar to but more advanced than Forward secrecy), a category of encryption whereby individual messages can not be decrypted even when an attacker breaks a single key - they need to intercept all messages in order to do so. This is apparently a feature of the Signal protocol and also mentioned in Double ratchet algorithm.
• Lightweight cryptography, or cryptography on embedded systems. NIST has a competition for this.
• Ascon (cryptography) - a family of lightweight algorithms for authenticated encryption and hashing. Went well in the CAESAR competition.

Deformation theory

• Avramov's theorem
• R = T theorem

Differential equations

• Calderon's uniqueness theorem
• Carleman estimates
• Complex differential equation (ordinary and partial differential equations with complex numbers)
• De Giorgi's conjecture
• Differential Gröbner basis
• Extended linearity principle
• Fuchsian system -
• Heaviside transform
• Green current -
• Hypercomplex differential equation (ordinary and partial differential equations with quaternions, octionions and other hypercomplex numbers, from hypercomplex analysis)
• Involutive form
• Point symmetries
• Pseudo-differential equation (e.g. with p-adic numbers, in a non-Archimedean space, therefore 'ultrametric pseudo-differential equation')
• quantum differential equation
• semi-linear wave equation, a generalization of the classical wave equation, e.g.,
• Singular limit
• Stehfest algorithm for inverse Laplace transform
• Universal limit theorem

• Please make a page on linearization of ordinary differential equations. More precisely, consider the system x dot = f(x,u,t) wherex and u are vectors. Then it is a standard result used in the theroy of control systems (in engineering disciplines) that it can be linearized as

x dot = Ax + Bu where A = partial f / partial x and B = partial / partial u. However, in the engineeiring books or web resources no proof is offered for it. Many textbooks cite the following book [*] as a reference for its proof, but unfortunately I do not have access to it. In the engineering field many researchers will benefit from its proof.

[*] H. Amann. Ordinary Differential Equations: An Introduction to Nonlinear Analysis, volume 13 of De Gruyter Studies in Mathematics. De Gruyter, Berlin - New York, 1990. —  Preceding unsigned comment added by 151.238.150.222 (talk • contribs) 20:12, 11 October 2015‎

This is a simple application of the concept of a Total derivative. Whether there is justification for having a whole article on the specific application you have in mind I am not sure. The editor who uses the pseudonym "JamesBWatson" (talk) 14:59, 13 October 2015 (UTC)

I have made a draft article on Quasilinearization in response to the request above. It is awaiting approval at Draft:Quasilinearization. Rob.Corless (talk) 20:46, 31 March 2022 (UTC)

Differential geometry and topology

• Birkhoff curve shortening process -
• Cartan–Tits fixed point theorem
• Casson–Donaldson invariant
• clean intersection
• Colding–Minicozzi theorem on embedded minimal surfaces
• Conjugate locus -
• Formality conjecture
• geometric Satake correspondence
• Bounded geometry (in the sense of Gromov)
• Grothendieck lemma -
• Groenewold–van Hove's no go theorem (maybe redirect)
• Hamilton's compactness theorem -
• Hamilton's tensor maximum principle -
• Heat equation proof of the Atiyah–Singer index theorem
• Hopf problem (source: arXiv:1708.01068). This is the open problem of whether there is a complex structure on the 6-sphere.
• Initial submanifold
• Lacunary principle
• Lefschetz decomposition -
• Light cone quantization -
• Metric measure space
• Min-Oo conjecture
• Mukai vector
• Multijet (mathematics)
• Natural bilinear concomitant -
• Newstead–Ramanan conjecture -
• Nonlinear connection -
• Pfaffian line bundle
• Partial tangent functor -
• Pseudofunction and partie finie (with redirects from Hadamard's partie finie, *Hadamard's finite part) -
• Pseudospherical surface now redirects to pseudosphere but there are many more pseudo spherical surfaces (of which 2 types are smooth ones) see https://en.wikipedia.org/wiki/Talk:Pseudosphere#Pseudospherical_surface_redirects_wrongly_to_this_page
• Quantum knot
• quantum tangle
• Randers manifold -
• Reshetikhin–Turaev tangle calculus
• Ricci's lemma -
• Symplectic connection -
• Tight surface (see, for example, ) -
• Total surgery obstruction
• Transvection (geometry)
• Uncertain geometry (paper 2008 Simon Jackson commutative representation of Quantum Mechanics?) - also listed under "Algebraic geometry" and under "Geometry".
• Weyl's theorem on invariants (cf. )
• Whitney forms -

Dynamical systems

• Aubry–Mather theory -
• Twist maps (see, e.g., ; related to Aubry–Mather theory; classic example is Dynamical billiards, although that page does not contain this perspective)
• CARIMA model -
• Denef–Loeser zeta function or topological zeta function
• Dimension theory of dynamical systems -
• Earthquake flow -
• Kolmogorov model, a more generalised form of the Lotka–Volterra equations (cited at end of the lead)
• Lifshitz sphere (reference to Casimir effect through Evgeny Lifshitz?)
• Nilflow, e.g., as studied by Bill Parry (mathematician)
• Palis conjecture (finitude of attractors)
• Period-doubling monoid - currently redirects to De Rham curve#Properties
• Pseudo-torus -
• Topological pressure -
• Wiener's ergodic theorem (ergodic theorems for ${\displaystyle \mathbb {Z} ^{d}}$ actions; see ) -
• Zeeman catastrophe machine (see, e.g., )
• Zorich–Kontsevich conjecture

Elementary arithmetic

• 1+1(Elementary arithmetic)(ja:1+1)
• Proportion, see the page content currently being overshadowed by a redirect, and the talk page for the entry.

Functional analysis

• Angelic space -
• Bartle–Dunford–Schwartz theorem -
• Brown–Douglas–Fillmore theory (classification of essentially normal operators by their essential spectrum and Fredholm index; introduces also a K-homology, a homology theory on topological spaces defined using C*-extensions.)
• Cayley–Neumann transformation -
• Choi–Effros lifting theorem (stating that a *-homomorphism, from a C*-algebra into a quotient has a completely positive lift if the *-homomorhism is nuclear, in particular when the C*-algebra is nuclear.)
• Choi–Effros theorem for operator systems (abstract characterization of operator systems, plays the same role as the GNS theorem for C*-algebras.)
• Codistribution -
• Collectively compact linear operators
• Complete convergence -
• Convenient analysis -
• Finite representability -
• Fundamental period -
• Fragmentability -
• Hermite–Gaussian -
• Kac–Takesaki operator
• Modular operator - (Modulo operator)
• Nehari's theorem -
• Nekrasov's integral equation describes surface waves and is named for Aleksandr Nekrasov. See, for example, Kuznetsov's article on John Wehausen or this issue in the Mathematica Journal or the entry in the EOM . The Google turns up plenty more articles citing Nekrsov's work.
• Nonlinear operator theory -
• Potapov–Ginzburg transformation -
• Prime Banach space -
• Pseudomeasure Ref:
• Quasi-hyperbolic metric -
• Quasinuclear operator -
• Quaternionic Hilbert space - (see, e.g., )
• Stampacchia theorem -
• Super-reflexive space (or *superreflexive space) -
• Symbol filtered algebra -
• Tensor product of C*-algebras
• Transference method (@article{article, author = {Coifman, Ronald and Weiss, Guido},

title = {Transference methods in analysis. Expository lectures from the CBMS Regional Conference held at the University of Nebraska, May 31-June 4, 1976}})

• Uniformly smooth Banach space -
• Voiculescu's theorem (stating that if the image a representation of a concrete C*-algebra does not contain any compact operators, then, up to unitary equivalence modulo the compacts, it is absorbed by the identity representation as a direct summand.)

Field theory

• Baer–Krull correspondence
• Brauer field -
• Brauer–Witt theorem
• Dedekind field -
• Frobenius field -
• Kaplansky field -
• Kronecker conjugacy, Kronecker class -
• Locality (field)
• Pasch field
• Pólya field -
• Pre-Hilbert field -
• Quadratic form scheme -
• Ramification pairing
• Saturated field

Game theory

• Marketmaking in a Panopticon (by Sandler)
• Multi-perturbation Shapley value analysis (MSA)
• Average Cost Threshold Protocol (A protocol for the funding of public goods) ()
• Timeless decision theory.

Geometry

• Line-cube intersection
• Ammann tilings
• Anisotropic triangles
• Antipodal symmetry - a redirect to point reflection
• Apeirogonal dipyramid (apeirogonal prism dual)
• Arnold's invariants (or Arnold invariants) (J± and St) see https://en.wikipedia.org/wiki/Draft:Arnold_invariants
• Bourgain's conjecture
• Circle plane
• Construction of conic sections 00:31, 17 March 2011 (UTC)
• Cut-and-project -
• Decakismyriagon (100000-sided polygon)
• Diametral circle
• Diametral lens
• Differences between a catenary, parabola, and hyperbola
• Divider dimension
• Enneadecagon (de:Neunzehneck)
• Euler segment
• Geometric figures or List of common geometric figures. As it is, I can't find the names of some simple figures. I shouldn't have to go searching and searching in "polygons" and "curvilinear figures" and "three-dimensional figures." A simple list or table with illustrations and either short descriptions or Wikipedia links would be fine. I'm not looking for some complicated technically correct dense mathematical discussion, just a way to find out the basics.
• Geometric triality, briefly mentioned at triality but a different concept
• Haruki's lemma
• Hexad
• Kotani's Ant Problem(ja:小谷の蟻の問題)
• Milnor's theorem Note: half the theorem is stated at Growth rate (group theory), I don't think much more is needed apart from adding the other half and maybe a redirect (with a more precise page name then simply "Milnor's theorem).
• Mixed geometry
• Model set (cf Harmonious set)
• Nesting polygons
• Noncommutative plane
• Operational mathematics
• Parabolic spandrel
• Pentacontahenagon (51-sided polygon)
• Peritrochoid
• Petersen–Schoute theorem -
• Polystix, Similar to Tetrastix but for sticks of different cross-sections, such as equilateral triangles (tristix) and regular hexagons (hexastix). I don't own the reference book myself, but from the limited google books preview, I gather that they are related to crystalline structures and regular spherical packings of 3d space. As such it may be better to add a redirect to a page about one of those topics, or to the Tetrastix page, and also add complimentary material there explaining the relationship.
• Quasilattice
• Purser's theorem From http://mathworld.wolfram.com/PursersTheorem.html but I don't understand how one chooses those ${\displaystyle \pm }$ signs. So a bit clearer statement is needed.
• Shape grammar theory
• Stevanović's Circle http://mathworld.wolfram.com/StevanovicCircle.html
• Tripling a square
• Theory of proportions
• Triangle midsegment conjecture (see , should probably be a redirect)
• Uncertain geometry (paper 2008 Simon Jackson commutative representation of Quantum Mechanics?) - also listed under "Algebraic geometry" and under "Differential geometry and topology".
• Weak separation property (fractal geometry)
• directed angles, an extremely useful result in euclidean geometry, simplifying many problems.
• Wise's conjecture, explanation on https://ldtopology.wordpress.com/2012/03/06/wises-conjecture/, in fact there should probably be a page on CAT(0) cube complexes or at least a section in the page for CAT(0) space, which would include this.
• Geometric manifold
• Sutured manifold (could probably be a redirect to Thurston norm, though the page currently lacks substantial info on the topic and should be edited before such a redirect)

Graph theory

• Confusion graph, also Confusability graph
• Connection matrix
• Dark geometry
• Dynamic segmentation
• Elimination order
• Ellentuck's theorem
• Explosive percolation
• Filled graph
• Frerejaque number
• Generalized net (extension to Petri net)
• Implicit and explicit domain and range
• Longest circuit
• Mass-distance relation
• Maximum vertex biclique
• Midquad
• Minimum broadcast graph
• Minimum semidefinite rank of a graph
• Minimum skew rank of a graph
• Natural equation
• Plabic graph -
• Restriction scaffold problem
• Surface class
• Toppling ideal -
• Tree measure / Tree metric
• Topological Tutte polynomial -
• Welsh–Powell algorithm

Group theory

• Cliquet theory
• Floretion (Numbers with digits 1,2,4,7 when written in base 8, equipped with group multiplication , could also be in Abstract Algebra or Number Theory. For floretions of order 1 (quaternions) or 2, see Mathar, R. and . Recent work relating floretion base vectors to central products of quaternion groups and triangular-coordinate geometry: Bitwise Triangular Coordinates for Central Products of Quaternion Groups: Floretion Base Vectors, Digitwise S₃-Actions, and Centralizer Tiles; Equilateral Completion in Floretion Triangular Coordinates: Locality, Product Points, and Reflection Symmetry.)
• Garside theory
• Melnikov group -
• Recoupling theory
• Reidemeister–Schreier rewriting process
• Repeating group
• Schreier basis, Schreier system -
• Singer cycle (should be in Geometry of field planes)
• Uniform pro-p-group

Harmonic analysis

• Harmonic regression analysis
• Higher-order Fourier analysis -
• Kunze–Stein operator
• Local smoothing conjecture (the most general one, implies Restriction conjecture)
• Parahoric Hecke algebra
• Polynomial phase -
• Restriction conjecture (implies Kakeya conjecture, implied by Bochner–Riesz conjecture, now a redirect)

History of mathematics and other cultural aspects

• African numeral systems
• Calculus reform —
• Etymology of mathematical notation —
• History of one million
• List of mathematical notation by country A table containing each country's standard symbols for math expressions
• Rigorization of analysis , usually referred to in 19th century —
• economics of reason
• Chronology of computation of e / Chronology of computation of Euler’s Number

History of mathematics Journals

• Gaṇita Bhāratī
• Revista Brasileira de História da Matemática

Homological algebra

• Action cocycle -
• Dwyer–Kan localization
• Representation dimension
• Sweedler cocycle -

Integrable systems

• Donagi–Markman construction

K theory

• Additive dilogarithm
• Arithmetic K-theory
• cyclotomic trace
• Dirac morphism
• E-theory of Higson and Connes, e.g., Equivariant E-theory for C*-algebras
• Geometric K-theory
• Grothendieck period conjecture
• Levine's localisation theorem
• Motivic fundamental group
• p-adic K-theory
• Quillen's localization theorem
• Suslin's rigidity theorem
• (equivariant) Tamagawa number conjecture (currently a redirect)
• Tate spectrum

Lie groups, Algebraic groups / Lie algebras

• 12-j symbol
• 15-j symbol
• Belavin–Drinfeld classification
• Borel density theorem
• Cartan calculus (maybe redirect?) -
• Cartan–Iwahori decomposition This is the non-archimedian version of the Cartan decomposition for real Lie groups; probably should be a redirect to this page after the relevant content is added.
• Casimir connection
• Contact Lie group
• Deligne groupoid
• Dynkin's π-system
• Formality theorem
• Kac diagram
• Kazama–Suzuki supercharge operator
• Klimyk's formula -
• Kostant section
• Kostant–Weierstrass slice
• Lacing number
• Lie colour algebra -
• Motivic Lie algebra
• Olshanskii semigroup
• p-adic Lie group (currently a redirect, gets half a sentence) -
• Polar representation
• Primitive invariant -
• Racah-Wigner algebra -
• Racah's multiplicity formula -
• Slodowy slice
• θ-group
• Uhlenbeck space
• Wakimoto module
• z-extension

Linear algebra

• Anderson–Jury Bezoutian
• Anisotropic group
• Fast Givens rotation -
• Horn's conjecture (on Hermitian matrices proved by Tao) -
• Hotelling deflation -
• Leading 1 -
• Levitzki's theorem (not the same as Levitzky's theorem or Amitsur–Levitzki theorem or Hopkins–Levitzki theorem) -
• Loewner matrix -
• Matrix lumping -
• Monotone matrix function -
• Nazarova–Roiter algorithm -
• Point matrix -
• Test matrix -
• scheduled relaxation Jacobi method -
• Kruskal rank -

doi:10.1016/j.jcp.2014.06.010

Mathematical analysis

• Bernstein–Walsh theorem -
• Central function
• Exhaustion function (in the sense, for example, a Stein manifold admits an plurisubharmonic exhaustion function) -
• Friedrichs' lemma
• Lagrangian distribution
• Percent recovery
• Strong–Riesz mean
• Whittaker–Watson formula
• Newton integral
• Bourbaki integral

Mathematics education

• Open Middle - Open Middle is an educational website for teachers founded by Robert Kaplinsky in 2013. It features "open middle" math problems, which are problems where the method to find the desired answer is up to the student. They are aligned with Common Core and Depth of Knowledge (DOK) levels 2-3.
• socio-mathematics or socio mathematics
• Theory of didactical situations - ICMI Awards - Didactic engineering - Raymond Duval
• World Mathematics Championships - evolution of South East Asian Mathematics Competition

Mathematical logic

Requests for articles about mathematical logic are on a separate page, and should be added there.

Mathematical physics

• Belavin–Knizhnik theorem, Holomorphic anomaly -
• Belavin S-matrix -
• Coleman's Principle
• Epsilon-expansion
• Chiral integral
• Kustaanheimo-Stiefel transform - (See: Universal variable formulation)
• Lifshitz sphere
• STU model
• Uhlenbeck's weak compactness theorem
• Arnold web

Mathematicians

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

Matrices

• Centered in describing the columns or rows of a matrix ^{[clarification needed]} (Is this different from Centering matrix?)
• Contraction equivalence -
• Matrix-matrix transport -
• Mixed discriminant -
• Term rank -
• Pseudo covariance (Also called of "complementary covariance". The pseudo-covariance is defined whenever a complex random vector z and its conjugate z* are correlated, making the covariance matrix C = cov(z) = E zz^H not describe entirely the second order statistics of z.)

Measure Theory

• Besicovitch–Federer projection theorem

Number theory

• Novenonagintanongentillion- (10^3000 or 10^5994) the largest -illion number before a millillion.
• Prime number distribution series -

• 32760_(number) -- lowest number evenly divisible by all integers from 1 to 16; factorisation 2 * 2 * 2 * 3 * 3 * 5 * 7 * 13. [Comment: 32760 is not divisible by 16 or 11. The correct lowest number divisible by 1 through 16 is 720720.]
• 7920 (number) -- see http://www.numbergossip.com/7920 -- as far as I can see, the only unique thing about this number is that it's the order of the smallest sporadic simple group

Numerical analysis

• Absorbing boundary condition (with redirect from *absorbing boundary conditions and mentioning *perfectly matched layer) -
• Alphacertified e.g.
• Essentially non-oscillatory (ENO) -
• Faure sequence -
• Gregory's integration formula See
• Homotopy continuation method for solving for roots. e.g.
• Orthomin(1) algorithm (for approximating Ax = b) -
• Peano kernel e.g., see page 149 of
• Primorial factorization -
• Watson transformation -
• Wexler's algorithm - (referenced in the alt-text of xkcd.com/69) (also see )

Order theory

• Adjoint functor theorem (order theory) -
• Galois insertion
• Greechie diagram -
• Ideal completion -
• Irreducible element (order theory) -
• Join-dense set -
• Kaucher arithmetic -
• Localic group -
• Mathematical relaxation (order theory) -
• Meet-dense set -
• Powerdomain (order theory) -
• Prime element (order theory) -
• Suzumura consistency -

Organisations

• Art of Problem Solving Foundation
• European Consortium for Mathematics in Industry - ECMI (Note see article in French Wikipedia )
• European Society for Mathematical and Theoretical Biology - ESMTB
• Mathematical Society of South Eastern Europe - MASSEE
• Albanian Mathematical Society
• Belarusian Mathematical Society
• Belgian Statistical Society
• Bosnian Mathematical Society
• Croatian Mathematical Society
• Indonesian Mathematical Society
• Italian Association of Mathematics Applied to Economic and Social Sciences
• Società Italiana di Matematica Applicata e Industriale
• Macedonian Society Association Mathematics/Computer Science
• Mexican Mathematical Society (Sociedad Matemática Mexicana)
• Network Science Society
• Ural Mathematical Society
• Vietnam Mathematical Society
• Voronezh Mathematical Society
• Sociedad Española de Matemática Aplicada (Spanish Soc. of Appl. Math.)
• Swedish Statistical Society
• Ukrainian Mathematical Society

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
• Finite set statistics
• G. Stoica (G. Stoica's biography)
• Heavy-traffic diffusion approximations to queueing systems
• Kantorovich–Rubinstein theorem
• Luders rule
• Marked point process
• Martin boundary
• Noncommutative probability theory, maybe even merged with free probability: quantum stochastic processes, quantum stochastics calculus, etc. One might see Noncommutative geometry for a general idea.
• Objective chance
• Probability Hypothesis Density Filter
• Probability summation
• Random covering
• Stein's two-sample procedure
• Stress–strength model
• Threshold function and their relation to combinatorics/graph theory, number theory, etc. -
• Track-to-track fusion
• Transformation law of probabilities
• Verdu–Han lemma
• Watson Distribution

Quantum stochastic calculus

• Evans–Hudson flow see Robin Lyth Hudson

Real analysis

• Bi-Pareto distribution -
• Correct value as opposed to final value. this is seen when talking about true mean AND mean in statistics. But there is no article explaining this difference.
• Hake's theorem (see *Henstock–Kurzweil integral) -
• Leibniz transmutation method -
• n-dimensional singularity -
• Probability inequalities -
• Sierpinski–Erdős duality theorem -
• Statistical convergence -
• List of Lebesgue integration identities -

Recreational mathematics

• Grafting number -
• Prime puzzles in primepuzzles.net -
• Parker Square -

Representation theory (incl. harmonic analysis)

• Bahadur–Ghosh–Kiefer representation
• Endoscopic classification
• Gelfand's lemma
• General position character
• Geometric representation theory
• Howe conjecture
• Ind-sheaf
• Littelmann character formula
• Lusztig's conjecture on irreducible characters
• Pieri algebra
• Shintani correspondence, Shintani norm
• Steinberg tensor product theorem

Semigroup theory

• Flow monoid -
• Krull monoid
• Local divisor
• Solvable monoid

Special functions

• Confluent hypergeometric limit function (i.e. ₀F₁; currently redirects to generalized hypergeometric function, or _pF_q)
• Gram–Charlier polynomials (currently redirects to Edgeworth series, which does not tell what a Gram–Charlier polynomial is)
• Harmonic polylogarithms (or HPL's, appear e.g. in the expansion of hypergeometric functions when computing multi-loop Feynman diagrams. See e.g. )
• Hyperlogarithm -
• Nielsen's generalized polylogarithm (for the subject matter see e.g. §19)
• Polylogarithm factorial

Statistics

• Aalen–Johansen estimator
• Abracadabra problem / Abracadabra theorem - see https://www.youtube.com/watch?v=SDw2Pu0-H4g, https://math.uchicago.edu/~may/VIGRE/VIGRE2011/REUPapers/Ai.pdf
• Allan Factor - see http://www.sciencedirect.com/science/article/pii/S0378437112009806
• Anderson–Bahadur algorithm see Raghu Raj Bahadur
• Ansari–Bradley test -
• Average fold error - see e.g. eq 22 in http://jpet.aspetjournals.org/content/283/1/46.long
• Bayesian deviance -
• Begg's test - related to funnel plots, meta-analysis and publication bias
• Difference in betas -
• Burg's method -used in Matlabs arburg() for estimating AR process coeffs.
• bias quantification
• Clisy -
• Composite reference standard - A method for evaluating diagnostic test in absence of gold standard test. See http://www.teachepi.org/documents/courses/tbdiagrx/day2/Dendukuri%20Diagnostic%20Tests%20in%20the%20Absence%20of%20a%20Gold%20Standard.pdf
• Compound sampling -
• Conditional covariance -
• D statistic
• Doornik and Hansen normality test -
• Duncan–Waller k-ratio t-test -
• Dunn–Šidák bound -
• Economic plausibility -
• Egger's test - related to funnel plots, publication bias and meta-analysis
• Expectile generalization of quantiles to finite samples, originally introduced by Efron
• Extended spatial decorrelation -
• Extremal types theorem
• Estimated potential scale reduction - a check for convergence in MCMC
• f3 statistic
• Fast simulation -
• Fractional error -
• Gap statistic -
• Frailty modeling
• Graybill–Deal estimator -
• h-statistic - unbiased sample estimators of central moments
• Harmonic mean estimator -
• Hauck-Donner phenomenon -
• Hill estimator -
• Historical average - as a general statistics concept related to history
• 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 -
• Iterative thresholding algorithm -
• Least median squares -
• Logarithmic regression - used frequently to model data that change logarithmically. See [], [], and []
• Jenks natural breaks - (numeric classification, useful for thematic maps)
• Kaiser–Meyer–Olkin criterium (de:Kaiser-Meyer-Olkin-Kriterium)
• Line plot -
• Lower tail dependence -
• Max-stable distribution -
• Morisita–Horn index -
• Nested ANOVA
• Nonparametric Bayesian method -
• Nonparametric data
• Normal power family -
• Normalized mean - see https://en.wikipedia.org/wiki/Average#Miscellaneous_types and Merigo, Jose M.; Cananovas, Montserrat (2009). "The Generalized Hybrid Averaging Operator and its Application in Decision Making". Journal of Quantitative Methods for Economics and Business Administration. 9: 69–84. ISSN 1886-516X.
• Parametric data
• p-hacking (related to multiple comparisons problem. Lots of good references online.)
• Permutational multivariate analysis of variance (PERMANOVA)
• Positive scoring agreement -
• pooled OLS -
• Posterior predictive p-value -
• Probability-weighted moment -
• pseudo-F (statistics)
• Quantum statistics -
• Random regression -
• REDATAM -
• Root mean square error of approximation (RMSEA)
• Relative root-mean-squared error (RRMSE)
• Ryan Einot Gabriel Welsch method -
• Rotation testing -
• Samuel Cahn, Esther - Recipient of the Israel Prize in Statistics, 2004
• Seasonal index (with redirect from *Seasonal indices) -
• Separate families of hypotheses (and tests of) -
• Smallest singular value of the hessian -
• Skew elliptical distribution -
• Standardized incidence ratio , *Standardised incidence ratio -
• Statistical disclosure -
• Structural change method (SCM model) -
• Superiority and non-inferiority
• Superpopulation models -
• Supervised Hierarchical Clustering
• Supralinear (need explanation of term) (-)
• Systematic variation -
• Transdimensional transformation based Monte Carlo Markov Chain-
• Treatment effect of the treated
• Trimedian - see https://en.wikipedia.org/wiki/Average#Miscellaneous_types and Merigo, Jose M.; Cananovas, Montserrat (2009). "The Generalized Hybrid Averaging Operator and its Application in Decision Making". Journal of Quantitative Methods for Economics and Business Administration. 9: 69–84. ISSN 1886-516X.
• Total Access Statistics should be added to the list of statistical analysis programs http://en.wikipedia.org/wiki/List_of_statistical_packages. It's been around since the early 1990s: http://www.fmsinc.com/MicrosoftAccess/StatisticalAnalysis.html
• Ungrouped data -
• Upper tail dependence -
• Wiener–Granger causality (WGC) - clarify relationship to Granger Causality Wikipedia article
• Wilson estimate -
• Ladder of powers -
• Z-ranking -

Topology

Uncategorized

Please try to classify these requests.

• Arc of descent

• Complex four-phase (sequences)
• Constructive recursive mathematics

• Definition (mathematics)
• Difference predictor
• Dobrushin's lemma see https://books.google.com/books?id=BX7iWXh5sDUC&pg=PA231%22&f=false
• Dynamic subtraction
• Eigenfilter
• Enright–Varadarajan modules
• Epsilon (infinitesimal)
• Equilogical spaces

• Fujisaki–Kallianpur–Kunita equations
• Generalization in mathematics
• Graph (application) (equation plotter)
• Hyperslab
• Hypertabastic function or Hypertabastic distribution

  Mohammad A Tabatabai; Zoran Bursac; David K Williams; Karan Singh (February 2007). "Hypertabastic survival model". Theoretical Biology and Medical Modelling. Vol. 4. doi:10.1186/1742-4682-4-40.

• Kostant–Parthasarathy–Ranga Rao–Varadarajan determinants
• Literal quantities
• Mathematical algorithms list and general contrasts to computer algorithms -
• Mathematics of computer science
• Metrically transitive operator from Leonid Pastur.
• Meaning function
• Migdal formula
• Mug Wump The silly math character who sometimes has a hat. Used to teach translations on a graph/plane. Yes this is real, don’t know why it got removed from the list.
• Natural logarithm of 10 perhaps merge with Natural logarithm of 2
• Non-constructive logic
• Nondeterministic polynomial time integer factorization for those who can't understand Shor's algorithm
• Numdam doi:10.1007/978-3-319-62075-6_6 Article title is tentative.
• Object coloring
• Omnific integers a type of surreal number thats the equivalent of integers but for the surreal numbers
• Poincare-Bertrand Theorem
• Ordinates transport

• Polynomiograph

• Relational homomorphism
• Relational isomorphism

• Robert's cross operator
• Seven-point code
• Skew binary
• Square snowflake related to Peano curve and *Koch snowflake
• Strict positivity restriction-

• Tally chart
• Transform calculus, a type of analysis ]] -

• Weak derived set -- see Theory of Linear Operations by S. Banach, page 127 -- quote: "The weak derived sets of bounded linear functionals."

• Simon's favorite factoring trick
• Higher Class Numbers -- see
• Hyperscientific 'F' Notation -- 'F' is used to denote repeated 'e' in Scientific 'e' Notation
• 18,446,744,073,709,551,616, 18,446,744,073,709,551,615, 9,223,372,036,854,775,808 9,223,372,036,854,775,807, 4,294,967,296, and 2,147,483,648

See also

• Wikipedia:Missing science topics

References