Topics in mathematics
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- F-coalgebraIn mathematics, specifically in category theory, an -coalgebra is a structure defined acco
- F-divergenceFunction that measures dissimilarity between two probability distributions
- F4 (mathematics)52-dimensional exceptional simple Lie group
- Fair cake-cuttingFair division problem
- Fake projective planeIn mathematics, a fake projective plane (or Mumford surface) is one of the 50 complex alge
- False (logic)Possessing negative truth value
- Faltings' theoremCurves of genus > 1 over the rationals have only finitely many rational points
- Family of setsAny collection of sets, or subsets of a set
- Fan ChungAmerican mathematician
- Fano planeGeometry with 7 points and 7 lines
- Fantasia MathematicaBook by Clifton Fadiman
- Farkas' lemmaSolvability theorem for finite systems of linear inequalities
- Fáry's theoremPlanar graphs have straight drawings
- Fatou's lemmaLemma in measure theory
- Fatou's theoremIn mathematics, specifically in complex analysis, Fatou's theorem, named after Pierre Fato
- Fedor BogomolovRussian and American mathematician
- Feller processIn probability theory relating to stochastic processes, a Feller process is a particular k
- Fellowship of the Royal Society of EdinburghAward granted by the Royal Society of Edinburgh
- Feltrinelli PrizeThe Feltrinelli Prize (from the Italian "Premio Feltrinelli", also known as "International
- Fence (mathematics)Partially ordered set with alternatingly-related elements
- Fenchel–Moreau theoremIn convex analysis, the Fenchel–Moreau theorem (named after Werner Fenchel and Jean Jacque
- Fenchel's duality theoremMathematical result in convex functions theory
- Fenchel's theoremGives the average curvature of any closed convex plane curve
- Fermat curveIn mathematics, the Fermat curve is the algebraic curve in the complex projective plane de
- Fermat polygonal number theoremEvery positive integer is a sum of at most n n-gonal numbers
- Fermat PrizeThe Fermat prize of mathematical research biennially rewards research works in fields wher
- Fermat's right triangle theoremRational right triangles cannot have square area
- Fermat's theorem on sums of two squaresCondition under which an odd prime is a sum of two squares
- Fiber (mathematics)Class of points in a function's domain defined by having the same image by that map
- Fiber bundleContinuous surjection satisfying a local triviality condition
- Fibonacci cubeIn the mathematical field of graph theory, the Fibonacci cubes or Fibonacci networks are a
- FibrationConcept in algebraic topology
- Fibred categoryConcept in category theory
- Field normConcept in field theory mathematics
- Figurate numberThe term figurate number is used by different writers for members of different sets of num
- Filter on a setFamily of subsets representing "large" sets
- Filters in topologyApplication of set theory concept
- Finger-countingMulti-cultural system of counting directly involving the digits
- Finitary relationProperty that assigns truth values to k-tuples of individuals
- Finite differenceDiscrete analog of a derivative
- Finite difference coefficientCoefficient used in numerical approximation
- Finite difference methodClass of numerical techniques
- Finite geometryGeometric system with a finite number of points
- Finite groupMathematical group based upon a finite number of elements
- Finite intersection propertyProperty in general topology
- Finite model theoryBranch of logic
- Finite morphismConcept in algebraic geometry
- Finite ringIn mathematics, more specifically abstract algebra, a finite ring is a ring that has a fin
- Finite setFinite collection of distinct objects
- Finite sphere packingMathematical theory
- Finitely generated abelian groupCommutative group where every element is the sum of elements from one finite subset
- Finitely generated groupGroup type in algebra
- FinitismPhilosophy of mathematics that accepts only finite objects
- Finsler manifoldGeneralization of Riemannian manifolds
- First uncountable ordinalSmallest ordinal number that, considered as a set, is uncountable
- First-class constraintIn physics, a first-class constraint is a dynamical quantity in a constrained Hamiltonian
- Fischer groupIn the area of modern algebra known as group theory, the Fischer groups are the three spor
- Fisher–Tippett–Gnedenko theoremTheorem in statistics
- Fisheye lensWide-angle photographic lens with strong barrel distortion
- Fitness model (network theory)In complex network theory, the fitness model is a model of the evolution of a network: how
- Five color theoremPlanar maps require at most five colors
- Fixed-point computationComputing the fixed point of a function
- Flat moduleAlgebraic structure in ring theory
- Flexible polyhedronIn geometry, a flexible polyhedron is a polyhedral surface without any boundary edges, who
- Følner sequenceIn mathematics, a Følner sequence for a group is a sequence of sets satisfying a particula
- Formal power seriesInfinite sum that is considered independently from any notion of convergence
- Formal proofEstablishment of a theorem using inference from the axioms
- Formalism (philosophy of mathematics)View that mathematics does not necessarily represent reality, but is more akin to a game
- Foundations of geometryFoundations of geometry is the study of geometries as axiomatic systems. There are several
- Fourier integral operatorIn mathematical analysis, Fourier integral operators have become an important tool in the
- Fox n-coloringIn the mathematical field of knot theory, Fox n-coloring is a method of specifying a repre
- Fractal dimensionReal-valued number of spatial dimensions
- Fractional idealSubmodule of fractions in abstract algebra
- Francis Sowerby MacaulayFrancis Sowerby Macaulay FRS (11 February 1862, Witney – 9 February 1937, Cambridge) was a
- Frank AdamsBritish mathematician (1930–1989)
- Frank Nelson ColeAmerican mathematician
- Frank P. RamseyBritish philosopher, mathematician and economist (1903–1930)
- Frans van SchootenDutch mathematician (1615–1660)
- Fréchet manifoldIn mathematics, in particular in nonlinear analysis, a Fréchet manifold is a topological s
- Freddy DelbaenFreddy Delbaen (born 21 November 1946 in Duffel, Belgium) is a Belgian-Swiss mathematician
- Fredholm theoryIn mathematics, Fredholm theory is a theory of integral equations. In the narrowest sense,
- Free groupMathematics concept
- Free presentationIn algebra, a free presentation of a module M over a commutative ring R is an exact sequen
- Free productOperation that combines groups
- Frequency domainSignal representation
- Freudenthal magic squareIn mathematics, the Freudenthal magic square (or Freudenthal–Tits magic square) is a const
- Frobenius groupConcept in mathematics
- Frobenius theorem (differential topology)On finding a maximal set of solutions of a system of first-order homogeneous linear PDEs
- Functional (mathematics)Types of mappings in mathematics
- Functional completenessConcept in mathematical logic
- Functional equationEquation whose unknown is a function
- Fundamental theorem of Galois theoryCorrespondence between subfields and subgroups

