Mathematics
Topics in mathematicsStatisticsCalculus and analysisGeometryDiscrete mathematicsFoundationsBasicsAlgebraStatistics and probabilityApplied mathematicsFunctionsMathematicsTheoretical computer scienceFrom Lably lessonsNumber theoryOtherCounting and numbersGeometry and topologyApplied MathematicsGeneralAnalysisArithmeticProbability and statistics
Topics in mathematics
See all →- DiameterStraight line segment that passes through the centre of a circle
- SmoothnessDegree of differentiability of a function or map
- Group actionTransformations induced by a mathematical group
- Monotonic functionOrder-preserving mathematical function
- Countable setMathematical set that can be enumerated
- EllipsoidQuadric surface that looks like a deformed sphere
- Finite setFinite collection of distinct objects
- Order of magnitudeScale of numbers with a fixed ratio
- American Mathematical SocietyAssociation of professional mathematicians
- Image (mathematics)Set of the values of a function
- LinearityProperties of mathematical relationships
- SubgroupSubset of a group that forms a group itself
Statistics
See all →- Mortality rateDeaths per 1,000 individuals per year
- Systematic reviewComprehensive review of research literature using systematic methods
- Sensitivity and specificityStatistical measure of a binary classification
- Longitudinal studyStudy with repeated observations over time
- PrevalenceNumber of disease cases in a given population at a specific time
- StochasticRandomly determined process
- Crimean TatarsTurkic ethnic group indigenous to Crimea
- Data setCollection of data
- False positives and false negativesTypes of error in data reporting
- Cluster analysisGrouping a set of objects by similarity
- Factor analysisStatistical method
- American Community SurveyDemographic survey in the United States
Calculus and analysis
See all →- Continuous functionMathematical function with no sudden changes
- Differential equationType of functional equation (mathematics)
- DerivativeInstantaneous rate of change (mathematics)
- IntegralOperation in calculus
- Partial differential equationType of differential equation
- Taylor seriesMathematical approximation of a function
- SequenceFinite or infinite ordered list of elements
- Fourier transformMathematical transform that expresses a function of time as a function of frequency
- Hilbert spaceType of vector space in math
- GradientMultivariate derivative (mathematics)
- Nonlinear systemSystem where changes of output are not proportional to changes of input
- Measure (mathematics)Generalization of mass, length, area and volume
Geometry
See all →- Euclidean spaceFundamental space of geometry
- Cartesian coordinate systemCoordinate system using perpendicular axes
- SphereSet of points equidistant from a center
- DimensionProperty of a mathematical space
- Topological spaceMathematical space with a notion of closeness
- ManifoldTopological space that locally resembles Euclidean space
- Metric spaceMathematical space with a notion of distance
- Compact spaceType of mathematical space
- Coordinate systemMethod for specifying point positions
- SymmetryMathematical invariance under transformations
- Euclidean planeGeometric model of the planar projection of the physical universe
- CurveMathematical idealization of the trace left by a moving point
Discrete mathematics
See all →- SubsetSet whose elements all belong to another set
- Graph (discrete mathematics)Vertices connected in pairs by edges
- Set theoryBranch of mathematics that studies sets
- AxiomStatement that is taken to be true
- Graph theoryArea of discrete mathematics
- First-order logicType of logical system
- Data structureParticular way of storing and organizing data in a computer
- Mathematical logicSubfield of mathematics
- Partially ordered setMathematical set with an ordering
- Computational complexity theoryInherent difficulty of computational problems
- CombinatoricsBranch of discrete mathematics
- Data compressionCompact encoding of digital data
Foundations
See all →- If and only ifLogical connective
- TupleFinite ordered list of elements
- Category (mathematics)Collection of objects and morphisms
- Cartesian productMathematical set formed from two given sets
- Equivalence classMathematical concept
- Turing machineComputation model defining an abstract machine
- Zermelo–Fraenkel set theoryStandard system of axiomatic set theory
- FunctorMapping between categories
- Reductio ad absurdumArgument that leads to a logical absurdity
- Model theoryArea of mathematical logic
- Logical disjunctionLogical connective OR
- MorphismMap (arrow) between two objects of a category
Basics
See all →- MathematicianPerson with an extensive knowledge of mathematics
- PolynomialType of mathematical expression
- Rational numberQuotient of two integers
- Mathematical modelDescription of a system using mathematical concepts and language
- DecimalNumber in base-10 numeral system
- Binary numberNumber expressed in the base-2 numeral system
- Modular arithmeticComputation modulo a fixed integer
- Roman numeralsNumbers in the Roman numeral system
- Multiplicative inverseNumber which when multiplied by x equals 1
- Square rootNumber whose square is a given number
- RatioRelationship between two numbers of the same kind
- Exponential functionMathematical function, denoted exp(x) or e^x
Algebra
See all →- Vector spaceAlgebraic structure in linear algebra
- Field (mathematics)Algebraic structure with addition, multiplication, and division
- Matrix (mathematics)Array of numbers
- Group (mathematics)Set with associative invertible operation
- Eigenvalues and eigenvectorsConcepts from linear algebra
- IsomorphismIn mathematics, invertible homomorphism
- Euclidean vectorGeometric object that has length and direction
- Linear mapMathematical function, in linear algebra
- AlgebraBranch of mathematics
- Ring (mathematics)Algebraic structure with addition and multiplication
- Algebraic geometryBranch of mathematics
- Lie groupGroup that is also a differentiable manifold with group operations that are smooth
Statistics and probability
See all →- Meta-analysisStatistical method that summarizes and/or integrates data from multiple sources
- Normal distributionProbability distribution
- Probability distributionMathematical function for the probability a given outcome occurs in an experiment
- CorrelationStatistical relationship
- Probability theoryBranch of mathematics concerning probability
- Expected valueAverage value of a random variable
- AverageNumber taken as representative of a list of numbers
- Standard deviationMeasure of variation in statistics
- Random variableVariable representing a random phenomenon
- VarianceStatistical measure of how far values spread from their average
- Randomized controlled trialForm of scientific experiment
- Sampling (statistics)Selection of data points in statistics
Applied mathematics
See all →- Entropy (information theory)Average uncertainty in variable's states
- Loss functionMathematical relation assigning a probability event to a cost
- Decision theoryBranch of applied probability theory
- Instant-runoff votingSingle-winner ranked-choice electoral system
- Nash equilibriumSolution concept of a non-cooperative game
- Dynamic programmingProblem optimization method
- D'Hondt methodMethod for allocating seats in parliaments
- Gradient descentOptimization algorithm
- Prisoner's dilemmaStandard example in game theory
- Mixed-member proportional representationType of mixed electoral system
- Social choice theoryStudy of rational collective decision-making
- Zero-sum gameSituation where total gains match total losses
Functions
See all →- BijectionOne-to-one correspondence
- Absolute valueDistance from zero to a number
- Injective functionFunction that preserves distinctness
- Domain of a functionSet of all things that may be the input of a mathematical function
- Natural logarithmLogarithm to the base of the mathematical constant e
- Sine and cosineFundamental trigonometric functions
- ParameterVariable used for specification
- Surjective functionMathematical function such that every output has at least one input
- Zero of a functionPoint where function's value is zero
- Analytic functionType of function in mathematics
- Dirac delta functionGeneralized function whose value is zero everywhere except at zero
- Exponential growthGrowth of quantities at rate proportional to the current amount
Mathematics
See all →- Anatomical terms of motionTerms describing animal motion
- Euclidean distanceLength of a line segment
- Invertible matrixMatrix with a multiplicative inverse
- PictogramIdeogram that conveys its meaning through its pictorial resemblance to a physical object
- Degree of a polynomialMathematical concept
- Rotational symmetryProperty of objects which appear unchanged after a partial rotation
- CentroidMean position of all the points in a shape
- List of trigonometric identitiesIn trigonometry, trigonometric identities are equalities that involve trigonometric functi
- PatternRegularity in sensory qualia or abstract ideas
- Square numberProduct of an integer with itself
- Self-similarityWhole of an object being mathematically similar to part of itself
- Reflection symmetryInvariance under a mathematical reflection
Theoretical computer science
See all →- Time complexityEstimate of time taken for running an algorithm
- Big O notationDescribes approximate behavior of a function
- Array (data structure)Type of data structure
- Finite-state machineMathematical model of computation
- Tree (abstract data type)Linked node hierarchical data structure
- NP-hardnessComplexity class
- Stack (abstract data type)Abstract data type
- Hash tableAssociative array for storing key–value pairs
- ComputationAny type of calculation
- Linked listData structure with nodes pointing to the next node
- Associative arrayData structure holding key/value pairs
- Sorting algorithmAlgorithm that arranges lists in order
From Lably lessons
See all →- Incircle and excirclesCircles tangent to all three sides of a triangle
- Inscribed figureGeometric figure which is "snugly enclosed" by another figure
- Safe spaceSocially safe zone for communication
- Gulab jamunMilk-solid-based sweet from the Indian subcontinent
- Concyclic pointsPoints on a common circle
- ConsFunction and primitive data structure in Lisp and other functional programming languages
- Arcadia ConferenceAllied planning conference during World War II
- Special right triangleRight triangle with a feature making calculations on the triangle easier
- Inscribed angleAngle formed in the interior of a circle
- Tangential polygonIn Euclidean geometry, a tangential polygon, also known as a circumscribed polygon, is a c
- Hockey stickStick used to propel the puck in hockey
- Tangential quadrilateralPolygon whose four sides all touch a circle
Number theory
See all →- On-Line Encyclopedia of Integer SequencesOnline database of integer sequences
- Recurrence relationPattern defining an infinite sequence of numbers
- Coprime integersTwo numbers without shared prime factors
- DivisorInteger that divides another integer
- P-adic numberNumber system extending the rational numbers
- Greatest common divisorLargest integer that divides given integers
- Composite numberInteger having a non-trivial divisor
- Arithmetic progressionSequence of equally spaced numbers
- Chinese remainder theoremAbout simultaneous modular congruences
- Discrete logarithmProblem of inverting exponentiation in groups
- Least common multipleSmallest positive number divisible by two integers
- Fermat numberPositive integer of the form (2^(2^n))+1
Other
See all →- Game theoryMathematical models of strategic interactions
- Dynamical systemMathematical model of the time dependence of a point in space
- Mathematical optimizationStudy of mathematical algorithms for optimization problems
- Information theoryScientific study of digital information
- Category theoryGeneral theory of mathematical structures
- Chaos theoryField of mathematics and science based on non-linear systems and initial conditions
- Applied mathematicsApplication of mathematical methods to other fields
- Operations researchDiscipline concerning the application of advanced analytical methods
- Control theoryBranch of engineering and mathematics
- Linear programmingMethod to solve optimization problems
- Pure mathematicsMathematics independent of applications
- Transfer functionFunction specifying the behavior of a component in an electronic or control system
Counting and numbers
See all →- Real numberNumber representing a continuous quantity
- Complex numberNumber with a real and an imaginary part
- IntegerNumber in {..., –2, –1, 0, 1, 2, ...}
- Natural numberNumber used for counting
- Prime numberNumber divisible only by 1 and itself
- Number theoryBranch of pure mathematics
- PiNumber, approximately 3.14
- NumberUsed to count, measure, and label
- 0Whole number
- FractionRatio of two numbers
- E (mathematical constant)Base of natural logarithms
- Serial numberUnique code assigned for identification of a single unit
Geometry and topology
See all →- GeometryBranch of mathematics
- TopologyBranch of mathematics
- AngleFigure formed by two rays meeting at a common point
- Three-dimensional spaceGeometric model of the physical space
- VolumeQuantity of a three-dimensional space
- CircleSimple curve of Euclidean geometry
- Line (geometry)Straight figure with zero width and depth
- TriangleShape with three sides
- AreaSize of a two-dimensional surface
- PolygonPlane figure bounded by line segments
- TrigonometryArea of geometry, about angles and lengths
- Triangulation (geometry)In geometry, a triangulation is a subdivision of a planar object into triangles, and by ex
Applied Mathematics
- SyllogismType of logical argument that applies deductive reasoning
- SlopeMathematical term
- CalculationDeliberate process that transforms inputs to outputs with variable change
- Simple random sampleSampling technique
- FormulationPutting together of components
- PerpetuityAnnuity with payments made at equal intervals indefinitely
- Odd Man Out1947 film by Carol Reed
- Graphic communicationCommunication using graphic elements
- F. J. McCormickF. J. McCormick (real name Peter Christopher Judge) (1 June 1890 in Skerries, Ireland – 24
General
- MathematicsField of knowledge
- AlgorithmSequence of operations for a task
- Function (mathematics)Association of one output to each input
- Set (mathematics)Collection of mathematical objects
- Mathematical proofReasoning for mathematical statements
- Discrete mathematicsStudy of discrete mathematical structures
- Fulkerson PrizeAward for advancements in discrete mathematics