Mathematics
Arithmetic, algebra, geometry, calculus, statistics and related fields.
Areas within Mathematics
Arithmetic
Core number operations, ratios, fractions and numerical reasoning.
197 wordsAlgebra
Symbols, equations, functions and abstract relationships.
114 wordsGeometry
Shape, space, measurement and spatial proof.
75 wordsCalculus
Rates of change, accumulation, limits and continuous functions.
32 wordsProbability
Chance, uncertainty, random events and distributions.
57 wordsStatistics and data science
Data, variation, inference, modelling and evidence.
12 wordsCombinatorics
Specialist vocabulary classified under Mathematics.
19 wordsDifferential equations
Specialist vocabulary classified under Mathematics.
7 wordsDiscrete mathematics
Specialist vocabulary classified under Mathematics.
2 wordsLinear algebra
Specialist vocabulary classified under Mathematics.
12 wordsMathematical analysis
Specialist vocabulary classified under Mathematics.
10 wordsMathematical logic
Specialist vocabulary classified under Mathematics.
46 wordsMathematical statistics
Specialist vocabulary classified under Mathematics.
85 wordsNumber theory
Specialist vocabulary classified under Mathematics.
14 wordsNumerical analysis
Specialist vocabulary classified under Mathematics.
4 wordsOptimisation
Specialist vocabulary classified under Mathematics.
7 wordsSet theory
Specialist vocabulary classified under Mathematics.
65 wordsTopology
Specialist vocabulary classified under Mathematics.
11 wordsTrigonometry
Specialist vocabulary classified under Mathematics.
8 words120 featured terms
The database can contain more terms than shown here; this page prioritises the strongest mappings.
(mathematics) the number of significant figures given in a number; "the atomic clock enabled scientists to measure time with much greater accura…
Additive inversenoun(mathematics) one of a pair of numbers whose sum is zero; the additive inverse of -5 is +5
Affineadjective(mathematics) of or pertaining to the geometry of affine transformations
Affine transformationnoun(mathematics) a transformation that is a combination of single transformations such as translation or rotation or reflection on an axis
Arithmetic progressionnoun(mathematics) a progression in which a constant is added to each term in order to obtain the next term; "1-4-7-10-13- is the start of an arithme…
Asymmetrynoun(mathematics) a lack of symmetry
Balancenoun(mathematics) an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane
Bayes' postulatenoun(statistics) the difficulty of applying Bayes' theorem is that the probabilities of the different causes are seldom known, in which case it may…
Bayes' theoremnoun(statistics) a theorem describing how the conditional probability of a set of possible causes for a given observed event can be computed from kn…
Bernoulli's lawnoun(statistics) law stating that a large number of items taken at random from a population will (on the average) have the population statistics
Binomialnoun(mathematics) a quantity expressed as a sum or difference of two terms; a polynomial with two terms
Boundary conditionnoun(mathematics) a condition specified for the solution to a set of differential equations
Cardinalitynoun(mathematics) the number of elements in a set or group (considered as a property of that grouping)
Centilenoun(statistics) any of the 99 numbered points that divide an ordered set of scores into 100 parts each of which contains one-hundredth of the total
Characteristic root of a square matrixnoun(mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant
Complex numbernoun(mathematics) a number of the form a+bi where a and b are real numbers and i is the square root of -1
Complex quantitynoun(mathematics) a number of the form a+bi where a and b are real numbers and i is the square root of -1
Correspondencenoun(mathematics) an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane
Covariancenoun(statistics) the mean value of the product of the deviations of two variates from their respective means
Covariationnoun(statistics) correlated variation
Decilenoun(statistics) any of nine points that divided a distribution of ranked scores into equal intervals where each interval contains one-tenth of the…
Degree of freedomnoun(statistics) an unrestricted variable in a frequency distribution
dependent variablenoun(statistics) a variable in a logical or mathematical expression whose value depends on the independent variable; "if f(x)=y, y is the dependent…
Diagonalnoun(mathematics) a set of entries in a square matrix running diagonally either from the upper left to lower right entry or running from the upper r…
Distributionnoun(statistics) an arrangement of values of a variable showing their observed or theoretical frequency of occurrence
Domainnoun(mathematics) the set of values of the independent variable for which a function is defined
Domain of a functionnoun(mathematics) the set of values of the independent variable for which a function is defined
eigenvaluenoun(mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant
Eigenvalue of a matrixnoun(mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant
Eigenvalue of a square matrixnoun(mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant
Elementary geometrynoun(mathematics) geometry based on Euclid's axioms
Elliptic geometrynoun(mathematics) a non-Euclidean geometry that regards space as like a sphere and a line as like a great circle; "Bernhard Riemann pioneered ellipt…
Euclid's axiomnoun(mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry
Euclid's postulatenoun(mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry
Euclidean axiomnoun(mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry
Euclidean geometrynoun(mathematics) geometry based on Euclid's axioms
Experimental variablenoun(statistics) a variable whose values are independent of changes in the values of other variables
Extrapolationnoun(mathematics) calculation of the value of a function outside the range of known values
Factoringnoun(mathematics) the resolution of an expression into factors such that when multiplied together they give the original expression
Factorisationnoun(mathematics) the resolution of an expression into factors such that when multiplied together they give the original expression
Factorizationnoun(mathematics) the resolution of an expression into factors such that when multiplied together they give the original expression
Fieldnoun(mathematics) a set of elements such that addition and multiplication are commutative and associative and multiplication is distributive over ad…
Formal systemnoun(logic and mathematics) abstract, theoretical organization of terms and implicit relationships that is used as a tool for the analysis of the co…
Formulanoun(mathematics) a standard procedure for solving a class of mathematical problems; "he determined the upper bound with Descartes' rule of signs";…
Fractalnoun(mathematics) a geometric pattern that is repeated at every scale and so cannot be represented by classical geometry
Fractal geometrynoun(mathematics) the geometry of fractals; "Benoit Mandelbrot pioneered fractal geometry"
Functionnoun(mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of anothe…
Geodesicnoun(mathematics) the shortest line between two points on a mathematically defined surface (as a straight line on a plane or an arc of a great circl…
Geodesic linenoun(mathematics) the shortest line between two points on a mathematically defined surface (as a straight line on a plane or an arc of a great circl…
Geometric progressionnoun(mathematics) a progression in which each term is multiplied by a constant in order to obtain the next term; "1-4-16-64-256- is the start of a g…
Harmonic progressionnoun(mathematics) a progression of terms whose reciprocals form an arithmetic progression
Homothecynoun(mathematics) an isotropic scaling transformation of an affine space with a single fixed point.; "Successive applications of homotheties with co…
Homothetynoun(mathematics) an isotropic scaling transformation of an affine space with a single fixed point.; "Successive applications of homotheties with co…
Hyperbolic geometrynoun(mathematics) a non-Euclidean geometry in which the parallel axiom is replaced by the assumption that through any point in a plane there are two…
Imagenoun(mathematics) the set of values of the dependent variable for which a function is defined; "the image of f(x) = x^2 is the set of all non-negati…
Imaginarynoun(mathematics) a number of the form a+bi where a and b are real numbers and i is the square root of -1
Imaginary numbernoun(mathematics) a number of the form a+bi where a and b are real numbers and i is the square root of -1
independent variablenoun(statistics) a variable whose values are independent of changes in the values of other variables
Infinitesimalnoun(mathematics) a variable that has zero as its limit
Injectivenessnoun(mathematics) The state or quality of relating to, or being an injection: such that each element of the image (or range) is associated with at m…
Interchangeableadjective(mathematics, logic) such that the arguments or roles can be interchanged; "the arguments of the symmetric relation, ‘is a sister of,’ are inter…
Interpolationnoun(mathematics) calculation of the value of a function between the values already known
Law of large numbersnoun(statistics) law stating that a large number of items taken at random from a population will (on the average) have the population statistics
Lower boundnoun(mathematics) a number equal to or less than any other number in a given set
Mapnoun(mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of anothe…
Mappingnoun(mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of anothe…
Mathematical functionnoun(mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of anothe…
Mathematical operationnoun(mathematics) calculation by mathematical methods; "the problems at the end of the chapter demonstrated the mathematical processes involved in t…
Mathematical processnoun(mathematics) calculation by mathematical methods; "the problems at the end of the chapter demonstrated the mathematical processes involved in t…
Mathematical spacenoun(mathematics) any set of points that satisfy a set of postulates of some kind; "assume that the topological space is finite dimensional"
Matrixnoun(mathematics) a rectangular array of quantities or expressions set out by rows and columns; treated as a single element and manipulated accordin…
Multiplicative inversenoun(mathematics) one of a pair of numbers whose product is 1: the reciprocal of 2/3 is 3/2; the multiplicative inverse of 7 is 1/7
Non-Euclidean geometrynoun(mathematics) geometry based on axioms different from Euclid's; "non-Euclidean geometries discard or replace one or more of the Euclidean axioms"
Numerical analysisnoun(mathematics) the branch of mathematics that studies algorithms for approximating solutions to problems in the infinitesimal calculus
Operationnoun(mathematics) calculation by mathematical methods; "the problems at the end of the chapter demonstrated the mathematical processes involved in t…
Operatornoun(mathematics) a symbol or function representing a mathematical operation
Osculationnoun(mathematics) a contact of two curves (or two surfaces) at which they have a common tangent
Parabolic geometrynoun(mathematics) geometry based on Euclid's axioms
Parallelnoun(mathematics) one of a set of parallel geometric figures (parallel lines or planes); "parallels never meet"
Paritynoun(mathematics) a relation between a pair of integers: if both integers are odd or both are even they have the same parity; if one is odd and the…
Percentilenoun(statistics) any of the 99 numbered points that divide an ordered set of scores into 100 parts each of which contains one-hundredth of the total
Planenoun(mathematics) an unbounded two-dimensional shape; "we will refer to the plane of the graph as the X-Y plane"; "any line joining two points on a…
Populationnoun(statistics) the entire aggregation of items from which samples can be drawn; "it is an estimate of the mean of the population"
Quartilenoun(statistics) any of three points that divide an ordered distribution into four parts each containing one quarter of the scores
Radicalnoun(mathematics) a quantity expressed as the root of another quantity
Rangenoun(mathematics) the set of values of the dependent variable for which a function is defined; "the image of f(x) = x^2 is the set of all non-negati…
Range of a functionnoun(mathematics) the set of values of the dependent variable for which a function is defined; "the image of f(x) = x^2 is the set of all non-negati…
Rationalisationnoun(mathematics) the simplification of an expression or equation by eliminating radicals without changing the value of the expression or the roots…
Rationalizationnoun(mathematics) the simplification of an expression or equation by eliminating radicals without changing the value of the expression or the roots…
Raynoun(mathematics) a straight line extending from a point
Reciprocalnoun(mathematics) one of a pair of numbers whose product is 1: the reciprocal of 2/3 is 3/2; the multiplicative inverse of 7 is 1/7
Recursionnoun(mathematics) an expression such that each term is generated by repeating a particular mathematical operation; also, the repeated application or…
Recursive definitionnoun(mathematics) a definition of a function from which values of the function can be calculated in a finite number of steps
Reflectionnoun(mathematics) a transformation in which the direction of one axis is reversed
Reflexivenessnoun(logic and mathematics) a relation such that it holds between an element and itself
Reflexivitynoun(logic and mathematics) a relation such that it holds between an element and itself
Riemannian geometrynoun(mathematics) a non-Euclidean geometry that regards space as like a sphere and a line as like a great circle; "Bernhard Riemann pioneered ellipt…
Rotationnoun(mathematics) a transformation in which the coordinate axes are rotated by a fixed angle about the origin
Roundadjective(mathematics) expressed to the nearest integer, ten, hundred, or thousand; "in round numbers"
Roundingnoun(mathematics) a miscalculation that results from rounding off numbers to a convenient number of decimals; "the error in the calculation was attr…
Rounding errornoun(mathematics) a miscalculation that results from rounding off numbers to a convenient number of decimals; "the error in the calculation was attr…
Rulenoun(mathematics) a standard procedure for solving a class of mathematical problems; "he determined the upper bound with Descartes' rule of signs";…
Samplingnoun(statistics) the selection of a suitable sample for study
Seriesnoun(mathematics) the sum of a finite or infinite sequence of expressions
Setnoun(mathematics) an abstract collection of numbers or symbols; "the set of prime numbers is infinite"
Sheetnoun(mathematics) an unbounded two-dimensional shape; "we will refer to the plane of the graph as the X-Y plane"; "any line joining two points on a…
Single-valued functionnoun(mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of anothe…
Spherical geometrynoun(mathematics) the geometry of figures on the surface of a sphere
Spherical trigonometrynoun(mathematics) the trigonometry of spherical triangles
Statistical distributionnoun(statistics) an arrangement of values of a variable showing their observed or theoretical frequency of occurrence
Subgroupnoun(mathematics) a subset (that is not empty) of a mathematical group
Symmetricalnessnoun(mathematics) an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane
Symmetrynoun(mathematics) an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane
Topological spacenoun(mathematics) any set of points that satisfy a set of postulates of some kind; "assume that the topological space is finite dimensional"
Transformationnoun(mathematics) a function that changes the position or direction of the axes of a coordinate system
Transitivitynoun(logic and mathematics) a relation between three elements such that if it holds between the first and second and it also holds between the secon…
Translationnoun(mathematics) a transformation in which the origin of the coordinate system is moved to another position but the direction of each axis remains…
Transpositionnoun(mathematics) the transfer of a quantity from one side of an equation to the other along with a change of sign
Truncation errornoun(mathematics) a miscalculation that results from cutting off a numerical calculation before it is finished
Universal setnoun(mathematics) the set that contains all the elements or objects involved in the problem under consideration; "all other sets are subsets of the…
