math
Noun

A science (or group of related sciences) dealing with the logic of quantity and shape and arrangement (synset 106009822)
domain category: science, scientific discipline  a particular branch of scientific knowledgedomain member category:
 rounding, rounding error  (mathematics) a miscalculation that results from rounding off numbers to a convenient number of decimals
 truncation error  (mathematics) a miscalculation that results from cutting off a numerical calculation before it is finished
 mathematical operation, mathematical process, operation  (mathematics) calculation by mathematical methods
 rationalisation, rationalization  (mathematics) the simplification of an expression or equation by eliminating radicals without changing the value of the expression or the roots of the equation
 invariance  the nature of a quantity or property or function that remains unchanged when a given transformation is applied to it
 accuracy  (mathematics) the number of significant figures given in a number
 balance, correspondence, symmetricalness, symmetry  (mathematics) an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane
 asymmetry, dissymmetry, imbalance  (mathematics) a lack of symmetry
 factoring, factorisation, factorization  (mathematics) the resolution of an expression into factors such that when multiplied together they give the original expression
 extrapolation  (mathematics) calculation of the value of a function outside the range of known values
 interpolation  (mathematics) calculation of the value of a function between the values already known
 formula, rule  (mathematics) a standard procedure for solving a class of mathematical problems
 recursion  (mathematics) an expression such that each term is generated by repeating a particular mathematical operation
 invariant  a feature (quantity or property or function) that remains unchanged when a particular transformation is applied to it
 quantity  the concept that something has a magnitude and can be represented in mathematical expressions by a constant or a variable
 multinomial, polynomial  a mathematical function that is the sum of a number of terms
 series  (mathematics) the sum of a finite or infinite sequence of expressions
 infinitesimal  (mathematics) a variable that has zero as its limit
 fractal  (mathematics) a geometric pattern that is repeated at every scale and so cannot be represented by classical geometry
 arithmetic  the branch of pure mathematics dealing with the theory of numerical calculations
 geometry  the pure mathematics of points and lines and curves and surfaces
 affine geometry  the geometry of affine transformations
 elementary geometry, euclidean geometry, parabolic geometry  (mathematics) geometry based on Euclid's axioms
 euclid's axiom, euclid's postulate, euclidean axiom  (mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry
 fractal geometry  (mathematics) the geometry of fractals
 noneuclidean geometry  (mathematics) geometry based on axioms different from Euclid's
 hyperbolic geometry  (mathematics) a nonEuclidean geometry in which the parallel axiom is replaced by the assumption that through any point in a plane there are two or more lines that do not intersect a given line in the plane
 elliptic geometry, riemannian geometry  (mathematics) a nonEuclidean geometry that regards space as like a sphere and a line as like a great circle
 numerical analysis  (mathematics) the branch of mathematics that studies algorithms for approximating solutions to problems in the infinitesimal calculus
 spherical geometry  (mathematics) the geometry of figures on the surface of a sphere
 spherical trigonometry  (mathematics) the trigonometry of spherical triangles
 analytic geometry, analytical geometry, coordinate geometry  the use of algebra to study geometric properties; operates on symbols defined in a coordinate system
 plane geometry  the geometry of 2dimensional figures
 solid geometry  the geometry of 3dimensional space
 descriptive geometry, projective geometry  the geometry of properties that remain invariant under projection
 trig, trigonometry  the mathematics of triangles and trigonometric functions
 algebra  the mathematics of generalized arithmetical operations
 quadratics  a branch of algebra dealing with quadratic equations
 linear algebra  the part of algebra that deals with the theory of linear equations and linear transformation
 vector algebra  the part of algebra that deals with the theory of vectors and vector spaces
 matrix algebra  the part of algebra that deals with the theory of matrices
 calculus, infinitesimal calculus  the branch of mathematics that is concerned with limits and with the differentiation and integration of functions
 analysis  a branch of mathematics involving calculus and the theory of limits; sequences and series and integration and differentiation
 differential calculus, method of fluxions  the part of calculus that deals with the variation of a function with respect to changes in the independent variable (or variables) by means of the concepts of derivative and differential
 integral calculus  the part of calculus that deals with integration and its application in the solution of differential equations and in determining areas or volumes etc.
 calculus of variations  the calculus of maxima and minima of definite integrals
 set theory  the branch of pure mathematics that deals with the nature and relations of sets
 subgroup  (mathematics) a subset (that is not empty) of a mathematical group
 group theory  the branch of mathematics dealing with groups
 galois theory  group theory applied to the solution of algebraic equations
 analysis situs, topology  the branch of pure mathematics that deals only with the properties of a figure X that hold for every figure into which X can be transformed with a onetoone correspondence that is continuous in both directions
 metamathematics  the logical analysis of mathematical reasoning
 binomial  (mathematics) a quantity expressed as a sum or difference of two terms; a polynomial with two terms
 proof  a formal series of statements showing that if one thing is true something else necessarily follows from it
 equation  a mathematical statement that two expressions are equal
 expression, formula  a group of symbols that make a mathematical statement
 mathematical statement  a statement of a mathematical relation
 recursive definition  (mathematics) a definition of a function from which values of the function can be calculated in a finite number of steps
 boundary condition  (mathematics) a condition specified for the solution to a set of differential equations
 set  (mathematics) an abstract collection of numbers or symbols
 domain, domain of a function  (mathematics) the set of values of the independent variable for which a function is defined
 image, range, range of a function  (mathematics) the set of values of the dependent variable for which a function is defined
 universal set  (mathematics) the set that contains all the elements or objects involved in the problem under consideration
 mathematical space, topological space  (mathematics) any set of points that satisfy a set of postulates of some kind
 field  (mathematics) a set of elements such that addition and multiplication are commutative and associative and multiplication is distributive over addition and there are two elements 0 and 1
 matrix  (mathematics) a rectangular array of quantities or expressions set out by rows and columns; treated as a single element and manipulated according to rules
 diagonal  (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 right to lower left entry
 arithmetic progression  (mathematics) a progression in which a constant is added to each term in order to obtain the next term
 geometric progression  (mathematics) a progression in which each term is multiplied by a constant in order to obtain the next term
 harmonic progression  (mathematics) a progression of terms whose reciprocals form an arithmetic progression
 mathematician  a person skilled in mathematics
 cardinality  (mathematics) the number of elements in a set or group (considered as a property of that grouping)
 complex number, complex quantity, imaginary, imaginary number  (mathematics) a number of the form a+bi where a and b are real numbers and i is the square root of 1
 radical  (mathematics) a quantity expressed as the root of another quantity
 mathematical relation  a relation between mathematical expressions (such as equality or inequality)
 function, map, mapping, mathematical function, singlevalued function  (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)
 expansion  a function expressed as a sum or product of terms
 metric, metric function  a function of a topological space that gives, for any two points in the space, a value equal to the distance between them
 transformation  (mathematics) a function that changes the position or direction of the axes of a coordinate system
 reflection  (mathematics) a transformation in which the direction of one axis is reversed
 rotation  (mathematics) a transformation in which the coordinate axes are rotated by a fixed angle about the origin
 translation  (mathematics) a transformation in which the origin of the coordinate system is moved to another position but the direction of each axis remains the same
 affine transformation  (mathematics) a transformation that is a combination of single transformations such as translation or rotation or reflection on an axis
 operator  (mathematics) a symbol or function representing a mathematical operation
 parity  (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 other is even they have different parity
 transitivity  (logic and mathematics) a relation between three elements such that if it holds between the first and second and it also holds between the second and third it must necessarily hold between the first and third
 reflexiveness, reflexivity  (logic and mathematics) a relation such that it holds between an element and itself
 additive inverse  (mathematics) one of a pair of numbers whose sum is zero; the additive inverse of 5 is +5
 multiplicative inverse, reciprocal  (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
 plane, sheet  (mathematics) an unbounded twodimensional shape
 geodesic, geodesic line  (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 circle on a sphere)
 parallel  (mathematics) one of a set of parallel geometric figures (parallel lines or planes)
 upper bound  (mathematics) a number equal to or greater than any other number in a given set
 lower bound  (mathematics) a number equal to or less than any other number in a given set
 ray  (mathematics) a straight line extending from a point
 osculation  (mathematics) a contact of two curves (or two surfaces) at which they have a common tangent
 develop  expand in the form of a series
 iterate  run or be performed again
 commute, transpose  exchange positions without a change in value
 rationalise, rationalize  remove irrational quantities from
 eliminate  remove (an unknown variable) from two or more equations
 calculate, cipher, compute, cypher, figure, reckon, work out  make a mathematical calculation or computation
 extract  calculate the root of a number
 extrapolate, interpolate  estimate the value of
 differentiate  calculate a derivative; take the derivative
 integrate  calculate the integral of; calculate by integration
 prove  prove formally; demonstrate by a mathematical, formal proof
 truncate  approximate by ignoring all terms beyond a chosen one
 reduce  simplify the form of a mathematical equation of expression by substituting one term for another
 converge  approach a limit as the number of terms increases without limit
 diverge  have no limits as a mathematical series
 osculate  have at least three points in common with
 idempotent  unchanged in value following multiplication by itself
 combinatorial  relating to the combination and arrangement of elements in sets
 continuous  of a function or curve; extending without break or irregularity
 discontinuous  of a function or curve; possessing one or more discontinuities
 solid  having three dimensions
 commutative  (of a binary operation) independent of order; as in e.g.
 indeterminate  (of a quantity) having no definite value, as an equation that cannot be solved
 direct  similar in nature or effect or relation to another quantity
 inverse  opposite in nature or effect or relation to another quantity
 dividable  can be divided usually without leaving a remainder
 indivisible by, undividable  cannot be divided without leaving a remainder
 mathematical  characterized by the exactness or precision of mathematics
 round  (mathematics) expressed to the nearest integer, ten, hundred, or thousand
 representable  expressible in symbolic form
 additive, linear  designating or involving an equation whose terms are of the first degree
 bilinear  linear with respect to each of two variables or positions
 nonlinear  designating or involving an equation whose terms are not of the first degree
 monotone, monotonic  of a sequence or function; consistently increasing and never decreasing or consistently decreasing and never increasing in value
 nonmonotonic  not monotonic
 open  (set theory) of an interval that contains neither of its endpoints
 closed  (set theory) of an interval that contains both its endpoints
 nonnegative  either positive or zero
 positive  greater than zero
 negative  less than zero
 disjoint  having no elements in common
 noninterchangeable  such that the terms of an expression cannot be interchanged without changing the meaning
 invariant  unaffected by a designated operation or transformation
 affine  (mathematics) of or pertaining to the geometry of affine transformations
 analytic  using or subjected to a methodology using algebra and calculus
 diagonalizable  capable of being transformed into a diagonal matrix
 scalene  of a triangle having three sides of different lengths
 isometric  related by an isometry
 differential  involving or containing one or more derivatives
 rational  capable of being expressed as a quotient of integers
 irrational  real but not expressible as the quotient of two integers
 prime  of or relating to or being an integer that cannot be factored into other integers
 binomial  of or relating to or consisting of two terms
 bivariate  having two variables
 cubic  involving the cube and no higher power of a quantity or variable
 quadratic  involving the second and no higher power of a quantity or degree
 biquadratic  involving the fourth and no higher power of a quantity or degree
hypernym: science, scientific discipline  a particular branch of scientific knowledgehyponym: pure mathematics  the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness
 applied math, applied mathematics  the branches of mathematics that are involved in the study of the physical or biological or sociological world
synonym: mathematics, maths
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