HyperDic: math

English > 1 sense of the word math:
NOUNcognitionmath, mathematics, mathsa science (or group of related sciences) dealing with the logic / logic of quantity and shape and arrangement
math > pronunciation
Soundsmae'th
Rhymesaftermath ... wrath: 12 rhymes with aeth...
English > math: 1 sense > noun 1, cognition
MeaningA science (or group of related sciences) dealing with the logic / logic of quantity and shape and arrangement.
Synonymsmathematics, maths
Category ofEuclid's axiom, Euclid's postulate, Euclidean axiom(mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry
Galois theorygroup theory applied to the solution of algebraic equations
accuracy(mathematics) the number of significant figures given in a number
additive inverse(mathematics) one of a pair of numbers whose sum is zero
affine(mathematics) of or pertaining to the geometry of affine transformations
affine geometryThe geometry of affine transformations
affine transformation(mathematics) a transformation that is a combination of single transformations such as translation or rotation or reflection on an axis
algebraThe mathematics of generalized arithmetical operations
analysisA branch of mathematics involving calculus and the theory of limits
analyticUsing or subjected to a methodology using algebra and calculus
analytic geometry, analytical geometry, coordinate geometryThe use of algebra to study geometric properties
arithmeticThe branch of pure mathematics dealing with the theory of numerical calculations
arithmetic progression(mathematics) a progression in which a constant is added to each term in order to obtain the next term
asymmetry, dissymmetry, imbalance(mathematics) a lack of symmetry / symmetry
bilinearlinear with respect to each of two variables or positions
binomialOf or relating to or consisting of two terms
binomial(mathematics) a quantity expressed as a sum or difference of two terms
biquadraticOf or relating to the fourth power
bivariateHaving two variables
boundary condition(mathematics) a condition specified for the solution to a set of differential equations
calculate, cipher, cypher, compute, work out, reckon, figuremake a mathematical calculation or computation
calculus, infinitesimal calculusThe branch of mathematics that is concerned with limits and with the differentiation and integration of functions
calculus of variationsThe calculus of maxima and minima of definite integrals
cardinality(mathematics) the number of elements in a set or group (considered as a property of that grouping)
closed(set theory) of an interval that contains both its endpoints
combinatorialrelating to the combination and arrangement of elements in sets
commutative(of a binary operation) independent of order
commute, transposeExchange positions without a change in value
complex number, complex quantity, imaginary number, imaginary(mathematics) a number of the form a+bi where a and b are real numbers and i is the square root of -1
continuousOf a function or curve
convergeapproach a limit as the number of terms increases without limit
cubicInvolving the cube and no higher power of a quantity or variable
developExpand in the form of a series
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
diagonalizablecapable of being transformed into a diagonal matrix
differentialInvolving or containing one or more derivatives
differential calculus, method of fluxionsThe 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
differentiatecalculate a derivative
directSimilar in nature or effect or relation to another quantity
discontinuousOf a function or curve
disjointHaving no elements in common
divergeHave no limits as a mathematical series
dividableCan be divided usually without leaving a remainder
domain, domain of a function(mathematics) the set of values of the independent variable for which a function is defined
elementary geometry, parabolic geometry, Euclidean geometry(mathematics) geometry based on Euclid's axioms
eliminateRemove (an unknown variable) from two or more equations
elliptic geometry, Riemannian geometry(mathematics) a non-Euclidean geometry that regards space as like a sphere and a line as like a great circle
equationA mathematical statement that two expressions are equal
expansionA function expressed as a sum or product of terms
extractcalculate the root / root of a number
extrapolation(mathematics) calculation of the value of a function outside the range of known values
factorization, factorisation, factoring(mathematics) the resolution of an entity into factors such that when multiplied together they give the original entity
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
formula, expressionA group of symbols that make a mathematical statement
fractal(mathematics) a geometric pattern that is repeated at every scale and so cannot be represented by classical geometry
fractal geometry(mathematics) the geometry of fractals
function, mathematical function, single-valued function, map, mapping(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)
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)
geometric progression(mathematics) a progression in which each term is multiplied by a constant in order to obtain the next term
geometryThe pure mathematics of points and lines and curves and surfaces
group theoryThe branch of mathematics dealing with groups
harmonic progression(mathematics) a progression of terms whose reciprocals form an arithmetic progression
hyperbolic geometry(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 or more lines that do not intersect a given line in the plane
idempotentunchanged in value following multiplication by itself
image, range, range of a function(mathematics) the set of values of the dependent variable for which a function is defined
indeterminatenot capable of being determined
infinitesimal(mathematics) a variable that has zero as its limit
integral calculusThe part of calculus that deals with integration and its application in the solution of differential equations and in determining areas or volumes etc.
integratecalculate the integral of
interpolate, extrapolateEstimate the value of
interpolation(mathematics) calculation of the value of a function between the values already known
invarianceThe nature of a quantity or property or function that remains unchanged when a given transformation is applied to it
invariantunaffected by a designated operation or transformation
invariantA feature (quantity or property or function) that remains unchanged when a particular transformation is applied to it
inverseOpposite in nature or effect or relation to another quantity
irrationalReal but not expressible as the quotient of two integers
isometricrelated by an isometry
iterateRun or be performed again
linear, additiveDesignating or involving an equation whose terms are of the first degree
linear algebraThe part of algebra that deals with the theory of linear equations and linear transformation
lower bound(mathematics) a number equal to or less than any other number in a given set
mathematicalCharacterized by the exactness or precision of mathematics
mathematical process, mathematical operation, operation(mathematics) calculation by mathematical methods
mathematical relationA relation between mathematical expressions (such as equality or inequality)
mathematical space, topological space(mathematics) any set of points that satisfy a set of postulates of some kind
mathematical statementA statement of a mathematical relation
mathematicianA person skilled in mathematics
matrix(mathematics) a rectangular array of quantities or expressions set out by rows and columns
matrix algebraThe part of algebra that deals with the theory of matrices
metamathematicsThe logical analysis of mathematical reasoning
metric function, metricA function of a topological space that gives, for any two points in the space, a value equal to the distance between them
monotonic, monotoneOf a sequence or function
multiplicative inverse, reciprocal(mathematics) one of a pair of numbers whose product is 1
negativeless than zero
non-Euclidean geometry(mathematics) geometry based on axioms different from Euclid's
noninterchangeableSuch that the terms of an expression cannot be interchanged without changing the meaning / meaning
nonlinearDesignating or involving an equation whose terms are not of the first degree
nonmonotonicnot monotonic
nonnegativeEither positive or zero
numerical analysis(mathematics) the branch of mathematics that studies algorithms for approximating solutions to problems in the infinitesimal calculus
open(set theory) of an interval that contains neither of its endpoints
operator(mathematics) a symbol or function representing a mathematical operation
osculateHave at least three points in common with
osculation(mathematics) a contact of two curves (or two surfaces) at which they have a common tangent
parallel(mathematics) one of a set of parallel geometric figures (parallel lines or planes)
parity(mathematics) a relation between a pair of integers
plane, sheet(mathematics) an unbounded two-dimensional shape
plane geometryThe geometry of 2-dimensional figures
polynomial, multinomialA mathematical function that is the sum of a number of terms
positiveGreater than zero
primeOf or relating to or being an integer that cannot be factored into other integers
projective geometry, descriptive geometryThe geometry of properties that remain invariant under projection
proofA formal series of statements showing that if one thing is true something else necessarily follows from it
proveprove formally
quadraticOf or relating to or resembling a square
quadraticsA branch of algebra dealing with quadratic equations
quantityThe concept that something has a magnitude and can be represented in mathematical expressions by a constant or a variable
radical(mathematics) a quantity expressed as the root of another quantity
rationalcapable of being expressed as a quotient of integers
rationalization, rationalisation(mathematics) the simplification of an expression or equation by eliminating radicals without changing the value of the expression or the roots of the equation
rationalize, rationaliseRemove irrational quantities from
ray(mathematics) a straight line extending from a point
recursion(mathematics) an expression such that each term is generated by repeating a particular mathematical operation
recursive definition(mathematics) a definition of a function from which values of the function can be calculated in a finite number of steps
reducesimplify the form of a mathematical equation of expression by substituting one term for another
reflection(mathematics) a transformation in which the direction of one axis is reversed
reflexivity, reflexiveness(logic and mathematics) a relation such that it holds between an element and itself
representableexpressible in symbolic form
rotation(mathematics) a transformation in which the coordinate axes are rotated by a fixed angle about the origin
round(mathematics) expressed to the nearest integer, ten, hundred, or thousand
rounding, rounding error(mathematics) a miscalculation that results from rounding off numbers / numbers to a convenient number of decimals
rule, formula(mathematics) a standard procedure for solving a class of mathematical problems
scaleneOf a triangle having three sides of different lengths
series(mathematics) the sum of a finite or infinite sequence of expressions
set(mathematics) an abstract collection of numbers or symbols
set theoryThe branch of pure mathematics that deals with the nature and relations of sets
solidHaving three dimensions
solid geometryThe geometry of 3-dimensional space
spherical geometry(mathematics) the geometry of figures on the surface of a sphere
spherical trigonometry(mathematics) the trigonometry of spherical triangles
subgroup(mathematics) a subset (that is not empty) of a mathematical group
symmetry, symmetricalness, correspondence, balance(mathematics) an attribute of a shape or relation
topology, analysis situsThe 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 one-to-one correspondence that is continuous in both directions
transformation(mathematics) a function that changes the position or direction of the axes of a coordinate system
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
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
trigonometry, trigThe mathematics of triangles and trigonometric functions
truncateApproximate by ignoring all terms beyond a chosen one
truncation error(mathematics) a miscalculation that results from cutting off a numerical calculation before it is finished
undividable, indivisible byCannot be divided without leaving a remainder
universal set(mathematics) the set that contains all the elements or objects involved in the problem under consideration
upper bound(mathematics) a number equal to or greater than any other number in a given set
vector algebraThe part of algebra that deals with the theory of vectors and vector spaces
Categoryscience, scientific disciplineA particular branch of scientific knowledge
Narrowerapplied mathematics, applied mathThe branches of mathematics that are involved in the study of the physical or biological or sociological world
pure mathematicsThe branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness
Broaderscience, scientific disciplineA particular branch of scientific knowledge
Spanishciencias exactas, matemática, matemáticas, matemático, mates
Catalanciències exactes, matemàtica, matemàtiques

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