# Definitions and Synonyms of *mathematics* | Another word for *mathematics* | What is *mathematics? *

*Definition 1: a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement - [noun denoting cognition]*

*Synonyms for mathematics in the sense of this definition*

*(mathematics* belongs to category ...) a particular branch of scientific knowledge

*"the science of genetics"*

### (... is a kind of *mathematics* ) the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness

### (... is a kind of *mathematics* ) the branches of mathematics that are involved in the study of the physical or biological or sociological world

### (mathematics is the domain which ... is member of) (mathematics) a miscalculation that results from rounding off numbers to a convenient number of decimals

*"the error in the calculation was attributable to rounding"*

*"taxes are rounded off to the nearest dollar but the rounding error is surprisingly small"*

### (mathematics is the domain which ... is member of) (mathematics) a miscalculation that results from cutting off a numerical calculation before it is finished

### (mathematics is the domain which ... is member of) (mathematics) calculation by mathematical methods

*"the problems at the end of the chapter demonstrated the mathematical processes involved in the derivation"*

*"they were learning the basic operations of arithmetic"*

### (mathematics is the domain which ... is member of) (mathematics) the simplification of an expression or equation by eliminating radicals without changing the value of the expression or the roots of the equation

### (mathematics is the domain which ... is member of) the nature of a quantity or property or function that remains unchanged when a given transformation is applied to it

*"the invariance of the configuration under translation"*

### (mathematics is the domain which ... is member of) (mathematics) the number of significant figures given in a number

*"the atomic clock enabled scientists to measure time with much greater accuracy"*

### (mathematics is the domain which ... is member of) (mathematics) an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane

### (mathematics is the domain which ... is member of) (mathematics) a lack of symmetry

### (mathematics is the domain which ... is member of) (mathematics) the resolution of an expression into factors such that when multiplied together they give the original expression

### (mathematics is the domain which ... is member of) (mathematics) calculation of the value of a function outside the range of known values

### (mathematics is the domain which ... is member of) (mathematics) calculation of the value of a function between the values already known

### (mathematics is the domain which ... is member of) (mathematics) a standard procedure for solving a class of mathematical problems

*"he determined the upper bound with Descartes' rule of signs"*

*"he gave us a general formula for attacking polynomials"*

### (mathematics is the domain which ... is member of) (mathematics) an expression such that each term is generated by repeating a particular mathematical operation

### (mathematics is the domain which ... is member of) a feature (quantity or property or function) that remains unchanged when a particular transformation is applied to it

### (mathematics is the domain which ... is member of) the concept that something has a magnitude and can be represented in mathematical expressions by a constant or a variable

### (mathematics is the domain which ... is member of) a mathematical function that is the sum of a number of terms

### (mathematics is the domain which ... is member of) (mathematics) the sum of a finite or infinite sequence of expressions

### (mathematics is the domain which ... is member of) (mathematics) a variable that has zero as its limit

### (mathematics is the domain which ... is member of) (mathematics) a geometric pattern that is repeated at every scale and so cannot be represented by classical geometry

### (mathematics is the domain which ... is member of) the branch of pure mathematics dealing with the theory of numerical calculations

### (mathematics is the domain which ... is member of) the pure mathematics of points and lines and curves and surfaces

### (mathematics is the domain which ... is member of) the geometry of affine transformations

### (mathematics is the domain which ... is member of) (mathematics) geometry based on Euclid's axioms

### (mathematics is the domain which ... is member of) (mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry

### (mathematics is the domain which ... is member of) (mathematics) the geometry of fractals

*"Benoit Mandelbrot pioneered fractal geometry"*

### (mathematics is the domain which ... is member of) (mathematics) geometry based on axioms different from Euclid's

*"non-Euclidean geometries discard or replace one or more of the Euclidean axioms"*

### (mathematics is the domain which ... is member of) (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

*"Karl Gauss pioneered hyperbolic geometry"*

### (mathematics is the domain which ... is member of) (mathematics) a non-Euclidean geometry that regards space as like a sphere and a line as like a great circle

*"Bernhard Riemann pioneered elliptic geometry"*

### (mathematics is the domain which ... is member of) (mathematics) the branch of mathematics that studies algorithms for approximating solutions to problems in the infinitesimal calculus

### (mathematics is the domain which ... is member of) (mathematics) the geometry of figures on the surface of a sphere

### (mathematics is the domain which ... is member of) (mathematics) the trigonometry of spherical triangles

### (mathematics is the domain which ... is member of) the use of algebra to study geometric properties; operates on symbols defined in a coordinate system

### (mathematics is the domain which ... is member of) the geometry of 2-dimensional figures

### (mathematics is the domain which ... is member of) the geometry of 3-dimensional space

### (mathematics is the domain which ... is member of) the geometry of properties that remain invariant under projection

### (mathematics is the domain which ... is member of) the mathematics of triangles and trigonometric functions

### (mathematics is the domain which ... is member of) the mathematics of generalized arithmetical operations

### (mathematics is the domain which ... is member of) a branch of algebra dealing with quadratic equations

### (mathematics is the domain which ... is member of) the part of algebra that deals with the theory of linear equations and linear transformation

### (mathematics is the domain which ... is member of) the part of algebra that deals with the theory of vectors and vector spaces

### (mathematics is the domain which ... is member of) the part of algebra that deals with the theory of matrices

### (mathematics is the domain which ... is member of) the branch of mathematics that is concerned with limits and with the differentiation and integration of functions

### (mathematics is the domain which ... is member of) a branch of mathematics involving calculus and the theory of limits; sequences and series and integration and differentiation

### (mathematics is the domain which ... is member of) 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

### (mathematics is the domain which ... is member of) the part of calculus that deals with integration and its application in the solution of differential equations and in determining areas or volumes etc.

### (mathematics is the domain which ... is member of) the calculus of maxima and minima of definite integrals

### (mathematics is the domain which ... is member of) the branch of pure mathematics that deals with the nature and relations of sets

### (mathematics is the domain which ... is member of) (mathematics) a subset (that is not empty) of a mathematical group

### (mathematics is the domain which ... is member of) the branch of mathematics dealing with groups

### (mathematics is the domain which ... is member of) group theory applied to the solution of algebraic equations

### (mathematics is the domain which ... is member of) 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 one-to-one correspondence that is continuous in both directions

### (mathematics is the domain which ... is member of) the logical analysis of mathematical reasoning

### (mathematics is the domain which ... is member of) (mathematics) a quantity expressed as a sum or difference of two terms; a polynomial with two terms

### (mathematics is the domain which ... is member of) a formal series of statements showing that if one thing is true something else necessarily follows from it

### (mathematics is the domain which ... is member of) a mathematical statement that two expressions are equal

### (mathematics is the domain which ... is member of) a group of symbols that make a mathematical statement

### (mathematics is the domain which ... is member of) a statement of a mathematical relation

### (mathematics is the domain which ... is member of) (mathematics) a definition of a function from which values of the function can be calculated in a finite number of steps

### (mathematics is the domain which ... is member of) (mathematics) a condition specified for the solution to a set of differential equations

### (mathematics is the domain which ... is member of) (mathematics) an abstract collection of numbers or symbols

*"the set of prime numbers is infinite"*

### (mathematics is the domain which ... is member of) (mathematics) the set of values of the independent variable for which a function is defined

### (mathematics is the domain which ... is member of) (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-negative real numbers if the domain of the function is the set of all real numbers"*

### (mathematics is the domain which ... is member of) (mathematics) the set that contains all the elements or objects involved in the problem under consideration

*"all other sets are subsets of the universal set"*

### (mathematics is the domain which ... is member of) (mathematics) any set of points that satisfy a set of postulates of some kind

*"assume that the topological space is finite dimensional"*

### (mathematics is the domain which ... is member of) (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

*"the set of all rational numbers is a field"*

### (mathematics is the domain which ... is member of) (mathematics) a rectangular array of quantities or expressions set out by rows and columns; treated as a single element and manipulated according to rules

### (mathematics is the domain which ... is member of) (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

### (mathematics is the domain which ... is member of) (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 arithmetic progression"*

### (mathematics is the domain which ... is member of) (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 geometric progression"*

### (mathematics is the domain which ... is member of) (mathematics) a progression of terms whose reciprocals form an arithmetic progression

### (mathematics is the domain which ... is member of) a person skilled in mathematics

### (mathematics is the domain which ... is member of) (mathematics) the number of elements in a set or group (considered as a property of that grouping)

### (mathematics is the domain which ... is member of) (mathematics) a number of the form a+bi where a and b are real numbers and i is the square root of -1

### (mathematics is the domain which ... is member of) (mathematics) a quantity expressed as the root of another quantity

### (mathematics is the domain which ... is member of) a relation between mathematical expressions (such as equality or inequality)

### (mathematics is the domain which ... is member of) (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)

### (mathematics is the domain which ... is member of) a function expressed as a sum or product of terms

*"the expansion of (a+b)^2 is a^2 + 2ab + b^2"*

### (mathematics is the domain which ... is member of) a function of a topological space that gives, for any two points in the space, a value equal to the distance between them

### (mathematics is the domain which ... is member of) (mathematics) a function that changes the position or direction of the axes of a coordinate system

### (mathematics is the domain which ... is member of) (mathematics) a transformation in which the direction of one axis is reversed

### (mathematics is the domain which ... is member of) (mathematics) a transformation in which the coordinate axes are rotated by a fixed angle about the origin

### (mathematics is the domain which ... is member of) (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

### (mathematics is the domain which ... is member of) (mathematics) a transformation that is a combination of single transformations such as translation or rotation or reflection on an axis

### (mathematics is the domain which ... is member of) (mathematics) a symbol or function representing a mathematical operation

### (mathematics is the domain which ... is member of) (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

*"parity is often used to check the integrity of transmitted data"*

### (mathematics is the domain which ... is member of) (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

### (mathematics is the domain which ... is member of) (logic and mathematics) a relation such that it holds between an element and itself

### (mathematics is the domain which ... is member of) (mathematics) one of a pair of numbers whose sum is zero; the additive inverse of -5 is +5

### (mathematics is the domain which ... is member of) (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

### (mathematics is the domain which ... is member of) (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 plane lies wholly on that plane"*

### (mathematics is the domain which ... is member of) (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)

### (mathematics is the domain which ... is member of) (mathematics) one of a set of parallel geometric figures (parallel lines or planes)

*"parallels never meet"*

### (mathematics is the domain which ... is member of) (mathematics) a number equal to or greater than any other number in a given set

### (mathematics is the domain which ... is member of) (mathematics) a number equal to or less than any other number in a given set

### (mathematics is the domain which ... is member of) (mathematics) a straight line extending from a point

### (mathematics is the domain which ... is member of) (mathematics) a contact of two curves (or two surfaces) at which they have a common tangent

### (mathematics is the domain which ... is member of) expand in the form of a series

*"Develop the function in the following form"*

### (mathematics is the domain which ... is member of) run or be performed again

*"the function iterates"*

### (mathematics is the domain which ... is member of) exchange positions without a change in value

*"These operators commute with each other"*

### (mathematics is the domain which ... is member of) remove irrational quantities from

*"This function can be rationalized"*

### (mathematics is the domain which ... is member of) remove (an unknown variable) from two or more equations

### (mathematics is the domain which ... is member of) make a mathematical calculation or computation

### (mathematics is the domain which ... is member of) calculate the root of a number

### (mathematics is the domain which ... is member of) estimate the value of

### (mathematics is the domain which ... is member of) calculate a derivative; take the derivative

### (mathematics is the domain which ... is member of) calculate the integral of; calculate by integration

### (mathematics is the domain which ... is member of) prove formally; demonstrate by a mathematical, formal proof

### (mathematics is the domain which ... is member of) approximate by ignoring all terms beyond a chosen one

*"truncate a series"*

### (mathematics is the domain which ... is member of) simplify the form of a mathematical equation of expression by substituting one term for another

### (mathematics is the domain which ... is member of) approach a limit as the number of terms increases without limit

### (mathematics is the domain which ... is member of) have no limits as a mathematical series

### (mathematics is the domain which ... is member of) have at least three points in common with

*"one curve osculates the other"*

*"these two surfaces osculate"*

### (mathematics is the domain which ... is member of) unchanged in value following multiplication by itself

*"this matrix is idempotent"*

### (mathematics is the domain which ... is member of) relating to the combination and arrangement of elements in sets

### (mathematics is the domain which ... is member of) of a function or curve; extending without break or irregularity

### (mathematics is the domain which ... is member of) of a function or curve; possessing one or more discontinuities

### (mathematics is the domain which ... is member of) having three dimensions

*"a cube is a solid figure with six sides"*

### (mathematics is the domain which ... is member of) (of a binary operation) independent of order; as in e.g.

*"a x b = b x a"*

### (mathematics is the domain which ... is member of) (of a quantity) having no definite value, as an equation that cannot be solved

*"0/0 is an indeterminate form"*

### (mathematics is the domain which ... is member of) similar in nature or effect or relation to another quantity

*"a term is in direct proportion to another term if it increases (or decreases) as the other increases (or decreases)"*

### (mathematics is the domain which ... is member of) opposite in nature or effect or relation to another quantity

*"a term is in inverse proportion to another term if it increases (or decreases) as the other decreases (or increases)"*

### (mathematics is the domain which ... is member of) can be divided usually without leaving a remainder

*"15 is dividable by 3"*

### (mathematics is the domain which ... is member of) cannot be divided without leaving a remainder

### (mathematics is the domain which ... is member of) characterized by the exactness or precision of mathematics

*"mathematical precision"*

### (mathematics is the domain which ... is member of) (mathematics) expressed to the nearest integer, ten, hundred, or thousand

*"in round numbers"*

### (mathematics is the domain which ... is member of) expressible in symbolic form

*"uniquely representable in the form..."*

### (mathematics is the domain which ... is member of) designating or involving an equation whose terms are of the first degree

### (mathematics is the domain which ... is member of) linear with respect to each of two variables or positions

### (mathematics is the domain which ... is member of) designating or involving an equation whose terms are not of the first degree

### (mathematics is the domain which ... is member of) of a sequence or function; consistently increasing and never decreasing or consistently decreasing and never increasing in value

### (mathematics is the domain which ... is member of) not monotonic

### (mathematics is the domain which ... is member of) (set theory) of an interval that contains neither of its endpoints

### (mathematics is the domain which ... is member of) (set theory) of an interval that contains both its endpoints

### (mathematics is the domain which ... is member of) either positive or zero

### (mathematics is the domain which ... is member of) greater than zero

*"positive numbers"*

### (mathematics is the domain which ... is member of) less than zero

*"a negative number"*

### (mathematics is the domain which ... is member of) having no elements in common

### (mathematics is the domain which ... is member of) such that the terms of an expression cannot be interchanged without changing the meaning

*"the arguments of the symmetric relation, `is the father of', are noninterchangeable"*

### (mathematics is the domain which ... is member of) unaffected by a designated operation or transformation

### (mathematics is the domain which ... is member of) (mathematics) of or pertaining to the geometry of affine transformations

### (mathematics is the domain which ... is member of) using or subjected to a methodology using algebra and calculus

*"analytic statics"*

### (mathematics is the domain which ... is member of) capable of being transformed into a diagonal matrix

### (mathematics is the domain which ... is member of) of a triangle having three sides of different lengths

### (mathematics is the domain which ... is member of) related by an isometry

### (mathematics is the domain which ... is member of) involving or containing one or more derivatives

*"differential equation"*

### (mathematics is the domain which ... is member of) capable of being expressed as a quotient of integers

*"rational numbers"*

### (mathematics is the domain which ... is member of) real but not expressible as the quotient of two integers

*"irrational numbers"*

### (mathematics is the domain which ... is member of) of or relating to or being an integer that cannot be factored into other integers

*"prime number"*

### (mathematics is the domain which ... is member of) of or relating to or consisting of two terms

*"binomial expression"*

### (mathematics is the domain which ... is member of) having two variables

*"bivariate binomial distribution"*

### (mathematics is the domain which ... is member of) involving the cube and no higher power of a quantity or variable

*"a cubic equation"*

### (mathematics is the domain which ... is member of) involving the second and no higher power of a quantity or degree

*"quadratic equation"*