mapping

/ˈmæpɪŋ/

/ˈmæpɪŋ/

Other forms: mappings

Definitions of mapping

1. noun

   (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)
   synonyms: function, map, mathematical function, single-valued function

   types:

   multinomial, polynomial

   a mathematical function that is the sum of a number of terms

   expansion

   a function expressed as a sum or product of terms

   inverse function

   a function obtained by expressing the dependent variable of one function as the independent variable of another; f and g are inverse functions if f(x)=y and g(y)=x

   Kronecker delta

   a function of two variables i and j that equals 1 when i=j and equals 0 otherwise

   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

   isometry

   a one-to-one mapping of one metric space into another metric space that preserves the distances between each pair of points

   operator

   (mathematics) a symbol or function representing a mathematical operation

   circular function, trigonometric function

   function of an angle expressed as a ratio of the length of the sides of right-angled triangle containing the angle

   threshold function

   a function that takes the value 1 if a specified function of the arguments exceeds a given threshold and 0 otherwise

   exponential, exponential function

   a function in which an independent variable appears as an exponent

   biquadratic, biquadratic polynomial, quartic polynomial

   a polynomial of the fourth degree

   homogeneous polynomial

   a polynomial consisting of terms all of the same degree

   monic polynomial

   a polynomial in one variable

   quadratic, quadratic polynomial

   a polynomial of the second degree

   series

   (mathematics) the sum of a finite or infinite sequence of expressions

   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

   linear operator

   an operator that obeys the distributive law: A(f+g) = Af + Ag (where f and g are functions)

   identity, identity element, identity operator

   an operator that leaves unchanged the element on which it operates

   sin, sine

   ratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled triangle

   arc sine, arcsin, arcsine, inverse sine

   the inverse function of the sine; the angle that has a sine equal to a given number

   cos, cosine

   ratio of the adjacent side to the hypotenuse of a right-angled triangle

   arc cosine, arccos, arccosine, inverse cosine

   the inverse function of the cosine; the angle that has a cosine equal to a given number

   tan, tangent

   ratio of the opposite to the adjacent side of a right-angled triangle

   arc tangent, arctan, arctangent, inverse tangent

   the inverse function of the tangent; the angle that has a tangent equal to a given number

   cotan, cotangent

   ratio of the adjacent to the opposite side of a right-angled triangle

   arc cotangent, arccotangent, inverse cotangent

   the inverse function of the cotangent; the angle that has a cotangent equal to a given number

   sec, secant

   ratio of the hypotenuse to the adjacent side of a right-angled triangle

   arc secant, arcsec, arcsecant, inverse secant

   the inverse function of the secant; the angle that has a secant equal to a given number

   cosec, cosecant

   ratio of the hypotenuse to the opposite side of a right-angled triangle

   arc cosecant, arccosecant, inverse cosecant

   the angle that has a cosecant equal to a given number

   dilation

   (mathematics) a transformation that changes the size of a figure but not its shape

   type of:

   mathematical relation

   a relation between mathematical expressions (such as equality or inequality)
2. noun

   (genetics) the process of locating genes on a chromosome
   synonyms: chromosome mapping

   type of:

   procedure, process

   a particular course of action intended to achieve a result