# mapping

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:
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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
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
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
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type of:
procedure, process
a particular course of action intended to achieve a result
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