# mathematical relation

Definitions of mathematical relation
1. noun
a relation between mathematical expressions (such as equality or inequality)
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function, map, mapping, mathematical function, single-valued 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)
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
inequality
(mathematics) a relation indicating that two quantities are of unequal value
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
evenness
the parity of even numbers (divisible by two)
oddness
the parity of odd numbers (not divisible by two)
type of:
relation
an abstraction belonging to or characteristic of two entities or parts together
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