#mathematical_relation a relation between mathematical expressions (such as equality or inequality)
supertype: relation an abstraction belonging to or characteristic of two entities or parts together
subtype: mathematical_function__function a mathematical relation such that each element of one set is associated with at least one element of another set
subtype: inverse_function__inversefunction the 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
subtype: Kronecker_delta a function of two variables i and j that equals 1 when i=j and equals 0 otherwise
subtype: transformation.mathematical_function a function that changes the position or direction of the axes of a coordinate system
subtype: affine_transformation a transformation that is a combination of single transformations such as translation or rotation or reflection on an axis
subtype: mapping__map__correspondence a function such that for every element of one set there is a unique element of another set
subtype: operator (mathematics) a symbol that represents a function from functions to functions; "the integral operator"
subtype: linear_operator an operator that obeys the distributive law: A(f+g) = Af + Ag (where f and g are function)
subtype: identity_operator__identity__identity_element an operator that leaves unchanged the element on which it operates; "the identity under numerical multiplication is 1"
subtype: trigonometric_function__trigonometricfunction__circular_function function of an angle expressed as a ratio of the sides of right-angled triangle containing the angle
subtype: sine__sin ratio of the opposite side to the hypotenuse
subtype: cosine__cos__co ratio of the adjacent side to the hypotenuse
subtype: tangent.trigonometric_function__tan ratio of the opposite to the adjacent side
subtype: cotangent__cotan ratio of the adjacent to the opposite side
subtype: sec__secant ratio of the hypotenuse to the adjacent side
subtype: cosecant__cosec ratio of the hypotenuse to the opposite side
subtype: threshold_function__thresholdfunction a function that takes the value 1 if a specified function of the arguments exceeds a given threshold and 0 otherwise
subtype: exponential_function__exponentialfunction__exponential a function in which an independent variable appears as an exponent
subtype: parity.mathematical_relation (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
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