Parametric family
Encyclopedia
In mathematics
and its applications, a parametric family or a parameterized family is a family of objects whose definitions depend on a set of parameter
s.
Common examples are parametrized (families of) functions
, probability distributions, curve
s, shape
s, etc..
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
and its applications, a parametric family or a parameterized family is a family of objects whose definitions depend on a set of parameter
Parameter
Parameter from Ancient Greek παρά also “para” meaning “beside, subsidiary” and μέτρον also “metron” meaning “measure”, can be interpreted in mathematics, logic, linguistics, environmental science and other disciplines....
s.
Common examples are parametrized (families of) functions
Function (mathematics)
In mathematics, a function associates one quantity, the argument of the function, also known as the input, with another quantity, the value of the function, also known as the output. A function assigns exactly one output to each input. The argument and the value may be real numbers, but they can...
, probability distributions, curve
Curve
In mathematics, a curve is, generally speaking, an object similar to a line but which is not required to be straight...
s, shape
Shape
The shape of an object located in some space is a geometrical description of the part of that space occupied by the object, as determined by its external boundary – abstracting from location and orientation in space, size, and other properties such as colour, content, and material...
s, etc..