Dottedaggregate。For example: point (x, y)express。Many points are put together to form a point set.And {(1,1), (1, - 5), (a, b),..., (- 2, - 3)} refers to a set of (1,1), (1, - 5), (a, b),..., (- 2, - 3) points put together.
Chinese name
point set
Foreign name
Point Set
Scope of application
Mathematical Science
Definition
The set of points, that is, the set of many points together
DottedaggregateThat is, a collection of many points together.For example, {(x, y) | y=x+1} refers to the set of all points on the straight line y=x+1.
brief introduction
Announce
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Formally, the statement "point set is a set rather than a function" is roughly correct.A function is a binary mathematical relationship (binary group), and its definition generally needs to be described by means of a set.Point sets are only elements that are pointsaggregate(A "tuple" consisting of points) is not a relation, so it is not a function.But if the point set is regarded as thesubsetConsider that its elements can be points expressed in the form of coordinates (divided into two groups of independent variables and values), which can be regarded as binary groups and become mathematical relations. Therefore, they may also conform to the definition of functions and thus become functions.At this time, the representation of the point (coordinate - two groups of numbers) itself contains the elements of the function——independent variableAnd values.
