operator

Synonym of mapping and function. Often used to refer to mappings where the domainand codomain are, in some sense a space of functions.

Examples: differential operator, convolution operator.

In the study of algebraic systems such as groups and rings, an operator often refers to a mapping from some cartesian power $A^{\\lambda}$ of a set $A$ to the set $A$ , where $\\lambda$ is a cardinal. For example, multiplication of integers can be thought of as an operator from $\\mathbb{Z}^{2}$ to $\\mathbb{Z}$ .

单词	Operator
释义	operator Synonym of mapping and function. Often used to refer to mappings where the domainand codomain are, in some sense a space of functions. Examples: differential operator, convolution operator. In the study of algebraic systems such as groups and rings, an operator often refers to a mapping from some cartesian power $A^{\\lambda}$ of a set $A$ to the set $A$ , where $\\lambda$ is a cardinal. For example, multiplication of integers can be thought of as an operator from $\\mathbb{Z}^{2}$ to $\\mathbb{Z}$ .
随便看	polynomial ring over integral domain PolynomialRingWhichIsPID polynomial ring which is PID PolynomialsInAlgebraicSystems polynomials in algebraic systems Polyomino polyomino Polyrectangle polyrectangle Polytope polytope PonsAsinorum pons asinorum PontryaginDuality Pontryagin duality Pop pop Poset poset PosetHeightAndWidth poset height and width PositionVector position vector Positive positive