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	Sobolev inequality SobolevSpace Sobolev space Socle socle SofiaKovalevskaya Sofia Kovalevskaya SofyaYanovskaya Sofya Yanovskaya Sohcahtoa sohcahtoa SolenoidalField solenoidal field SoleSufficientOperator sole sufficient operator SolidAngle solid angle SolidAngleOfRectangularPyramid solid angle of rectangular pyramid SolidOfRevolution solid of revolution SolidSet solid set Soliton soliton