Nuclear Fusion Physics and Technology/Algebra summary

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Definition: Cartesian multiplicationEdit

Cartesian multiplication of two sets A, B with |a>,|b> elements is defined as
 

Definition: ProjectionEdit

Projection f from set A to set B is AxB subset defined as
 
and notation   is used.

Definition: Body of numbersEdit

Body of numbers T is defined as
 

Definition: Vector spaceEdit

Vector space V is defined as
 

Definition: FunctionEdit

Function is a projection  , which meets
 

Definition: FunctionalEdit

Functional is a projection  , which meets
 

Definition: OperatorEdit

Operator is a projection  , which meets