Definition
The Berezin integral is defined to be a linear functional
where we define
so that :
These properties define the integral uniquely.
This is the most general function, because every homogeneous function of one Grassmann variable is either constant or linear.
Read more about this topic: Grassmann Integral
Famous quotes containing the word definition:
“... we all know the wags definition of a philanthropist: a man whose charity increases directly as the square of the distance.”
—George Eliot [Mary Ann (or Marian)
“According to our social pyramid, all men who feel displaced racially, culturally, and/or because of economic hardships will turn on those whom they feel they can order and humiliate, usually women, children, and animalsjust as they have been ordered and humiliated by those privileged few who are in power. However, this definition does not explain why there are privileged men who behave this way toward women.”
—Ana Castillo (b. 1953)
“One definition of man is an intelligence served by organs.”
—Ralph Waldo Emerson (18031882)