The Hesse normal form named after Otto Hesse, is an equation used in analytic geometry, and describes a line in or a plane in Euclidean space or a hyperplane in higher dimensions. It is primarily used for calculating distances, and is written in vector notation as
This equation is satisfied by all points P described by the location vector, which lie precisely in the plane E (or in 2D, on the line g).
The vector represents the unit normal vector of E or g, that points from the origin of the coordinate system to the plane (or line, in 2D). The distance is the distance from the origin to the plane (or line). The dot indicates the scalar product or dot product.
Read more about Hesse Normal Form: Derivation/Calculation From The Normal Form
Famous quotes containing the words hesse, normal and/or form:
“The call of death is a call of love. Death can be sweet if we answer it in the affirmative, if we accept it as one of the great eternal forms of life and transformation.”
—Hermann Hesse (1877–1962)
“Cant is always rather nauseating; but before we condemn political hypocrisy, let us remember that it is the tribute paid by men of leather to men of God, and that the acting of the part of someone better than oneself may actually commit one to a course of behaviour perceptibly less evil than what would be normal and natural in an avowed cynic.”
—Aldous Huxley (1894–1963)
“That’s one thing I like about Hollywood. The writer is there revealed in his ultimate corruption. He asks no praise, because his praise comes to him in the form of a salary check. In Hollywood the average writer is not young, not honest, not brave, and a bit overdressed. But he is darn good company, which book writers as a rule are not. He is better than what he writes. Most book writers are not as good.”
—Raymond Chandler (1888–1959)