Application To Higher Dimensions
For every radius r > 0,
with Euclidean norm ||x|| defines a smooth function on n-dimensional Euclidean space with support in the ball of radius r.
Read more about this topic: Non-analytic Smooth Function
Famous quotes containing the words application to, application, higher and/or dimensions:
“Preaching is the expression of the moral sentiment in application to the duties of life.”
—Ralph Waldo Emerson (1803–1882)
“The main object of a revolution is the liberation of man ... not the interpretation and application of some transcendental ideology.”
—Jean Genet (1910–1986)
“Reality has become so absorbing that the streets, the television, and the journals have confiscated the public interest and people are no longer thirsty for culture on a higher level.”
—Andre Plesu (b. 1948)
“Why is it that many contemporary male thinkers, especially men of color, repudiate the imperialist legacy of Columbus but affirm dimensions of that legacy by their refusal to repudiate patriarchy?”
—bell hooks (b. c. 1955)