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:
“It would be disingenuous, however, not to point out that some things are considered as morally certain, that is, as having sufficient certainty for application to ordinary life, even though they may be uncertain in relation to the absolute power of God.”
—René Descartes (1596–1650)
“May my application so close
To so endless a repetition
Not make me tired and morose
And resentful of man’s condition.”
—Robert Frost (1874–1963)
“This might be the end of the world. If Joe lost we were back in slavery and beyond help. It would all be true, the accusations that we were lower types of human beings. Only a little higher than apes. True that we were stupid and ugly and lazy and dirty and, unlucky and worst of all, that God Himself hated us and ordained us to be hewers of wood and drawers of water, forever and ever, world without end.”
—Maya Angelou (b. 1928)
“Words are finite organs of the infinite mind. They cannot cover the dimensions of what is in truth. They break, chop, and impoverish it.”
—Ralph Waldo Emerson (1803–1882)