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)
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—Samuel Johnson (1709–1784)
“Sitting in that dusky wilderness, under that dark mountain, by the bright river which was full of reflected light, still I heard the wood thrush sing, as if no higher civilization could be attained. By this time the night was upon us.”
—Henry David Thoreau (1817–1862)
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—bell hooks (b. c. 1955)