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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“I do not think I could myself, be brought to support a man for office, whom I knew to be an open enemy of, and scoffer at, religion. Leaving the higher matter of eternal consequences, between him and his Maker, I still do not think any man has the right thus to insult the feelings, and injure the morals, of the community in which he may live.”
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