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:
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—René Descartes (1596–1650)
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“By the artist’s seizing any one object from nature, that object no longer is part of nature. One can go so far as to say that the artist creates the object in that very moment by emphasizing its significant, characteristic, and interesting aspects or, rather, by adding the higher values.”
—Johann Wolfgang Von Goethe (1749–1832)
“It seems to me that we do not know nearly enough about ourselves; that we do not often enough wonder if our lives, or some events and times in our lives, may not be analogues or metaphors or echoes of evolvements and happenings going on in other people?—or animals?—even forests or oceans or rocks?—in this world of ours or, even, in worlds or dimensions elsewhere.”
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