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Excerpt from Bulletin of the American Mathematical Society, 1921, Vol. 27
The function ¢(m) is continuous in space of n dimensions. I wish to Show that it is continuous in the space S. It is sufficient to show that the distance 6 of a point M from a closed set H is a continuous function of M, vanishing on H.
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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
The function ¢(m) is continuous in space of n dimensions. I wish to Show that it is continuous in the space S. It is sufficient to show that the distance 6 of a point M from a closed set H is a continuous function of M, vanishing on H.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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- PublisherForgotten Books
- Publication date2018
- ISBN 10 0267624182
- ISBN 13 9780267624188
- BindingHardcover
- Number of pages562
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Bulletin of the American Mathematical Society, 1921, Vol 27 Classic Reprint
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Bulletin of the American Mathematical Society, 1921, Vol 27 Classic Reprint
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Bulletin of the American Mathematical Society, 1921, Vol. 27 (Classic Reprint)
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