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The Geometry of Many Dimensions*

Published online by Cambridge University Press:  03 November 2016

J L. Synge
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Abstract

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Type
Meeting Report
Information
The Mathematical Gazette , Volume 33 , Issue 306 , December 1949 , pp. 249 - 263
Copyright
Copyright © The Mathematical Association 1949 

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Footnotes

*

Address delivered at the Opening Meeting of the Dublin University Mathematical Society, Feb. 7, 1949.

References

Page 262 note * This definition involves a range of integration. For simplicity, we have taken it to be (0, 1); we might more generally take it to be (a, b). The only requirement is that the integral shall exist ; for example, we could not use the range (−∞, ∞) if we wanted to define the length of the vector corresponding to the function x 2