11 PDF - Robert Bernard Klein, A new metric with applications to physics and solving certain higher ordered differential equations

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Volume 23: Pages 306-310, 2010

A new metric with applications to physics and solving certain higher ordered differential equations

Robert Bernard Klein 1

17880 Yukon Street, Vancouver, British Columbia V5X 1Y5, Canada

This paper introduces the generalized cyclic function order n, C(n,l), and the natural identities. The third and fourth order Pythagorean identities are naturally derived and the divergence of additive C(n,l) identities is proved for odd n. The development of Pythagorean order n is indicated.

Keywords: Generalized Cyclic Function, Metric, Third Order Pythagorean, Fourth Order Pythagorean

Received: June 30, 2008; Accepted: March 19, 2010; Published Online: April 29, 201