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Developable or Not Related to Information Loss

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  • William Chen

Abstract

In this paper we present a lemma and two theorems. These theoretical results will be used to test whether or not a given surface model can be developed. We then choose some examples to demonstrate how to perform these tests. All of these theories and examples are for general purposes, and are not restricted to any particular field. Although all examples are in three-dimensional space, it can be expanded to finite n-dimensional Euclidean spaces. The objective of this paper is to link the relationship between developable surfaces and information loss.

Suggested Citation

  • William Chen, 2018. "Developable or Not Related to Information Loss," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 10(5), pages 28-36, October.
    • Handle: RePEc:ibn:jmrjnl:v:10:y:2018:i:5:p:28
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    File URL: http://www.ccsenet.org/journal/index.php/jmr/article/view/76552
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    More about this item

    Keywords

    catenary; catenoid; developable surface; exponential family; first fundamental form; gradient vector; Hessian matrix; implicit function; information loss; n-dimensional vector space; surface of revolution; second order efficiency; second fundamental form;
    All these keywords.

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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