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 JAMP  Vol.4 No.3 , March 2016
Introducing a Function with Plural Derivatives
Abstract: It is a solid truth in mathematics that the derivative of a function is unique. We want to show that there exist particular functions all of which have the same form but their derivatives are different. Even though this may seem quite novel, such function could be crucial for the purpose of describing the world such as related to mental phenomena where the logic of the current mathematics is not adequate.
Cite this paper: Shin, C. (2016) Introducing a Function with Plural Derivatives. Journal of Applied Mathematics and Physics, 4, 500-510. doi: 10.4236/jamp.2016.43056.
References

[1]   Berg, E.J. (1936) Heaviside’s Operational Calculus, as Applied to Engineering and Physics. McGraw-Hill Education, New York, 5.

[2]   Apostol, T. (1974) Mathematical Analysis. 2nd Edition, Addison Wesley, Boston, Theorem 5.5.

[3]   Duff, G.F.D. and Naylor, D. (1966) Differential Equations of Applied Mathematics. John Wiley & Sons, Hoboken, 42.
http://dx.doi.org/10.1119/1.1972713

[4]   Taylor, E.F. and Wheeler, J.A. (1966) Spacetimes Physics. 2nd Edition, W. H. Freeman & Co.

 
 
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