Introducing “Arithmetic Calculus” with Some Applications: New Terms, Definitions, Notations and Operators

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References

[1] Wilf, H.S. (1994) Generating Functionology.

http://www.math.upenn.edu/~wilf/gfology2.pdf

[2] Khatibi, R. (2013) Chapter 1: Learning from Natural Selection in Biology: Reinventing Existing Science to Generalise Theory of Evolution—Evolutionary Systemics. In: Lynch, J.R., Derek, T. and Williamson, D.T., Eds., Natural Selection: Biological Processes, Theory and Role in Evolution, 1-96.
https://www.novapublishers.com/catalog/product_info.php?products_id=41521

[3] Avigad, J. (2010) Understanding, Formal Verification, and the Philosophy of Mathematics.

http://www.andrew.cmu.edu/user/avigad/Papers/understanding2.pdf