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This paper generalizes the six basic aritmetic operations in terms of the n-th operation, the n-operation (where n∈ℤ), and many interesting propierties of the n-operations are discovered. Besides this new tipe of operations are applied to the calculus, thereby developing many new laws in modern mathematics (derivatives, integrals, eqs. differentials):

http://vixra.org/abs/1412.0194