These eleven axioms, sometimes called the high school identities, are related to the axioms of an exponential ring.
2.
If Schanuel's conjecture is true then this is, in some precise sense involving exponential rings, the " only " relation between " e ", ?, and " i " over the complex numbers.
3.
There is nothing particularly special about "'C "'here, exponential polynomials may also refer to such a polynomial on any exponential field or exponential ring with its exponential function taking the place of " e " " x " above.
4.
An example of an exponential ring with a nontrivial exponential function is the ring of integers "'Z "'equipped with the function " E " which takes the value + 1 at even integers and & minus; 1 at odd integers, i . e ., the function n \ mapsto (-1 ) ^ n.
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