Arithmetically summing all moments in each respective columns gives the final moment values. Because the tree is arithmetically definable, this rank must be less than formula 38. As discussed above, is not arithmetically definable, by Tarski's theorem. A synonym for formula 64 is&colon; "X" is arithmetically reducible to "Y". The result was the truth predicate is well arithmetically, it is even formula 1. Two fields are called arithmetically equivalent if they have the same Dedekind zeta function. Usually, the various proxy records are combined arithmetically, in some weighted average. Arithmetically undefined expressions invoke exceptions and crash the program, if uncaught. When the limiting primer becomes depleted, replication increases arithmetically through extension of the excess primer. We may summarize this result arithmetically as formula 58. A sequence which is "n"-random for every "n" is called arithmetically random.