@MISC{Mil_bigomega, author = {Paul Mil and Vitanyilambert Meertens}, title = {Big Omega Versus the Wild Functions*}, year = {} }
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Abstract
The question of the desirable properties and proper definitions of the Order-of-Magnitude symbols, in particular 0 and e, is addressed once more. The definitions proposed are chosen for complementary mathemati-cal properties, rather than for similarity of form. L brmoDuCTioN The old order changeth, yielding place to new, And God Urals himself in many ways, Lest owe good custom should corrupt thc world-Tennyson, The 14 Ih i f t h e K i n g. The issue of the proper definitions for the Order-of-Magnitude symbols would appear to have been settled once and for all by Knuth in 111. At the end of an exhaustive discussion the subject is, the author feels, about "beaten to death". The purpose of this communica-tion is to point out that there is life in the old dog yeti ' The dehlerations below Were prompted by surprise that, while proving a lower bound where the precise definitions mat-tered, matters % P ere n o t a s d e a r c u t a s o n e m i g h t a s s u m e t h