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A Multiple-Precision Division Algorithm, David M. Smith
A Multiple-Precision Division Algorithm, David M. Smith
Mathematics Faculty Works
The classical algorithm for multiple-precision division normalizes digits during each step and sometimes makes correction steps when the initial guess for the quotient digit turns out to be wrong. A method is presented that runs faster by skipping most of the intermediate normalization and recovers from wrong guesses without separate correction steps.
On Functions That Are Trivial Cocycles For A Set Of Irrationals. Ii, Lawrence W. Baggett, Herbert A. Medina, Kathy D. Merrill
On Functions That Are Trivial Cocycles For A Set Of Irrationals. Ii, Lawrence W. Baggett, Herbert A. Medina, Kathy D. Merrill
Mathematics Faculty Works
Two results are obtained about the topological size of the set of irrationals for which a given function is a trivial cocycle. An example of a continuous function which is a coboundary with non-L(1) cobounding function is constructed.