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SummaryThe dog Elvis became famous by finding optimal paths that solve various calculus problems. Not all problems, however, have solutions. By giving an unsolvable problem very similar to those… (More)
AbstractWhen we take a decimal form of a number in the unit interval [0,1], we can form a new number by selecting certain digits and discarding the others. We analyze the properties of this process...
AbstractAn additive system is a collection of sets that gives a unique way to represent either all nonnegative integers, or all nonnegative integers up to some maximum. A structure theorem of de… (More)
LetAbe a Noetherian ring,ĨandIbe comaximal ideals ofA, andPbe a projectiveA-module. “Addition” refers to being given a surjectionP ↠ Ĩand producing a surjectionP ↠ Ĩ ∩ I. This is useful, for example,… (More)
SummaryGiven the graph of a continuous function on an interval, if we know the slopes of all the secant lines, then we can determine which rotations and reflections of the graph are also graphs of… (More)
Abstract We reconcile various authors' different definitions of smoothness. Also we give direct proofs and some new formulations of standard results about smoothness. Often hypotheses are weakened,… (More)
Unit load testing of boxes reported in the literature typically uses empty boxes to explore the impact and interactions among box configurations, pallet support and other environmental parameters.… (More)