The Andrews-Curtis conjecture states that every balanced presentation of the trivial group can be reduced to the standard one by a sequence of the elementary Nielsen transformations and conjugations. In this paper we describe all balanced presentations of the trivial group on two generators and with the total length of relators ≤ 12. We show that all these presentations satisfy the Andrews-Curt...

"Roughly 98% of the world’s oceans and coastal waters fall into the Case 1 category, and almost all bio-optical research has been directed toward these phytoplanktondominated waters. However, near-shore and estuarine Case 2 waters are disproportionately important to human interests such as recreation, fisheries, and military operations. It is therefore likely that Case 2 waters will receive inc...

D.D. Palmer, chiropractic's discoverer and nomenclator, lost his Palmer School to his son, B.J., in 1906. That same year, a Palmer graduate, John Fitz Alan Howard, founded the National School of Chiropractic in the Ryan Building in Davenport. In 1908, he moved National to Chicago to secure the clinical, laboratory, dissection, hospital, facilities, licensure and other advantages in Illinois. Wi...

P144 Influence of diet on oocyst output and intestinal lesion development in Coccivac®-D vaccinated replacement broiler breeders reared on new and used litter. L. A. Oden*1, D. J. Caldwell1, S. K. Pohl1, A. E. Klein1, S. Young2, C. Broussard3, S. Fitz-Coy3, L. Newmann3, and J. T. Lee1, 1Department of Poultry Science, Agrilife Research, Texas A&M System, College Station, 2Pilgrim’s Pride Corpora...

A general Bayesian framework is introduced for the inference of time-varying parameters in nonstationary, nonlinear, stochastic dynamical systems. Its convergence is discussed. The performance of the method is analyzed in the context of detecting signaling in a system of neurons modeled as FitzHugh-Nagumo (FHN) oscillators. It is assumed that only fast action potentials for each oscillator mixe...