On the Multiplicative Structure of Topological Hochschild Homology

We show that the topological Hochschild homology THH(R of an E_n-ring spectrum R is an E_{n-1}-ring spectrum. The proof is based on the fact that the tensor product of the operad Ass for monoid structures and the the little n-cubes operad is an E_{n+1}-operad, a result which is of independent interest.Comment: 19 pages. Revised version with complete proof

Some Remarks on Realization of Simplicial Algebras in Cat

In this paper we discuss why the passage from simplicial algebras over a Cat operad to algebras over that operad involves apparently unavoidable technicalities.Comment: 16 page

Study of EMG frequency behavior

It has previously been determined that the power spectral density of an electromyogram shifts towards lower frequencies over time during an isometric contraction. In this study the power spectral density curve was examined to see if changes would occur over a period of time as a subject walked on a treadmill at various speeds. The shapes of the power spectral densities recorded from the soleus shifted to the lower frequencies over time. The parameters associated with the curves showed trends. One of the parameters, zero crossing, demonstrated adaptation and fatigue in all four patients, for the first portion of the study. The average frequency, median frequency, quarter area frequency and three quarter area frequency dropped when calculated over the entire frequency range of 0 to 500 Hz, thus confirming the fatiguing of fast twitch fibers and recruitment of slow twitch fibers to compensate. It was found that there were similarities for four of the subjects, in the shapes of the plots for area under the curve, such as a nadir after 175 seconds of walking and an acme at 250 seconds of walking. The variance another parameter also demonstrated fatigue