In this paper we give new upper bounds on the regularity of edge ideals whose resolutions are k-steps linear; surprisingly, the bounds are logarithmic in the number of variables. We also give various bounds for the projective dimension of such ideals, generalizing other recent results. By Alexander duality, our results also apply to unmixed square-free monomial ideals of codimension two. We als...

Mixed solutions of konjac glucomannan supplemented with xanthan and alginate were studied using the technique of sedimentation velocity in the analytical ultracentrifuge. Interactions – as manifested by changes in the sedimentation coefficient distributions compared to unmixed controls – were observed for ternary mixtures in the presence of alginate. The complexes observed also appeared sensiti...

In this paper we present a method of separating musical instrument sound sources from their monaural mixture, where we take the harmonic structure of music into account and use the sparseness and the overlapping NMF to select representative spectral basis vectors which are used to reconstruct unmixed sound. A method of spectral basis selection is illustrated and experimental results with monaur...

In this paper, we propose a method for composing templates of lung sound classification. First, we obtain a sequence of power spectra by FFT for each given lung sound and compute a small number of component spectra by ICA for each of the overlapping sets of tens of consecutive power spectra. Second, we put component spectra obtained from various lung sounds into a single set and conduct cluster...

Dust grains play a crucial role on formation and evolution history of stars and galaxies in the early universe. We investigate the formation of dust grains in the ejecta of population III supernovae including pair–instability supernovae which are expected to occur in the early universe, applying a theory of non–steady state nucleation and grain growth. Dust formation calculations are performed ...