The Baire category theorem implies that the family, F,of dense sets G6 in a fixed metric space, X , is a candidate for generic sets since it is closed under countable intersections; and if X is perfect (has no isolated point), then A E F has uncountable intersections with any open ball in X. There is a long tradition of soft arguments to prove that certain surprising sets are generic. For examp...

In a variety of contexts, we prove that singular continuous spectrum is generic in the sense that for certain natural complete metric spaces of operators, those with singular spectrum are a dense Gδ . In the spectral analysis of various operators of mathematical physics, a key step, often the hardest, is to prove that the operator has no continuous singular spectrum, that is, that the spectral ...

The absolutely continuous spectrum of an ergodic family of onedimensional Schrödinger operators is completely determined by the Lyapunov exponent as shown by Ishii, Kotani and Pastur. Moreover, the part of the theory developed by Kotani gives powerful tools for proving the absence of absolutely continuous spectrum, the presence of absolutely continuous spectrum, and even the presence of purely ...

continuous four hours eeg (electroencephalogram) recordings and its power spectrum analysis using fast fourier transform (fft) in urethane anesthetized male charles foster rats were performed in two groups: open brain injury and p-cpa (para-chlorophenylalanine) pretreated before brain injury, respectively, and compared with the eeg power spectrum of control rats. the eeg power spectrum analysis...

Continuous four hours EEG (electroencephalogram) recordings and its power spectrum analysis using fast fourier transform (FFT) in urethane anesthetized male Charles Foster rats were performed in two groups: open brain injury and p-CPA (para-Chlorophenylalanine) pretreated before brain injury, respectively, and compared with the EEG power spectrum of control rats. The EEG power spectrum analysis...