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Generalized quaternion groups with the -DCI property
A Cayley digraph Cay(G,S) of a finite group with respect to a subset
of is said to be a CI-digraph if for every Cayley digraph Cay(G,T)
isomorphic to Cay(G,S), there exists an automorphism of such that
. A finite group is said to have the -DCI property for some
positive integer if all -valent Cayley digraphs of are CI-digraphs,
and is said to be a DCI-group if has the -DCI property for all . Let be a generalized quaternion group of order
with an integer , and let have the -DCI
property for some . It is shown in this paper that is
odd, and is not divisible by for any prime . Furthermore,
if is a power of a prime , then has the -DCI
property if and only if is odd, and either or .Comment: 1
Nonlinear Analysis of Auscultation Signals in TCM Using the Combination of Wavelet Packet Transform and Sample Entropy
Auscultation signals are nonstationary in nature. Wavelet packet transform (WPT) has currently become a very useful tool in analyzing nonstationary signals. Sample entropy (SampEn) has recently been proposed to act as a measurement for quantifying regularity and complexity of time series data. WPT and SampEn were combined in this paper to analyze auscultation signals in traditional Chinese medicine (TCM). SampEns for WPT coefficients were computed to quantify the signals from qi- and yin-deficient, as well as healthy, subjects. The complexity of the signal can be evaluated with this scheme in different time-frequency resolutions. First, the voice signals were decomposed into approximated and detailed WPT coefficients. Then, SampEn values for approximated and detailed coefficients were calculated. Finally, SampEn values with significant differences in the three kinds of samples were chosen as the feature parameters for the support vector machine to identify the three types of auscultation signals. The recognition accuracy rates were higher than 90%
Microwave assisted synthesis, antifungal activity, DFT and SAR study of 1,2,4-triazolo[4,3-a]pyridine derivatives containing hydrazone moieties
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