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The determinant representation of three-fold Darboux
transformation for a variable-coefficient modified KdV equation is displayed
based on the technique used to solve Ablowitz-Kaup-Newell-Segur system.
Additionally, the nonsingular positon solutions of the variable-coefficient
modified KdV equation are firstly discovered analytically and graphically.
Malmquist productivity index (output based) and stochastic frontier production model are used to calculate the total factor productivity and decomposition index of 21 cities in transferred representative area and Shanghai. This paper also uses Tobit model to reveal influencing factors of production efficiency, taking Anhui Province as an example. The result shows that, growth of total factor productivity has been mainly brought by technology progress. Reducing of technology efficiency can hinder its growth. Development gap between Midwest China and developed areas owns to technology efficiency gap. The efficiency has a positive correlation with share of state-owned enterprise total in industrial output value, opening degree, human resources level and infrastructure level. At the same time, it negatively correlates with the share of government spending in GDP. The efficiency is uncorrelated with export and the proportion of science and technology spending accounts for fiscal expenditure.
Parkinson’s disease (PD) is complex and
most likely results from an unknown combination of genetic and environmental
factors. Here, we defined discrete genes (DGs) in a microarray analysis and found
that the percentage of DGs versus all analyzable genes correlated with PD
progression. Furthermore, this new parameter was also easily used to evaluate
the therapeutic effect of high- frequency electro-acupuncture (EA), thus
improving symptoms of PD model rats.