Shannon OR-capacity $C_{\rm OR}(G)$ of a graph $G$, that is the traditionally more often used AND-capacity complementary graph, homomorphism monotone parameter therefore OR}(F\times G)\leqslant\min\{C_{\rm OR}(F),C_{\rm OR}(G)\}$ holds for every pair graphs, where $F\times G$ categorical product graphs $F$ and $G$. Here we initiate study question when could expect equality in this inequality. U...

The statistical analysis of data stemming from dynamical systems, including, but not limited to, time series, routinely relies on the estimation information theoretical quantities, most notably Shannon entropy. To this purpose, possibly widespread tool is provided by so-called plug-in estimator, whose properties in terms bias and variance were investigated since first decade after publication S...

this paper concentrates on a new procedure which experimentally recognises gears and bearings faults of a typical gearbox system using a least square support vector machine (lssvm). two wavelet selection criteria maximum energy to shannon entropy ratio and maximum relative wavelet energy are used and compared to select an appropriate wavelet for feature extraction. the fault diagnosis method co...

this paper concentrates on a new procedure which experimentally recognises gears and bearings faults of a typical gearbox system using a least square support vector machine (lssvm). two wavelet selection criteria maximum energy to shannon entropy ratio and maximum relative wavelet energy are used and compared to select an appropriate wavelet for feature extraction. the fault diagnosis method co...

fractional calculus has been used to model physical and engineering processes that are found to be best described by fractional differential equations. therefore, a reliable and efficient technique as a solution is regarded.this paper develops approximate solutions for boundary value problems ofdifferential equations with non-integer order by using the shannon waveletbases. wavelet bases have d...

(includes addition of the effect of " ditch lights ") Abstract The number of collisions and fatalities at rail-highway intersections has declined significantly over the past thirty years, despite considerable increases in the volume of both rail and highway traffic. This paper disaggregates the improvement into its constituent causes. Negative binomial regressions are conducted on a pooled data...