KEYWORDS: Internet, Statistical analysis, Local area networks, Analytical research, Data archive systems, Network security, Communication engineering, Error analysis, Lithium, Mathematics
In this paper, we employ real wireless data that draw from well known archives of network traffic traces and discusses
the characteristic of the aggregate WLAN traffic. We test the nonstationary of aggregate WLAN traffic by using the
Augmented Dickey-Fuller (ADF) based unit root test. The results show that we cannot reject the unit root for either of all
downstream traffic. We also repeat the analysis for the first difference of these series. The findings show that we can
strongly reject the unit root. These test reveal that the downstream traffic is nonstationary and integrated of order one.
Likewise, the same testing procedure for upstream traffic concluded that some of aggregate upstream traffic series are
stationary at the 5% level of significance, and some traffic series are nonstationary at the each level of significance. Our
result also showed that aggregate upstream traffic series are also integrated of order one.
Combining the concept of weights in rational curves with singular blending technique, we have generalized Bézier curve to a generalized Bézier curve denoted as a -Bézier curve. Its shape-control capability is much better than that of Bézier curve; thus, ? Bézier curve is more useful in free curve and surface designing. Bézier curve can be converted into an a Bézier curve by adding blending parameter to control vertices of Bézier curve. The properties of a Bézier curve are studied in details, and the effects of the blending parameters are investigated. By varying the blending parameters the curve can be reshaped, so it is brightly useful in the applications of CAD/CAM.
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