Gauss—Radau and Gauss—Lobatto quadratures with double end points

End Points Detection Widget

The problem of speech modeling is handled here using a new technique. The features are extracted from wavelet packets decomposition of speech signal. Wavelet packet bands are chosen to match the natural hearing response. Widgets are fixed probabilistic patterns that may be utilized to monitor specific physical phenomena. Many widgets may be designed to express some phenomena like speech end poi...

On Plane Sextics with Double Singular Points

We compute the fundamental groups of five maximizing sextics with double singular points only; in four cases, the groups are as expected. The approach used would apply to other sextics as well, given their equations.

Extended Gaussian quadratures for functions with an end-point singularity of logarithmic type

The extended Gaussian quadrature rules are shown to be an efficient tool for numerical integration of wide class of functions with singularities of logarithmic type. The quadratures are exact for the functions pol1n−1(x) + lnx pol2n−1(x) , where pol1n−1(x) and pol2n−1(x) are two arbitrary polynomials of degree n−1 and n is the order of the quadrature formula. We present an implementation of num...

Cut Points and End Points of a Continuum

the past hospitalization and its association with suicide attempts and ideation in patients with mdd and comparison with bmd (depressed type) group

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