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The application of the Wilson-Sommerfeld quantum conditions to a conditionally periodic system with orthogonal coordinates involves the evaluation of an integral of the type J = f(q) dq. (1) The integral is to be extended over a.complete cycle of values of q, which oscillates between two roots of f(q). The sign of the radical is to be the same as that of dq, so that if a and b denote the roots ...

Let ∆ be one of the dual polar spaces DQ(8, q), DQ−(7, q), and let e : ∆ → Σ denote the spin-embedding of ∆. We show that e(∆) is a two-intersection set of the projective space Σ. Moreover, if ∆ ∼= DQ−(7, q), then e(∆) is a (q + 1)-tight set of a nonsingular hyperbolic quadric Q(7, q) of Σ ∼= PG(7, q). This (q + 1)-tight set gives rise to more examples of (q + 1)-tight sets of hyperbolic quadri...

Poor quality data may be detected and corrected by performing various quality assurance activities that rely on techniques with different efficacy and cost. In this paper, we propose a quantitative approach for measuring and comparing the effectiveness of these data quality (DQ) techniques. Our definitions of effectiveness are inspired by measures proposed in Information Retrieval. We show how ...

The paper deals with a harmonic detection algorithm for hybrid power filters called DQ axis with Fourier (DQF) algorithm. This algorithm is a combination of the advantages of DQ axis method and sliding window Fourier analysis (SWFA). It is flexible and suitable in terms of design for hybrid power filters. This paper also presents the harmonic elimination by using the DQF algorithm for both thre...

Context. Hot DQ white dwarfs constitute a new class of white dwarf stars, uncovered recently within the framework of the SDSS project. There exist nine of them, out of a total of several thousands white dwarfs spectroscopically identified. Recently, three hot DQ white dwarfs have been reported to exhibit photometric variability with periods compatible with pulsation g-modes. Aims. Here, we pres...