A central limit theorem for bilinear forms of the type aĈN (ρ) −1b, where a, b ∈ C are unit norm deterministic vectors and ĈN (ρ) a robust-shrinkage estimator of scatter parametrized by ρ and built upon n independent elliptical vector observations, is presented. The fluctuations of aĈN (ρ) −1b are found to be of order N− 1 2 and to be the same as those of aŜN (ρ) −1b for ŜN (ρ) a matrix of a th...

Let IL,ρ be a lattice ideal. We provide a necessary and sufficient criterion under which a set of binomials in IL,ρ generate the radical of IL,ρ up to radical. We apply our results to the problem of determining the minimal number of generators of IL,ρ or of the lattice ideal rad(IL,ρ) up to radical.

In time-frequency analysis Hilbert transformation is used to define analytic signals based on which meaningful instantaneous amplitude and instantaneous frequency are defined. In relation to this background we study characteristic properties of the real-valued measurable functions ρ(t) and θ(t), t ∈ R, such that H(ρ(·) cos θ(·))(t) = ρ(t) sin θ(t), ρ(t) ≥ 0, where H is the Hilbert transformatio...

The PM2.5 and O3 pollution situation in the Yangtze River Delta (YRD) region is increasingly complex. Existing coordinated prevention control programs are demarcated according to administrative regions, making fine-scale difficult. This study proposed a method for delineating regional types based on analysis of characteristics. Four key indicators were used comprehensively evaluate trends: conc...

Kepatuhan merupakan ketaatan atau ketidaktaatan pada perintah aturan. Sedangkan kepatuhan dalam membayar iuran berarti perilaku seseorang yang memiliki kemauan secara tepat berdasarkan waktu telah ditetapkan. sehingga penulis tertarik untuk mengetahui faktor pendapatan, persepsi tempat pelayanan, akses pembayaran dan riwayat penyakit. Pada penelitian ini dilaksanakan di Puskesmas Wawondula, ter...

Diffusion weighted imaging (DWI) is a magnetic resonance imaging (MRI) technique based on measure of water diffusion in tissues. This diffusion can be quantified by apparent diffusion coefficient (ADC). Some reports indicated that ADC can reflect tumor proliferation potential. The purpose of this meta-analysis was to provide evident data regarding associations between ADC and KI 67 in different...

and Applied Analysis 3 the fixed point theory and that a Banach space X has property L if and only if it is reflexive and has the uniform Opial property. For a real vector space X, a function ρ : X → 0,∞ is called amodular if it satisfies the following conditions: i ρ x 0 if and only if x 0; ii ρ αx ρ x for all scalar α with |α| 1; iii ρ αx βy ≤ ρ x ρ y , for all x, y ∈ X and all α, β ≥ 0 with ...

In recent years, reinforced technique has been widely used in civil engineering technology. order to deeply understand the behavior of structure, this paper use geogrid as materials. The unconfined compressive tests were operated laboratory. specimens made by sharp sand which was classified according density at ρ=1.55g/cm3, ρ=1.75g/cm3, ρ=1.85g/cm3.Each specimen with layers 0,1,2,3,4,5. Through...