Real-frequency interpolation with positive-real n ports

1968 ◽  
Vol 4 (13) ◽  
pp. 272
Author(s):  
M. Wohlers
Keyword(s):  
Positive Real ◽  
Real Frequency

Improvement of Jain’s algorithm for frequency estimation

2020 ◽  
Vol 65 (1) ◽  
pp. 115-122
Author(s):  
Andrea Amalia Minda
Keyword(s):  
Frequency Estimation ◽  
The Real ◽  
Real Frequency

In this paper we propose a procedure to correct Jain's algorithm, which in certain situations fails in correctly estimating the frequency by indicating frequency values that are very far from the real frequency. It happens because the two points considered for the method proposed by Jain are not on the same lobe. Thus, a method is proposed according to which these points are chosen so that the results are improved.

scholarly journals A positive real lemma for singular hybrid systems

2020 ◽  
Vol 53 (2) ◽  
pp. 2051-2056
Author(s):  
Chan-eun Park ◽  
In Seok Park ◽  
Nam Kyu Kwon ◽  
PooGyeon Park
Keyword(s):  
Hybrid Systems ◽  
Positive Real

scholarly journals SARS-CoV-2 infection in an infant with non-respiratory manifestations: a case report

2021 ◽  
Vol 69 (1) ◽  
Author(s):  
Muhammad Adel ◽  
Ahmed Magdy
Keyword(s):  
Computed Tomography ◽  
Aplastic Anemia ◽  
Rt Pcr ◽  
Positive Real ◽  
Case Presentation ◽  
Chest Computed Tomography ◽  
High Incidence ◽  
Laboratory Investigations ◽  
High Index Of Suspicion ◽  
Specific Symptoms

Abstract Background Coronavirus disease (COVID-19) presents in children usually with less severe manifestations than in adults. Although fever and cough were reported as the most common symptoms, children can have non-specific symptoms. We describe an infant with aplastic anemia as the main manifestation. Case presentation We describe a case of SARS-CoV-2 infection in an infant without any respiratory symptoms or signs while manifesting principally with pallor and purpura. Pancytopenia with reticulocytopenia was the predominant feature in the initial laboratory investigations, pointing to aplastic anemia. Chest computed tomography surprisingly showed typical findings suggestive of SARS-CoV-2 infection. Infection was later confirmed by positive real-time reverse transcription polymerase chain reaction assay (RT-PCR) for SARS-CoV-2. Conclusions Infants with COVID-19 can have non-specific manifestations and a high index of suspicion should be kept in mind especially in regions with a high incidence of the disease. Chest computed tomography (CT) and testing for SARS-CoV-2 infection by RT-PCR may be considered even in the absence of respiratory manifestations.

scholarly journals Multiple solutions for critical Choquard-Kirchhoff type equations

2020 ◽  
Vol 10 (1) ◽  
pp. 400-419 ◽  
Author(s):  
Sihua Liang ◽  
Patrizia Pucci ◽  
Binlin Zhang
Keyword(s):  
Critical Exponent ◽  
Critical Exponents ◽  
Sobolev Inequality ◽  
Multiple Solutions ◽  
Concentration Compactness ◽  
Positive Real ◽  
Multiplicity Results ◽  
Kirchhoff Type ◽  
Concentration Compactness Principle ◽  
Compactness Principle

Abstract In this article, we investigate multiplicity results for Choquard-Kirchhoff type equations, with Hardy-Littlewood-Sobolev critical exponents, $$\begin{array}{} \displaystyle -\left(a + b\int\limits_{\mathbb{R}^N} |\nabla u|^2 dx\right){\it\Delta} u = \alpha k(x)|u|^{q-2}u + \beta\left(\,\,\displaystyle\int\limits_{\mathbb{R}^N}\frac{|u(y)|^{2^*_{\mu}}}{|x-y|^{\mu}}dy\right)|u|^{2^*_{\mu}-2}u, \quad x \in \mathbb{R}^N, \end{array}$$ where a > 0, b ≥ 0, 0 < μ < N, N ≥ 3, α and β are positive real parameters, $\begin{array}{} 2^*_{\mu} = (2N-\mu)/(N-2) \end{array}$ is the critical exponent in the sense of Hardy-Littlewood-Sobolev inequality, k ∈ Lr(ℝN), with r = 2∗/(2∗ − q) if 1 < q < 2* and r = ∞ if q ≥ 2∗. According to the different range of q, we discuss the multiplicity of solutions to the above equation, using variational methods under suitable conditions. In order to overcome the lack of compactness, we appeal to the concentration compactness principle in the Choquard-type setting.

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