8,522 research outputs found

    An Inequality of Ostrowski Type for Twice Differentiable Mappings in Terms of the Lp Norm and Applications

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    An inequality of the Ostrowski type for twice differentiable mappings whose derivatives belong to Lp (a, b) , 1 < p < ∞, and applications to special means and numerical integration are investigated

    The Association of PLA2G7 Gene Polymorphisms with Serum Lp-PLA2 Activity and Lipid Profile in Han Chinese Patients with Coronary Heart Disease

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    Yanhai Wang,1 Yupeng Shi,2 Zhongwei Wu,1 Jiangfeng Gao,3 Jing Wang,3 Lei Li,4 Yugang Wan,4 MuGu Lang A,1 Jianwen Zhang,1 Hongbo Wang,3 Yu Hou3,5 1Department of Clinical Laboratory, Hohhot First Hospital, Hohhot, 010030, People’s Republic of China; 2Zhejiang Digena Diagnosis Technology CO., LTD, Zhejiang, 310030, People’s Republic of China; 3Cardiology Department, Hohhot First Hospital, Hohhot, 010030, People’s Republic of China; 4Network Management, Hohhot First Hospital, Hohhot, 010030, People’s Republic of China; 5Cardiology Department, Inner Mongolia People’s Hospital, Hohhot, 010017, People’s Republic of ChinaCorrespondence: Yu Hou, Cardiology Department, Inner Mongolia People’s Hospital, No. 26, Zhaoda Road, Saihan District, Hohhot, Inner Mongolia Autonomous Region, 010017, People’s Republic of China, Tel +86-471-5281258, Email [email protected]: This study aimed to investigate the distribution patterns of PLA2G7 gene variants in Han Chinese patients with coronary heart disease (CHD), and their relationships with serum lipoprotein-associated phospholipase A2 (Lp-PLA2) levels and lipid profiles.Methods: A total of 93 han Chinese CHD patients were recruited. Serum Lp-PLA2 levels were determined using enzyme-linked immunosorbent assay (ELISA), while comprehensive analysis of PLA2G7 gene polymorphisms was conducted through whole-exome sequencing. Concurrently, multiple lipid parameters were measured and analyzed.Results: Among these Han Chinese CHD patients, the PLA2G7 gene rs1051931 (c.1136T>C p.Val379Ala) rare variant was highly prevalent (variant rate: 94.62%) among the study population, and showed negative correlation with serum Lp-PLA2 activity. The rs1765208290 (c.233G>A p.Gly78Asp) rare variant showed positive correlation with TG, ApoA, ApoB, HDL, LDL and TCHO levels in the serum. Strong linkage disequilibrium was observed between the rs1805018 (c.593T>C p.Ile198Thr) and rs76863441 (c.835G>T p.Val279Phe), both of which were related to lower Lp-PLA2 activity.Conclusion: In these Han Chinese CHD patients, the rs1051931 (c.1136T>C p.Val379Ala) rare variant in the PLA2G7 gene is closely linked to decreased Lp-PLA2 activity, whereas the rs1765208290 (c.233G>A p.Gly78Asp) rare variant influences lipid homeostasis. The strong LD between rs1805018 (c.593T>C p.Ile198Thr) and rs76863441 (c.835G>T p.Val279Phe) loci may act synergistically to reduce Lp-PLA2 activity.Keywords: PLA2G7 gene, coronary artery atherosclerotic heart disease, serum Lp-PLA2, lipid profil

    Some inequalities for Lp radial Blaschke-Minkowski homomorphisms1

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    The notion of radial Blaschke-Minkowski homomorphisms was presented by Schuster. Afterwards, Wang et al. introduced Lp radial Blaschke-Minkowski homomorphisms. In this paper, associated with Lp-dual affine surface areas, we establish some inequalities including the Brunn-Minkowski type inequality, cyclic inequality and monotonic inequalities, and give an affirmative answer and a negative answer of Busemann-Petty problem for the Lp radial Blaschke-Minkowski homomorphisms.Mathematics Subject Classification (2010): 52A20, 52A40, 52A39.Keywords: Lp radial Blaschke-Minkowski homomorphism, Lp-dual affine surface area, Brunn-Minkowski inequality, monotonic inequality, Busemann-Petty proble

    Log-Minkowski inequalities for the Lp LpL_{p}-mixed quermassintegrals

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    Abstract Böröczky et al. proposed the log-Minkowski problem and established the plane log-Minkowski inequality for origin-symmetric convex bodies. Recently, Stancu proved the log-Minkowski inequality for mixed volumes; Wang, Xu, and Zhou gave the Lp LpL_{p} version of Stancu’s results. In this paper, we define the Lp LpL_{p}-mixed quermassintegrals probability measure and obtain the log-Minkowski inequality for the Lp LpL_{p}-mixed quermassintegrals. As its application, we establish the Lp LpL_{p}-mixed affine isoperimetric inequality. In addition, we also consider the dual log-Minkowski inequalities for the Lp LpL_{p}-dual mixed quermassintegrals

    Subgrid scale fluid velocity timescales seen by inertial particles in large-eddy simulation of particle-laden turbulence

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    Large-eddy simulation (LES) has emerged as a promising tool for simulating turbulent flows in general and, in recent years,has also been applied to the particle-laden turbulence with some success (Kassinos et al., 2007). The motion of inertial particles is much more complicated than fluid elements, and therefore, LES of turbulent flow laden with inertial particles encounters new challenges. In the conventional LES, only large-scale eddies are explicitly resolved and the effects of unresolved, small or subgrid scale (SGS) eddies on the large-scale eddies are modeled. The SGS turbulent flow field is not available. The effects of SGS turbulent velocity field on particle motion have been studied by Wang and Squires (1996), Armenio et al. (1999), Yamamoto et al. (2001), Shotorban and Mashayek (2006a,b), Fede and Simonin (2006), Berrouk et al. (2007), Bini and Jones (2008), and Pozorski and Apte (2009), amongst others. One contemporary method to include the effects of SGS eddies on inertial particle motions is to introduce a stochastic differential equation (SDE), that is, a Langevin stochastic equation to model the SGS fluid velocity seen by inertial particles (Fede et al., 2006; Shotorban and Mashayek, 2006a; Shotorban and Mashayek, 2006b; Berrouk et al., 2007; Bini and Jones, 2008; Pozorski and Apte, 2009).However, the accuracy of such a Langevin equation model depends primarily on the prescription of the SGS fluid velocity autocorrelation time seen by an inertial particle or the inertial particle–SGS eddy interaction timescale (denoted by \delt T_{Lp} and a second model constant in the diffusion term which controls the intensity of the random force received by an inertial particle (denoted by C_0, see Eq. (7)). From the theoretical point of view, dTLp differs significantly from the Lagrangian fluid velocity correlation time (Reeks, 1977; Wang and Stock, 1993), and this carries the essential nonlinearity in the statistical modeling of particle motion. dTLp and C0 may depend on the filter width and particle Stokes number even for a given turbulent flow. In previous studies, dTLp is modeled either by the fluid SGS Lagrangian timescale (Fede et al., 2006; Shotorban and Mashayek, 2006b; Pozorski and Apte, 2009; Bini and Jones, 2008) or by a simple extension of the timescale obtained from the full flow field (Berrouk et al., 2007). In this work, we shall study the subtle and on-monotonic dependence of \delt T_{Lp} on the filter width and particle Stokes number using a flow field obtained from Direct Numerical Simulation (DNS). We then propose an empirical closure model for δTLp\delta T_{Lp}. Finally, the model is validated against LES of particle-laden turbulence in predicting single-particle statistics such as particle kinetic energy. As a first step, we consider the particle motion under the one-way coupling assumption in isotropic turbulent flow and neglect the gravitational settling effect. The one-way coupling assumption is only valid for low particle mass loading

    Lp-PLA<sub>2</sub> mass and activity levels stratified by race in MESA.

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    (A). Lp-PLA2 mass was measured using the PLACTM test (17). In Caucasians, Lp-PLA2 mass was 188.1 [164.8–213.5] ng/ml (median [IQR], N = 1968); African-Americans, 162.2 [136.5–188.1], N = 1166; Hispanic, 175.8 [153.9–198.5], N = 1138; and Chinese-Americans, 163.8 [136.8–187.4], N = 643. (B). Lp-PLA2 activity was measured by a radiometric assay using tritium-labeled platelet activating factor [3H]PAF as the substrate (17). In Caucasians, median Lp-PLA2 activity was 153.0 [129.1–179.1] nmol/min/ml (median [IQR], N = 1981); African-Americans, 134.4 [112.8–158.3], N = 1208; Hispanic, 151.2 [127.2–172.8], N = 1159; and Chinese-Americans, 154.7 [127.2–177.6], N = 645. Kruskal-Wallis rank sum test indicated that there were significant overall differences in either Lp-PLA2 mass or activity across race/ethnic groups (P = 1.2×10−88 and P = 3.1×10−49 respectively). Wilcoxon rank sum test indicated that in Caucasians and Hispanics Lp-PLA2 mass was significantly higher than in African-Americans and Chinese-Americans (Bonferroni corrected P = 4.9×10−67 and P = 1.4×10−46, respectively), while for Lp-PLA2 activity, Caucasians, Hispanics, and Chinese-Americans had significantly higher levels than African-Americans (Bonferroni corrected P = 1.2×10−47,1.3×10−19, 4.7×10−48, respectively).</p

    Proper cocycles, measure equivalence and Lp-Fourier multipliers

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    We develop a new transference method for completely bounded Lp-Fourier multipliers via proper cocycles arising from probability measure-preserving group actions. This method extends earlier results by Haagerup and Jolissaint, which were limited to the case p=∞. Based on this approach, we present a new and simple proof of the main result in [Hong-Wang-Wang, Mem. Amer. Math. Soc. 2024] regarding the pointwise convergence of noncommutative Fourier series on amenable groups, refining the associated estimate for maximal inequalities. In addition, this framework yields a transference principle for Lp-Fourier multipliers from lattices in linear Lie groups to their ambient groups, establishing a noncommutative analogue of Jodeit's theorem. As a further application, we construct a natural analogue of the Hilbert transform on SL2(ℝ)

    High temperature operation of 650nm AlGaInP quantum well laser diodes grown by LP-MOCVD

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    Low threshold current and high temperature operation of 650nm AlGaInP quantum well laser diodes grown by low pressure metal organic chemical vapor deposition (LP-MOCVD) are reported in this paper. 650nm laser diodes with threshold current as low as 22-24mA at room temperature, and the operating temperature over 90 degrees C at CW output power 5 mW were achieved in this study. These lasers are stable during 72 hours burn in under 5mW at 90 degrees C

    Bent Partitions And Lp-Packings

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    This thesis investigates the recently introduced concepts of bent partitions, LPpackings,and their interrelations, including their connection to vectorial dual-bentfunctions. We begin by showing that LP-packings give rise to (normal) bent partitions.Using examples involving ternary bent functions, we demonstrate that LPpackingsand bent partitions represent fundamentally different concepts.We then extend a known lifting procedure from Desarguesian spreads to LP-packingsin non-elementary abelian groups to a lifting procedure from generalized Desarguesianspreads to LP-packings in non-elementary abelian groups as well as largerelementary abelian groups. This generalization broadens the scope of known constructionsof LP-packings.In the final part, we explore secondary constructions of a class of vectorial dual-bentfunctions corresponding to bent partitions with a specific property. One constructionis based on the direct sum of vectorial functions, while the other generalizes a methodoriginally introduced by Wang, Fu, and Wei in [34]. These approaches yield a widevariety of vectorial bent functions, bent partitions
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