Utilizing the Updated Gamma-Ray Bursts and Type Ia Supernovae to Constrain the Cardassian Expansion Model and Dark Energy

We update gamma-ray burst (GRB) luminosity relations among certain spectral and light-curve features with 139 GRBs. The distance modulus of 82 GRBs at $z>1.4$ can be calibrated with the sample at $z\leq1.4$ by using the cubic spline interpolation method from the Union2.1 Type Ia supernovae (SNe Ia) set. We investigate the joint constraints on the Cardassian expansion model and dark energy with 580 Union2.1 SNe Ia sample ($z<1.4$) and 82 calibrated GRBs data ($1.4<z\leq8.2$). In $\Lambda$CDM, we find that adding 82 high-\emph{z} GRBs to 580 SNe Ia significantly improves the constrain on $\Omega_{m}-\Omega_{\Lambda}$ plane. In the Cardassian expansion model, the best fit is $\Omega_{m}= 0.24_{-0.15}^{+0.15}$ and $n=0.16_{-0.52}^{+0.30}$ $(1\sigma)$, which is consistent with the $\Lambda$CDM cosmology $(n=0)$ in the $1\sigma$ confidence region. We also discuss two dark energy models in which the equation of state $w(z)$ is parametrized as $w(z)=w_{0}$ and $w(z)=w_{0}+w_{1}z/(1+z)$, respectively. Based on our analysis, we see that our Universe at higher redshift up to $z=8.2$ is consistent with the concordance model within $1\sigma$ confidence level.Comment: 17 pages, 6 figures, 2 tables; accepted for publication in Advances in Astronomy, special issue on Gamma-Ray Burst in Swift and Fermi Era. arXiv admin note: text overlap with arXiv:0802.4262, arXiv:0706.0938 by other author

1,8-Bis(4-fluoro­phen­yl)naphthalene

In the title compound, C22H14F2, the two benzene rings are oriented with respect to the naphthalene ring system at 67.76 (8) and 67.50 (8)°, and the two benzene rings are twisted with respect to each other at 18.95 (10)°. Weak inter­molecular C—H⋯π inter­actions are present in the crystal structure

Parameterized Multi-observable Sum Uncertainty Relations

The uncertainty principle is one of the fundamental features of quantum mechanics and plays an essential role in quantum information theory. We study uncertainty relations based on variance for arbitrary finite $N$ quantum observables. We establish a series of parameterized uncertainty relations in terms of the parameterized norm inequalities, which improve the exiting variance-based uncertainty relations. The lower bounds of our uncertainty inequalities are non-zero unless the measured state is the common eigenvector of all the observables. Detailed examples are provided to illustrate the tightness of our uncertainty relations.Comment: 12 pages, 3 figure

Nonlinear Decoupling Sliding Mode Control of Permanent Magnet Linear Synchronous Motor Based on α-th Order Inverse System Method

AbstractIn this paper, a nonlinear dynamic decoupling controller is proposed for the permanent magnet linear synchronous motor (PMLSM) servo system to improve dynamic operating performance. Firstly, the reversibility of the PMLSM mathematical model is analyzed, and it is proved that the system is reversible. Then an inverse system method is applied to the PMLSM servo system, and it is decoupled into a linear velocity subsystem and a linear current subsystem based on the α-th order inverse system method. Considering the both ideal linear subsystems are sensitive to parameter disturbances and various disturbances, a variable rate reaching law approach based subsystem sliding mode controller for higher system stability and robustness is proposed. Finally, simulation results are provided to demonstrate the effectiveness of the proposed control method

Tribological properties of surface dimple-textured by pellet-pressing

AbstractSurface texturing is thought to be as an effective tribological method of decreasing friction coefficient of contact pairs. Firstly, AISI1045 steel surface is dimple-textured by a convenient and economical way of pellet-pressing, then, the textured and polished samples is against SiC ball lubricated by engine oil to carry out tribological tests in reciprocating mode in tribomachine type UMT-II. It is concluded that surface dimple-texture made by pellet-pressing is beneficial to improve tribological properties lubricated by engine oil under10N load and 5mm/s sliding speed

Application of Painless Catheterization in Promoting Nursing Satisfaction of Elderly Patients

目的 探讨无痛导尿术提升高龄患者关怀护理满意度的应用效果。方法 将80例女性手术患者随机分为试验组和对照组，每组各40例。对照组以常规方法行术前导尿，试验组行无痛导尿术及关怀护理操作法，比较两组患者导尿前后的心率、血压、血氧饱和度、疼痛程度、关怀护理满意程度的情况。结果 两组患者导尿后血压、心率的比较有显著性差异（р&lt;0.05）；导尿后对照组的疼痛程度高于试验组，差异有显著性（р&lt;0.05）；试验组患者满意度高于对照组，差异有显著统计学意义（р&lt;0.01）。结论 护士愿意在术前女性患者中采用无痛导尿术，不仅临床实施便利，增进护患交流，减少患者痛苦，拉近与患者的距离，能够提升患者对关怀护理的满意度。Objective: To explore the effect of painless catheterization on nursing care satisfaction of elderly patients. Methods: 80 cases of female patients were randomly divided into experiment group and control group, 40 cases in each group, using conventional methods of preoperative catheterization, painless catheterization and nursing care operation method. Results: The blood pressure and heart rate after catheterization were significantly different (р&lt;0.05). The degree of pain in the experiment group was higher than that in the control group after catheterization (р&lt;0.05). The satisfaction degree of the experiment group was higher than that of the control group (р&lt;0.01). Conclusion: Nurses are willing to use painless catheterization in preoperative, which not only facilitates clinical practice, but also improves the communication between patients and nurses, reduces patients' pain and shortens the distance between patients and patients, and improves the patients' satisfaction with nursing car