带有凸和局部Lipschitz势函数的周期边值问题解的存在性(英文)

本文主要研究了带有凸和局部Lipschitz势函数的二阶周期微分包含解的存在性.通过对势函数合理的假设,利用非光滑的最小作用定理验证了由凸和局部Lipschitz泛函构成的能量泛函非光滑的PS-条件,以及能量泛函广义临界点的存在性.     

An adaptive nonparametric method in benchmark analysis for bioassay and environmental studies

We present a novel nonparametric method for bioassay and benchmark analysis in risk assessment, which averages isotonic MLEs based on disjoint subgroups of dosages. The asymptotic theory for the methodology is derived, showing that the MISEs (mean integrated squared error) of the estimates of both the dose-response curve F and its inverse F(-1) achieve the optimal rate O(N(-4/5)). Also, we compute the asymptotic distribution of the estimate ζ~p of the effective dosage ζ(p) = F(-1) (p) which is shown to have an optimally small asymptotic variance.     

Approximation of convex bodies by multiple objective optimization and an application in reachable sets

In this paper, we focus on approximating convex compact bodies. For a convex body described as the feasible set in objective space of a multiple objective programme, we show that finding it is equivalent to finding the non-dominated set of a multiple objective programme. This equivalence implies that convex bodies can be approximated using multiple objective optimization algorithms. Therefore, we propose a revised outer approximation algorithm for convex multiple objective programming problems to approximate convex bodies. Finally, we apply the algorithm to solve reachable sets of control systems and use numerical examples to show the effectiveness of the algorithm.     

Growth of La2CuO4 nanofibers under a mild condition by using single walled carbon nanotubes as templates

La₂CuO₄ nanofibers (ca. 30 nm in diameter and 3 μm in length) have been grown in situ by using single walled carbon nanotubes (SWNTs; ca. 2 nm in inner diameter; made via cracking CH₄ over the catalyst of Mg_0.8Mo_0.05Ni_0.10Co_0.05O_x at 800 °C) as templates under mild hydrothermal conditions and a temperature around 60 °C. During synthesis, the surfactant poly(ethylene glycol)-block-poly(propylene glycol)-block-poly(ethylene glycol) and H₂O₂ were added to disperse SWNTs and oxidize the reactants, respectively. The structure of La₂CuO₄ nanofibers was confirmed by powder X-ray diffraction (XRD) and their morphologies were observed with field emission scanning electron microscope (FESEM) at the hydrothermal synthesis lasting for 5, 20 and 40 h, respectively. The La₂CuO₄ crystals grew from needle-like (5 h) through stick-like (20 h) and finally to plate-like (40 h) fibers. Twenty hours is an optimum reaction time to obtain regular crystal fibers. The La₂CuO₄ nanofibers are probably cubic rather than round and may capsulate SWNTs.     

丙烯热反应生成甲基环戊烷的理论探讨

在UHF／3-21G水平上,应用从头算分子轨道法和能量梯度技术,并用Mller-Plesset二级微扰理论对能量进行了相关能校正,研究了丙烯在800K热反应形成甲基环戊烷的反应机理．求得该反应分三步进行：（1）两分子丙烯相互作用产生1,4-双自由基中间体;（2）1,4-双自由基中间体经氢迁移过程生成1,5-双自由基中间体;（3）1,5-双自由基中间体闭环形成甲基环戊烷．理论计算所得的机理与实验工作者推测一致．     

一个实用的微机资料管理系统

本文介绍了一个实际使用的系统,并对“微机资料管理”中的查南速度、节省存贮空间和保密问题进行了讨论。     

A Class of Activatable NIR-II Photoacoustic Dyes for High-Contrast Bioimaging

Photoacoustic (PA) imaging is emerging as one of the important non-invasive imaging techniques in biomedical research. Small molecule- second near-infrared window (NIR-II) PA dyes combined with imaging data can provide comprehensive and in-depth in vivo physiological and pathological information. However, the NIR-II PA dyes usually exhibit “always-on” properties due to the lack of a readily optically tunable group, which hinders the further applications in vivo. Herein, a novel class of dyes GX have been designed and synthesized as an activatable NIR-II PA platform, in which the absorption/emission wavelength of GX-5 extends up to 1082/1360 nm. Importantly, the GX dyes have a strong tissue penetration depth and high-resolution for the mouse vasculature structures in NIR-II PA 3D imaging and high signal-to-noise ratio in NIR-II fluorescence (FL) imaging. Furthermore, to demonstrate the applicability of GX dyes, the first NIR-II PA probe GX-5-CO activated by carbon monoxide (CO) was engineered and employed to reveal the enhancement of the CO levels in the hypertensive mice by high-contrast NIR-II PA and FL imaging. We expect that many derivatives of GX dyes will be developed to afford versatile NIR-II PA platforms for designing a wide variety activatable NIR-II PA probes as biomedical tools.     

Novel zinc fluorescent probe bearing dansyl and aminoquinoline groups

A novel fluorescent chemosensor (L) demonstrates a remarkable selectivity and sensitivity for zinc(II) ion as evidenced from the solution characterisations and in vitro experiments using Hela cell lines.     

Growth, thermal and spectral properties of Nd-doped NaGd(MoO4)2 crystal

Nd³⁺-doped NaGd(MoO₄)₂ crystal with dimensions were grown by Czochralski method. Nd³⁺:NaGd(MoO₄)₂ crystal melts at 1182 °C. The hardness of Nd³⁺:NaGd(MoO₄)₂ crystal is 334 VDH. The specific heat is 72.6 cal/mol K. The thermal expansion coefficients are for c-axis and for a-axis, respectively. The absorption cross-sections of Nd³⁺:NaGd(MoO₄)₂ crystal are with a FWHM of 9 nm at the 804 nm for π-polarization and with a FWHM of 17 nm at 807 nm for σ-polarization, respectively. The emission cross-section σ_em are at 1063 nm for π-polarization and 1.94×10^-20 at 1070 nm cm² for σ-polarization, respectively. The fluorescence lifetime τ_f is 93.9 μs at room temperature.