A coaxially fed dual-band electrically
small antenna based on double-negative metamaterials is presented in this
letter. The antenna consists of a microstrip patch antenna as driven element
and a double-negative metamaterials shell as parasitic element. Nearly complete
matching of the entire system to a 50 Ω source without any matching network is
achieved at 299 MHz and 837 MHz, with ka = 0.444 and 1.242 respectively.
Measured performance agrees with simulations, and the proposed antenna has
considerable radiation efficiency and is suitably employed for VHF and UHF applications.

Abstract:
Crystals of the title compound, C16H12N2O4, were obtained accidentally from a hydrothermal reaction of 5-[(1H-benzimidazol-1-yl)methyl]isophthalic acid with manganese bromide in the presence of N,N′-dimethylformamide. In the title molecule, the benzimidazole ring system is almost planar, with a maximum deviation from the mean plane of 0.010 (2) . The benzimidazole and central benzene rings are inclined at a dihedral angle of 71.7 (6)°. The crystal structure is stabilized by O—H...N and O—H...O hydrogen bonds.

Abstract:
In the title complex, [Mn(C10H7N6)2(H2O)4], the Mn2+ cation is located on a twofold rotation axis and is coordinated by two N atoms from two 5-[4-(imidazol-1-yl)phenyl]tetrazolide ligands and four O atoms from four water molecules, displaying a distorted MnN2O4 octahedral geometry. The crystal structure is stabilized by intermolecular O—H...N hydrogen bonds involving the coordinated water molecules and the N atoms of the tetrazolide group.

Abstract:
In the title complex, [Zn(C6H3N3O3S)(C12H8N2)]n, the Zn2+ cation is coordinated by two N atoms from two 4-sulfonatobenzotriazolide dianions, two N atoms from a 1,10-phenanthroline molecule and a sulfonate O atom from a 4-sulfonatobenzotriazolide anion, displaying a distorted ZnN4O trigonal–bipyramidal geometry. Each 1,10-phenanthroline ligand displays a bidentate chelating coordinating mode and the 4-sulfonatobenzotriazolide ions act as μ2-bridges, linking different Zn2+ cations into a chain along the b axis. The crystal structure is consolidated by C—H...O hydrogen-bonding interactions.

Abstract:
Harboring the behavioral and histopathological signatures of Alzheimer's disease (AD), senescence accelerated mouse-prone 8 (SAMP8) mice are currently considered a robust model for studying AD. However, the underlying mechanisms, prioritized pathways and genes in SAMP8 mice linked to AD remain unclear. In this study, we provide a biological interpretation of the molecular underpinnings of SAMP8 mice. Our results were derived from differentially expressed genes in the hippocampus and cerebral cortex of SAMP8 mice compared to age-matched SAMR1 mice at 2, 6, and 12 months of age using cDNA microarray analysis. On the basis of PPI, MetaCore and the co-expression network, we constructed a distinct genetic sub-network in the brains of SAMP8 mice. Next, we determined that the regulation of synaptic transmission and apoptosis were disrupted in the brains of SAMP8 mice. We found abnormal gene expression of RAF1, MAPT, PTGS2, CDKN2A, CAMK2A, NTRK2, AGER, ADRBK1, MCM3AP, and STUB1, which may have initiated the dysfunction of biological processes in the brains of SAMP8 mice. Specifically, we found microRNAs, including miR-20a, miR-17, miR-34a, miR-155, miR-18a, miR-22, miR-26a, miR-101, miR-106b, and miR-125b, that might regulate the expression of nodes in the sub-network. Taken together, these results provide new insights into the biological and genetic mechanisms of SAMP8 mice and add an important dimension to our understanding of the neuro-pathogenesis in SAMP8 mice from a systems perspective.

Abstract:
This paper is devoted to characterizing the analytic Campanato spaces $\mathcal{AL}_{p,\eta}$ (including the analytic Morrey spaces, the analytic John-Nirenberg space, and the analytic Lipschitz/H\"older spaces) on the complex unit disk $\mathbb D$ in terms of the M\"obius mapping and the Littlewood-Paley form, and consequently their compositions with the analytic self-maps of $\mathbb D$.

Abstract:
Let $X= \{X(x): x\in \mathbb{S}^N\}$ be a real-valued, centered Gaussian random field indexed on the $N$-dimensional unit sphere $\mathbb{S}^N$. Approximations to the excursion probability ${\mathbb P}\big\{\sup_{x\in \mathbb{S}^N} X(x) \ge u \big\}$, as $u\to \infty$, are obtained for two cases: (i) $X$ is locally isotropic and its sample path is non-smooth and; (ii) $X$ is isotropic and its sample path is twice differentiable. For case (i), it is shown that the asymptotics is similar to Pickands' approximation on the Euclidean space which involves Pickands' constant; while for case (ii), we use the expected Euler characteristic method to obtain a more precise approximation such that the error is super-exponentially small.

Abstract:
Let $X = {X(t), t\in \R^{N}}$ be a centered Gaussian random field with stationary increments and let $T \subset \R^N$ be a compact rectangle. Under $X(\cdot) \in C^2(\R^N)$ and certain additional regularity conditions, the mean Euler characteristic of the excursion set $A_u = {t\in T: X(t)\geq u}$, denoted by $\E{\varphi(A_u)}$, is derived. By applying the Rice method, it is shown that, as $u \to \infty$, the excursion probability $\P{\sup_{t\in T} X(t) \geq u}$ can be approximated by $\E{\varphi(A_u)}$ such that the error is exponentially smaller than $\E{\varphi(A_u)}$. This verifies the expected Euler characteristic heuristic for a large class of Gaussian random fields with stationary increments.

Abstract:
We consider the efficient estimation of the semiparametric additive transformation model with current status data. A wide range of survival models and econometric models can be incorporated into this general transformation framework. We apply the B-spline approach to simultaneously estimate the linear regression vector, the nondecreasing transformation function, and a set of nonparametric regression functions. We show that the parametric estimate is semiparametric efficient in the presence of multiple nonparametric nuisance functions. An explicit consistent B-spline estimate of the asymptotic variance is also provided. All nonparametric estimates are smooth, and shown to be uniformly consistent and have faster than cubic rate of convergence. Interestingly, we observe the convergence rate interfere phenomenon, i.e., the convergence rates of B-spline estimators are all slowed down to equal the slowest one. The constrained optimization is not required in our implementation. Numerical results are used to illustrate the finite sample performance of the proposed estimators.