非线性拟抛物型积分微分方程的初边值问题和初值问题

本文研究非线性拟抛物积分微分方程的初边值问题和初值问题。运用Galerkin方程结合能量估计证明了问题的整体强解的生存性、唯一性和稳定性，最后在一定条件下讨论了初边值问题整体解的不存在性和爆破问题。     

应用于2.1μm激光的Tm~(3+)/Ho~(3+)共掺氟碲酸盐微结构光纤研究

采用棒管法制备了低羟基含量的Tm~(3+)/Ho~(3+)共掺氟碲酸盐微结构光纤。当使用波长为1 560 nm的激光器泵浦Tm~(3+)/Ho~(3+)共掺光纤时,处于Tm~(3+)基态3H6的电子被激发至3F4能级,进一步通过Tm~(3+)和Ho~(3+)间的能量传递过程3F4→3H6(Tm~(3+)):5I8→5I7(Ho~(3+))(能量失配为745 cm-1)布居Ho~(3+)的5I7能级,5I7能级上的电子向5I8能级跃迁发射出2.1μm的光。使用1 560 nm光纤激光器作为泵浦源,18 cm长的Tm~(3+)/Ho~(3+)氟碲酸盐微结构光纤作为增益介质,获得了波长为2 063 nm的激光输出。所得激光的斜率效率为12.9%,激光阈值为163 m W,未饱和的最大输出功率为40 m W。研究结果表明,Tm~(3+)/Ho~(3+)共掺氟碲酸盐微结构光纤可用于制作2.1μm光纤激光器。     

N.M.R. Spectra of the Fuchs0Nes: Structure of Naphthofuchsone

Following the initial synthesis of the fuchsones¹I, (α, η -diphenyl-1,4-benzoquinone methides), numerous substituted members of this series have been described by workers interested in triphenylmethane dyes. The fuchsones have been synthesized by the sulfuric acid condensation of benzilic acid and appropriate phenol¹, by dehydration of 4-hydroxytriphenylcarbinol², by oxidation 4-hydroxytri-phenylmethane and by photochemically induced reactions benzophenones with 2,6-dialkylphenols⁴.     

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Studies on the workability of precise seeders by means of labelling methods has been possible due to the solution of the following problems: labelling of seeds, radiation collimation of labelled seeds being sown, elaboration of measuring and registering systems as well as processing systems of a measuring signal. The developed method allows for precise, quick and fully objective evaluation of the studied seeders to be done under natural conditions.     

A versatile entropic measure of grey level inhomogeneity

An entropic measure for the analysis of grey level inhomogeneity (GLI) is proposed as a function of length scale. It allows us to quantify the statistical dissimilarity of the actual macrostate and the maximizing entropy of the reference one. The maximums (minimums) of the measure indicate those scales at which higher (lower) average grey level inhomogeneity appears compared to neighbour scales. Even a deeply hidden statistical grey level periodicity can be detected by the equally distant minimums of the measure. The striking effect of multiple intersecting curves (MICs) of the measure has been revealed for pairs of simulated patterns, which differ in shades of grey or symmetry properties only. In turn, for evolving photosphere granulation patterns, the stability in time of the first peak position has been found. Interestingly, the third peak is dominant at initial steps of the evolution. This indicates a temporary grouping of granules at a length scale that may belong to the mesogranulation phenomenon. This behaviour has similarities with that reported by Consolini, Berrilli et al. [G. Consolini, F. Berrilli, A. Florio, E. Pietropaolo, L.A. Smaldone, Astron. Astrophys. 402 (2003) 1115; F. Berrilli, D. Del Moro, S. Russo, G. Consolini, Th. Straus, Astrophys. J. 632 (2005) 677] for binarized granulation images of a different data set.     

一个Grüs型积分不等式的单参数推广

利用Cauchy中值定理给出Pachpatte B G建立的一个Grüss型积分不等式的单参数推广.     

Temperature dependent characteristics of La2O2S: Ln [Ln=Eu, Tb] with various Ln concentrations over 5-60 °C

This research is aimed at developing an optical sensor for remotely measuring human skin temperature in electromagnetically hostile environments, such as within a magnetic resonance imaging (MRI) scanner. In this feasibility study, various concentrations of europium-doped lanthanum oxysulphide (La₂O₂S: Eu—0.1-15 mol% (m/o)) and terbium-doped lanthanum oxysulphide (La₂O₂S: Tb—0.005-50 m/o) have been investigated in terms of crystallinity, photoluminescent (PL) spectral and decay time characteristics. For both phosphors, X-ray diffraction (XRD) has shown that as dopancy increases, the (1 0 0) and (0 0 2) reflections merge and there is a reduction in the c-axis parameter as well as the crystallite size. Photoluminescent characterisation (337 nm excitation) has also shown a dependency to dopant concentration through variance of peak intensity. Temperature dependent decay time measurements were carried out over a low temperature range 5-60 °C. Optimum brightness of these temperature dependent lines is achieved at concentrations of 1 and 10 m/o for La₂O₂S: Eu and La₂O₂S: Tb respectively. However, optimum temperature dependency is achieved at lower concentration for La₂O₂S: Eu, specifically at 0.1 m/o. In comparison to conventional phosphor temperature dependent characteristic, La₂O₂S: Tb showed an increase in decay time with respect to temperature for concentrations above 2 m/o.     

Nonstoichiometric laser materials: Designer wavelengths in neodymium-doped garnets

The tunable nature of lasers provides for a wide range of applications. Most applications rely on finding available laser wavelengths to meet the needs of the research. This article presents the concept of compositional tuning, whereby the laser wavelength is designed by exploiting nonstoichiometry. For research where precise wavelengths are required, such as remote sensing, this is highly advantageous. A theoretical basis for the concept is presented and experimental results in spectroscopic measurements support the theoretical basis. Laser operation nicely demonstrates the validity of the concept of designer lasers.     

On pre-Λ-Sets and pre-v-Sets

We introduce the notions of a pre--set and a pre-V-set in a topological space. We study the fundamental properties of pre--sets and pre-V-sets and investigate the topologies defined by these families of sets.