THE ANALYTIC KREIN-MILMAN PROPERTY IN BANACH SPACES

In the papaer, it is defined the analytic Krein-Milman property for plurisubharmonic convex subsets in complex Banach spaces and studied the relation between it and the analytic Radon-Nikodym property.

Analytical solution for the effective elastic properties of rocks with the tilted penny-shaped cracks in the transversely isotropic background

Seismic prediction of cracks is of great significance in many disciplines,for which the rock physics model is indispensable.However,up to now,multitudinous analytical models focus primarily on the cracked rock with the isotropic background,while the explicit model for the cracked rock with the anisotropic background is rarely investigated in spite of such case being often encountered in the earth.Hence,we first studied dependences of the crack opening displacement tensors on the crack dip angle in the coordinate systems formed by symmetry planes of the crack and the background anisotropy,respectively,by forty groups of numerical experiments.Based on the conclusion from the experiments,the analytical solution was derived for the effective elastic properties of the rock with the inclined penny-shaped cracks in the transversely isotropic background.Further,we comprehensively analyzed,according to the developed model,effects of the crack dip angle,background anisotropy,filling fluid and crack density on the effective elastic properties of the cracked rock.The analysis results indicate that the dip angle and background anisotropy can significantly either enhance or weaken the anisotropy degrees of the P-and SH-wave velocities,whereas they have relatively small effects on the SV-wave velocity anisotropy.Moreover,the filling fluid can increase the stiffness coefficients related to the compressional modulus by reducing crack compliance parameters,while its effects on shear coefficients depend on the crack dip angle.The increasing crack density reduces velocities of the dry rock,and decreasing rates of the velocities are affected by the crack dip angle.By comparing with exact numerical results and experimental data,it was demonstrated that the proposed model can achieve high-precision estimations of stiffness coefficients.Moreover,the assumption of the weakly anisotropic background results in the consistency between the proposed model and Hudson's published theory for the orthorhombic rock.

Analytical Descriptions of Magnetic Properties and Magnetoresistance in n-Type HgCr_2Se_4

We present a detailed investigation of magnetic properties of colossal magnetoresistance material HgCr2Se4. While spontaneous magnetization and zero-field magnetic susceptibility are found to follow asymptotic scaling laws for a narrow range of temperatures near the critical point, two methods with connections to the renormalization group theory provide analytical descriptions of the magnetic properties for much wider temperature ranges. Based on this, an analytical formula is obtained for the temperature dependence of the low field magnetoresistance in the paramagnetic phase.

VECTOR-VALUED HOLOMORPHIC FUNCTIONS ON THE COMPLEX BALL AND THE ANALYTIC RADON-NIKODYM PROPERTY

The complex Banach spaces X with values in which every bounded holomorphic function in the unit hall B of C-d(d > 1) has boundary limits almost surely are exactly the spaces with the analytic Radon-Nikodym property. The proof is based on inner Hardy martingales introduced here. The inner Hardy martingales are constructed in terms of inner functions in B and are reasonable discrete approximations for the image processes of the holomorphic Brownian motion under X-valued holomorphic functions in B.

A Class of Complex Quasi-Orlicz Spaces and Their Analytic RN Property

Let X be a complex quasi Banach space and Φ:[0,∞)→[0,∞) an increasing convex function with Φ(0)=0 , lim t→∞Φ(t)=∞ and Φ∈Δ 2 . Then L * Φ(X) is a quasi Banach space with continuous quasi norm and L * Φ(X) has the ARNP if and only if X does.

Numerical Analysis of the Analytical Relationships between Angstrom Coefficients of Aerosols and Their Optical Properties for Four Types of Aerosols

In this paper, the authors numerically analyzed the analytical relationships between angstrom coefficients and optical properties of aerosols to the existing data extracted from OPAC at the spectral length of 0.25 μm to 2.5 μm at eight relative humidity for desert, urban, marine clean and continental clean aerosols. That is apart from their relationships with the wavelength that was determined, in this paper their relation with respect to aerosols’ type and RHs are determined. The properties extracted are scattering, absorption, and extinction coefficients and single scattering albedo. The results showed that the extinction and single scattering albedo are correct for all the aerosols but single scattering co-albedo is satisfied for only sahara and continental clean.

Analytical solutions for elastic binary nanotubes of arbitrary chirality

Analytical solutions for the elastic properties of a variety of binary nanotubes with arbitrary chirality are obtained through the study of systematic molecular mechanics. This molecular mechanics model is first extended to chiral binary nanotubes by introducing an additional out-of-plane inversion term into the so-called stick-spiral model, which results from the polar bonds and the buckling of binary graphitic crystals. The closed-form expressions for the longitudinal and circumferential Young's modulus and Poisson's ratio of chiral binary nanotubes are derived as functions of the tube diameter. The obtained inversion force constants are negative for all types of binary nanotubes, and the predicted tube stiffness is lower than that by the former stick-spiral model without consideration of the inversion term, reflecting the softening effect of the buckling on the elastic properties of binary nanotubes. The obtained properties are shown to be comparable to available density functional theory calculated results and to be chirality and size sensitive. The developed model and explicit solutions provide a systematic understanding of the mechanical performance of binary nanotubes consisting of III-V and II-VI group elements.

UNIVERSAL INTERPOLATING SEQUENCES ON SPACES OF ANALYTIC FUNCTIONS

This article derives the relation between universal interpolating sequences and some spectral properties of the multiplication operator by the independent variable z in case the underlying space is a Hilbert space of functions analytic on the open unit disk.

Prop erties for Certain Sub classes of Analytic Functions Asso ciated with Generalized Multiplier Transformation

In this paper, we introduce certain new subclasses of analytic functions defined by generalized multiplier transformation. By using the differential subordination, we study and investigate various inclusion properties of these classes. Also inclusion properties of these classes involving the integral operator are considered.

聚氨酯用作煤矸石固化材料综合性能研究

针对青海木里矿区露天煤矿风化煤矸石堆场边坡发生优先流现象导致土壤破坏、水土流失以及边坡不稳定等生态环境问题,选用高分子材料聚氨酯作为固化剂,通过固结表层风化煤矸石,达到固化坡面,降低坡面入渗率目的。针对聚氨酯固化煤矸石实际效果及关键影响因素研究尚不充分问题,本研究开展45组不同配比煤矸石—聚氨酯固化试件的单轴压缩试验,60组不同工况煤矸石—聚氨酯固化坡面的人工降雨试验,研究煤矸石—聚氨酯复合材料的主要力学性能、渗透性和技术经济,运用层次分析法对不同配合比进行综合评价,揭示其关键影响因素,筛选最优配比方案。结果表明:1)聚氨酯浓度对提高固化试件的抗压强度贡献最大,而弹性模量主要受煤矸石粒径大小的影响;2)固化煤矸石坡面的平均产流率与聚氨酯浓度成正比,与煤矸石密度成正比,与粒径成反比;平均产沙率与粒径、密度和聚氨酯浓度均成反比;稳定入渗率与粒径成正比,密度与聚氨酯浓度成反比,与密度成反比;3)综合评价45组煤矸石—聚氨酯固化方案,其中最优方案为煤矸石粒径0~0.5 mm、密度1.55 g/cm^(3),聚氨酯浓度3.5%,该煤矸石—聚氨酯固化方案能够大幅提升坡面的抗压强度,并有效降低入渗性能,同时保持较好的经济性(约17元/m^(2))。研究结果可为木里煤矿生态修复工程提供重要技术参考。

原辅料粉体学性质对片剂连续制造的影响

【目的】推进片剂连续制造技术的发展,分析粉体学性质在片剂连续制造中的重要性,进一步提升片剂连续制造的致密性和均匀性。【研究现状】综述物料输送、连续进料、连续混合、连续压片、连续辊压制粒、连续双螺杆制粒、连续流化床干燥等工艺过程,概括各工艺过程中使用的过程分析技术(process analytical technology,PAT)及监测工具,阐述原辅料粉末的关键原料特性对工艺过程和片剂关键质量属性的影响。【结论与展望】提出应当对具有多变性质的原辅料进行全面表征,预测流动性和成形性,建立物料库并进行分类,有利于选择工艺参数、优化工艺性能、完善处方设计;认为重视原辅料粉体性质并建立预测模型有利于减少裂片、含量不均匀等质量问题及堵塞、黏壁等生产问题。

核磁共振波谱法测定石油中的组分及性质

核磁共振是基于原子核的物理现象来研究物质的结构和性质,目前核磁共振分析方法大量应用于医疗、化工工业等方面的分析研究。针对石化产品蒸馏装置常一线产品馏程的分析,通过分析建模、人机比对等工作确定了,核磁共振分析方法可以应用于产品的快速分析。同时为进一步扩展其分析应用的范围,将分析项目拓宽为蒸馏、焦化、柴油加氢、加氢裂化、焦化汽煤油加氢等轻质油的密度、全馏程等进行研究。实验设备主要依托DF-NMR-I型离线核磁共振分析仪,分别选取炼厂的蒸馏常一线油品、柴油油品等。相关测定参数参照国家标准方法。通过核磁共振原理,依靠采集油品的氢谱,可以很好地对油品做聚类分析;在大量数据的支撑下,通过建模的技术手段,可以达到对油品性质快速预测的功能,实现分析工作的高效性、高精度、实时性,这将会对化工行业油品分析产生深远影响。

中国数据要素市场产权配置改革评价机制构建与实证研究

明确数据产权配置的改革目标、判定数据产权配置的改革水平,从而指导产权政策优化与落实,是我国开展数据产权配置改革工作的先决条件。围绕权利分置、市场建设、治理保障和开拓创新4个维度,构建数据要素市场产权配置改革评价指标体系,并提出一种基于网络分析法和优化经典拓扑结构的一维卷积神经网络智能评价机制,对我国数据要素市场产权配置改革水平准确研判。研究发现:数据产权配置改革需重点关注权益分配公平性、效益产出持续性、税制改革创新性和软环境建设保障性;各地区数据产权配置改革水平存在显著差异,大体呈现出“东高西低、沿海高于内陆”的分布态势;改革水平并不简单等同于这个地区的行政级别、经济地位或资源禀赋。

多层古建筑木结构柱脚节点力学性能研究

开展了多层古建筑木结构柱脚节点试验研究,揭示了不同楼层柱脚节点的变形机理并评估了其力学性能,基于受力机理和刚体摆动特性建立了多层古建筑木结构柱脚节点简化力学模型。研究表明:上部楼层柱脚节点以木枋横纹嵌入变形为主且变形显著,底层柱脚节点以木柱顺纹受压变形为主但变形较小。随着竖向荷载的增加,柱脚节点弯矩承载力增加,但上部楼层柱脚节点弯矩-转角滞回曲线捏拢现象明显,强度退化因子在0.8~0.9;底层柱脚节点弯矩-转角滞回环高度重叠,强度退化因子大于0.95。上部楼层柱脚节点耗能能力随竖向荷载的增加而增加,处于较低竖向应力状态的柱脚节点耗能增幅较为显著。简化力学模型与试验曲线吻合良好,可用于多层古建筑木结构性能分析。

基于两性一度的无机及分析化学混合式教学探究与实践

混合式教学是高等教育教学新常态,以无机及分析化学课程为例,在“高阶性、创新性、挑战度”(两性一度)的要求下,探索多种教学方法与混合式教学相互融合,设计与实践课前-课中-课后教学过程,推进课堂改革,提高学生学习积极性和参与度,注重学习体验。

Estimation of the effective properties of two-dimensional cellular materials:a review

In a vast number of engineering fields like medicine,aerospace or robotics,materials are required to meet unusual performances that simple homogeneous materials are often not able to fulfil.Consequently,many efforts are currently devoted to develop future generations of materials with enhanced properties and unusual functionalities.In many instances,biological systems served as a source of inspiration,as in the case of cellular materials.Commonly observed in nature,cellular materials offer useful combinations of structural properties and low weight,yielding the possibility of coexistence of what used to be antagonistic physical properties within a single material.Due to their peculiar characteristics,they are very promising for engineering applications in a variety of industries including aerospace,automotive,marine and constructions.However,their use is conditional upon the development of appropriate constitutive models for revealing the complex relations between the microstructure's parameters and the macroscopic behavior.From this point of view,a great variety of analytical and numerical techniques have been proposed and exhaustively discussed in recent years.Noteworthy contributions,suggesting different assumptions and techniques are critically presented in this review paper.

Mechanical property of U-Shaped 65Mn steel bumpers for seismic base isolation

This study proposes a novel U-shaped 65Mn steel bumper as the displacement restraining device for base-isolated structures with laminated elastomeric rubber bearings.A series of bumpers with different geometric parameters were designed and tested under monotonic and cyclic quasi-static loading protocols.The experimental results from a total of 232 specimens were analyzed to develop an analytical model to calculate the backbone curve and the maximum elastic restoring force for U-shaped 65Mn bumpers.Thus,the analytical equations to calculate the elastic,hardening,and unloading stiffness of U-shaped 65Mn bumpers,as well as their maximum elastic restoring force,are validated by using an additional ten groups of bumpers with varying radiuses.These analytical equations can accurately predict the mechanical parameters of U-shaped 65Mn steel bumpers for a design purpose.

Mechanical properties of lattice grid composites

An equivalent continuum method only considering the stretching deformation of struts was used to study the in-plane stiffness and strength of planar lattice grid com- posite materials. The initial yield equations of lattices were deduced. Initial yield surfaces were depicted separately in different 3D and 2D stress spaces. The failure envelope is a polyhedron in 3D spaces and a polygon in 2D spaces. Each plane or line of the failure envelope is corresponding to the yield or buckling of a typical bar row. For lattices with more than three bar rows, subsequent yield of the other bar row after initial yield made the lattice achieve greater limit strength. The importance of the buckling strength of the grids was strengthened while the grids were relative sparse. The integration model of the method was used to study the nonlinear mechanical properties of strain hardening grids. It was shown that the integration equation could accurately model the complete stress-strain curves of the grids within small deformations.

Mechanical properties of lattice grid composites

Unfortunately, an error occurred in Fig. 12. The corrected Fig. 12 is given below.

Near-field properties of diffraction through a circular subwavelength-size aperture

Analytical nonparaxial vectorial electric field expressions for both Gaussian beams and plane waves diffracted through a circular aperture are derived by using the vector plane angular spectrum method for the first time, which is suitable for the subwavelength aperture and the near-field region. The transverse properties of intensity distributions and their evolutions with the propagating distance, and the power transmission functions for diffracted fields containing the whole field, the evanescent field and the propagating field are investigated in detail, which is helpful for understanding the relationship between evanescent and propagating components in the near-field region and can be applied to apertured near-field scanning optical microscopy.