三维多项式系统焦点量的计算

Fix a collection of polynomial vector fields on R3with a singularity at the origin,for every one of which the linear part at the origin has two pure imaginary and one non-zero eigenvalue. Some such systems admit a local analytic first integral,which then defines a local center manifold of the system. Conditions for existence of a first integral are given by the vanishing certain polynomial or rational functions in the coefficients of the system called focus quantities. In this paper we prove that the focus quantities have a structure analogous to that in the two-dimensional case and use it to formulate an efficient algorithm for computing them.     

CHANGES IN BODY WEIGHT AND ORGAN WEIGHTS OF THE HEDGEHOG IN HIBERNATION AND IN FASTING

Under the circumstances of uninterrupted deep hibernation for periods cf three and half months in open air quarters, the body weight loss of the hedgehog proceeds at a rate of 1.04 g p3r day, or 1.37 g per day per kg.During experimental fasting, the body weight suffers at first a rapid decrease for 1-2 days and then a more gradual diminution at a uniform rate, followed sooner or later by a terminating phase of a slow decline concurrent with a fall in body temperature to the level of the ambient temperature. The duration of fasting compatible to life varies with the initial body weight, a few days for the ordinary hedgehogs and a month or more for the exceptionally fat ones. During the period of uniform decrease, the rate of body weight loss is 11-15 g per day, slightly more in the samll animals. However, when the rate of loss is expressed in terms of g per day per kg body weight, it varies from 9 g in the very fat animals of about 1300 g to as much as 54 g in the small ones between 200 and 300 g.In gene     

Preparation of CaB_6 powder via calciothermic reduction of boron carbide

The method of calciothermic reduction of B_4C was proposed for preparing CaB_6. The phase transition and morphology evolution during the reaction were investigated in detail. The experimental results reveal that Ca first reacts with B_4C to generate CaB_2C_2 and CaB_6 at a low temperature and that the CaB_2C_2 subsequently reacts with Ca to produce CaB_6 and CaC_2 at a high temperature. After the products were leached to remove the byproduct CaC_2, pure CaB_6 was obtained. The grain size of the prepared CaB_6 was 2–3 μm, whereas its particle size was 4–13 μm; it inherited the particle size of B_4C. The residual C content of the product was decreased to 1.03 wt% after the first reaction at 1173 K for 4 h and the second reaction at 1623 K for 4 h.     

Preparation of ultrahigh surface area porous carbons templated using zeolite 13X for enhanced hydrogen storage

In this report,the use of zeolite 13X as a template to generate ultrahigh surface area carbons,via a two-step process combining liquid impregnation and chemical vapour deposition is explored.The first step in the nanocasting process involves impregnation of zeolite 13X with furfuryl alcohol and the second step consists of chemical vapour deposition(CVD) of ethylene at 700 1C.Zeolite-like structural ordering was achieved for zeolite templated carbons(ZTCs) prepared at variable heating ramp rates of 5,10 or 15 1C/min.The textural properties of ZTCs prepared at all heating ramp rates were comparable with small variations in which the lowest ramp rate(5 1C/min) generated ZTC with highest surface area and pore volume of 3332 m 2 /g and 1.66 cm 3 /g respectively.The carbon materials achieved a remarkable hydrogen uptake of 7.3 wt% at 20 bar and 77 K which is the highest ever recorded for carbon materials.This report also explores the mechanical stability of the ZTCs via compaction at up to 10t(equivalent to 740 MPa) in which the compacted samples showed minimal modification and retained high hydrogen storage capacity.     

Identification and functional analysis of 23 novel box C／D snoRNAs from Oryza sativa

In a cDNA library generated from rice small nuclear RNAs,30box C/D small nucleolar RNAs (snoRNAs) were identiffied through preliminary screen.Except 7 known snoRNAs such as U14,all snoRNAs were identified in rice for the first time experimentally.Among the 23 novel snoRNAs,11 snoRNAs appear rice-specific,6 snoRNAs are unique to plants,the remaining 6 snoRNAs have their counterparts in both Arabidopsis and yeast or mammals according to the conserved antisense sequencs that guide 2‘-O-ribose methylation of rRNA,17 of the 23 novel snoRNAs were predicted to guide 24 2‘‘-O-ribose methylations at the specificsites of rice 5.8S,18S,25S rRNAs,among which 19 methylated sites were determined by primer extension at low dNTP concentrations.The remaining 6 snoRNAs devoid of rRNA antisense elements may represent novel snoRNA species in rice.The results show that constructing a cDNA library from small nuclear RNAs is an effective experimental approach for novel snoRNA is identification.The novel snoRNAs are important in elucidating the genomic organization and expression of plant snoRNA genes and the mechanism through which 2‘‘-O-ribose methylations took place in rRNAs.     

Nanostructured TiO2（B）:the effect of size and shape on anode properties for Li-ion batteries

Reducing the dimensions of electrode materials from the micron to the nanoscale can have a profound influence on their properties and hence on the performance of electrochemical devices,e.g.Li-ion batteries,that employ such electrodes.TiO2(B) has received growing interest as a possible anode for Li-ion batteries in recent years.It offers the possibility of higher energy storage compared with the commercialized Li4Ti5O12.Bulk,nanowire,nanotube,and nanoparticle morphologies have been prepared and studied.However,to date these materials have not be compared in one article.In the current review we first summarize the different synthesis methods for the preparation of nanostructured TiO2(B);then present the effects of size and shape on the electrochemical properties.Finally TiO2(B) with nanometer dimensions exhibit a higher capacity to store Li,regardless of rate,due to structural distortions inherent at the nanoscale.     

Bulk Al–Al_3Zr composite prepared by mechanical alloying and hot extrusion for high-temperature applications

Bulk Al/Al_3Zr composite was prepared by a combination of mechanical alloying(MA) and hot extrusion processes. Elemental Al and Zr powders were milled for up to 10 h and heat treated at 600℃ for 1 h to form stable Al_3Zr. The prepared Al_3Zr powder was then mixed with the pure Al powder to produce an Al–Al_3Zr composite. The composite powder was finally consolidated by hot extrusion at 550℃. The mechanical properties of consolidated samples were evaluated by hardness and tension tests at room and elevated temperatures. The results show that annealing of the 10-h-milled powder at 600℃ for 1 h led to the formation of a stable Al_3Zr phase. Differential scanning calorimetry(DSC) results confirmed that the formation of Al_3Zr began with the nucleation of a metastable phase, which subsequently transformed to the stable tetragonal Al_3Zr structure. The tension yield strength of the Al-10wt%Al_3Zr composite was determined to be 103 MPa, which is approximately twice that for pure Al(53 MPa). The yield stress of the Al/Al_3Zr composite at 300℃ is just 10% lower than that at room temperature, which demonstrates the strong potential for the prepared composite to be used in high-temperature structural applications.     

Cleaner and convenient preparation of 3-（4,6-dimethoxy-pyrimidin-2-yloxy）-2-methyl-phenol

Environmental concerns have highlighted the need of cleaner technologies. A cleaner, convenient and selective technology has been developed for the preparation of 3-(4,6-dimethoxy-pyrimidin-2-yloxy)-2-methyl-phenol (DPMP) from 2-methyl-benzene-1,3-diol in water as solvent. The isolated yield of DPMP is up to 86% in good selectivity. The product structure was characterized by conventional methods, 1^H-NMR and MS. This technology belongs to the modern concept of environmentally friendly low wastes or non-wastes technology (LWNWT).     

Bulk Al-Al3Zr composite prepared by mechanical alloying and hot extrusion for high-temperature applications

Bulk Al/Al₃Zr composite was prepared by a combination of mechanical alloying (MA) and hot extrusion processes. Elemental Al and Zr powders were milled for up to 10 h and heat treated at 600℃ for 1 h to form stable Al₃Zr. The prepared Al₃Zr powder was then mixed with the pure Al powder to produce an Al-Al₃Zr composite. The composite powder was finally consolidated by hot extrusion at 550℃. The mechanical properties of consolidated samples were evaluated by hardness and tension tests at room and elevated temperatures. The results show that annealing of the 10-h-milled powder at 600℃ for 1 h led to the formation of a stable Al₃Zr phase. Differential scanning calorimetry (DSC) results confirmed that the formation of Al₃Zr began with the nucleation of a metastable phase, which subsequently transformed to the stable tetragonal Al₃Zr structure. The tension yield strength of the Al-10wt%Al₃Zr composite was determined to be 103 MPa, which is approximately twice that for pure Al (53 MPa). The yield stress of the Al/Al₃Zr composite at 300℃ is just 10% lower than that at room temperature, which demonstrates the strong potential for the prepared composite to be used in high-temperature structural applications.     

A novel element (NIRS) participates in the regulation ofinterleukin 2 receptorαgene expression

A novel element at -153/- 143 bp in the interleukin 2 receptor α(IL-2Rα) gene has been coined as NRE-inverse repeat sequence (NIRS) due to its inversely repeated to the known negative regulatory element (NRE) further upstream of the gene. In order to explore the role of NIRS in the expression of IL-2Rαgene,luciferase reporter plasmids driven by 4 individually deleted IL-2Rα genes promoter regions were constructed. Transfection of the reporter plasmids into Jurkat cells and HeLa cells respectively, we found that both NIRS and NRE were critical for repressing the constitutive expression of IL-2Rα gene and were also necessary for promoter activity induced by PHA. EMSA results showed that double-stranded NRE- and NIRS-binding proteins existed in both HeLa cells and Jurkat cells. However, single-stranded NIRS- and NRE-binding protein was only found in HeLa cells. Interestingly, the supershift band showed up in EMSA system with Jurkat cells (no matter whether activated or not) adding to the cell lysate of HeLa cells. UV-crosslinking showed a double stranded NRE- and NIRS-binding protein p83 in both Jurkat cells and HeLa cells. Our results suggest that trans-acting factors play a key role in regulating promoter activity of IL-2Rα gene by interacting with double or single stranded NRE and/or NIRS selectively in different cells.     

Effects of Quenching Temperature and Time on Pore Diameter of Poly（3-hydroxybutyrate-co-3-hydroxyhexanoate） Porous Scaffolds and MC3T3-E1 Osteoblast Response to the Scaffolds

Poly(3-hydroxybutyrate-co-3-hydroxyhexanoate) (PHBHHx) scaffolds were prepared by thermally inducing phase separation (TIPS) for bone reconstruction. Scanning electron microscopy and porosity measurements were used to analyze the structure and properties of the scaffolds. The pore diameter of the scaffolds could be easily controlled by changing the quenching temperature and time. The biocompatibility was assessed by examining the proliferation and morphology of MC 3T3-E1 osteoprogenitor cells seeded on the scaffolds. Cultures grown in the presence of a source of phosphate ions showed the formation of a mineralized extracellular matrix. The results indicate that PHBHHx scaffolds prepared using TIPS are a promising candidate for bone reconstruction.     

Chemical components and microtopography of （100） surface for orthopyroxene

XPS and AES depth composition profile studies were carried on to understand chemical components of (100) surfaces for Chengde hypersthene from Hebei Province, China, and Bamble enstatite from Norway. Also, to understand the microtopography of them the AFM observation was carried on. There are obvious differences between chemical components of (100) surface and those of mineral inner. Compared with inner mineral Si^4 proportion in total cations has no distinguished variation, whereas Ca^2 and Al^3 proportions increase respectively, and Mg^2 proportion decreases. AES depth composition prof‘de of 2000s shows that at a depth of 70 nm the atomic concentrations (%) for each element (except Si in Chengde hypersthene) slightly go up and down, but the average values have no obvious change. On the profile, the atomic concentrations (%) of Al and Si for Chengde hypersthene present a compensated relationship. Obviously, the Si and Al must have the relationship of isomorphic replacement on the (100) surface. The image of AFM shows that there is hillock growth on the (100) surface in the layered form of the polygon with 0 to several hundreds nm in thickness. The growth is a sort of secondary phyllosilicate minerals. The observation of the above-mentioned phenomenon and the recognition on the above regularities are benefit for understanding of the mechanism for weathering and water-rock reactions.     

Thermodynamic analysis and preparation of β-SiC/ZrO2 composites

A predominance area diagram for the Zr-Si-C-O system at 1773 K was plotted according to correlative thermodynamic data. β-SiC/ZrO₂ composites were prepared based on the phase diagram by carbothermal reduction of zircon (ZrSiO₄) in argon atmosphere. Zircon and carbon black were mixed according to the C/ZrSiO₄ mass ratio of 0.2, and with 0, 1wt% and 2wt% extra addition of La₂O₃. Phase evolution of the mixture was investigated at 1723-1803 K by X-ray powder diffraction, and the microstructure of the product prepared at 1803 K for 4 h was examined by scanning electronic microscope. The results show that the decomposition of ZrSiO₄ and the formation of β-SIC can be promoted by increasing the heating temperature and adding La₂O₃. The β-SiC/ZrO₂ composites can be prepared at 1803 K for 4 h in a mixture of zircon, carbon black and La₂O₃, and the contents of β-SIC and m-ZrO₂ in the product sample with 2wt% La₂O₃ reach the highest values of 10.8wt% and 89.2wt%, respectively. The crystal size of the products is about 200 nm.     

Novel Carboxylic Acid Solvolysis Route to Synthesis Electrode-active Nanostructured Spinel-Li_4Ti_5O_(12) for Lithium Batteries and Hybrid Capacitors

1 Results Nanostructured spinel-type Li4Ti5O12 (LTO) was prepared using Lewis acid base reaction technique involving a mixture of titanium β-diketonate and lithium nitrate as starting materials in the presence of aqueous citric acid as a solvolysis agent. The above method yielded a simple single step process without involving sol to gel conversion. The phase purity of the synthesized product after calcining at 800 ℃ for 24 h in air showed a spinel structure without any residual impurities. The nanostructure of the final product (both as prepared and calcined) was confirmed by High-resolution TEM (HRTEM) analysis. This process yielded very uniform spherical nanoparticles of ≈3 nm in size. The LTO product was tested as anode-active material in lithium containing half cells, Li4Ti5O12/Li at room temperature. It was found that the composite anode exhibited a working voltage of 1.55 V vs. Li/Li with a first discharge capacity of 160 mAh·g-1.     

Microstructure and oxidation resistance of SiC–MoSi2 multi-phase coating for SiC coated C/C composites

In order to improve the anti-oxidation of C/C composites, a SiC–MoSi2multi-phase coating for SiC coated carbon/carbon composites(C/C)was prepared by low pressure chemical vapor deposition(LPCVD) using methyltrichlorosilane(MTS) as precursor, combined with slurry painting from MoSi2 powder. The phase composition and morphology were analyzed by scanning electron microscope(SEM) and X-ray diffraction(XRD) methods, and the deposition mechanism was discussed. The isothermal oxidation and thermal shock resistance were investigated in a furnace containing air environment at 1500 1C. The results show that the as-prepared SiC–MoSi2coating consists of MoSi2 particles as a dispersing phase and CVD–SiC as a continuous phase. The weight loss of the coated samples is 1.51% after oxidation at 1500 1C for 90 h, and 4.79% after 30 thermal cycles between 1500 1C and room temperature. The penetrable cracks and cavities in the coating served as the diffusion channel of oxygen, resulted in the oxidation of C/C composites, and led to the weight loss in oxidation.     

Macromolecules Mimicking Backbones of Nucleic and Teichoic Acids.Synthesis,Some Properties and Applications

1 Results Several methods have been elaborated in this laboratory allowing preparation of macromolecules with phosphodiester bonds,and having sequence of atoms similar as in the chains of biomacromolecules - nucleic or teichoic acids (TA),namely:-(C)n-O-PO-,where n=2 (for teichoic acids) or 3.These methods,to be discussed in the lecture,are based on the ring-opening polymerization,transesterification,and recently elaborated direct addition of phosphoric acid to diepoxides.For the first time an attempt has been made to directly reacting phosphoric acid with diols in the presence and absence of catalysts.The major side reaction,preventing high molar mass polymers formation,results from dealkylation,i.e.nucleophilic attack of the OH groups on the C atom,instead attack on the P atom.The other two methods allowed reaching high molar mass macromolecules,with Mn up to 105.Following these studies phosphorylation of polymers with side groups containing -OH groups were studied and a series of diblock copolymers with ionic and nonionic blocks were prepared.     

Structural and optical analysis of Cr_2N thin films prepared by DC magnetron sputtering

Chromium nitride(Cr2N) thin films were prepared by a DC magnetron sputtering technique. The deposition temperature was raised from 50 to 300°C, and its influence on the film structure and refractive index was investigated. X-ray diffraction analysis shows that the crystalline structure of the films transforms from the(101) to(002) oriented hexagonal Cr2 N phase as the increase of substrate temperature above 50°C, and a highly textured film grows at 100°C. An empirical relation between the crystalline orientation and infrared active modes of the films is obtained, i.e., the Fourier transform infrared(FTIR) spectrum of the film prepared at 50°C exhibits only A1(TO) mode. The prominent peak in the FTIR spectra of the film prepared above 50°C is assigned to the E1(TO) mode and is correlated with the(002) or c-axis oriented hexagonal wurtzite phase of Cr2 N. In the surface analysis of atomic force microscopy, a transformation from the featureless surface to columnar-type morphology is observed with the increase of substrate temperature from 50 to 100°C, exhibiting c-axis oriented crystallite growth. A further increase in substrate temperature to 200°C causes the c-axis crystallites to merge, resulting in the formation of voids. The refractive index(n) of the deposited films is obtained using spectroscopic ellipsometry.     

Comparative analysis of temperature and CO_2 fluxes for winter wheat in Tibetan Plain and North China Plain using the EMD method

Comparative study of spectral properties of temperature and CO2 fluxes measured by eddy covariance method at Yucheng (36°57'N, 116°36'E, 28 m a.s.l., in the North China Plain) and at Lhasa (29°41'N, 91°20'E, 3688 m a.s. 1., on the Tibetan Plateau) is described using the empirical mode decomposition (EMD) method. The main results are: (1) The intrinsic oscillation modes or intrinsic mode functions (IMFs) were extracted from data of temperature ( T) and CO2 fluxes (F) measured at Yucheng ( T1 and F1) and Lhasa ( T2 and F2) . (2) Hilbert transform was applied to these IMF components, then the Hubert-Huang spectra and the marginal spectra of these data were obtained. (3) Comparison of temperature and CO2 fluxes in North China Plain and on Tibetan Plain illustrated that the characteristic frequencies corresponding to T1, F1, T2 and F2 are 0.05 Hz, 0.03 Hz, 0.014 Hz and 0.005 Hz, respectively.     

Synthesis and sintering of beryllium oxide nanoparticles

BeO nanoparticles were prepared by polyacrylamide gel route and the sintering pr operties of synthesized powder as a function of sintering temperature and time were investigated. Thermal behaviors of the polyacrylamide gel and beryllium salt we re studied by thermogravimetry analysis (TGA). The calcination temperature (690°C) of the beryllium sulfate covered in polyacrylamide xerogel was almost 150 °C lower than that obtained by traditional methods. The nanocrystallites of the BeO particles were estimated by X-ray diffraction (X RD) according to Debye–Scherrer equation. Transmission electron microscopy (TEM) investigation revealed that the average part icle size of the BeO nanoparticles prepared by calcining at 800 °C for 2 h, ranges from 15 nm to 25 nm. The sintering temperature was down to 1 600 °C, which was around 200 °C lower than conventional sintering temperature of the compact sample with co mmon powders. The densification rate was fast at the first 3 h. The thermal conductivity of the sample sintered at 1 600 °C for 6 h was 186.6 W/(m·K).