On certain functional equations related to Jordan triple (q, f){(\theta, \phi)}-derivations on semiprime rings

The main purpose of this paper is to prove the following result. Let R be a 2-torsion free semiprime ring with symmetric Martindale ring of quotients Q _s and let q{\theta} and f{\phi} be automorphisms of R. Suppose T:R? R{T:R\rightarrow R} is an additive mapping satisfying the relation T(xyx)=T(x)q(y)q(x)-f(x)T(y)q(x)+f(x)f(y)T(x){T(xyx)=T(x)\theta (y)\theta (x)-\phi (x)T(y)\theta (x)+\phi (x)\phi (y)T(x)}, for all pairs x,y ? R{x,y\in R}. In this case T is of the form 2T(x)=qq(x)+f(x)q{2T(x)=q\theta (x)+\phi (x)q}, for all x ? R{x\in R} and some fixed element q ? Q_s{q\in Q_{s}}.     

Polarized SERS study of an individual Ag nanowire with bulb humps

Polarization-dependent surface enhanced Raman scattering (SERS) of an individual Ag nanowire (NW) with bulb humps (including nm-scaled bulb humps on the body part and a bulb NW-tip) was investigated. Strong SERS effect was observed from the bulb NW-tip, which exhibited cos²θ dependence relative to the polarization angle θ of the incident laser. Such dependence is similar to that of the NW-body with bulb humps, but different from that of the other NW-tip with crown shape. Their different polarized SERS behaviors along with the bulb hump effect on SERS were discussed.     

Jordan τ-Derivations of Locally Matrix Rings

Let R be a prime, locally matrix ring of characteristic not 2 and let Q _ms (R) be the maximal symmetric ring of quotients of R. Suppose that ${\delta}\colon R\to Q_{ms}(R)$ is a Jordan τ-derivation, where τ is an anti-automorphism of R. Then there exists a?∈?Q _ms (R) such that δ(x)?=?xa???aτ(x) for all x?∈?R. Let X be a Banach space over the field ${\mathbb F}$ of real or complex numbers and let ${\mathcal B}(X)$ be the algebra of all bounded linear operators on X. We prove that $Q_{ms}({\mathcal B}(X))={\mathcal B}(X)$ , which provides the viewpoint of ring theory for some results concerning derivations on the algebra ${\mathcal B}(X)$ . In particular, all Jordan τ-derivations of ${\mathcal B}(X)$ are inner if $\text{dim}_{\mathbb F}X>1$ .     

孔隙率对页岩相似材料破坏影响的试验研究

根据物理模型试验的相似原理,经过大量物理模型试验,研制成一批可以模拟页岩物理力学性能且具有五种不同孔隙率的相似材料。该材料由河砂、石膏粉、水、水泥按一定配比均匀拌合压实而成。根据材料力学参数测试得到,该页岩相似材料满足相似原理,且性能稳定、制作工艺简单、经济实用、无毒无害,可以用来模拟页岩。通过单轴压缩试验、劈裂试验、三轴压缩试验,得到该批材料的泊松比随孔隙率的增大而增大,抗压强度、抗拉强度、弹性模量、粘聚力、内摩擦角则均随孔隙率的增大而减小的结论。     

2-local superderivations on a superalgebra $${{\rm M}_{\rm n}({\mathbb C})}$$

The aim of this paper is to show that every 2-local superderivation on an associative superalgebra is a superderivation.      

CTAB透性化酵母细胞生物催化合成(S)-(+)-3-羟基丁酸乙酯

 利用十六烷基三甲基溴化铵(CTAB)透性化啤酒酵母细胞中高活性的脱氢酶,借助于辅助底物乙醇和葡萄糖,对3-羰基丁酸乙酯(EOB)不对称还原合成(S)-(+)-3-羟基丁酸乙酯((S)-(+)-3-EHB)进行了研究. 结果表明,CTAB透性化酵母细胞中的醇脱氢酶和6-磷酸葡萄糖脱氢酶的活性分别比未经处理的酵母细胞高482倍和6.5倍. 在相同条件下,CTAB透性化细胞对EOB的还原比未经处理的酵母细胞快. 细胞浓度对反应有明显影响,当透性化酵母细胞浓度＜90 mg/ml时,(S)-(+)-3-EHB的产率和对映体过量值都较低; 当酵母细胞浓度≥90 mg/ml,在最佳进料速率、最适温度和pH条件下,振摇速度为125 r/min时, (S)-(+)-3-EHB的浓度达到最大值314 mmol/L. 在反应开始的6 h内,(S)-(+)-3-EHB的产率可达94%,对映体过量值≥98%,但24 h后产率和对映体过量值分别降低到85%和91%.     

Monodisperse Branched Molybdenum‐Based Bioactive Nanoparticles Significantly Promote Osteogenic Differentiation of Adipose‐Derived Stem Cells

Adipose‐derived stem cells (ADSCs) are considered to be ideal stem cell sources for bone‐tissue regeneration owing to their ease of collection and high activity. However, the regulation of osteogenic differentiation of ADSCs using biomaterials without adding growth factors is still not satisfactory. For the first time, molybdenum‐doped bioactive glass nanoparticles with a radial porous morphology (Mo‐rBGNs) are reported and their role in the osteogenic differentiation of ADSCs is investigated. The results show that Mo‐rBGNs exhibit radially porous and spherical morphology, relatively homogeneous particle size (200–400 nm), and excellent apatite‐forming bioactivity. They do not affect the proliferation of ADSCs, but significantly regulate their osteogenic differentiation and biomineralization. 5% Mo‐rBGNs significantly enhance the alkaline phosphatase activity and biomineralization ability and promote the osteogenic gene expressions of collagen I secretion and bone sialo protein in ADSCs. A reasonable and promising strategy for designing nanoscale bioactive materials with the excellent osteogenic ability for stem cell–based bone tissue regeneration is provided.     

Solution of the one-dimensional diffusion equation for the hadronic cosmic-ray component in the atmosphere

Summary We solve the one-dimensional diffusion equation for the hadronic cosmic-ray component in the atmosphere assuming for the interaction mean free path a ln² E-dependence on the energy and comparing with mountain experimental data. The authors of this paper have agreed to not receive the proofs for correction. Partial financial support of FAPESP and CNPq, Brasil.     

Temperature displacements and stresses in glass-reinforced strip

Glass-reinforced strip consists of a strand of straightened glass fibers arranged in a definite order and impregnated with resin. The physicomechanical properties of glass-reinforced strip determine the design properties of oriented glass-reinforced plastics. It is therefore of interest to study the stress distribution in the structure and the physicochemical properties of glass-reinforced strip on the basis of models of a structurally inhomogeneous body and the various properties of reinforcement and resin.