处处不可导连续函数的构造法

为了方便向大学生介绍处处不可导的连续函数的构造,对van derWaerden的级数构造法和Bush直接定义函数的构造法分别进行推广并给出证明.     

固相萃取-液相色谱法测定婴幼儿配方乳粉中的游离核苷酸

该文建立了婴幼儿配方乳粉中5种游离核苷酸的检测方法。婴幼儿配方乳粉经乙二胺四乙酸二钠和氯化钠溶液提取,强阴离子（SAX）固相萃取柱净化,通过反相Atlantis T₃色谱柱分离,二极管阵列检测器检测,外标法定量。结果表明：方法抗干扰能力强、准确度高,尤其对羊奶粉净化效果好、分离度高。5种游离核苷酸在0.5~10 mg/L范围内线性关系良好（r≥0.999）;添加水平在0.05~0.50 g/kg时,回收率为91.1%~112%,相对标准偏差为2.3%~4.7%;检出限为0.0010~0.0015 g/kg,定量限为0.0030~0.0045 g/kg。对乳粉质控样品进行检测,结果与中位值比较的偏差在10%以内。该方法可为监管部门提供技术支持,为乳品行业健康发展提供保障。     

Collisional dynamics of symmetric two-dimensional quantum droplets

The collisional dynamics of two symmetric droplets with equal intraspecies scattering lengths and particle number density for each component is studied by solving the corresponding extended Gross−Pitaevskii equation in two dimensions by including a logarithmic correction term in the usual contact interaction. We find the merging droplet after collision experiences a quadrupole oscillation in its shape and the oscillation period is found to be independent of the incidental momentum for small droplets. With increasing collision momentum the colliding droplets may separate into two, or even more, and finally into small pieces of droplets. For these dynamical phases we manage to present boundaries determined by the remnant particle number in the central area and the damped oscillation of the quadrupole mode. A stability peak for the existence of droplets emerges at the critical particle numberN_c ≃ 48 for the quasi-Gaussian and flat-top shapes of the droplets.     

Metabolomics study on promoting blood circulation and ameliorating blood stasis: Investigating the mechanism of Angelica sinensis and its processed products

Angelica sinensis (Danggui, DG) parched with alcohol (Jiu Danggui, JDG) and charred DG are the main processed products of DG, which are used to treat blood stasis syndrome (BSS). However, their therapeutic effect and mechanisms are still unclear. Based on an acute rat BSS model, the intervention effects of DG and its processed products (DGPPs) were evaluated by the hemorheology and coagulation function parameters. Meanwhile, plasma and urine metabolites were detected and analyzed by liquid chromatography coupled to quadrupole time‐of‐flight mass spectrometry and multivariate statistical analysis method. The results of hemorheology, coagulation function parameters and metabolomics all showed that the BSS model was successfully established, DGPPs intervention could significantly relieve rats BSS and the therapeutic effect of JDG was best. Moreover, 23 differential metabolites (14 in plasma and nine in urine) were identified that were closely related to the BSS, involving seven potential target metabolic pathways. DGPP intervention showed different degrees of reverse effect on these metabolites. JDG was the most effective owing to extensive regulation effect on differential metabolites. This study provides a reference for understanding the pathological mechanism of BSS and the mechanism of DGPPs, which lays a theoretical foundation for the rational use of DGPPs in clinical practice.     

Blended-fuel based EDC combustion model and its application in heptane-ethanol fire simulation

The blended-fuel based eddy-dissipation-concept combustion model was newly developed in the FireFOAM framework, and applied to simulate 30 cm×30 cm heptane-ethanol pool fire. Comparison was made of fire height, centerline temperature against experimental measurements, which shows that they match very well with each other. However, further studies are needed to examine the validation of this model in fire simulations with various scales.     

Synthesis,structural, and electrochemical properties of NaCo(PO<Subscript>3</Subscript>)<Subscript>3</Subscript> cathode for sodium-ion batteries

A new Co-base sodium metaphosphate compound, NaCo(PO₃)₃, has been synthesized here by solid-state method. The crystal structure is refined by the Rietveld method, and the results reveal that NaCo(PO₃)₃ has an orthorhombic structure with the space group of P2 ₁ 2 ₁ 2 ₁ and lattice parameters of a = 14.2453(2) Å, b = 14.2306(1) Å, and c = 14.2603(2) Å. Its typical morphology and chemical composition are confirmed by scanning electron microscopy (SEM) and energy-dispersive spectrometry (EDS). The valence states of all elements and the internal/external vibrational modes of NaCoP₃O₉ compound are measured by X-ray photoelectron and vibrational spectrum, where a typical feature of the (PO₃)^? polyanion group is observed. Meanwhile, the electrochemical properties of NaCo(PO₃)₃ cathode for sodium-ion batteries are also elevated and an initial discharge capacity of 33.8 mAh/g can be obtained at 0.05 C within 1.5–4.2 V. After 20 cycles, a discharge capacity of 26.7 mAh/g can be obtained and a well-kept oxidation–reduction plateau is still observed for NaCo(PO₃)₃ cathode, indicating the good reversibility of this metaphosphate electrode.     

一类实奇芽等价的充要条件

给定一自反的Ｂａｎａｃｈ空间Ｘ．在ｃ^∞函数芽环∈（Ｘ）中,任何在原点Ｏ∈Ｘ的实奇芽ｆ,若其二阶Ｆｒｅｃｈｅｔ导数ｆ″（０）＝Ｔ是一个Ｆｒｅｄｈｏｌｍ算子,则它同构于形如：1/2+g(v)的一个芽．如果代替ｇ以一个与之同构的芽ｇ_１,显然得到一个与原来的芽同构的芽．然而,其逆是否真呢？本文将证明其逆命题亦真     

High-performance low-cost organic field-effect transistors with chemically modified bottom electrodes

The characteristics of organic field-effect transistors (OFETs) were dramatically improved by chemically modifying the surface of the bottom-contact Ag or Cu source-drain (D-S) electrodes with a simple solution method. The contact resistance and energetic mismatch typically observed with Ag D-S electrodes in pentacene bottom-contact OFETs can be properly eliminated when modified by the Ag-TCNQ (TCNQ = 7,7,8,8-tetracyanoquinodimethane). The pentacene transistors with low-cost Ag-TCNQ-modified Ag bottom-contact electrodes exhibit outstanding electrical properties, which are comparable with that of the Au top-contact devices. It thus provides a novel way toward high-performance low-cost bottom-contact OFETs.     

高压下轻元素单质的结构相变

压力是物质独立于温度和化学组分的一个重要维度,能够有效改变物质内部原子间的相互作用,诱导形成具有新结构和新性质的高压新相,可以揭示许多常压下不曾有过的新现象和新规律,为制备出常压条件下无法得到的新材料提供了创新性源泉。元素单质在常压下大多具有简单的晶体结构,但在高压下却发生了非常复杂的结构相变,形成了多种新颖的高压相,产生了超导、超硬、金属-绝缘体相变等奇异现象,吸引了科学界的广泛关注。本文针对元素周期表中前12种轻元素单质的高压结构相变、高压相的新奇物理特性及相变产生的物理机制进行了探讨和论述,并对实验和理论高压结构相变的研究方法进行了展望。