带有两个时滞的一阶中立型方程的渐近稳定性

考虑带有两个时滞的中立型方程 x′(t)+Ax′(t-τ)+Bx′(t-2τ)+Cx(t)+Dx(t-τ)+Ex(t-2τ)=0 (1)其中A,B,C,D,E为实常数且τ≥0。其特征方程为     

一类二阶滞后方程的振动性质

本文给出了二阶滞后方程 (r(t)x'(t))'+a(t)x"(t-τ(t))=f(t)的振动解渐近趋于零的若干充分条件。     

温度计修正值不确定度评定方法的改进研究

"JCGM 100:2008"的温度计修正值不确定度评定案例中,模型为bt=y1+y2(t-20),自变量(t-20)与因变量修正值bt=(tR-t)间不独立,实质上选温度计示值t作自变量、标准值tR作因变量,前者的误差影响显著大于后者,这与应选误差影响可忽略的作自变量的原则相悖.案例中评定b(t′)的不确定度ubt′错用了求预测值置信区间的预测模型,应先改用tR作自变量拟合、再求反预测值tR(t′)及其置信区间的校准模型,我们在预测和校准两种情况下计算了ubt′以作比较.案例中limn→∞ubt′=0有逻辑性瑕疵.对自变量等距分布、自变量在区间两端集中各半这两种情形,算出其斜率标准差的期望值之比约槡3,否证了"测散布数据最小二乘拟合主要为减小因变量的独立同分布随机误差影响"的命题,初步导出"主要为减小因变量的具有随机性的未定系差分量影响"的推论,质疑了高斯-马尔科夫假定的普适性.考虑因变量标准差包含两类分量,提出了预测或校准(反预测)模型下的置信区间的调和近似算式.     

血管切片的三维重建

本文讨论血管的三维重建问题.我们通过研究,证明了以下的定理.定理设C(i)是中轴线和平面Z=i的交点,那么存在以C(i)为中点且端点P1(i),P2(i)在ω(i)上的线段,并且在P1(i),P2(i)处ω(i)的切线相互平行.根据定理,我们找到利用求截面图象边界曲线的平行切线方法找到中轴线和100个截面的交点及管道的直径59.1238pixel.并用这100个交点的数据拟合出中轴线的方程:x(t)=-0.207806-0.610303t+0.206455t2-0.0144935t3+0.000517774t4-8.394241977754047×10-6t5+6.133353112035975×10-8t6-1.6673218267444805×10-10t7y(t)=158.211+1.86595t-0.266798t2+0.0141407t3-0.000325412t4+3.043275597680807×10-6t5-9.899171274615063×10-9t6z(t)=t然后我们用中轴线的方程重建了三维血管,并求出了重建血管在40个平面上的截面ω′(i)(30≤i≤69),并与原始截面ω(i)(30≤i≤69)进行比较,截面平均符合率高达96.8024%.     

抽象空间中微分系统弱解的局部存在性

考虑在抽象空间中，微分系统{x′=(x′/y′)={f1(t1x1y)/f1(t1x1y)}=f(t1x)x(0)=(x(0)/y(0))=x4=(x4/y4)弱解的局部存在性．其中f1f2分别满足弱紧性条件与弱耗散性条件．得到的结果包含了文[2～4，6]的有关结果．是上述结果的改进和更一般化推广。     

Asymptotic Behavior of Almost-orbits of Asymptotically Nonexpansive Semigroups in Banach Spaces(Dedicated to Professor You Zhaoyong for his 60th brithday)

Let C be a closed bounded convex subset of a uniformaly convex Banach space X with a Frechet differentiable norm, F= {T(t):t ≥0} an asymptotically noncxpansivc semigroup on C, and u:[0,∞)→ C an almost-orbit of F. Then we show that {u(t):t ≥ 0} is almost convergent weakly to a common fixed point y of F, that isweak - lim1/tdr - y uniformly in s≥ 0.This implies that {u(t):t≥ 0} converges weakly to y if and onlyif u is weakly asymptotically regular, i.e lim (u(t + s) - u(t) = 0 weakly for all s≥ 0.     

动态测试的数据处理(七)

动态测试数据的数学模型与成分分离在第一讲已述及,动态测试数据一般由表现为确定性函数有时兼为随机函数的被测变量,表现为确定性函数的系统误差和表现为随机函数的随机误差所组成。可见,动态测试数据 y(t)一般均含有确定性成分 f(t)和随机性成分 X(t)。为了便于分离 y(t)中被测变量的测量结果与系统误差和随机误差,对 f(t)与 X(t)还应予细分。如 f(t)可分为非周期     

捷克MMA单体连续生产的技术水平

捷克的坡瓦斯克化学工厂(POVAZS-KE CHEMICKE ZAVODY,简称为PAH-Z)生产MMA。该产品于1950年投产,当时的工艺是间歇式的,产量仅为1000t/y,到1960年产量上升为2500t/y。1975年该厂开发了MMA连续生产工艺,产量提高至5000t/y,到1980年产量达10000t/y,计划到1985年发展至12000t/y,到1990年发展至15000t/y的水平。该厂使用的主要原料丙酮氰醇(ACH)是另一家工厂采用天然气氨氧化法生产的,含量为99％,其价格折合人民币为2100元/t。 1.生产工艺该连续生产工艺分为三个工序:①酰胺化,即从ACH连续生产甲基丙烯酰胺;②酯化,由甲基丙烯酰胺生产MMA;③净化,从酯化工序的废液中回收(NH_4)_2SO_4,降低原料消耗。下面就三个工序加以叙述。     

Influence of Diffusion Time on Steel—Aluminum Solid to Liquid Bonding Interfacial Structure

The bonding of steel plate to aluminum liquid was conducted using rapid solidification. The influence of diffusion time on interfacial structure was studied. The results showed that under the condition of 750(C) for the temperature of aluminum liquid and 200(C) for the preheat temperature of steel plate, when diffusion time was shorter than 4.3 s, there was only Fe-AI solid solution at the interface. When diffusion time was longer than 4.3 s, Fe-AI compound began to form at the interface. The relationships between diffusion time t and thickness of Fe-AI compound layer H are H=-9.72+2.62t-0.08t2 (4.3 s15 s).     

一类具复杂偏差变元的Liénard方程的周期解

研究了一类具复杂偏差变元的Lienard型泛函微分方程x"(t)+f(x(t),x'(t))x'(t)+g(t,x(t-τ-(t,x(t))))=0周期解的存在性。分别在阻尼系数有界和无界的条件下,得出了方程周期解的存在定理。     

Insertion of triangulated surfaces into a meccano tetrahedral discretization by means of mesh refinement and optimization procedures

In this paper, we present a new method for inserting several triangulated surfaces into an existing tetrahedral mesh generated by the meccano method. The result is a conformal mesh where each inserted surface is approximated by a set of faces of the final tetrahedral mesh. First, the tetrahedral mesh is refined around the inserted surfaces to capture their geometric features. Second, each immersed surface is approximated by a set of faces from the tetrahedral mesh. Third, following a novel approach, the nodes of the approximated surfaces are mapped to the corresponding immersed surface. Fourth, we untangle and smooth the mesh by optimizing a regularized shape distortion measure for tetrahedral elements in which we move all the nodes of the mesh, restricting the movement of the edge and surface nodes along the corresponding entity they belong to. The refining process allows approximating the immersed surface for any initial meccano tetrahedral mesh. Moreover, the proposed projection method avoids computational expensive geometric projections. Finally, the applied simultaneous untangling and smoothing process delivers a high‐quality mesh and ensures that the immersed surfaces are interpolated. Several examples are presented to assess the properties of the proposed method.     

The Research of Anti-Wear Properties of Organomolybdenum Compounds in the Engine Oils

A four-ball tester was used to evaluate the anti-wear performance of three kinds of organomolybdemun compounds in the engine oils, i. e., molybdenum dialkyldithiophosphate (MoDDP), molybdenum dialkyldithiocarbamate ( MoDTC), and sulphur and phosphorus freeorganomolybdeum (Molybdate). The results indicate that a low concentration of MoDDP doesn' t improve the anti-wear properties of the commercial engine oils, but a high concentration of MoDDP can obviously improve the anti-wear properties and the load-carrying capacity of the engine oils. MoDTC doesn' t improve the antiwear properties of the engine oils, but worsens the anti-wear properties of the oils. Signifi can timprove ment of frictional and wear characteristics is obtained with Molybdate added in the commercial engine oils and the formulated oils.     

Certification Institutions Expected to Update and Transfer Information on Present Standards

Standards are the basis for production enterprises to organize production, ex-factory inspection, trade (delivery) and technical exchanges, product certification, quality arbitration and supervision.……     

Flow calorimeter for enthalpy increment measurements on condensed gases

A flow calorimeter for enthalpy increment measurements on condensed gases is presented. A better knowledge of the properties of the liquefied natural gas is needed, and therefore a liquid loop has been designed for our flow calorimeter. The fluid loop in the calorimeter is designed in order to avoid the two-phase region, since two phases would give compositional disturbances in the measurements. The avoidance of the two-phase region is made possible by increasing the pressure of the test fluid after the measurement section, then heating the fluid at super-critical pressure past the critical point. Finally, the fluid is throttled to the low-pressure gas state at the inlet condition of the compressor that circulates the fluid. To perform the pressure increase, a new cryogenic pump has been designed. To evaluate the new equipment, measurements were taken on liquid ethane over the temperature range 146–256 K at pressure between 0.9 and 5.1 MPa.     

Certification Becomes Important for the I Quality; and Safety Supervision of the Chinese Liquor Sector

The end of 2007, over 200 unit products of more than 80 Chinese firms have passed the quality grade certification for liquor products. These products involve distilled spirits, beer, wine, yellow wine, fruit syrup wine and others, and cover over 80% of the national top-branded liquor products.……     

Deposition and Coating Properties on CVD Tungsten

Surface characterization and microstructure studies are performed on chemical vapor deposited (CVD) tungsten coating. There is about 2 μm thickness diffusion layer of tungsten in the molybdenum substrate. The thermal shock test shows tungsten coating has good adhesion with molybdenum substrate, but the elements of oxygen and carbon in the tungsten coating have the bad affection to the adhesion. The result of high-temperature diffusion experiment is the diffusion rate from molybdenum substrate to tungsten coating is faster.     

Refrigerators Enter a New Era of Health Preservation Frestech initiates the establishment of China's first standard for household sterilization refrigerators

On November 30, 2007, the China Association for Standardization (CAS) held a press conference at Beijing Diaoyutai State Guest House. Leaders from the China Household Electric Appliance Research Institute, the China Household Electric Appliance Association, and the China Consumers' Association attended and made speeches.……     

Analysis of marine hydrobiont lipid extracts as possible cryoprotective agents

We studied a combined effect of the cryoprotectants both of lipid and carbohydrate origin at the presence of DMSO or without it on cell viability and the RNA synthesis in the embryonic mollusc and echinoderm cell cultures obtained at different developmental stages. Cryoprotective properties of exogenous lipids correlated with their thermotropic behavior. Lipid extracts from marine hydrobiontes, which thermal transitions are characterized by relatively small part of calorimetric thermogram area lying at temperatures above 0 °C (6–18%), were found to possess a considerable cryoprotective activity. The results are discussed in relation to the prediction of the cryoprotective activity of lipid extracts for marine animal cells. In addition, it was found that marine invertebrate cells can be cryopreserved without DMSO at the presence of trehalose and lipid extracts of some marine hydrobiontes.     

Low-Temperature Properties of Silver

Pure silver is used extensively in the preparation of high-temperature superconductor wires, tapes, films, and other configurations in which the silver not only shields the superconducting material from the surrounding materials, but also provides a degree of flexibility and strain relief, as well as stabilization and low-resistance electrical contact. Silver is relatively expensive, but at this stage of superconductor development, its unique combination of properties seems to offer the only reasonable means of achieving usable lengths of conductor. In this role, the low-temperature physical (electrical, thermal, magnetic, optical) and mechanical properties of the silver all become important. Here we present a collection of properties data extracted from the cryogenic literature and, to the extent possible, selected for reliability.