拉格朗日中值定理的证明及应用

中值定理是微分学的基本定理,是应用导数研究函数在区间上整体性态的有力工具,其中拉格朗日中值定理是核心内容.给出拉格朗日中值定理的三种证明方法及其在级数散敛性方面的应用.     

Electrorheological effect of Ti-bearing blast furnace slag with different TiC contents at 1500℃

The electrorheological properties of CaO–SiO2–Al2O3–MgO–TiO2–TiC slags were investigated to enhance understanding of the effect of TiC addition on the viscosity, yield stress, and fluid pattern of Ti-bearing slags in a direct-current electric field. The viscosities and shear stresses of 4wt% and 8wt% TiC slags were found to increase substantially with increasing electric field intensity, whereas virtually no rheological changes were observed in the 0wt% TiC slag. The Herschel–Bulkley model was applied to demonstrate that the fluid pattern of the 4wt% TiC slag was converted from that of a Newtonian fluid to that of a Bingham fluid in response to the applied electric field; and the static yield stress increased linearly with the square of the electric field intensity.     

Melatonin transport into mitochondria

Melatonin is a well-known, nighttime-produced indole found in bacteria, eukaryotic unicellulars, animals or vascular plants. In vertebrates, melatonin is the major product of the pineal gland, which accounts for its increase in serum during the dark phase, but it is also produced by many other organs and cell types. Such a wide distribution is consistent with its multiple and well-described functions which include from the circadian regulation and adaptation to seasonal variations to immunomodulatory and oncostatic actions in different types of tumors. The discovery of its antioxidant properties in the early 1990s opened a new field of potential protective functions in multiple tissues. A special mention should be made regarding the nervous system, where the indole is considered a major neuroprotector. Furthermore, mitochondria appear as one of the most important targets for the indole’s protective actions. Melatonin’s mechanisms of action vary from the direct molecular interaction with free radicals (free radical scavenger) to the binding to membrane (MLT1A and MLT1B) or nuclear receptors (RZR/RORα). Receptor binding has been associated with some, but not all of the indole functions reported to date. Recently, two new mechanisms of cellular uptake involving the facilitative glucose transporters GLUT/SLC2A and the proton-driven oligopeptide transporter PEPT1/2 have been reported. Here we discuss the potential importance that these newly discovered transport systems could have in determining the actions of melatonin, particularly in the mitochondria. We also argue the relative importance of passive diffusion vs active transport in different parts of the cell.     

Curie’s principle and causal graphs

Curie’s Principle says that any symmetry property of a cause must be found in its effect. In this article, I consider Curie’s Principle from the point of view of graphical causal models, and demonstrate that, under one definition of a symmetry transformation, the causal modeling framework does not require anything like Curie’s Principle to be true. On another definition of a symmetry transformation, the graphical causal modeling formalism does imply a version of Curie’s Principle. These results yield a better understanding of the logical landscape with respect to the relationship between Curie’s Principle and graphical causal modeling.     

w(Co)对CB2钢显微组织和力学性能的影响

为研究w(Co)对CB2钢微观组织和力学性能的影响，调整CB2钢中w(Co)为0.5%，1.0%，1.5%，2.0%和3.0%.利用光学显微镜(OM)、扫描电镜(SEM)、室温拉伸等检测方法研究w(Co)对试验钢微观组织和力学性能的影响规律，结合Thermo-Calc和JMatpro-7.0模拟结果解释其影响机理.研究发现:w(Co)增加提高铬当量的值，使试验钢中δ铁素体含量减少，当w(Co)增加到1.5%时，δ铁素体基本消失;材料的抗拉强度随w(Co)的增加而增加，而延长率则先增加后降低;结果表明，w(Co)为1.5%时综合性能较好，即抗拉强度达到805.13MPa，延长率达到20.4%，布氏硬度为260.     

基于C语言访问MySQL数据库的研究与实现

分析了在Windows平台下如何利用MySQL提供的驱动支持,通过配置VC和VS 2个常用IDE,最后实现C语言访问MySQL的规范和详尽的流程.该流程为C语言操作MySQL并进行应用程序开发提供了完美解决方案.     

基于C++的高效内存池的设计与实现

为了高效、安全地利用计算机内存资源,在大型的软件设计中,往往要进行大量的内存分配与回收操作,为此,C++专门提供了malloc等相关函数进行操作,这些函数能够满足一般的使用,但由于它们调用了操作系统API,所以实际使用时会在操作系统中产生大量的内存碎片,让内存分配成为效率瓶颈,从而降低系统性能.基于此,通过对循环首次适应算法进行改进,设计并实现了基于C++的高效内存池,大幅提升了内存分配与回收的效率.同时,还为内存池编写了相关的分配子,使其能与C++标准库无缝对接,提供了若干具有垃圾回收功能的智能指针,提高了内存管理与程序运行的效率.     

横坐标系捷联惯导系统极区导航及阻尼设计

针对水下潜器在极区工作时,其常用惯性导航系统机械编排存在精度下降、无北向基准等问题,设计了适用于水下潜器极区工作的横坐标系捷联惯性导航系统机械编排方案。在构建了横坐标系参考框架的基础上,推导出各导航参数在横坐标系统和常规坐标系统之间的转换关系,建立了横坐标系捷联惯导系统的机械编排,并在此基础上分析其误差传播特性。通过误差分析,确定了横坐标系捷联惯导系统中存在的周期性振荡,并提出了适用于横坐标系捷联惯导系统的阻尼技术,有效抑制了周期性振荡。最后,通过仿真试验验证了该系统在极区工作的可行性和阻尼技术有效性。     

Performance Analyses of Production Inventory Systems Considering Service Time and Product Returns of Online Shopping

This paper considers a production inventory system with service time and product returns,dependent on the characteristics of online shopping behaviors. The customers arrive according to a Poisson process, in which the arriving customer requires an item in the inventory, as well as a server service that the service time is exponentially distributed. Moreover, there is one production facility to produce items according to(s, S) policy, and the production time also follows an exponential distribution. In the beginning, the stationary joint distribution is obtained in the product form for the queue length and the on-hand inventory level. Additionally, the resulting distribution is applied to derive some performance measures, which can be adopted to numerically calculate the optimal(s, S)policy. Finally, numerical analyses are processed to investigate the effects of some system parameters on the performance measures. The numerical results clearly indicate that the product return rate has a significantly monotonic effect on the optimal policy and optimal cost.