高等数学课程分层次教学理念的思考和举措

高等数学课程是高校所有专业的基础课程之一,对实现高校的人才培养目标起着十分重要的作用.本文遵循因材施教的原则,科学设计了分层次教学模式,对于开展分层次教学的意义和理论依据作了阐述,提出了分层次教学模式的组织与实施,并就教学内容、教学方法、考核模式的改革给出相应的实施方案.     

具有标准发生率和因病死亡率的离散SIS传染病模型的全局稳定性分析

主要研究了具有标准发生率和因病死亡率的离散SIS传染病模型的动力学性质,利用构造Lyapunov函数,得到模型无病平衡点和地方性平衡点的全局稳定性,即无病平衡点是全局渐近稳定的当且仅当基本再生数R_0≤1,地方病平衡点是全局渐近稳定的当且仅当R_0>1.     

逻辑函数在布尔减、布尔除、非代数系统中的规范展开式

证明了布尔减与非运算、布尔除与非运算均构成完备集，并根据布尔除、布尔减的运算规则和性质，从最小项、最大项展开式出发，推导了任意逻辑函数在这两个完备集中的规范展开式。得到的展开式形式简单，容易记忆，与函数在与、或、非代数系统中的规范展开式之间的转换非常便捷。本文的工作对进一步完善布尔代数的四则运算理论具有一定的意义。     

测量不确定度及其在化学计量中的应用实例

介绍了测量不确定度的评定方法及其在基准试剂纯度、干涉滤光片波长标准物质、锌合金成分标准物质中的应用实例。     

Comparison of three methods for fractionation and enrichment of low molecular weight proteins for SELDI-TOF-MS differential analysis

In most diseases, the clinical need for serum/plasma markers has never been so crucial, not only for diagnosis, but also for the selection of the most efficient therapies, as well as exclusion of ineffective or toxic treatment. Due to the high sample complexity, prefractionation is essential for exploring the deep proteome and finding specific markers.In this study, three different sample preparation methods (i.e., highly abundant protein precipitation, restricted access materials (RAM) combined with IMAC chromatography and peptide ligand affinity beads) were investigated in order to select the best fractionation step for further differential proteomic experiments focusing on the LMW proteome (MW inferior to 40,000 Da). Indeed, the aim was not to cover the entire plasma/serum proteome, but to enrich potentially interesting tissue leakage proteins. These three methods were evaluated on their reproducibility, on the SELDI-TOF-MS peptide/protein peaks generated after fractionation and on the information supplied.The studied methods appeared to give complementary information and presented good reproducibility (below 20%). Peptide ligand affinity beads were found to provide efficient depletion of HMW proteins and peak enrichment in protein/peptide profiles.     

多个子样本下过程能力指数估计量的比较研究

过程能力指数(C_p)估计的关键是对总体标准差的估计。在多个子样本情形下,采用4个无偏估计量■,■_s,■_R,■_p分别估计总体标准差σ,证明了直接以此为基础的过程能力指数的估计量都是有偏的,且都有高估C_p的倾向;之后构造了C_p的4个无偏估计量;探讨了其中3个无偏估计量的估计效率;最后结合案例计算了C_p的不同估计值。     

Applications of the deferred standard technique in process gas chromatography

Three applications of the deferred standard (DS) technique in on-line gas chromatographic analysis with a rotary injection valve are reported. It is demonstrated how both absolute and relative measurements are affected by several deviations of the experimental conditions, such as atmospheric pressure, sample injection during either flow or stopped-flow conditions and instrumental settings (carrier gas flow-rate, column oven temperature, detector bridge current) of the analytical system. It is shown that the relative DS concept provides an excellent means of improving the reliability of the analytical equipment. Under standard conditions, accurate results were obtained with a relative standard deviation < 1%. Significant deviations in the instrumental settings affected the accuracy of the final analytical results by less than 4%. It is further shown how the DS technique can be applied to obtain early information on maintenance requirements of the system. A diagnostic table is included that relates observed changes with time of the signals, obtained with a thermal conductivity detector, to possible maintenance requirements.     

Atomic parity non-conservation: Present status and future prospects

The general features of parity nonconservation (PNC) in atoms arising from neutral weak currents and the nuclear anapole moment are discussed. The theoretical approaches used to calculate PNC observables are briefly mentioned. A brief review of the present status of atomic PNC is presented and its potential as a probe of physics beyond the standard model is highlighted.     

Multiple frequency radiofrequency-optical resonance in a four-level model of rubidium atoms with optical pumping

We consider a four-level model for alkali metal atoms with optical pumping by nonresonant light under conditions when magnetic dipole transitions are induced between energy sublevels of the hyperfine structure in the ground state. We present the dependences of the observed signal as a function of the frequency detuning of the applied rf fields relative to the resonant value, calculated in the density matrix formalism. We note the absence of a light shift in the radiofrequency-optical resonance signal, independent of the amplitude of the rf field and the optical and thermal relaxation rates. We show that when using a modulation technique for phase detection of the signal, its maximum discrimination ability is observed under conditions for simultaneous modulation of the pump light intensity and the frequency of the rf field, which in principle does not occur in the classical two-level model for optically oriented atoms in magnetic resonance. __________ Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 73, No. 3, pp. 326–329, May–June, 2006.