Bernstein定理的推广及应用

将Ｂｅｒｎｓｔｅｉｎ定理进行了推广,并用其证明了Ｗｅｉｅｒｓｔｒａｓｓ一致逼近定理。     

The effect of shock on blood oxidation-reduction potential

Oxidation-reduction (redox) potential measurements were made in the blood of rabbits subjected to hemorrhagic shock followed by treatment with a mild oxidizing agent (albumin). Control redox potential reading corrected for pH was –8.8±1.3 millivolts (mV) in arterial blood (A) and –18.0±2.0 mV in venous blood (V). This A-V difference indicated that hydrogen equivalents coming from muscle and other tissues were partially consumed in the lungs. A 20-mV drop on the V and a 13 mV on the A side was seen after shock. This did not fully return to control 2 h after return of the shed blood. Infusion of 2 g of albumin/kg/h raised the V redox potential to control, but it returned to untreated levels when the albumin was discontinued. The reductive load imposed on the animal by shock appeared to be large and not readily reversed by reperfusion or by the quantity of albumin given. Thus, it may be concluded that cellular respiration had not been adequately restored. This reductive load may impede recovery by suppression of cellular respiration and other cell and organ functions.     

Human slow wave sleep: A review and appraisal of recent findings,with implications for sleep functions,and psychiatric illness

Recent findings concerning human slow wave sleep (hSWS-stages 3+4; delta EEG activity) are critically reviewed. Areas covered include the significance of the first hSWS cycle; hSWS in extended sleep; relationship between hSWS, prior wakefulness and sleep loss; hSWS influence on sleep length; problems with hSWS deprivation; influence of the circadian rhythm; individual differences in hSWS, especially, age, gender and constitutional variables such as physical fitness and body composition. Transient increases in hSWS can be produced by increasing both the quality and quantity of prior wakefulness, with an underlying mechanism perhaps relating to the waking level of brain metabolism. Whilst there may also be thermoregulatory influences on hSWS, hypotheses that energy conservation and brain cooling are major roles for hSWS are debatable. hSWS seems to offer some form of cerebral recovery, with the prefrontal cortex being particularly implicated. The hSWS characteristics of certain forms of major psychiatric disorders may well endorse this prefrontal link.     

关于结构化学中波函数的研究

波函数ψ是现代化学中最重要、最基本的概念之一,对研究物质的结构有重要作用。本文对波函数的物理意义、波函数的求解、波函数的节面、波函数的下标等性质进行研究和探讨。     

湘中丘陵沟谷发育的初步研究

本文通过对湘中丘陵区的自然条件及沟谷类型的分析,论述了人类活动和自然因素的影响下,各种沟谷的发生、发展和变化的规律;并从综合观点出发,对湘中丘陵区沟谷的治理提出了建议。     

抽样函数卷积不变性的标注

信号理论经常用到抽样函数Sa(t)=sin(t)t,通过实例提出了抽样函数具有卷积不变性,但难以直接证明,在大多教材中也未见讨论。为此改用数值的方法近似计算抽样函数的卷积,给出了离散卷积的计算结果和波形图,验证了抽样函数的卷积不变性。     

半线性抛物方程差分解的长时间行为

考虑带齐次D irichlet边值条件的半线性抛物方程ut-(pux)x=f(u)的初边值问题,研究了其在[0,1]×(0,+∞)上全离散Euler隐格式解的稳定性.在适当的假设条件下证明了离散系统在H1(Ωh)空间上存在连续的Liapinov泛函,并验证了离散系统的平衡点集在H10(Ωh)上是有界集,从而得到离散动力系统在H10(Ωh)上存在整体吸引子.     

具有反馈控制的Schoner模型的正概周期解

本文研究具有反馈控制的非自治Schoner系统的持续生存性条件以及该系统为概周期系统时，存在唯一严格正的全局渐近稳定的概周期解的充分条件。     

关于球诺埃曼函数递推公式的推导

球诺埃曼函数和球汉克函数的递推公式,在一般文献中[1][2]仅给出结果.本文采用一种简明的代换,推导了球诺埃曼函数的递推公式.同时指出此类方法可推广到一般情况.     

化学中的自组织反应及其应用前景

简要介绍了化学振荡反应研究的重要史实 ,并用耗散结构论的基本论点 ,分析了化学振荡产生的必要条件 ,在此基础上进一步阐明了振荡反应的实质