拉格朗日中值定理的另一种证明

格朗日中值定理是微分学中的一个重要定理,其证明方法有多种,但主要是通过构造函数进行的。文章提供了一种新的不通过构造函数进行证明的方法:借助于图形直观,构造一系列闭区间,利用区间套定理和文章提出的引理进行证明。     

真空干燥机控制技术研究

控制系统是真空干燥机核心,对干燥机的性能和质量有较大影响．真空干燥机的生产方式主要分为间隙式生产和连续式生产两类,为更好地满足工艺流程要求,应采用不同的控制技术设计其控制系统．间隙式生产方式设计以PLC为主控单元,连续式生产设计应用PLC和连续式控制器来共同控制．两种控制技术已成功地应用于生产实践．     

糖酵解供能真假超量恢复区间的探析

超量恢复规律鲜有成功应用的报道,是理论还是实践出了偏差? 为此,文章将通过对真、假超量恢复区间的研究,初探供实践之用的恢复理论.方法:大鼠147只,随机分21组;造模1周后,游泳训练2周.按36h超量恢复区间连续在训练后即刻、休息36h取样.结果:超量恢复组①心脏:前6×36h区间适应期、正叠加,第7区间极限,8-9区间负叠加过程;②肝脏:前4区间正叠加,第5区间极限,6-9区间负叠加过程;③肾脏:前4区间正叠加,第5区间极限,6-9区间负叠加过程;④糖酵解供能:前4区间正叠加,第5区间极限,6-9区间负叠加过程.结论:①超量恢复区间含正、负叠加过程,即真、假超量恢复区间;②负叠加过程的发展终导致过劳死发生,正、负叠加过程的转折点为生理极限.     

关于工业管道紊流阻力系数的柯列勃洛克公式迭代算法的收敛区间研究

本文研究了适用于工业管道紊流三个阻力区（即光滑区、过渡区和粗糙区）阻力系数计算的柯列勃洛克公式迭代算法的收敛性,给出了收敛区间．此项研究结果添补了关于这一问题的一项空白,为用计算机实现阻力系数的计算提供了可靠的理论依据．     

The effect of acute aerobic exercise on central arterial stiffness,wave reflections,and hemodynamics in adults with diabetes: A randomized cross-over design

BackgroundIndividuals with diabetes have greater central arterial stiffness, wave reflections, and hemodynamics, all of which promote the accelerated cardiovascular pathology seen in this population. Acute aerobic exercise has been shown to be an effective strategy for reducing central arterial stiffness, wave reflections, and hemodynamics in healthy individuals; however, the effects of acute aerobic exercise in reducing these outcomes is not well established in people with diabetes. Recently, implementation of high-intensity interval exercise (HIIE) has shown superior improvements in cardiovascular health outcomes when compared to traditional aerobic exercise. Yet, the effect of HIIE on the aforementioned outcomes in people with diabetes is not known. The purpose of this study was to (i) describe the central arterial stiffness, wave reflections, and hemodynamic responses to a bout of HIIE and moderate-intensity continuous exercise (MICE) in adults with diabetes; and (ii) compare the effects of HIIE and MICE on the aforementioned outcomes.MethodsA total of 24 adult men and women (aged 29–59 years old) with type 1 (n = 12) and type 2 (n = 12) diabetes participated in a randomized cross-over study. All participants completed the following protocols: (i) HIIE: cycling for 4 × 4 min at 85%–95% of heart rate peak (HR_peak), interspersed with 3 min of active recovery at 60%–70%HR_peak; (ii) MICE: 33 min of continuous cycling at 60%–70%HR_peak; and (iii) control (CON): lying quietly in a supine position for 30 min.ResultsA significant group × time effect was found for changes in central systolic blood pressure (F = 3.20, p = 0.01) with a transient reduction for the HIIE group but not for the MICE or CON groups. There was a significant group × time effect for changes in augmentation index at a heart rate of 75 beats/min (F = 2.32, p = 0.04) with a decrease following for HIIE and MICE but not for CON. For all other measures of central arterial stiffness and hemodynamics, no significant changes were observed (p > 0.05).ConclusionA bout of HIIE appears to lead to a greater transient reduction in central systolic blood pressure than the reduction observed following MICE; however, both HIIE and MICE improved augmentation index at a heart rate of 75 beats/min in people with diabetes. There was no significant difference in response to HIIE and MICE in all outcomes. This provides preliminary evidence on the role of HIIE on such outcomes in people with diabetes.     

论音阶和调律

本文通过对音乐中最重要的三种音阶和调律进行详细地分析和对比,总结出了各自的优点和缺点,对音乐作品的创作和分析都有着十分重要的意义。     

关于函数连续性的分析方法

本文利用函数的连续性定义，详细讨论了初等函数的连续性，以及几个特殊非初等函数的连续性和间断点的类型判断，展示了一些复杂的非初等函数连续性的讨论方法，这不仅说明了分段函数的多样性，而且对于研究函数的丰富性具有重要的指导意义。     

狭义相对论的时空结构及其特性

本文讨论了狭义相对论时空中的三种间隔及其特性。并根据洛仑兹变换给出了相应的证明，最后在三维时空图上形象他说明了它们的几何意义。     

一个可积性定理的推广与应用

给出《数学分析》教材中一个可积性定理的两种推广形式，并讨论了一些特殊函数的可积性问题。     

幂函数y=X~α(α>0)在无穷区间[0, ∞)上的一致连续性

本文讨论了一类函数y=x~α在无穷区间[0， ∞]上的一致连续性。