柯西不等式证法探讨

利用配方法、构造二次三项式、二元二次型的正定性、拉格朗日恒等式、行列式性质、数学归纳法以及算术平均-几何平均不等式等7种方法给出了柯西不等式的7种证法.     

关于平均值不等式的若干证明

本文总结了平均值不等式的三种证法,一是数学归纳法,第二是函数法,最后是特殊不等式法。总之,平均值不等式的证明方法很多。     

Time motion analysis of 2001 and 2002 super 12 rugby

The aim of this study was to quantify movements of Super 12 rugby players in competition because information on elite rugby players' movements is unavailable. Players were categorized into forwards [front (n = 16) and back row (n = 15)] and backs [inside (n = 9) and outside backs (n = 7)] and their movements analysed by video-based time motion analysis. Movements were classified as rest (standing, walking and jogging) and work (striding, sprinting, static exertion, jumping, lifting or tackling). The total time, number and duration of individual activities were assessed, with differences between groups evaluated using independent sample t-tests (unequal variances), while differences between halves were assessed with paired sample t-tests. Forwards had 7:47?min:s (95% confidence limits: 6:39 to 8:55?min:s, P<0.01) more time in static exertion than backs, but backs spent 0:52 (0:34 to 1:09, P = 0.01) min:s more time sprinting than forwards, and had a 0.7 (0.3 to 1.2, P = 0.01) s longer duration of each sprint. Forwards spent 7:31 (5:55 to 9:08) min:s more time in work activities (P = 0.01) and had 2.1 (1.3 to 2.8) s longer work durations (P<0.01) than backs. The results indicate frequent short duration (<4?s) work efforts followed by moderate duration (<20?s) rest for forwards, and extended (>100?s) rest duration for backs. High-intensity efforts involved static exertion for forwards (mean?±?standard deviation frequency = 80?±?17) and sprinting for backs (27?±?9). In conclusion, after nearly a decade since becoming professional, elite rugby union is still characterized by highly intense, intermittent movement patterns and marked differences in the competition demands of forwards and backs.     

孔子的中庸德性观

中庸思想最早由儒家创始人孔子提出,但其思想渊源可以追溯到尧舜禹三王相授相受之道以及夏商周三代的相关思想。从伦理学的角度看,孔子以“中庸”为最高的美德和人们所具有的一种内在的最高的德性。孔子之中庸与仁、礼内在联结。作为理想人格的中庸,表现为仁智勇的内在统一。     

非齐次等式约束线性回归模型回归系数的广义条件岭估计

时非齐次等式约束线性回归模型回归系数提出广义条件岭估计.证明了在一定的条件下,在均方误差矩阵、均方误差及广义均方误差意义下,广义条件岭估计都优于约束最小二乘估计和狭义条件岭估计.     

中国经济空间格局演变及其CO2排放效应

改革开放以来,中国经历了由东部率先发展到区域协调发展的区域战略调整,中国经济空间格局发生较大改变.探究CO2排放量对经济空间格局演变的响应,对中国尽早实现CO2排放达峰目标、确保可持续发展具有重要意义.本文在刻画1985-2017年中国经济空间格局演变特征的基础上,基于LMDI因素分解方法分析了中国CO2排放的驱动因素...     

对2的定性解释和定量计算

首先对输运过程中穿过参考截面ΔS的气体分子自由程的平均值λ穿为什么不等于λ而是大于λ作出了定性解释,然后通过定量计算求出了λ穿=2λ·     

正则化方法在非光滑分析中的应用

用正则化方法,借助于数学分析中的凸性判定定理及微分中值定理,证明了非光滑分析中的凸性判定定理及广义微分中值定理     

中庸之道的现代解读

中庸之道的哲学内涵可概括为：适度、整体、权变与和谐四大原则。其中，整体和谐性是中庸之道最本质的特征。中庸之道伟大而深奥，它是儒家文化、中华文化的核心，是最富有影响力的学说之一，对中华民族的文化心理、思维模式、价值取向及行为方式都有着深刻的影响。     

中庸思维方法的物理学解构初探

本文结合物理过程或物理现象,详细地研究了"中庸"思维中的"两端同变"和"两端异变"情况,提出了"执两弃中"之说,拓展人们对中庸思想的认识。