Corrected Stefan-Boltzmann Law and Lifespan of a Black Hole

The corrected Stefan-Boltzmann law of black holes in the frame of a generalized uncertainty principle is derived through the Planck equation of thermal radiation. The result is different from the fiat spacetime： a corrected T term induced by the generalized uncertainty principle emerges; the coefficient of the T4 term is no longer a constant while related with the spacetime in the vicinity of the event horizon and the thin film model. Applying this corrected law to black hole radiation, the highest temperature in the final time of the radiation and the corresponding remnant with a mass of order of Planck mass are obtained. The lifespan of black holes is also corrected, however, the correction is extremely small.     

多釜串联模型停留时间分布方差的推导

简要分析了理想反应器的特点,并指出现实反应器与理想反应器的区别,介绍了多釜串联模型描述实际反应器的思想.针对多釜串联模型的停留时间分布的计算函数进行逐步的推导,以阶跃法对模型进行分析,采用数学归纳法和分部积分法等方法推导出了多釜串联模型无因次停留时间分布函数表达式;根据停留时间分布密度函数定义,推导出了无因次停留时间分布密度函数的表达式;根据概率中方差的定义,推导出了无因次方差的表达式.     

Influences of Lorentz force on the hydrofoil lift

In this paper, Lorentz forces are proved to be able to suppress separation in flows over hydrofoils. Furthermore, a differential equation of pressure distributions on the hydrofoil surface is derived, from which it is found that BVF （boundary vortex flux） σ is a suitable criterion for describing the lift coefficient variations during the electromagnetic control process. According to our numerical results, the periodic variations of lift for a hydrofoil at an attack angle of 17 ° are analyzed and its inherent mechanism is discussed in detail with the concept of BVE On the other hand, the effects of Lorentz force on the hydrofoil＇s lift are investigated both experimentally and numerically for different magnitudes and locations.     

求解高阶KdV方程孤子解的一种简单方法

根据Jost解必须满足相容性方程,从2n 1阶KdV方程的第一个相容性方程推导出两个等式;用这两个等式构造出Gel'fand-Levitan-Marchenko方程,在无反射条件下,求解任意高阶 KdV方程孤子解的问题归结为纯粹的代数运算,从而避开了对Jost解的解析性进行繁杂的理论分析,因此更加便于实际应用.     

浅谈电流的有效值与平均值的区别

1有效值与平均值的区别 1.1有效值的定义 什么是有效值呢?它是指某一交流电通过电阻时,在一个周期的时间内所产生的热量和某一直流电通过同一电阻且在相同的时间内所产生的热量相等,那么这个直流电的量值就叫做该交流电的有效值.     

分块矩阵的正定性准则及其应用

本文给出了 3× 3分块矩阵的一个正定性判定准则 ,应用这个准则 ,给出了矩阵方程 (ATXB ,BT×B)=(C ,D)有正定解的充分条件及解的通式     

高阶正规形（normal—form）矩阵算法的研究

本文将计算Normal-form的常用方法－矩阵法编写成Mathematica程序包,借助于Mathematica的符号推导功能,将矩阵法的全部计算步骤模块化,使程序包具有通用性,适用于计算二维系统的任意阶normal-form、三维系数的2、3阶normal-form、高维系统的二阶normal-form。     

特殊同系列通式的推导

根据有机化合物同系列的系差特征,可以把同系列分成两大类——普通同系列和特殊同系列。     

关于有机物通式的推导

在中学化学教材中有很多化学基本概念,是进一步深入学习化学知识的基础。学习有机物有关知识时,同系物及通式是一个重要概念,烷烃、烯烃、炔烃及苯的同系物等的通式在教材中只是直接给出,没有推导过程。而同系物通式的推导,既能培养学生寻找规律的能力,又能训练表达规律的技能,同时能深刻理解通式的内涵。在学生“最近发展区”内编制针对性练习,来充实、丰富概念的内涵和外延,一者可使学习概念赋予“新意”,