积分的上限

Theorem 1 Let be continuous on the closed interval and let be a point in.

如果函数在区间上连续，则积分上限函数=在上可导，并且它的导数是

This kind of non-smooth and nonlinear system is smoothed in this paper by using an infinitely differentiable real function instead of the Heaveside function.

积分上限取值对碰摩转子系统响应的影响还与系统的阻尼、不平衡参数、重力参数、碰摩刚度等参数有关。

Using variable upper limit integration and Lagrange mean value theorem,this article proves the first mean value theorem under the same condition and give several spread of the first integral mean value theorem .

在条件完全相同的情况下改进积分第一中值定理，并利用变上限积分函数和拉格郎日中值定理证明该定理，并给出积分第一中值定理的几个推广

It is difficult to compute directly the coefficients from the integral formula, since the integral function in the formula of the ideal digital fractional differentiator is a high-order oscillating function.

从理想数字分数微分器系数计算公式的特点考虑，利用变量代换把积分函数中的振荡因子转换成积分上限，避免高阶振荡函数积分计算，给出了计算分数微分器系数的递推公式。

The analysis shows that this method makes full use of the measured data of the impulse response from start to finish.

该方法充分利用了脉冲响应从早期到后期的所有测量数据，降低了信噪比和积分上限对混响时间估值结果的影响。

The computing plots of the solutions from the two methods were inconsistent under the specified boundary-initial conditions, which stirred up the debate of the effectiveness of Maxwell's equations in lossy medium. It is found that the differences between the two numerical curves can be viewed as the Gibbs phenomenon caused by cutting off the high frequency components in computing the infinite integral of the numerical curve of Harmuth's solution.

通过比较两种解析解的数值曲线得出：两者的差异在于求解Harmuth解的数值曲线时，采取无穷积分的高频截断近似产生了吉布斯现象；在计算Harmuth解的数值曲线时不断增大积分上限，其数值曲线的振荡不断向不连续点处收缩，而且衰减加快，因此在求解Harmuth解的数值曲线时，若积分区间取为理想无限大，则可以预见相同计算精度下两种方法的电场解的数值曲线是一致的。

The number "a" that is at the bottom of the integral sign is called the lower limit of the integral and the number "b" at the top of the integral sign is called the upper limit of the integral.

在积分号底部的字母"a"叫做积分下限，而在积分号顶部的字母"b"叫做积分上限。

What is discussed in this paper is on the applications of the integral upper limit function in proving the equality, proving the inequality, calculating the repeated integral , the theorem of integratl mean value , prove the theorem of differention mean value .

给出了积分上限函数在证明等式和不等式、算累次积分、明微分中值定理和积分中值定理中的应用。

The upper limit t and varable t in the integrand in Boltzmann hereditary integral are expressed as different forms, and explained as another meaning in this paper.

对以往遗传积分的表达式中积分上限t和被积函数中变量t给以不同的解释。

Study on proof of sum of products equality and its application

给出了积分上限函数在证明等式和不等式、计算累次积分、证明微分中值定理和积分中值定理中的应用。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。