有一个极值问题，也有关于拉格朗日乘数法的，链式法则也会有的,约束条件下偏导数当然不会漏掉。
Expect one about a min/max problem, something about Lagrange multipliers, something about the chain rule and something about constrained partial derivatives.
我们来用方向导数，来描述一下相同的东西。
Let's say the same thing in terms of directional derivatives.
你可以想象一下对它们继续求偏导数，将会得到很多偏导数，所以我们要，仔细考虑那时的情形。
You can imagine that if you keep taking partials you may end up with more and more, so we will have to figure out carefully what the condition should be.
这很简单，然后我们得到了偏导数，关于a的偏导数，formal, partial, derivative,of,a, with, respect, to，在这种情形下，a的变化率。
So, that's pretty easy. Plus, then we have the partial derivative, a little a times the rate of change of a in our situation.
我们观察一下这个图像，就可以找到，速度为0的时刻，因此只需要观察，导数为0的情况。
So if we now look at this plot we can search for The Times that the velocity is zero so you have to look for the derivative being zero.
这就是说，可以很简单的写出dG在，恒定压强下对温度的偏导数，是负。
That is, it's easy to write down straight away that dG with respect to temperature at constant pressure s is minus s.
想象一下，一个导数作为车上的车速计。
在左截断右删失数据下，我们基于乘积限估计给出了分位密度估计，获得了分位密度估计及其导数的重对数律。
In this paper laws of the iterated logarithm for quantile density estimator and its derivative estimators are established when data are subject to left-truncated and right-censored observations.
探讨比值导数波谱法中相同除数因子下的不同零交点波长对食品混合色素检测的影响。
The effect of different zero crossing wavelengths on determination of mixed colorants in food under the same divisor factor in derivative ratio spectrum were discussed.
在适当条件下，获得了配置解的导数在结点集上成立的精细误差展开式。
It is shown that the first derivative of the corresponding collocation solution admits, under suitable assumptions, a precise error expansion at the knots.
本文采用随机系统识别方法，在模拟的风雨共同作用条件下识别了薄平板模型的气动导数。
In this paper, the flutter derivatives of a thin plate model under the simultaneous actions of wind and rain are identified by using the Covariance-Driven Stochastic Subspace Identification method.
利用差商代替难以计算的精确导数，结合既约梯度法的思想建立新的算法；在目标函数一致凸的条件下证明了既约差商法的整体收敛性。
The difference coefficient was used to replace the exact derivative which is difficult to be computed, and a new algorithm was presented by using the idea of reduced gradient method.
对于存在定压边界煤层气藏，压力双对数曲线的晚期是水平直线段，压力导数双对数曲线的晚期都是急剧下掉的曲线。
As for the coal-bed gas reservoirs with constant pressure boundary, the log-log pressure curves are horizontal lines and the log-log pressure derivative curves are falling rapidly in the late stage.
文中还推导了多机系统下tef对时间的导数的一般公式，并以单机无穷大系统为例，图示说明了所设计的TCSC稳定控制策略的效果。
The general formula of TEF's derivative for multi machine system is deduced, and taking single machine infinitive bus system as example, the effect of the designeds...
采用2种方法证明了初始导数、极限值对应相等的情况下，指数曲线模型、2参数双曲线模型分别是3参数模型的上界、下界；
Two mathematic methods are presented to prove that 2-parameter hyperbolic model and exponential model are the superior limit and lower limit of the corresponding new 3-parameter model respectively.
在一般的条件下，证明了解的存在性，而且得到解及其各导数的高阶一致有效渐近展开式。
Under the general conditions, we prove the existence of the solution and get the asymptotic expansions of the solution and its derivatives, which are uniformly valid for the higher orders.
给出了更弱条件下的灵敏度分析，并且对其它真扰动映射的切导数之间的关系进行了分析。
Sensitivity analysis under weaker conditions is dealt with in this paper and the relationships among the contingent derivates of the other proper perturbation mappings are investigated.
本文系统研究了静态电极下阶梯扫描平行催化伏安法及其各阶导数卷积和导数的理论。
This paper investigated systematically on the theory of catalytic voltammetry with staircase potential ramp at a stationary electrode.
研究了一类和广义微分算式(在弱导数的意义下)相联系的最小算子和最大算子。
It is shown that the minimal operators are symmetric and the adjoint operators of the minimal operators are exactly the corresponding maximal operators.
在激波附体的条件下，本文的方法可用于计算大迎角尖前缘任意翼型的超音速和高超音速俯仰安定性导数。
This method may be used to calculate the arbitrary airfoils with sharp leading edge provided that the shock wave is attached.
最后，在恰当的假设条件下，获得了弱扰动映射的二阶邻接导数的上半连续和下半连续性。
Finally, under suitable assumptions, we obtain the upper semicontinuity and the lower semicontinuity of second-order adjacent derivatives for the weak perturbation maps.
研究了激光器阵列的电导数表征方法，建立了激光器阵列的等效电路模型，导出了理想情况下阵列的电导数公式。
An equivalent circuit model of a laser array is established, and simulated processes are imposed on the model using PSPICE.
可在不进行求导数运算的条件下，通过区间运算获得作战效能随武器装备的技术战术性能和作战使用方式改变而变化的情况。
The method can be used to obtain the change of operational effectiveness with technical performance of weapon system and the operation mode without using operations of partial derivatives.
可在不进行求导数运算的条件下，通过区间运算获得作战效能随武器装备的技术战术性能和作战使用方式改变而变化的情况。
The method can be used to obtain the change of operational effectiveness with technical performance of weapon system and the operation mode without using operations of partial derivatives.
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