在微积分中，在函数的极小值点上导数等于零或者不存在导数。
In calculus, the derivative equals zero or does not exist at a function's minimum point.
基本上是的，那就是方向导数。
And that's basically, yes, that's the directional derivative.
基本上，答案就是，我们不可以用二次导数来验证这个情况。
Basically, the answer for us is that we don't have a second derivative test in this situation.
在此基础上，进一步探讨了同时含有状态摄动和状态导数摄动的不确定非线性系统的鲁棒性能准则设计问题。
Then the performance criteria design is discussed for a class of nonlinear uncertain systems with state perturbations and state's derivative perturbations as well.
用奇点分布法计算浮体在波浪上的运动需要多次计算自由水面格林函数及其导数。
The analysis of interaction between waves and floating bodies by singularity distribution method involves a great number of estimations for the Green Function with surface and its derivatives.
在此基础上提出了基于布尔偏导数的组合电路双故障检测的新方法。
Then, a new method testing the double fault of combinational circuits based upon Boolean partial derivative is proposed.
这些公式使得这些点子上的导数近似式是非对称形式。
These formulas make the approximations for the derivatives at these points in a nonsymmetrical manner.
文中给出放大器的速率方程组的解，并在此基础上导出理想放大器的前三阶导数的解析表达式。
By finding out the solutions to the rate equations of the amplifiers, the analytical expressions of the derivatives, up to the third order, of Pout with respect to Pin have been deduced.
在方向图和脊线频率的基础上，实现了基于二阶导数的指纹图像二值化算法；
We also improve on the binarization method of fingerprint images based on the 2~(nd) derivative by the orientation and ridge frequency of the images.
本文在经典力学的基础上，提出求解动点作平面复合运动的直接矢量导数方法和矩阵方法的定型公式。
On the basis of classical mechanics, the author derived a series of typical vector and matrix formulas for solving the problems of a particle that takes part in plane complex movements.
在一元函数广义导数定义的基础上，提出了多元函数广义偏导数的概念，相应地建立了广义偏导数的运算规则，获得了有关的一些性质。
Concept and operation rules of generalized partial derivative of multivariate function are given basis on generalized derivative of single variable function in this paper.
弦截法在牛顿法的基础上，利用差商来回避导数值的计算。本文推导了牛顿迭代法的各种改进方法。
On the basis of Newton method, Secant method used the difference quotient instead of calculating the value of derivative. his thesis derives improvements of Newton method.
本文对线性空间中的凸集上的实值函数定义一种导数，用其研究函数凸性，得到了上述三种凸函数的若干判定定理。
This paper defines a kind of derivative for real function on convex set which is in linear space. By means of the derivative we study convexity of function and obtain some decision theories.
在三角形域上构造对边界曲线和跨界导数插值的三角曲面是计算机辅助几何设计和计算机图形学等领域中的基本问题。
Constructing triangle surface which interpolates the boundary curve and cross-boundary slopes on a triangle is the basic problem in computer aided geometric design, computer graphics and so on.
本文在灰函数和灰极限的基础上，给出了灰函数的导数(或灰导数)的定义，并研究了简单灰函数导数。
Based on grey function and grey limit, this paper gives definition to derivate of grey function (or to grey derivate) and studies the derivate of simple grey function.
本文在泛灰函数的极限概念基础上，进一步讨论了泛灰函数极限的运算及运算性质，为讨论泛灰函数的连续性以及泛灰函数的导数奠定了基础。
Some definitions of four fundamental operations of grey number and grey function are given in this paper, also we have given the whiting method of grey function.
本文在泛灰函数的极限概念基础上，进一步讨论了泛灰函数极限的运算及运算性质，为讨论泛灰函数的连续性以及泛灰函数的导数奠定了基础。
Some definitions of four fundamental operations of grey number and grey function are given in this paper, also we have given the whiting method of grey function.
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