我们再求一次导数，也就是对导数求导。
Let's sneak in one more derivative here, which is to take the derivative of the derivative.
位场垂向二次导数是基于拉氏方程求得的。
The Second vertical derivative of the potential field is obtained from Lapace's equation.
这里有一个测试的方法，但是它比二次导数复杂多了。
There is a criterion but it is much more complicated than that.
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.
本文介绍了二度空间重力垂直一次导数的级数展开计算法。
The 2d series expansion algorithm of vertical first derivative of gravity is briefly stated in this paper.
为了提高分辨率，可采用重力场的二次导数曲线作滤波因子。
The second derivative curve of the gravity field can be used as filtering factor so as to improve resolution.
利用重力场的泰勒级数展开式，可求出重力异常的四次导数。
The forth derivative of gravity anomaly can be obtained by Taylor series expansion of gravity field.
本文提出次导数概念，次导数具有区间的性质并且对计算是十分方便的。
In this paper, the concept of subderivative is proposed. The subderivatives have property of interval.
用重力垂直一次导数来进行反演可提高解释精度，还可以用来研究基岩结构。
The reversion of the vertical first derivative of gravity can improve interpretation accuracy and is useful for researching into bedrock structure.
经过化极垂向一次导数和垂向二次导数的验证，吻合很好，说明浅部异常的可信度高。
The checks by the vertical first derivative and second derivative anomalies reduced to the pole show good coincidence, which proves the reliability of the shallow layer anomaly.
重力异常四次导数和重力异常二次导数一样，具有突出局部异常，压制区域异常的作用。
As the second derivative does, the forth, derivative of gravity anomaly projects local anomaly but suppresses regional anomaly.
实践证明，三至五次多项式就能产生足够小的残差和单调递增的导数。
In general, experience has shown that third-to fifth-degree polynomials produce sufficiently low residuals and monotonically increasing derivatives .
然后得到拟三次插值格式，这一格式只用到两个一阶导数值。
And then, the quasi-cubic interpolation format has been put out, only with two of the first derivatives concerned.
该方法仅需进行一次系统矩阵的分解就可获得高精度的多个复振型导数。
Finally, many complex mode shape derivatives of high accuracy can be obtained by decomposing system matrices only once.
将拉格朗日插值问题、泰勒插值问题揉合为一体进行综合推广，即高次带导数的插值问题的一般情形；
To extend the interpolation problems of Lagrange and Taylor is the ordinary problem about interpolation with derivatives of higher order;
由求解失效概率的改进一次二阶矩法出发，给出了失效概率对中间变量分布参数偏导数的计算公式；
On the basis of the advanced first order and second moment method, the partial derivatives of the failure probability to the distribution parameters of the process variables were formulated.
它在二维三次卷积插值法的基础上利用三次样条插值法的插值函数具有三阶连续导数的性质而得来的。
It is acquired from that it makes use of that the interpolation function of cubic spline interpolation has a continuous third derivative on the base of two-dementional cubic convolution interpolation.
方法采用水平梯度法和二次垂直导数等方法提取微弱信息，利用数字图象显示技术成图。
The horizontal gradient anomalies and two derivatives methods are adopted to extract faint information as well as other methods, and digital image display technique is used to show the results.
所提出的插补方法采用五次样条和四次曲线多项式微分法近似求取导数，能够更好的满足精确加工的需要。
The applied interpolation method adopts quintic spline and derivatives generation approach for discrete points by using quartic polynomial, which can better meet the needs of high-accuracy machining.
本文采用两种方法来解决高温温区的外推标定问题，即基于二次曲线的导数最小二乘法和基于修正指数模型的趋势外推法。
One is differential least square method based on conic, and the other method is trend extrapolation based on modified exponential model.
根据有理函数及其导数性质，用微分法把有理函数分解为部分分式的和，给出了一次因式所对应的部分分式各系数和二次质因式前两对系数的计算公式。
Raised the differential method of resolving rational function into fractions, and formulas were suggested of the coefficients which correspond to liner factor and quadratic prime factor.
对于一般的非凸函数，其方向导数不具备任何凸性，可以利用一般正齐次函数的回收函数来给出它的一个上凸近似。
We research on describing preinvexity of functions in this paper by means of the density and weakly near convexity in the set.
对于一般的非凸函数，其方向导数不具备任何凸性，可以利用一般正齐次函数的回收函数来给出它的一个上凸近似。
We research on describing preinvexity of functions in this paper by means of the density and weakly near convexity in the set.
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