文章提出了一种广义导数的概念，得到了广义导数的运算法则，以及连续函数的中值定理。
In this paper, we introduce a new concept of generalized derivative, and derive its operational rules and the mean value theorem of continuous functions.
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.
而广义移动最小二乘近似要求近似函数及其导数在所有节点处的误差的平方和最小。
However, the generalized moving least squares approximation makes require least squares approximation with regard to functional and its derivative value on all nodes.
借助于这些集合和函数的定义思想，本文定义了E-凸锥、伪拟E -凸函数、E -凸函数方向导数等几种更广义的概念。
In this paper, with the aid of idea of defining those sets and functions, the definitions of E -convex cone, pseudo-quasi- E -convex functions, E -direction derivative are discussed.
设计变量可包含复合材料结构的铺层方向角。广义气动力导数计及正交振动形态导数的影响。
The design variables include the ply orientations of composite material, and the derivatives of generalized aerodynamic forces involve normal modes derivatives.
在非标准分析框架下，用离散函数定义新广义函数，用差商定义其导数。
By using nonstandard analysis, we define new generalized functions as discrete functions, and their derivatives are defined as difference quotients.
定义了n重导数，n元绝对连续函数，广义n重原函数及牛顿n重积分。
It defines n-ple derivative, n-ary absolutely continuous function, generalized n-ple primitive function and Newton n-ple integral.
其次讨论了一类新的广义梯度，这样的广义梯度能够充分利用已经有的方向导数的信息。
Secondly, the new generalized gradient is introduced to take advantage of the given directional derivative.
讨论了集值映射的切导数与广义凸之间的关系。
The relationship between tangent derivative and generalized corvex of set_valued mapping is dealt with in this paper.
在第四章里，引入集值映射的高阶广义相依导数和高阶广义邻接导数，同时讨论了它们的一些性质。
In Chapter 4, we introduce higher-order generalized contingent derivatives and higher-order generalized adjacent derivatives for set-valued maps, and discuss some of their properties.
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.
本文利用广义虚载荷概念，建立了应力、位移响应的一阶和二阶导数计算公式。
Based on the pseudo load concepts, general formulas for computing the first and second derivatives of behavioral parameters with respect to design variables are derived.
本文利用广义虚载荷概念，建立了应力、位移响应的一阶和二阶导数计算公式。
Based on the pseudo load concepts, general formulas for computing the first and second derivatives of behavioral parameters with respect to design variables are derived.
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