查询词典 differentiation of implicit function

The precision of integration can be evidently improved by using smooth function transition, adaptive step size change method, implicit integration and predictor corrector method. Increasing the order of the LMM may not improve the precision in this case.

采用光滑函数过渡、自适应变步长技术及隐式和预测校正等方法，可以有效地提高数值计算精度，而提高方法的阶次不能有效提高精度。

A problem of cable force optimization of cable-stayed bridge is equated as a nonlinear implicit optimization model. In the mathematical model, the object function is minimizing summation of bending strain energy and axial strain energy, and the constrain conditions are nonlinear and related to reasonable finished dead state. The optimization model is solved by projection gradient method, fully considering all kinds geometric nonlinearity.

把超千米级斜拉桥的索力优化问题归结为非线性隐式优化的数学模型，以系统最小弯压应变能为目标，根据合理成桥状态指定各种非线性约束条件，利用投影梯度法进行优化问题的求解，求解过程中充分考虑了各种几何非线性的影响。

The algorithm of the static voltage stability region s tangent plane through the characteristic vector method or the implicit function derivative method is presented in the total parameter space,which can provide quantitatively the influence degree of all kinds of parameters on the voltage stability region.

提出了基于全参数空间的静态电压稳定域的2种切平面计算方法：特征向量法和隐函数求导法。

Although it is ought to apply the implicit function theoremafter noticing the solution of this problem when r=0,there is an obstacle origi-nated from the unboundedness of initial value when proving the reversibility of arelated mapping.

又是初值问题，再加上初值函数还是无界的。

Procedures function is to be able to achieve animation characters, such as rotation and some bright Yam implicit changes.

详细说明：程序的功能是对能够文字实现动画，如旋转和一些阴隐明亮的变化。

If changes in the DLL cause the export ordinals to change, applications using explicit linking do not have to relink (assuming they are calling GetProcAddress with a name of a function and not with an ordinal value), whereas applications using implicit linking must relink to the new import library.

如果DLL改变导致输出顺序改变，使用显式连接的应用不需重新连接（因为使用GetProcAddress调用函数名称而不是顺序值）。而隐式连接的应用需要重新连接新的输入库。

The result pointed out that the vertical distribution of foliage for each species was different,however,generally speaking,the foliage in upper crown (0.3CL) for broad-leaved species in natural secondary forest took a small percentage,about 10%;in middle or middle lower of the crown(0.4CL to 0.8CL) the branches here took the majority percentage of whole foliage,almost 60%to 75%;but in lower crown(0.8CL),there was about 10%of whole foliage.(5)The interspecies competition of trees in secondary forest was expressed by Hegyi competitioin index,and the active competitor was calculated by the competition zone radius and the tree position,DBH,and distance in the zone,it was not all competitors in tranditional calculation.The study introduced crown area overlap index to describe the crown competition between subject tree and its competitors,furthermore,the crown area was classified into 5 levels with a method of equal crown projection area,therefor,the resulting crown area overlap index showed more realities of existing stand conditons.(6)Based on the theoretics of multiply divide,the spatial strcture optimizing model of secondary forest stand selective thinning was developed by diversity mingling,aggregation index,competition index and crown area overlap index,also designed 10 constraint conditions which were related to forestry meanings,the objective function was solved by the implicit enumeration method with LINGO 9.0,using 0-1 integer programming.

并且得出，每个树种在树冠内相对高度上的叶量的垂直分布是不同的，天然次生林阔叶树种的叶量在树冠的上部(0.3CL以下)所占比例很小，约占10%左右；在树冠的中部以及中下部(0.4CL～0.8CL)，叶量所占比例最大，几乎集中了整个树冠60%～75%的叶量；而在树冠的下部(0.8CL以下)，几乎占很少的叶量，大约10%左右。5、采用Hegyi竞争指数来表现次生林内林木的竞争关系，并且根据竞争圈的大小和林木在竞争圈内的分布位置、大小与距离来计算有效的竞争木，并不是传统意义上的全部竞争木；本研究提出用树冠叠加指数来表示林木与周围树木的树冠竞争情况，并采用等树冠投影面积法把树冠分为5级，这样计算的树冠叠加指数更加与现实林分相符。6、本研究基于乘除法的思想，用多样性混交度、聚集指数、竞争指数和树冠叠加指数构建了天然次生林择伐空间优化模型，设计了10个与林学意义相一致的约束条件，并采用0-1整数规划的思路，在LINGO9.0软件中使用了隐枚举法对目标函数求得最优解。7、以M702标准地为应用实例，具体计算出了每株采伐木，经过择伐后，目标函数值按模型设计的要求发生了极大的改变，增加了5倍多，说明了最后这个解的优良性，满足了设计的要求。

But, in experiment 2, even if learning letter list was cancelled so that the function of instructions was weakened, implicit learning still existed.

但是，在实验2中，省略了学习字表，以致于弱化了指导语的作用，但内隐学习依然存在，只是内隐与外显学习效果之间的差异不显著。

This commentary raises and examines several implicit challenges that emerge from attempting to construct theory: defining the function of theory itself; what purposes it is being asked to serve; the underlying analytical basis for a theory; its intellectual coherence and the capability to connect disparate environmental, social, political and economic dimensions; and the problems associated with theory-building at the empirical level.

本评论提出并考察了一些在构建理论的努力过程中得以显现的隐性的问题：明确理论自身的功能；它所要达到的目的；一种理论最根本的分析基础；它在理性上的融贯一致性，把环境、社会、政治和经济等不同方面结合在一起的能力；以及在经验层面上与理论构建相关的问题。

In this paper, the mechanisms of the generation, migration and production for coal seam gas are researched and the geological model for coal seam gas reservoir simulation is presented, according to the theories and methods of coal seam gas geology, petroleum geology and dynamic of fluids through porous media. A three-dimensional, dual-porosity, two-phase, pseudo-steady, non-equilibrium sorption mathematical model is established with the help of petroleum reservoir numerical simulation method. After that, this complex mathematical mode is approximated and solved by finite-difference and fully implicit methods. Coal Seam Gas Reservoir Simulation software in 1. 0 version (CSGRS 1. 0) with Chinese interface of pre-and post-processing function is developed.

本文应用煤层气地质学、石油天然气地质学和渗流力学等学科的理论和方法，研究了煤储层中煤层气的生成、储集、运移和产出机理，概化出了煤层气储层模拟的地质模型；以油气藏数值模拟和数值计算方法为工具，建立了描述三维、双孔隙、非平衡吸附、拟稳态条件下气-水两相流体混相运移规律的煤层气储层模拟的数学模型；详细推导出了该数学模型的全隐式求解方法；并借助计算机技术开发了具有中文操作界面的煤层气储层数值模拟软件CSGRS 1.0，实现了这一复杂数学模型的数值求解。

Many will continue to choose to live in duality and in conflict.

许多人将继续选择活在二元对立性和冲突中。

I find that students of the University of Physical Education all wear sportswear at first sight.

我发现：体育大学的学生乍一看，都是穿运动衣，大家都一样