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It is known theoretically that to the variational problem with weak constraints in cost functional J, its Euler equation can be discreted into difference format, by using matrix theory and difference method of partial differential equation we know that there exists optimal selection of weight factors in the cost functional under the condition of minimal variance between analysis field and ideal field.

从理论上可知,对于目标泛函J带有约束条件的变分问题,将其Euler方程离散成差分形式,利用矩阵理论和偏微分方程的差分方法,则目标泛函的权重因子,在分析场和理想场的最小方差意义下存在最优选取。

The main content of the study includes: the policy variables are classified into two types, which are continuous policy variable and discrete policy variable, and the two variable is analyzed respectively; as to the continuous policy variable, use reasonable weighting to synthesize comprehensive policy indicator to reflect the comprehensiveness of each main policy indicator; undertake regression analysis for the comprehensive policy indicator, economic and stock market variable and get the effect of all kinds of comprehensive policy indictor variables on the economy and stock market; undertake regression analysis for data on the economic indicator and the data on the stock market and get the relationship between the economy and the stock market; use event research method to analyze its effect on the stock market and get some corresponding conclusions; structure the differential or difference equation groups on the interactive relationship among the variable economy, stock market and policy and do the difference operation and constitute simultaneous equation with the original main variables one after another; use quantitative regression method and solve the coefficient of the simultaneous equation to predict the operating tendency.

本研究主要内容包括:将政策变量划分为连续性政策变量和离散政策变量两个类型,并分别进行分析;对于连续性政策变量,采取合理的权重来合成政策综合指标,反映各主要政策指标的综合力度大小;将各政策综合指标与经济、股市变量进行回归分析,获得各类政策综合指标变量对经济、股市影响程度的大小;将经济指标数据与股市数据进行回归分析,获得经济与股市之间关系的大小;采取事件研究方法来分析其对股市的影响程度;构建关于经济、股市与政策各主要变量之间互动关系的微分或差分方程组,进行差分运算,并以此与原来各主要变量组成联立方程;运用计量回归方法,求出联立方程系数用于预测。

Using this method, we obtain the difference equation with variable coefficients and a fixed order.

使用这种离散方法,我们得到变系数但不变阶的差分方程。

Difference equation is a sort of powerful means to investigate the rule of the discrete natural phenomena.

差分方程是描绘离散型自然现象变化规律的强有力工具。

Both finite element method and discrete operator difference method can be pushed forward from which.

由该方程不仅可以得到有限元法,还可得到离散算子差分法。

When discrete characteristic of digital images is considered, finite difference approximates differential operator.

考虑数字图像离散化特征,用有限差分近似微分运算,将由PDE描述的反射图方程转化为关于未知高度的代数方程,然后使用迭代算法求解,得到新的SFS算法。

On the other hand,the structure of differential operator and that of difference operator are very similar,therefore,it is a urgent task to find in the current scientific research a new theoretical framework,which can unify the continuous systems and the discrete ones for the sake of study in order to not only avoid unnecessary repetition in work but also be able to make better insight into the nature of the differences among different systems.

因此,能否找到一个新的理论框架,将连续系统与离散系统统一(来源:9dABC论9e9e文网www.abclunwen.com)起来进行研究,从而避免不必要的重复工作,且能更好的洞察不同系统之间的本质差异,已是当前科学研究的当务之急。

Two eight-node brick elements were generated using discrete operator difference method.

给出了两个八结点块体单元,虽然单元中位移函数是非协调的,不需特殊处理便可保证离散格式收敛,并对单元位移有十分好的反映能力。

In these years,some re-search works have began to consider the discrete Integrable equations,i.e.replace thepartial differential operator by the difference operator.

近年来,随着经典可积系统理论的不断完善,可积系统方面的研究逐渐开始转向离散可积系统,即用差分算子代替微分算子来构造可积系统,目前该方向的研究正在蓬勃发展。

Based on reliability analysis of frame structure, in this paper, the relative difference quotient methods is used for optimization of the frame structure, and a iteration scheme to find the optimum solution is presented.

以框架结构系统的可靠性分析为基础,给出离散变量框架结构可靠性优化的相对差商方法及迭代格式,并用算例证明了该法的有效性及实用性。

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