查询词典 derivative

The dynamic stability of simple supported viscoelastic column, subjected to a periodic axial force, is investigated. The viscoelastic material was assumed to obey the fractional derivative constitutive relation.

研究简支的受轴向周期激励的粘弹性柱动力稳定性，柱的材料满足分数导数型本构关系。

The method can beused to solve the integro-differential equation included fractional integral orfractional derivative in a long history and the difficulty of storing all history data isovercome and the error can be controlled.Two numerical examples are presented.

利用该方法可对包含分数积分和微分的积分-微分方程进行较长时间的数值模拟，克服了存储全部历史数据的困难，并能对计算误差进行控制。

In the third chapter,the Lévy-Feller advection-dispersion equation describing anomalous diffusion,with asymmetric fractional derivative,is considered.

更多程不同的是，在三维情形中，分数阶导数的复杂性使得在构造差分格式时所添加的摄动项也非常复杂，由此所构造差分格式的理论分析也变得比较复杂。

The analysis results show clearly that the fractional derivative Maxwell model can embody both the creeping and the relaxing of the viscoelastic materials.

通过分析分数微分Maxwell模型的复模量，证实该模型具有广适性。

This method was applied to preprocess the 2-D seismic data of Shengli oilfield, showing that the fractional order derivative profile can effectively describe the unconformity and reflect the lateral changes of actual interface.

对胜利油田某区块实际二维地震资料进行了试处理，结果表明分数阶导数剖面能很好地描述不整合面，反映实际界面的横向变化。

We give some equivalent characterizations of Bloch type functions in term of fractional derivative, via studying the relative of growth of the different order fractional derivatives of holomorphic function, including the form of supremum and limit, the form of integral and Carleson measure, which are the generalizations of some known results in the unit disc and in the unit ball.

我们从研究全纯函数分数次导数的增长性入手，利用分数次导数给出了它的一类刻画，包括上确界和极限形式的特征，积分形式的特征以及Carleson测度形式的特征，推广了单位圆盘和单位球上一些已有的结论。

It is a non-symmetirc fractional derivative, with two-side fractional derivatives and skewness parameter,which results in the complicated disposal of the discrete form.

分数阶微分方程是指方程中含有非整数阶的导数，它非常有效地描述各种各样物质的记忆和遗传性质，在工程、物理、金融、水文等领域中发挥了越来越重要的作用。

According to the fractional derivative model of viscoelastic damper and force-deformation-slip relation of friction element,a precise finite element model of FVD is constructed,and the method for forming element stiffness matrix and control force vector of FVD is deduced.

针对粘弹性材料的分数导数模型和摩擦单元的力-位移-滑移量的矩阵关系式，建立了FVD精确的有限元模型，推导了FVD单元刚度矩阵和控制力向量计算公式和求解方法；根据钢筋混凝土框架结构的非线性特性，建立了设置FVD非线性钢筋混凝土框架结构地震反应时程分析的控制方法。

Comparing with classical viscoelastic models, fractional derivative models describe not only the constitutive of viscoelastic material and the related mechanics properties accurately in wide range, but also need less model parameters.

分数导数模型与其他经典模型相比不但能够精确地描述粘弹性材料的本构关系及其力学特性，而且确定模型所需实验参数少、能够在较宽的频率范围内描述材料的力学行为。

In Chapter 3, considering fractional relaxation equation, we make use of directlythe Grunwald-Letnikov definition to discrete fractional derivative, obtain a numericalmethod of fractional relaxation equation,and give the proof of consistency ,conver-gency and stability.

第三章对于一个推广到分数阶的松驰方程，直接利用Gru¨nwald-Letnikov分数阶导数定义进行离散，得到分数阶松驰方程一个数值方法，并给出了相容性，收敛性和稳定性的证明。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。