查询词典 expansions

In order to enlarge the application scope of our algorithm, the expansions of eLiveSet on four ways are studied, that is, the gradient of multi-relation, the constraints on the gradient cell, the gradient in the interval and the different gradient function.

为了扩大了算法处理问题的范围，给出了eLiveSet算法在多种关系间的梯度、梯度元组约束条件、区间上的梯度、不同的梯度函数四个方面的扩展，这些扩展可以通过修改算法的相关部分来实现。

In this paper,we give the error expressions of piecewise linear Lagrange polynomial interpolation and piecewise cubic polynomial interpolation using the Taylor expansions.

中文摘要：本文利用Taylor展开得到三角形上线性Lagrange插值和三次Lagrange插值的导数余项公式，对这些余项公式进行分析，给出了两类能以四阶精度逼近被插函数在对称点的导数值的格式，一种是在均匀剖分时其分片线性插值的相邻单元的导数值的后处理格式，一种是在六片强正规剖分时的三次插值在对称点上的导数值的后处理格式，使得在已知原函数在各节点的值后，通过一个简单的线性计算就可得到原函数在对称点的导数的一个超逼近值，将以往提出的平均导数的二阶精度提高到四阶。

Beginning from user-specified strokes across space and time, the paper formulates their expansions in the video volume as a Laplacian equation, resulting in a coarse alpha matte.

只需在视频体上简单地勾画时空的前景和背景线条，然后构造一个拉普拉斯方程驱动线条在三维的视频体上进行扩散，得到一个粗糙的抠取结果。

For the compressible materials, in order to satisfy the higher-order compatibility equation of the rate of deformation in the centered fan sector, which is a quite difficult problem unresolved in the previous studies, a particular term must be added to the expansions of the stress components in the regular logarithmic power series adopted by many researchers before. A higher-order near tip field with tangential velocity jump ahead of the crack tip is derived first, of which the dominant terms are the solution widely accepted.

对可压缩材料，本文首先采用非规则的对数幂级数渐近展开方法，克服了过去研究中存在的中心扇形区变形率协调方程的高次渐近式不能被满足的困难，并得到了一个切向速度在裂尖前方存在间断的高阶渐近解，该解的主项就是目前被广泛接受的关于可压缩材料的尖端场解。

The detailed comparisons between the higher—order near tip solution and the well—known modified Prandtl field are also given in this paper.For the compressible materials, in order to satisfy the higher-order compatibility equation of the rate of deformation in the centered fan sector, which is a quite difficult problem unresolved in the previous studies, a particular term must be added to the expansions of the stress components in the regular logarithmic power series adopted by many researchers before. A higher-order near tip field with tangential velocity jump ahead of the crack tip is derived first, of which the dominant terms are the solution widely accepted.

对可压缩材料，本文首先采用非规则的对数幂级数渐近展开方法，克服了过去研究中存在的中心扇形区变形率协调方程的高次渐近式不能被满足的困难，并得到了一个切向速度在裂尖前方存在间断的高阶渐近解，该解的主项就是目前被广泛接受的关于可压缩材料的尖端场解。

Then you just go with the usual lurker contain with scourge, more hatches, more expansions, teching to hive and so on

然后你就可以走常规的潜伏者+自杀蚊封锁路线了，更多的基地，更多的分矿，升3本等等等等

In modeling heavy tails,we focus on multivariate t distributions and derive the moment generating function of the quadratic approximation.Then we use Fourier transform,Chebychev's Inequality and numerical technique inversion to approximate VaR value of portfolio,compared with Cornish-Fisher Expansions normal model and Delta-Normal model.

在推导出多个外汇期权的投资组合的二次近拟的矩母函数表达式基础上，本文使用傅里叶变换、切比雪夫不等式、数值转换计算求出投资组合的VaR的值，并和基于多元正态分布Cornish-Fisher模型以及基于Delta-正态模型计算所得的VaR值了进行比较。

The results show that at finite temperature the thermal expansions for interatom ic spacings near the ends of monatomic chain are larger than those in the middle of the monatomic chain, and the thermal expansion coefficients near the ends of monatomic chain are smaller than those in the midd le of the monatomic chain.

研究结果表明，在有限温度下，纳米单原子链中靠近两端的原子间距的热膨胀大于内部的原子间距的热膨胀，而原子链中靠近两端的原子间距的热膨胀系数小于内部的原子间距热膨胀系数。

The shorter monatomic chain has a larger mean value of thermal expansions for al l interatomic spacings and a smaller thermal expansion coefficient.

原子链的长度越短，则所有原子间距热膨胀的平均值越大，而原子链的热膨胀系数越小。

Third part: The relationship analysis of city expansion and the suburb farm development. First of all, city expansion has the characteristic of gradualness, regional, universality and integration. The city expansions effect is enlarging city scale, increasing the urban population and so on, Compared with other type farm, the suburb farm, lying in the city peripheral, has relatively developed economy, multipliable industrial structure, the better market growth and high the productive forces level. The city expansion changes greatly suburb farm strategic environment, urges the farm adjust its strategic development pattern.

第三部分：城市扩张与城郊农场发展关系分析，首先分析了我国城市扩张的阶段性、区域性、广泛性和一体性的特点，城市扩张的效果是城市规模扩大，城市人口增加等，然后说明了与其他类型农场相比教，城郊农场处于城市周边，经济相对发达，产业结构多元化特征明显，市场发育较好，生产力水平较高，城市扩张大大改变了城郊农场的战略环境，促使其战略发展模式的调整。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。