构造

Two types of new Abel differential equation are structured by method of variation replacement, variation position transformation and compound function derivation law.

借助变量替换法、交换变量位置法及复合函数求导法则，构造出两类新的 Abel型微分方程，论证它们的可积性，提供可积的判据，从而推广有关文献的结论，扩大微分方程的可积范围。

As the center or the Algebra subalgebra of a algebra plays an important role in reducing the number of state variables, the cartan subalgebra is a maximum Abelian subalgebra of an algebra, so it can be a powerful tool for the structure simplification of control systems.

由于代数的中心，或交换子代数在系统的变量降低方面具有重要作用，而Cartan子代数是李代数的极大交换子代数，因而它能成为简化系统结构的有力工具，第二部分利用向量场的积分曲线所定义的映射，构造出一个S—坐标，在该坐标下任一向量场都有一个标准的表示方法，一种无穷级数表示方法。

The numerical algorithm based on theories of projecting and Laguerre,such as homology,circular points and ω of absolute conic is established,an iterative elimination method is applied to boost the nonlinear problem solving.

通过调和射影及Laguerre定理的推论求解出平面圆环点的共轭虚像，利用平行六面体照片存在的三对圆环点的虚像，构造对无穷远平面绝对二次曲线的像ω的约束，使用辗转相除法求解非线性问题。

The absolute majority of tectonists base their constructions on the model of an unmovable Earth.

绝大部分构造学家的学说是建筑在不运动的地球模型上的。

In this paper we proposed an improved method which changes the definition of the 4-neighborhood model. we call it side neighborhood minimum absolute weight prediction tree technique. lt can simplify the algorithm and improve the results of lossless compression.

本文对预测树方法进行改进，提出一种侧邻域最小绝对权值预测树方法，通过改变预测树的四邻域定义，使构造预测树的算法简化，并且，实验结果表明，对不同类型的多光谱遥感图像，SNMAW的压缩效果与MAW的压缩效果相近或有所改善。

By invoking a suitable measure of shape, e.g., the absolute rotation index or elastic bending energy, a "good" interpolant is selected. A new means to differentiate among the solutions is introduced here, namely, the winding number of the closed loopformed by a union of the hodographs of the couple of PH cubic and of the unique "ordinary" cubic interpolant.

已有的插值算法都是依赖于构造出所有四个解，利用绝对旋转数或弹性弯曲能量来找出这条"好"的插值曲线，本文介绍一种新的方法来区分这些解，即用由三次PH曲线偶和惟一传统三次插值曲线的速端曲线形成的闭环的弯曲数来区分。

Previous interpolation algorithms have relied on explicitly constructing all four solutions,and invoking a suitable measure of shape,the absolute rotation index or elastic bending energy to select the"good"interpolant.

已有的插值算法都是依赖于构造出所有四个解，利用绝对旋转指标或弹性弯曲能量来找出这条"好"的插值曲线。

absolute term can substitute for square term for nonlinear action, when the square term in lorenz-like system proposed by liu is replaced by absolute term, a new hyperchaotic system containing absolute term can be constructed by using proper feedback control method.

绝对值项的非线性化作用往往可以代替平方项，liu等人提出的类lorenz系统中平方项用绝对值代替，并利用合适的反馈控制手段，可以构造一种新的含有绝对值项的超混沌系统。

Theorem 1 constructs a set of universal measure zero using continuous extension; Theorem 2 verifies absolutely continuous function being of good property under some condition; Theorem 3 reveals some relation between real function and meager.

定理1 主要运用了连续延拓构造了一个泛测度零集；定理2 证明绝对连续函数在一定条件下具有良好的性质；定理3 揭示了实函数与第一纲集的某种关系。

A modified mutation operator in BCA, Contiguous Region Hypermutation Operator, was introduced; a Markov chain model of the BCA was proposed; a novel method for the construction of transition matrices for the BCA was given. Consequently, it was proved that the BCA was convergent absolutely.

给出了在BCA中使用的一种变异算子－连续区域超体变异算子和BCA的Markov链模型，提出了一个新的构造算法的状态跃迁矩阵的方法，证明了BCA的绝对收敛性。

On closer examination, though, this is not a vote for multilateralism but just the opposite.

仔细审视后我们发现，这并非是对多边主义投出的赞成票，而是恰好相反。

Uncovering their weak spots, so I can defeat them.

揭露出他们的弱点，这样我就可以打败他们了。