线性的

The definitions of intrinsical linear nonholonomic constrain and intrinsical nonlinear nonholonomic constrain are put forward in this paper. The nonholonomic systems are divided into intrinsical linear nonholonomic system and intrinsical nonlinear nonholonomic system.The rational spectrums of all kinds of virtual displacement definitions and commutativity of d,?

本文研究了非完整动力学中使不定性问题确定化的交换关系和将非线性问题线性化的虚位移定义，首次证明并给出了在非完系统中各种虚位移定义与交换关系的合理适用范围，指出完整动力学与本质线性非完整动力学在研究方法上具有相同性。

It has some advantages over the previous methods, for instance, simplicity in complementation and high accuracy in estimation.

其次提出了基于基础矩阵的三线性约束关系估计方法，该方法与以往的三线性估计方法相比，具有简单易实现，且估计精度比较高的优点。

The experimental results show that for most continuous optimization problems, the strategy of concave function gains an advantage over the linear strategy, while the linear strategy outperforms strategy of convex function with the identical initial and final weights.

试验结果表明，对于多数连续优化问题，在初始权值和最终权值相同的情况下，凹函数递减策略优于线性策略，而线性策略优于凸函数策略，凹函数递减策略能够在不影响收敛精度的情况下较大幅度地提高粒子群算法的收敛速度。

At firstly assuming shear modulus is linear along depth, introducing differentiating operator of structure and using the stochastic vibration theory of continuative linear system, this paper studies the dynamic response problem of non-homogenize site soil.

首先假定土层的剪切模量随深度线性变化，引入结构微分算子，利用连续线性系统的随机振动理论，研究了非均匀场地土层地震的动力反应问题。

The scheme gave rise to a controller that clearly decomposed into a conventional linear model-based controller plus a nonlinear correction term.

这种方法所设计的控制器，可以分解为两个部分：一个基于线性模型的线性控制器；和一个基于模型非线性部分的校正环节。

In this paper,a design method of two dimensional Linear Phase Nearly Perfect Reconstruction filter banks based on a new class of cosine modulation systems is presented,which can be described as follow: firstly,the Parks-McClellan algorithm is adopted for designing the prototype filter,then by employing cosine modulation,a series of analysis and synthesis filters can be obtained,accordingly a one-dimensional LP-NPR filter banks can be constructed;Secondly,cascading two one-dimensional LP-NPR filter banks in the form of tree structure and using the unimodular transformation,a two dimensional nonseparable LP-NPR filter banks can be obtained.

提出了一种基于一类新余弦调制系统的二维线性相位-近似完全重构滤波器组的设计方法，设计过程分为两个步骤：首先采用Parks-McClellan算法来计原型滤波器，再经过余弦调制能到一系列的线性相位分析和综合滤波器，从而可以构造一维LP-NPR滤波器组；然后利用树状结构来结合两个一维LP-NPR滤波器组，并运用单位模变换，可以得到二维不可分离LP-NPR滤波器组。

We make use of them by multiple linear cryptanalysis method, present an algorithm and analyze its success rate theoretically.

结合多重线性密码分析的方法，利用这两个较好的线性逼近我们提出了相应的攻击算法，并从理论上分析了其成功率。

We present linear codes over finite fields with Mannheim weight and prove that those codes can correct one error taken from a cyclic subgroup of the multiplicative group of finite fields, which provide an algebraic approach in coding modulation.

最后讨论了有限域上的Mannheim线性纠错码，证明了当错误取值于有限域乘群的一个循环子群时，面向多维信号的线性分组码可以纠单个错并为码调制提供了一种代数渐进方法。

We accordingly propose to take the marginal decay curve as a criterion to check if an observed pulse could be taken as a candidate suffered from the Doppler effect.

第二个工作是，基于Qin模型我们研究了Kocevski et al。(2003)统计发现的γ暴FRED脉冲的上升宽度与全宽存在的线性关系。理论分析表明，纯粹多普勒效应就可以产生这种线性关系。

In this paper another deductive proof of the algorithms for the recursive solution of the system of linear equations with a Toeplitz coefficient matrix is considered, and formulas for the specific recursive solution of the various forms of the system of linear equations in accordance with a Toeplitz coefficient matrix are given.

本文给出了具有托布里兹系数矩阵线性方程组递推解法算式的另一推导证明方法，并给出了基于托布里兹系数矩阵的各种线性方程组的具体递推解法公式。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。