线性

The paper presents a linear transient solution for the solitary wave generated by a piston-type paddle in a finite flume based on the boundary condition derived by Dean and Dalrymple (1991). The wavemaker problem is simplified by decomposing the wave potential into two parts. One is the evanescent wave and the other is progressive wave. The possible solution for the evanescent wave is expressed in form of the Fourier series.

本文根据Dean与Dalrymple（1991）描述造波水槽内部之线性边界条件，将水槽内部之流速势分为振荡波与前进波以简化问题，再以Fourier级数展开，可将问题化为二非齐次常微分方程式，在给定造波初始条件的情况下即可解析有限长度造波水槽自静止开始造波一段时间后停止之线性暂态解。

The motion of a type of nonlinear damped oscillation is analyzed to resort the method of numerical analysis, and compared it with the motion of the linear damped oscillation.

摘要用数值分析方法分析一类非线性阻尼振动问题，与线性阻尼振动进行比较，得到非线性阻尼振动状态每次过θ=0位置的时刻稍后于线性阻尼振动状态。

The motion of a type of nonlinear damped oscillation is analyzed to resort the method of numerical analysis,and compared it with the motion of the linear damped oscillation.

用数值分析方法分析一类非线性阻尼振动问题，与线性阻尼振动进行比较，得到非线性阻尼振动状态每次过θ=0位置的时刻稍后于线性阻尼振动状态。

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。

The linerarized step contains solving differential equation, defining feedback control and new coordinate.

其精确线性化步骤含：求解微分方程、定义反馈控制及反馈线性化后的新坐标。

In chapterⅡ, Firstly, we research the derivable mappings at unit and the anti-derivable mappings at zero point on Von Neumann algebra M.

证明了在单位可导和在单位反可导的范数连续的线性映射是M上的内导子，在零点反可导的范数连续的线性映射是M上的广义内导子。

The property of the algorithms on linear problems is studied and the Broyden's methods have been proved that they are not descant. More precisely, the distances between the sequences obtained by solving the linear problems and the solutions of the linear problems do not decrease under any vector norm.

笔者研究了将该方法用于求解线性方程组时的内在性质，否定了一个自然的推测，指出它在解线性方程组时不是一个下降的算法，即所得到的点列与方程组的解之间的距离在任何向量范数意义下都不具有单调下降性。

The paper discussed the detectability of status fault of linear systems based on the construction of control systems, put forward and proved the conclusion that status fault of observable linear system can be detected.

从控制系统的结构出发，对线性系统状态故障的可检测性进行了讨论，提出并证明了线性能观系统的状态故障是可检测的结

A large number of diagnostic experiments have been done using the special diagnostic program written by the author including several special-purpose simulation experiments for tolerance effects, and the tests of two practical circuits.

另一种方法适合于模块级故障诊断，避开了将非线性部分线性化的工作，除对无故障时的非线性电路要进行一次电路分析外，诊断过程可完全按线性电路进行，计算量小。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。