简化

When, the Taylor's formula with Lagrange Remainder term of order simplifies the Maclaurin's Formula with Lagrange Remainder term of order, which is in form of following

当时，带有拉格朗日型余项的阶泰勒公式简化为带有拉格朗日余项型的阶麦克劳林公式，形式如下

First, we introduce a Lagrangian L for the low-dimension electronic system.

为此，我们发展了一种坐标变换的方法来简化这些边界条件。

Volterra kernel functions were expanded on an orthogonal discrete Laguerre function set to produce a reduced system model with fewer parameters.

讨论了Volterra核的Laguerre展开法，通过将Volterra核函数在一个正交的Laguerre函数集上展开，得到一个简化的系统模型，使得待辨识的参数显著减少。

This thesis mainly discuss following issues, Theory and simple expressions for array covariance matrixes are derived when angular spread functions are symmetric distribution functions, i. e. the Uniform distribution, the Gauss distribution, the Laplace distribution and the Von Mises distribution, and a non-symmetric distribution function, i. e. the Gamma distribution. And the relation between the effective signal subspace and the array number, or and the nominal angle of the distributed source, the angular spread, the distributed functions, and the Signal-to-Noise Ratio is gained. The dimension of the effective signal subspace increases with increment of the array number. And it is more obvious to the non-symmetric distribution. The dimension of the effective signal subspace decreases with increment of the nominal angle. And the distributed source is equal to a point source as θ=π/2. The dimension of the effective signal subspace increases with increment of the angular spread.

本论文针对阵列信号处理中广泛存在的分布源现象，主要讨论了以下问题：推导了角度分布函数分别为对称的均匀分布、高斯分布、拉普拉斯分布、Von Mises分布和非对称的伽马分布时，分布源阵列接收信号协方差阵的严格模型和简化模型，得到了单个分布源的有效信号子空间随阵元数、分布源中心角、分布角、角度分布函数和信噪比的变化规律：随着阵元数的增加，对所有角度分布函数的有效信号子空间维数也随着增加，且非对称分布函数的有效信号子空间充满整个空间的可能性更大；随着分布源中心角逐步增加，有效信号子空间维数逐步减小，当θ=π/2时，等价于点源情形；随着分布源分布角逐渐加大，有效信号子空间维数也随之增加，直到有效信号子空间充满整个空间；随着信噪比的增加，有效信号子空间维数有一定程度的减少。

The satisfaction of Laplace equation of the velocity potential reduces the coefficients to only two unknown functions.

根据速度势满足拉普拉斯方程就可将这些系数简化到只有两个未知函数。

With a brand new measuring method from LAR, easy operation and calibration are also considered.

采用LAR专利的新的测量方法，可轻松实现操作和校准的简化。

In this paper, efficient simplification and interaction techniques of large model are discussed.

本文对三维复杂模型的快速简化及交互技术进行了研究。

To integrate the process of lathing and welding thin wall cylinder parts,a flexible assembled fixture was designed.

为了满足薄壁筒体零件车焊一体化复合加工的需要，设计了一种柔性组合夹具，达到了将车削加工工艺和焊接加工工艺同时在同一个专用设备上完成的目的，简化了制造工序，提高了焊接质量。

Considering the characteristics of lathing machining, the author construct the collision cell, such as the tool body or clamp body, and simplify the arithmetic of checking collision. It could efficiently improve the speed of soft running.

同时结合数控车削的加工特点，构造刀具体、夹具体等碰撞单元，并采用适当的简化算法，用于提高检测的速度，还以友好的方式将检测的结果反馈给用户。3。

In combination with the crushed rock slope as an example, the allocation of an anchorage force on longitudinal beams and transverse beams is calculated by adopting the distribution coefficient law of the nodal form at first. Then the internal forces of the lattice beam are calculated respectively through the software on the basis of Winkler elastic foundation model and the semi-infinite foundation model, and then compared with the internal forces which are based on simplified foundation pressure calculation. The active pressure of rock is calculated approximately by Ranking soil pressure theory in the working stage. Sequentially, the reinforcing bars are disposed by two-stage's averagely calculated values.

以破碎岩质边坡为例，采用节点荷载分配法计算了锚索锚固力在格构梁纵、横梁之间的分配比率，然后基于Winkler弹性地基模型和弹性半空间地基模型分别计算格构梁在张拉阶段的内力，并与采用简化的地基反力计算值对比；采用朗肯土压力理论近似计算在工作阶段主动岩体压力，将地梁视为在线性分布力作用下倒置于坡面上的连续梁，按力矩分配法计算地梁内力，取两阶段计算平均值进行配筋。

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％。