简化

Tridiagonal block matrix elemination and sweep algorithm is successfully applied to solve the large matrix involved; central difference method is supplemented to Houbolt method to form a time integration method with estimation and correction, to solve the time integration of second order implicit non-linear equation; simplification of system equation by decoupling between the physical coordinates x and y further improves the calculation accuracy and speed.

其中：成功地引入块三对角矩阵追赶法求解上述问题构成的大型矩阵；提出中心差分法+Houbolt法的预估计—校正时间积分法，以解决二阶隐式非线性方程的时间积分问题；系统方程在物理坐标x和y上的"解耦"简化，使计算速度和计算精度得以进一步的提高。

Thus, in 1935 SIG designers simplified both weapons by using simple blowback action with one-piece bolt.

因此， 1935年康简化了使用单件螺栓简单的反作用不管是武器设计者。

So I was just kind of boiling all that stuff down in my own way.

所以我只不过是把这些素材以我自己的方式加以简化而已。

In this paper,based on the fully consideration of the physical characteristics of wind and snow,a three-dimensional wind field is constructed by discretizing the classic Boltzmann equation.

在充分考虑风雪具体物理特性的基础上，通过对经典Boltzmann 方程进行离散来构造三维风场，并根据风雪的交互作用规律，建立起雪的飘动、沉积、侵蚀等变化规则，进一步采用一系列简化和加速绘制的方法，具有真实感地实时绘制出不同风速下不同降雪量的风雪场景。

Finally,we introducethe closure operations defined by Bondy[9]and Hanson[24]into the investigation ofthe hamiltonicity of 3-domination-critical graphs and shorten the proof of Wojcicka'sconjecture successfully.

最后，我们将Bondy[9]，Hanson[24]等人定义的闭包运算引入到3-控制临界图的哈密尔顿性质研究当中，成功地简化了Wojcicka猜想的证明，研究了3-控制临界图的哈密尔顿连通性。

We have simplified the algorithm of 3D Boolean Operation a lot, and improved the stability mentioned above.

使得三维布尔运算的算法大大简化，稳定性也得到了提高。

On the basis of water balance model, a simplified analytic model of border irrigation is set up with the help of upper storage water coefficient.

根据水量平衡原理，通过引入地表储水形状系数和提出的公式所计算出的下渗水形状系数，建立了基于水量平衡原理的畦灌水流推进简化解析模型。

This study uses the soil parameter reduction coefficients to model the seismic pile responses affected by liquefied soils. One dimensional wave equation analyses were conducted for the solutions. Based on the bore-hole data and nearby seismic record, the soil parameter reduction coefficients of liquefied layers can be obtained through a pre-analysis for liquefaction potential of the site. The reduction coefficients were used to reduce the soil modulus for liquefied soils, and the lumped mass analysis is performed to obtain the free-field response of the site. The ground deformations are superimposed onto the pile elements for discrete wave equation analysis, and the non-linear pile responses can be simulated through the modified Bouc-Wen model. Thus the deformations and failure mechanism of the pile are able to investigate.

中文摘要本研究之土质参数折减系数模式，系以一维波动方程模拟地盘液化状态下之桩基础动力反应，依据现场土层钻探资料与邻近测站之地震纪录，由土壤液化潜能评估法配合日本相关规范求得液化土层之土质参数折减系数，以此系数对土壤强度模数进行折减，并使用集中质块法求取自由场之地盘液化反应，再以此为前置解作用於桩基础之波动方程求解，桩身刚度以简化之Bouc-Wen模式模拟其非线性行为，以了解液化地盘内基桩之变形行为与破坏机制。

Born approximation and convolution principle were applied to the simplified model.

我们使用了Born approximation的条件与折积理论来建立此简化模型。

The new method is valid and high precision through the comparison with the boundary collocation method and the traditional method.

通过实例计算，将其结果与边界元配置法及工程简化方法相比较，证明了该方法是实用的，并能保证计算结果的精度。

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％。