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Based on Brune ω~2 source spectrum ,Hanks and McGuire deduced a simplified formula of RMS accelera- tion by stationary random vibration theory and Parseval theorem.

Hanks 和 McGuire 基于 Brune 的ω~2震源谱，借助平稳随机振动理论和 Parseval 定理给出了估计均方根加速度衰减关系的表达式。

Beijing, China welcomes friends from all over the world by the Chinese brush style simplified Chinese characters, unique design.

中国北京，欢迎世界各地的朋友采用了中国毛笔字汉字简体风格，设计独特。

The comprehensive treatment project of Tong Ken landslide consists of whittling slope、anti-landslide pile with anchoring cable、retaining wall、building ground drainages leveling off and calking slope、vegetation protection etc. After managing, under the action of earthquake load and watery the stability coefficient of landslide is up to 1.10.Then, this text researches the structural optimization design of anti-slide pile with anchoring cable. On the condition that the width of section is invariable, the height of section is confirmed by structural optimization method. This will change traditional method to optimize the height of section so that design is simplified and cost is lower.

最终选用的的综合治理方案是由削方、锚索抗滑桩、护坡挡墙、地表排水、整坡填缝、生物防护等多种工程措施优化组合而成，治理后，在饱水有地震荷载状态下滑坡的安全系数可达1.10论文重点是主要对锚索抗滑桩的桩身结构优化设计进行了研究，在给定抗滑桩截面宽度的条件下，运用结构优化的方法来确定抗滑桩截面高度，改变传统迭代计算方法确定桩截面尺寸，使抗滑桩截面高度取最优值，达到简(来源：ABC4a论文8d网www.abclunwen.com)化设计和降低工程造价之目的。

Einstein argued that there must be simplified explanations of nature, because God is not capricious or arbitrary.

爱因斯坦说，一定有简单的规则来解释自然，因为上帝不会是变幻莫测或者独断专行的。

Second, based on the screw theory, the'virtual joint'concept was proposed. By means of this concept, the conventional trajectory planning in Cartesian space was converted in the 'virtual joint'space, that is, the complex trajectory planning in Cartesian space was simplified by utilizing the trajectory planning in the'virtual joint'space.

第二、基于旋量理论提出了"虚拟关节"的概念，利用这一概念可以将传统的笛卡尔空间的轨迹规划转化成"虚拟关节"空间的轨迹规划，也就是说，利用简单的关节空间的轨迹规划方法实现了复杂的笛卡尔空间的轨迹规划。

In this case the power system relative to standard video card is simplified.

在这种情况下，电力系统的相对标准视频卡，是简化了。

In 1974, the first such experiment was carried out by Clauser, who reported a violation of a classical Cauchy–Schwarz inequality. In 1977, Kimble ''et al.'' demonstrated an analogous anti-bunching effect of photons interacting with a beam splitter; this approach was simplified and sources of error eliminated in the photon-anticorrelation experiment of Grangier ''et al.

尽管到了二十世纪七十年代支持光子说的物理和化学实验依据已经相当丰富，证据可能还是不能被认为绝对确凿；因为这些实验都依赖于光与物质的相互作用，而一个足够复杂的关于物质的量子力学理论则仍然有可能去解释这些实验现象。

In Chapter 3, as the first step, we consider the Cauchy problem for the simplified hydrodynamic model (1.2.2) for semiconductors in themulti-dimensional space.

在第三章中，作为研究的出发点，我们首先考虑了半导体模型中的高维简化Euler-Poisson方程组(1.2.2)的柯西问题，当初值在平衡态附近扰动时，建立了该问题经典解的整体存在性，唯一性和指数稳定性。

Therefore,the complicated problem is simplified into asolving procedure of a group of infinite dimensional algebra equations.In thefact,not only is a general solution of the problem obtained,but also a method tocompute the dynamic thermal stress distribution at the surface of the cavity afterthe definition of the coefficient of the dynamic thermal stress distribution isgiven.

事实上，不但得到了单连通区域或复连通区域型二维孔洞表面的动态热应力分布问题的一个一般的解析解，而且，在定义了非耦合和耦合无量纲化动态热应力分布系数后，推导出计算单连通区域或复连通区域型二维孔洞表面的动态热应力分布的方法。

The negative differential resistance characteristic equation of single electron transistor and metal oxide semiconductor hybrid structure SETMOS is simplified by fitting method. And a new approach is proposed for designing multi-scroll chaotic circuit with SETMOS.

利用拟合法简化了单电子晶体管与金属氧化物半导体混合结构器件——SETMOS的负微分电阻特性方程，提出了由SETMOS设计多涡卷混沌电路的方法。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。