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In this paper,the methods of distance geometry are used to explore the angles of a simplex ,and the second cosine law of a simplex in another form is obtained.

运用距离几何的研究方法，研究了和单形相关的角，给出了单形第二余弦定理的另一种形式，以此为基础得出了BartO¨s体积公式一种简洁的证法；探讨了单形的几个体积公式之间的联系，并推广了单形的一个体积公式。

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。

The spinning disc of cosmic dust that collapsed 4.5 billion years ago to form our solar system would never have been.

在4.5亿年以前宇宙微尘碰撞后形成的涡流构造出的太阳系将永远不会消失。

The pinkish color indicates that these infant stars are still shrouded by the cosmic dust and gas that collapsed to form them.

该粉红颜色表明，这些新生星体仍然笼罩在由宇宙尘埃和气体，这种气体坍塌形成的。

"For their discovery of the blackbody form and anisotropy of the cosmic microwave background radiation".

大概应该翻译成：因他们发现了宇宙微波背景辐射的黑体形式和各向异性。

The wave process of sedimentary basin is a form of earth's crust movement,which is controled by both cosmogony and earth evolution.

沉积波动过程是地壳波状运动的具体表现，它是各种天文因素、地质因素共同作用的结果，沉积波动过程的时空演化控制着地层层序的时空展布特点。

And Indian democracy is a shining example of the most modern form of political cosmopolitanism.

和印度的民主是一个光辉的榜样最现代的形式的政治主义。

However, no matter liberal democratic global democracy、cosmopolitism democracy or grass-rooted democracy, every global democracy mode puts forward that we had better consider global democracy as the process of working together of states, global civil society and global market, in which every part must overcome its own limitations, manage the conflicts and fights in the cooperating coexistence in order to form a interactive relationship.

但是，无论是自由主义的全球民主、世界主义民主还是草根民主，每一种全球民主模式都提出，最好将全球民主看作一个民族免费电影片国家、全球公民社会和全球市场共同努力的过程，每一方都要克服自身存在的局限性，妥善处理合作共处中存在的冲突和斗争，以形成良性的互动关系。

In this kind of form under, spending in physical education, health and recreation events increasingly become the important behavior of the cost of living.

在这一背景下，研究我国健身娱乐业服务质量问题，探讨顾客满意度的特征，具有一定的理论价值和积极的实践意义。

And change cost variance form according to their reason divide, have price difference and quantity difference.

而变动成本差异按其形成原因划分又有价格差异和数量差异。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。