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We derive the addition formulas for sine and cosine from the arithmetic of complex numbers.

用复数算术推导了正弦，余弦的加法公式。

We derive the addition formulas for sine and co sine from the arithmetic of complex numbers.

用复数算术推导了正弦，余弦的加法公式。

The second is derive alimentation from the contemporary singing and dancing show in the background of Chu culture and civilian singing and dancing in the Chu area popular up to the present, andcombine the ancient and now, tradition and modern.

二是从楚文化背景下当代歌舞表演和荆楚地区至今流行的民间歌舞中汲取营养，从而做到古与今、传统与现代的结合。

It also shows the method and feasibility to derive forest parameters, such as tree height, and the crown length of individual trees from airborne laser scanning altimetry data in this dissertation.

本文详细研究了距离图像的处理方法，讨论了各种边缘提取算子在处理距离图像中的应用，并对距离图像进行中值滤波和增强处理，取得了较为满意的效果。

The second topic is attempt to to derive Angstrom coefficient of aerosol from remote sensing data and in situ water components' concentrations.

专题2是利用遥感数据和实测的水体组份数据求解气溶胶Angstrom系数的尝试。

The Von Mises angular function is used to describe the angular correlation for the distributed source and derive a novel distributed source model from the quantitative angular correlation.

利用阵列接收信号协方差阵的特征值分析了源内角度相关程度对有效信号子空间的影响。

Thus from consideration of an ideal or universal Anselm believed that he could derive truth about what actually exists.

因此，从考虑一个理想的或普遍的安瑟伦认为，他可以从中真相究竟存在。

We hold these truths to be selfevident, that all men are created equal and independent; that from that equal creation they derive in rights inherent and inalienables, among which are the preservation of life, and liberty and the pursuit of happiness; that to secure these ends, governments are instituted among men, deriving their just powers from the consent of the governed; that whenever any form of government shall become destructive of these ends, it is the right of the people to alter or to abolish it, and to institute new government, laying its foundation on such principles and organizing it's powers in such form, as to them shall seem most likely to effect their safety and happiness.

人类千万年的历史，最为珍贵的不是令人炫目的科技，不是浩瀚的大师们的经典著作，不是政客们天花乱坠的演讲，而是实现了对统治者的驯服，实现了把他们关在笼子里的梦想。因为只有驯服了他们，把他们关起来，才不会害人。我现在就是站在笼子里向你们讲话。邱义仁，马永成被羁押，预示着陈水扁坐牢进入了最后的倒计时，台湾的民主和司法让我们感受到了台湾人引以为豪的所在。尽管台湾如此混乱，但是一个政权平稳过渡了，一个前领导人走向了腐败的坟墓。。。这是民主的力量，是中华人民共和国缺少的东西。

We hold these truths to be selfevident, that all men are created equal and independent; that from that equal creation they derive in rights inherent and inalienables, among which are the preservation of life, and liberty and the pursuit of happiness; that to secure these ends, governments are instituted among men, deriving their just powers from the consent of the governed; that whenever any form of government shall become destructive of these ends, it is the right of the people to alter or to abolish it, and to institute new government, laying its foundation on such principles and organizing it's powers in such form, as to them shall seem most likely to effect their safety and happiness.

第四，1776年，潘恩的《常识》在北美发表。在这本不到50页的小册子中，潘恩以简练而生动的语言准确地回答了北美殖民地人民所关心的问题，并从一个全新的角度指出了北美殖民地独立的必要性。潘恩呼吁，殖民地人民必须与英国一刀两断，建立自己的共和国。

We hold these truths to be selfevident, that all men are created equal and independent; that from that equal creation they derive in rights inherent and inalienables, among which are the preservation of life, and liberty and the pursuit of happiness; that to secure these ends, governments are instituted among men, deriving their just powers from the consent of the governed; that whenever any form of government shall become destructive of these ends, it is the right of the people to alter or to abolish it, and to institute new government, laying its foundation on such principles and organizing it's powers in such form, as to them shall seem most likely to effect their safety and happiness.

我们天天在说发展经济，建设富强国家。然而这一切的目标最终是什么呢？是让老百姓过上好日子。然而什么是&好日子&？它的内涵有什么？没有人说得清：楼上楼下，电灯电话；吃香的喝辣的；相对优越感；或是受到他人的尊重？

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。