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小木虫论坛-学术科研互动平台» 学术交流区» 论文翻译 » 论文翻译求助完结子版 » 一个偏于数学上的翻译，请求指正
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yearover

银虫 (正式写手)

[求助] 一个偏于数学上的翻译，请求指正

a.        The PWE method converges to the true value downward with the increasing of the numbers of plane waves. One hundred plane waves are needed to guarantee the relative error less than 1.0%.
   PWE方法随着the numbers of plane waves的增加，向下收敛接近到精确解。100个plane waves可以保证相对误差小于1%。

b.        Results show that a very low convergence happens with the large n due to the well-known Gibbs oscillations at the interfaces while the computational time is increasing quickly. The reason is that the order of matrix in Eq. (11) is 4n+2, which leads to a large amount of matrix operation with a growth of power series manner.

当n值很大时，收敛速度变慢，其原因是Gibbs oscillations at the interfaces ；同时需要大量的计算时间。原因是方程11中的矩阵的阶数为4n+1，因此，随着n的增大，矩阵计算过程（步骤）呈幂级数级增长。

如有不足之处请指教，谢谢
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1楼2012-05-29 12:14:46
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yearover

银虫 (正式写手)
yearover: 回帖置顶 2012-05-29 23:01:07
yearover: 取消置顶 2012-05-29 23:01:40
yearover: 回帖置顶 2012-05-29 23:02:00
非常不好意思，我根据中文写成了英文，这里请各位看看写的英文是否有需要修改的地方。

a.        The PWE method converges to the true value downward with the increasing of the numbers of plane waves. One hundred plane waves are needed to guarantee the relative error less than 1.0%.
   

b.        Results show that a very low convergence happens with the large n due to the well-known Gibbs oscillations at the interfaces while the computational time is increasing quickly. The reason is that the order of matrix in Eq. (11) is 4n+2, which leads to a large amount of matrix operation with a growth of power series manner.
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6楼2012-05-29 23:00:11
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普通回帖

jiujian1984

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爱与雨下: , 不要随便点“确定回帖应助”，谢谢合作！ 2012-05-29 19:36:44
呵呵，我真的很想帮你！因为我向来很支持学者的！！能帮的我一定义不容辞！可是我偏偏数学很差！问问别人吧
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人总要有新的开始！
2楼2012-05-29 12:43:54
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8814402

至尊木虫 (职业作家)

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★ ★ ★ ★ ★ ★
爱与雨下: 金币+1 2012-05-29 19:36:53
yearover: 金币+5, 翻译EPI+1, ★有帮助, 谢谢，不过我把表达的意思说错了，应该是按照中文写的英文，请看英文写法是否正确。 2012-05-29 22:54:19
a.        The PWE method converges to the true value downward with the increasing of the numbers of plane waves. One hundred plane waves are needed to guarantee the relative error less than 1.0%.
  随着平面波数量的增加， PWE方法向下收敛接近到精确解。为保证相对误差小于1%，需要100个平面波。

b.        Results show that a very low convergence happens with the large n due to the well-known Gibbs oscillations at the interfaces while the computational time is increasing quickly. The reason is that the order of matrix in Eq. (11) is 4n+2, which leads to a large amount of matrix operation with a growth of power series manner.

结果显示，当n值很大时，收敛速度变慢，其原因是众所周知的界面Gibbs振动，而同时需要的计算时间快速增加。原因是方程11中的矩阵的阶数为4n+1，造成大量的矩阵计算过程（步骤）呈幂级数增长。
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3楼2012-05-29 17:41:11
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aixiaoxi123

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★ ★ ★ ★ ★
yearover: 金币+5, ★有帮助, 谢谢，不过我把表达的意思说错了，应该是按照中文写的英文，请看英文写法是否正确。 2012-05-29 22:54:34
b  结果显示，当n值很大时，收敛速度变慢，这归因于随着计算时间的快速增长而产生的界面Gibbs振动
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4楼2012-05-29 21:16:15
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yearover

银虫 (正式写手)
yearover: 回帖置顶 2012-05-29 22:55:58
yearover: 取消置顶 2012-05-29 23:02:18
我把意思表达错了，应该是根据中文翻译成英文，请大家看看英文的表达是否有问题。

a.        The PWE method converges to the true value downward with the increasing of the numbers of plane waves. One hundred plane waves are needed to guarantee the relative error less than 1.0%.
   PWE方法随着the numbers of plane waves的增加，向下收敛接近到精确解。100个plane waves可以保证相对误差小于1%。

b.        Results show that a very low convergence happens with the large n due to the well-known Gibbs oscillations at the interfaces while the computational time is increasing quickly. The reason is that the order of matrix in Eq. (11) is 4n+2, which leads to a large amount of matrix operation with a growth of power series manner.
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5楼2012-05-29 22:55:47
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8814402

至尊木虫 (职业作家)

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当初觉得有点不爽，但你发的原文，没敢怀疑
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7楼2012-05-29 23:13:37
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8814402

至尊木虫 (职业作家)

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应该说大体不错，但必须修稿
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8楼2012-05-29 23:14:01
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aixiaoxi123

铁虫 (初入文坛)

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yearover: 金币+20, ★★★★★最佳答案 2012-06-01 11:32:37
a. The PWE method converges downward to the exact solution as the number of plane waves increases .When the the number of plane waves reaches 100,the relative error can be keept less than 1.0%.
b. Results show that when the value of n is very large,the speed of convergence will be low due to the well-known Gibbs oscillations at the interfaces and at the same time,there needs a mount of time to caculate because the order of matrix of Eq. (11) is 4n+2,that is to say when n increases,the matrix caculation processes will increase by power series.
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9楼2012-05-31 21:44:18
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Mr-Wang

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你还是要好好地修改一下吧
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10楼2012-05-31 21:49:30
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