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Accuracy of Numerical Results Random and Systematic Errors October 2010
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Introduction ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
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Random Errors - I  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Random Errors - II ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],->  Value Probability density -> Mean A typical  Gaussian distribution  indicating the probability  of occurrence for a given value.  μ   indicates the mean  value, while  σ   denotes the standard deviation. For an  ideal Gaussian, 68.2% of the values would lie between  1 σ  of the mean value , 95.4% between 2 σ , and 99.7%  between 3 σ , as indicated in the above figure.
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Systematic Errors - I ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Systematic Errors - II ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Systematic errors  lead to a difference in the  actual  and  measured  values. In this simple example, the error can be characterized in terms of a difference in the  offset  (values  at zero) and  slope  of the two lines.
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Propagation of Errors ,[object Object],[object Object],[object Object],[object Object],[object Object]
About  Crimson ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],英文编辑 · 英文校对 http:// www.enago.cn / 英文編修‧論文修改 http:// www.enago.tw / 英語テープ起こしボックスブ http:// www.voxtab.jp / 日英・英日翻訳ユレイタス http:// www.ulatus.jp / 英文校正エナゴ http:// www.enago.jp / English Transcription Services http:// www.voxtab.com / English Translation Services http:// www.ulatus.com / English Editing Services http:// www.enago.com /

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Accuracy: Random and Systematic Errors

  • 1. Accuracy of Numerical Results Random and Systematic Errors October 2010
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