Accuracy: Random and Systematic Errors

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]

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.

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.

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 /

Accuracy: Random and Systematic Errors

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