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Given the approved point | LaTeX Math Inline |
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| body | --uriencoded--X_%7Bj \in (1..N)%7D |
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, the next approved point | LaTeX Math Inline |
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| body | --uriencoded--X_%7Bj+k%7D%7C_%7Bk = 1,2,3, ...%7D |
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is going to be when | LaTeX Math Inline |
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| body | --uriencoded--\displaystyle X_%7Bj+k%7D-X_j > \frac%7B1%7D%7B10%5e%7Bn+1%7D%7D |
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holds true, where:
| total number of source data points |
| number of points per logarithmic cycle |
Suppose
is the number of data points, is the number of points per logarithmic cycle, and | LaTeX Math Inline |
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| body | --uriencoded--X_%7Bj%7D |
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is the -th data point, . If inequality | LaTeX Math Inline |
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| body | --uriencoded--X_%7Bj+k%7D-X_j<\displaystyle \frac%7B1%7D%7B10%5e%7Bn+1%7D%7D |
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, where , is valid, then points | LaTeX Math Inline |
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| body | --uriencoded--X_%7Bj+k%7D |
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are removed....
where
| LaTeX Math Inline |
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| body | --uriencoded--\Delta \%5e%7BP_1%7D = P_j - P_%7Bm%7D |
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, | LaTeX Math Inline |
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| body | --uriencoded--\Delta \%5e%7BP_2%7D = P_%7Bn%7D - P_j |
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, | LaTeX Math Inline |
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| body | --uriencoded--\Delta \%5e%7BX_1%7D = X_j - X_%7Bm%7D |
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, | LaTeX Math Inline |
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| body | --uriencoded--\Delta \%5e%7BX_2%7D = X_%7Bn%7D - X_%7Bj%7D |
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. In practice, it is recommended to choose L between 0 and 0.5.
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 Image Removed
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| Fig. 1 – Calculation scheme for logarithmic derivative subject to L-spacing. |
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