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In this part of study, it is given to a useful error estimation procedure for orthogonal Jacobi polynomial solution of the problem.
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In Section 1 we introduce the univariate polynomial interpolation problem, for which we give two useful error formulas.
Finally, two useful error measures are proposed to evaluate the overall performance of various estimators [41, 47, 51, 52]: The integrated error ε 1 = E ∣ f X x - f ̂ X x ∣ The root of the mean-squared error ε 2 = E ∣ f X x - f ̂ X x ∣ 2. The integrated error ε 1 = E ∣ f X x - f ̂ X x ∣.
Other useful error rate controls include conditional FDR (cFDR) [ 1], positive FDR (pFDR) [ 2] and local FDR (lFDR) [ 3] which have similar interpretations as that of FDR.
A log file is created along with each output file, which records the processing of the data and provides useful error information (see online supplementary appendix 1 for log file of output 1).
Campaigners may see themselves as enlightened crusaders, so when their assertions are questioned or contradicted by the data, this is viewed not as a useful correction of error but rather an attack on their identity and narrative.
The following lemma gives us a useful formula for the truncation error.
The Mean Square Error (MSE) is a useful measure of the total error, as it combines sampling errors with the square of the bias.
The derived formula provides a useful indicator for truncation error distribution which yields guidelines for grid adaption.
The overarching question emerging from this exercise is whether political claims-making as reported in newspapers is a useful method once coding errors have been corrected.
Deviation from Hardy-Weinberg Equilibrium (HWE) can be a useful tool to indicate errors in genotyping or population stratification [22].
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com