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Compared with the original time series, the time series through pattern extraction can be manifested in a more concise form, which can effectively avoid the phenomena of "Curse of Dimensionality".
Introducing summations into (10) yields a more concise form begin{aligned} mathbf{w}_{o}[!i] =&, underset{mathbf{w}[i]}{mathrm{arg ; min}} Eleft[sum^{D-2}_{d=0}sum^{D-1}_{l=d+1 Eleft[sum^{D-2}_{d=0}sum^{D-1}_{l=d+1 Eleft[sum^{D-2}_{d=0}sum^{D-1}_{l=d+1ft.left.
Formula (6) can be represented in a more concise form (8) ρ (X, Y ) = ρ (U, V ) ξ u ξ v − z v 2 (ξ u 2 − z v 2 ) (ξ v 2 − z v 2 ), where ξ u = σ u / μ u, ξ v = σ v / μ v are the corresponding variation coefficients.
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This is a more concise figure than 95% confidence intervals.
In addition, as far as direct-spectrum is concerned, we can rewrite PSD forces in more concise form: S_{{P_{i} P_{i} }} (omega ) = (k_{i}^{2} + c_{i}^{2} omega^{2} )S_{{Z_{i} Z_{i} }} (omega ).
As a result, we deemed it appropriate to design a more concise format for our purposes.
Like American and European Modernists, he sought to rid the language of tired, worn out words and phrases to create a more concise art form.
In other cases transformations to more concise forms may be needed to bring the represented ideas stylistically closer to surface form.
This would present the retrieved information in a more concise and user-understandable form.
To create an additional strategy for comparison, we used the precision of individual terms reported by McDonald to form a more concise search strategy, removing some of the terms with low precision from the HSSS.
Nike, however, was an exception to this pattern, taking a more concise approach to its reporting in 2009.
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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