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Together with advanced experimental designs and data analysis, the development of long-lasting, non-fluctuating fluorophores is therefore proving key to progress in the field.
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Theorem is therefore proved.
Polythiourea 9 is, therefore, proved to be an amorphous ferroelectric.
Combined with the result in (d) of Proposition 1, Theorem 1 is therefore proved.
The performance of the proposed algorithm is therefore proven to be better than those of previous studies.
The validity of Timoshenko beam theory below fc and that only one spectrum appears in this regime is therefore proved.
The concept of the coronal heating is therefore proven, while many details still have to be improved before getting a perfect match between observations and model.
The analytical model is therefore proven to be suitable for a full characterisation and design optimisation; reducing the computation time from a few hours to a few minutes when using MATLAB rather than FEA software.
A model for dealing with multi-stage recourse problems, in which this "decide-observe-decide" pattern is repeated more than once, is therefore proven to be an effective mathematical tool to determine option purchases in electricity markets.
Since the set is bounded, the duality map is norm-to-norm uniformly continuous on bounded sets of (Lemma 2.2), and strongly converges to By letting in (3.17), thus (3.11) is therefore proved.
The hypothesis is therefore proven correct and the discretization process is deemed able to improve the authorship invarianceness with the standard representation of the individual's unique features presented clearly to help identify the writer between a pair of twins.
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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