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The two concepts are very useful to derive the nonergodicity of the sequence { Y t }.
It is useful to derive the analytical expression for the difference between the left and right hand sides of (14b).
We need some definitions for the exponent which will be useful to derive the main results of the paper.
These scenarios are useful to derive the requirements (defined in Section 3) to cover in SIP payment protocol.
To understand the observed amplitudes of infrasound waves, it is useful to derive the air particle velocities from the observed f D fluctuations.
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It might be useful to derive this Kolmogorov forward equation (2) in an Appendix.
The method is proved to be accurate and useful to derive new insights regarding the behavior of the considered systems.
To that end, it is useful to derive a relationship between the changes in the number of crRNAs (Δ[ p] ≡ [ p]'-[ p]) and pre-crRNAs (Δ[ u] ≡ [ u]'-[ u]).
We also found useful to derive a model of the lithospheric field from this WDMAM candidate.
These are warranted and may be useful to derive a better understanding of the role of crofelemer in clinical practice.
The operator splitting methods are very useful to derive fast algorithms.
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CEO of Professional Science Editing for Scientists @ prosciediting.com