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The westward extension of rupture segments with about 10-m slip is indispensable for explaining the historical damage along the Pacific coastal region of Kyushu, which is similar to the findings of Furumura et al. (2011).
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Our modelling results showed that transport of fractions of seeds by ants over distances of 1 2 m was indispensable for explaining the observed population spread that led to distances of at most 8 m from population origin within 3 years.
It points out that there are at least two ways in which representations are causally relevant: (1) by being referentially opaque, they are indispensable for explaining behavior, especially in cases of misrepresentation, and (2) when their being in error is detectable by the system, the account shows that the system does treat them as representations.
The interaction between IPS-1 and IKKi/IKK ε is indispensable for IRF3 activation [ 29]; hence, this competition may explain the negative-feedback regulatory role of LGP2.
Haworth parsonage is indispensable for Brontë fans.
What one thing is indispensable for life in Dharavi?
What one thing is indispensable for life in your city?
"You know, the fish they say is indispensable for bouillabaisse".
The chemokine system is indispensable for leukocyte trafficking.
Protein kinase activity is indispensable for Cdc5 function.
Tyrosinase is indispensable for melanin synthesis.
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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