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Your own polytank, regularly filled by private vendors, is indispensable because you can't count on it always flowing from the tap.
The consideration of this effect in design is indispensable, because otherwise an unsafe design is obtained.
Note that (1.1) is indispensable because we envisage examples in which K : X × X → [ 0, ∞ ] has singularity at the diagonal.
The presence of an efficient electrocatalyst as a cocatalyst is indispensable because each photon in visible light possesses a limited overpotential for water splitting.
After the concept development phase, subsequent editing of the 3D data reconstructed from a free-hand 2D sketch with a 3D mechanical CAD system in the detail design phase is indispensable because inaccurate dimensions are inherent in a free-hand 2D sketch.
To echo Hannah Arendt (but on education rather than politics), courage is indispensable, because in education, not life, but the world is at stake.
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According to one account, Acheson once said that Mr. Battle was indispensable because he had "nerves of steel, a sense of purpose and a Southern accent".
This operation was indispensable because that BDAC solution, while in high concentration (0.1 M), subjects to high viscosity upon adding salt solution and thus inhibits the separation of NRs.
For example, in obesity studies, genetically modified models (such as the ob/ob leptin-deficient mouse) and germ-free mouse models are indispensable because they allow interventions that cannot be performed in humans to provide evidence of how gut bacteria influences host metabolism (Bäckhed et al., 2007).
In many phylogenetic analyses, historical DNA has been indispensable because it provides samples of taxa that are difficult or impossible for a researcher to obtain otherwise, such as historical samples of extinct species or species occurring in diverse areas of the world (e.g., Tepe et al., 2011).
In our study, the semen samples of successful vasectomy are indispensable, because these samples do not contain DNA originating from testis and epididymis owing to the ligation of vas deferens, which makes it possible to screen the testis or epididymis-specific methylated promoters.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com