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For instance, the Arabidopsis metabolic networks includes genes involved in major energetic and carbon flux pathways that are essential for each cells survival, such as photosynthesis, the calvin cycle, and the TCA cycle (AraCyc; www.arabidopsis.org/biocyc/index.jsp).jsp
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Physical Protection System (PPS) is essential for each nuclear power plant to safeguard its nuclear materials and nuclear facilities from theft, robbery, illegal transport and sabotage.
Since every cell in the human body has the same set of DNA instructions, it is essential for each type of cell to activate only the genes needed for its own agenda and to ignore the rest.
Hence w is essential for each w ∈ G. □.
Thus, by Remark 3.1(1), q is essential for each q ∈ G. □.
The ethno-national community is essential for each of its members to flourish.
Most of these works achieved high detection accuracies; of course a learning phase was essential for each case.
Theorem 3.3 (i) There exists a dense residual subset G of ℳ such that q is essential for each q ∈ G. (ii) For any q ∈ M, there exists at least one minimal essential subset of F ( q ).
"I adopted the Collins rule of thumb for the development of leadership: that it is essential for each portfolio company to get the right people in the right seats on the bus to drive to the right destination," he says.
Theorem 3.3 There exists a dense residual subset G of ℳ such that q is essential for each q ∈ G. Proof Since the metric space ( M, ρ ) is complete (by Theorem 3.1), and the mapping Λ : M ⇉ X × Y is upper semicontinuous with compact values (by Theorem 3.2), by Lemma 3.2, Λ is lower semicontinuous on a dense residual subset G of ℳ.
"Everybody has different software," McLean said, "but it is essential for each individual to live in their own integrity".
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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