The phrase "and thus the function" is correct and usable in written English.
It can be used to indicate a conclusion or result that follows logically from the preceding statements, often in a mathematical or technical context.
Example: "The variables were adjusted accordingly, and thus the function produced the expected results."
Alternatives: "and therefore the function" or "and so the function".
"In America, national identity is more political than genetic, and thus the function of civil religion, which gives the country that identity, is extremely important".
In (1.4) and for every and ; thus the function defined in (4.20) satisfies (4.28).
It follows from (3.3) that L ( z, t ) = ϕ 1 ( z, t ) f ( e s t / z ) = a 1 ( t ) z + a 2 ( t ) z 2 + ⋯. and thus the function L ( z, t ) is analytic in U r 1.
(c) In any case, (varDelta ^{mathfrak {q}}_+ subseteq varDelta ^{A}_+) and thus the function begin{aligned} n longmapsto wp _n := vert {beta in varDelta ^{mathfrak {q}}_+, vert beta vert = n } vert,quad n in mathbb {N}, end{aligned} has polynomial growth.
However, this result suggests the possibility that epsin function in Notch signaling is generally clathrin-independent, and thus the function of auxilin in signaling cells might be other than its characterized role in clathrin dynamics.
Functions can be shared across processes /categories, and thus the function of "Binding of hormone/progesterone" is shared across four processes ("Drug Metabolism", "Endocrine System Development and Function", "Lipid Metabolism", and "Small Molecule Biochemistry"; see Table 3).
Background activity is removed from cross-covariance functions, and thus the functions reflect the actual functional influences of one neuron on another without the confounding factor of background coincident spiking.
Dr. Eric Kandel and other researchers have shown how experiences and social interactions modify the very expression of genes and thus the functioning of nerve cells.
In this context, any bias in the human perception of nature, and therefore in the willingness to conserve biological diversity, could have profound consequences for conservation and thus the functioning of endangered ecosystems.
Transformation of coding regions into non expressed (non-transcribed/non-translated) pseudogenes and allowing selfish DNA proliferation (i.e. replacing deleted DNA) might help stabilize the nuclear/cellular volume and thus, the functioning of cellular circuits and pathways.
At a very practical level, research culture is a force shaping collaborative behaviour and thus the functioning of a centre [ 9, 22, 28].
