The phrase "argument to extend" is correct and usable in written English.
It can be used in contexts where you are discussing a rationale or reasoning for prolonging or expanding something, such as a deadline, project, or discussion.
Example: "The committee presented a compelling argument to extend the deadline for the project to ensure all aspects were thoroughly addressed."
Alternatives: "case for prolonging" or "justification for extending".
He also said he thought the research added weight to the argument to extend NHS services through the weekend.
Next we use a density argument to extend the result for (phiin L^{2}(Omega times L^{2}(Omega)).
holds for some positive constant η > 0 which is chosen sufficiently small, and then to use the continuation argument to extend the local solution step by step to a global one.
Once this step is taken, the efficiency of a BBN means there is a compelling argument to extend it to incorporate all strands of evidence, thus maximizing diagnostic power for supporting decision preparedness.
Thus to use the continuation argument to extend the local solution step by step to a global one, a key step is how to design a class of initial perturbation, which is large in the H2-norm, so that the scheme can be continued.
In [341], Kato showed how to modify Chernoff's argument to extend Theorem 8.6 to replace the condition that (-Delta +V) is bounded from below by the condition that for some (c>0), one has that (-Delta +V+cx^2) is bounded from below (and thereby gets a Wienholtz Ikebe Kato type of result).
Roth, usually fond of both sides of an argument, fails to extend understanding toward -- and only makes fun of -- the possible discomfort of minorities or women in settings like Athena, where prejudice may be trickily institutional and atmospheric, causing events like the "spooks" utterance to be seized hold of and overinterpreted.
The animal welfare and animal rights movement argued for an extension of moral standing to at least some animals, and arguments followed to extend moral standing to plants and then to such ecological wholes as ecosystems, wilderness areas, species, and populations.
An intuitive, ad hoc way of dealing with an unbounded random variable is to approximate it by a sequence of bounded ones, and to use limit arguments in order to extend notions defined in the context of the bounded random variables to their unbounded counterparts, in the hope that the eventual result will not depend on the exact form of the approximation.
In doing so, he may strengthen the argument of those campaigning to extend the franchise for UK general elections.
A multi-level scaling argument was then invoked to extend these single-cell results to multi-cellular organisms.
