The phrase "adapts the argument" is correct and usable in written English.
It can be used when discussing how someone modifies or adjusts an argument to fit a particular context or audience.
Example: "In her essay, she adapts the argument to address the concerns of her readers more effectively."
Alternatives: "modifies the argument" or "tailors the argument".
The next lemma estimates the distance between v δ and We adapt the argument of Crisan and Xiong (Crisan and Xiong 2014) to the current setup.
Adapting the arguments of the proof of Theorem 1.3 in [21], we show.
In what follows, we adapt the arguments in [2] with slight modifications.
Then we can easily prove the time continuity of the solution ((rho, u, h, k, varepsilon)) by adapting the arguments in [9, 13].
We can now adapt the arguments in Corollary 4.7 to first show: Any automorphism-coinvariant module over a commutative local perfect ring is quasi-projective.
This expectation does not depend on the chosen direction, and to adapt the arguments in the proof of Theorem A we can use the group-theoretical interpretation of (Delta_{mathbb {S}^{2}}) as the Casimir operator associated to the action of (mathit{SO}(3)) on (mathbb{S}^{2}) (see [43], Sect. 5.7.7).
We here give the whole proof of Theorem 16 in the case of an energy solution u ∈ W 1, p ; the case of a general SOLA can be treated adapting the arguments valid for the energy case along the lines described in Sect.
Now, they want to adapt that argument to the independence campaign.
When searching an optimal control result for the case (gamma=1) we cannot adapt the same arguments used for the more general case (gamma <1).
Phillips et al. (1992) adapted the scaling arguments of Leighton and Acrivos (1987a, b) and proposed a diffusive flux equation to describe the time evolution of the particle concentration based on a two-body interaction model.
