The phrase "a careful application of" is correct and usable in written English.
It can be used when discussing the methodical or thoughtful use of a particular principle, technique, or concept in a specific context.
Example: "In scientific research, a careful application of the scientific method is essential for obtaining reliable results."
Alternatives: "a thoughtful implementation of" or "a meticulous use of".
A careful application of materials science can make radioactive waste disposal safer than current disposal methods for other toxic wastes.
But if this is to do more than just cause conflict, it will need to be based on a broad consensus and a careful application of the law.
This paper presents an efficient and accurate approach to myocardium extraction in Positron Emission Tomography (PET) images based on a careful application of soft computing techniques.
He seems to be caught between two kinds of songs even when he's playing alone; a brilliantly fast run of notes that sounds inverted or backward ends in a long ballad tone with a careful application of vibrato.
The estimates showing that the functions maintain the original bounds when transformed under the fixed-point operator are obtained through a careful application of the Faà di Bruno formula for the higher derivatives of the compositions (see (31) and (35)).
All it took was a careful application of that newfangled technology "electricity".
Nitrogen pollution can be curbed with a more careful application of fertilizers, the planting of certain grasses, trees and shrubs that can stop the chemicals getting into waterways and reducing the amount of tilling of the soil, to prevent soil erosion and runoff.
We would disagree with Mr Duncan Smith, came the reply: the European Commission is convinced that a systematic and careful application of the habitual residence test is a powerful tool to prevent benefit tourism.Well hang on, I said to the DWP, in Brussels the commission is saying that the habitual residence test is enough to stop benefit tourism.
The required energy consumption for a comminution operation appears to be significantly reduced by careful application of an ultrasonic field in the grinding zone.
Indeed, acceptance of the opt-out approach appears to have come about more as a historical accident than through the careful application of First Amendment principles.
First of all, in a setting where sentences are context dependent, the natural formulation of a truth claim is always in terms of expressing a true proposition, or some related semantically careful application of the truth predicate.
