The phrase "applying the technique of" is correct and usable in written English.
You can use it when discussing the implementation or use of a specific method or approach in a particular context.
Example: "In this study, we are applying the technique of qualitative analysis to better understand the participants' experiences."
Alternatives: "utilizing the method of" or "employing the approach of".
The French are applying the technique of "ferocious silence," which has become a favorite phrase of the officialdom.
Then, the tractable problem is solved by applying the technique of the Lagrangian optimization technique and semidefinite relaxation.
To study its effects, Kotz is applying the technique of optogenetics, using mice engineered to express light-sensitive ion channels in orexin-producing neurons.
The data relating to each character were analyzed by applying the technique of 'analysis of variance' for randomized block design as described by Cochran and Cox (1957).
Approximate results of many complex queueing models have been developed by several authors by applying the technique of maximum entropy principle.
The viscoelastic two-phase model was derived in a former work by applying the technique of conditionally volume averaging and subsequent closure modeling (Habla et al., 2013).
They then set about applying the techniques of religious art to figures from Greek mythology, English literature and popular legend.
Fiction suggests applying the techniques of genetic engineering to DNA extracted from bloodsucking prehistoric insects trapped in amber.
Since 1997, he has been applying the techniques of kitchen designers to the garage, introducing chic steel cabinets and wall units.
Mairet had even greater success in applying the techniques of "regular" drama to tragedy: Virginie (1633), Sophonisbe (1634), Le Marc-Antoine, ou La Cleopatre (1635; "Mark Antony, or Cleopatra"), Le Grand et dernier Solyman (1637; "The Last Great Solomon").
