The phrase "and demonstrated its effectiveness" is correct and usable in written English.
You can use it when discussing the results or outcomes of a study, program, or method that has been tested or evaluated.
Example: "The new training program was implemented over six months and demonstrated its effectiveness in improving employee performance."
Alternatives: "and proved to be effective" or "and showed its efficacy."
The low-rank representation (LRR) was presented recently and demonstrated its effectiveness for robust subspace segmentation.
Reference [33] proposed applying the AIMD algorithm to EV charging problems and demonstrated its effectiveness in a number of practical scenarios.
Mohammadi (2012) simulated polymer-augmented LSW flooding and demonstrated its effectiveness in homogeneous and heterogenous heavy oil reservoirs with better outcome for tertiary injection mode.
Horster et al. [13] investigated the applicability of LDA in the context of semantic image modeling and demonstrated its effectiveness in query-by-example-based image retrieval settings.
We introduced a new concept called "edge resultants" besides conventional (sectional) resultants, and demonstrated its effectiveness for exact derivation and physical interpretations of the derived equations.
Afterwards, Whittle et al. [29] and Hert et al.[30] used 2D fingerprint similarity ranking with DF for virtual screening, and demonstrated its effectiveness over conventional similarity searching in scaffold-hopping searches for structurally diverse sets of active molecules [31].
We estimate the performance of our parallel algorithm and demonstrate its effectiveness by comparing it with a recent algorithm for the same problem on star graphs (IEEE Trans. Parallel Distrib. Systems 8 (8) (1997) 803).
We discuss the concepts of this framework, compare it to other software and demonstrate its effectiveness for several demanding registration applications, highlighting its versatility and reliability.
Then, we use this XOR circuit as a component to design a hybrid memristor CMOS PUF circuit and demonstrate its effectiveness through extensive simulations of environmental and process variation effects.
While the displacement transformation is generic, here we implement it within an ensemble Kalman Filter framework and demonstrate its effectiveness in tracking stochastically perturbed vortices.
