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The phrase "apply this algorithm to" is correct and usable in written English.
You can use it when discussing the implementation or usage of a specific algorithm in a particular context or problem.
Example: "To solve the optimization problem, we need to apply this algorithm to the dataset we collected."
Alternatives: "utilize this algorithm for" or "implement this algorithm on".
Exact(31)
We then apply this algorithm to obtain specific results for planar graphs and Euclidean graphs.
We further apply this algorithm to the coupling of flows with moving rigid bodies.
We apply this algorithm to several matrices that arise in applications.
To apply this algorithm to mobile robots equipped with range finders, a kernel density tree is learned that permits fast sampling.
We compare our numerical results to exact solutions in one spatial dimension and apply this algorithm to the simulation of film boiling in two spatial dimensions.
Then, we apply this algorithm to a complicated physical system involving nonlinear and nonlocal strain forces coupled to a thermal field.
Similar(29)
But by applying this algorithm to business registration records, the researchers can get a reasonable measure of the entrepreneurial quality of a city, state, or nation.
We applied this algorithm to 18 yeast time-series microarray datasets.
We applied this algorithm to published siRNAs, and could classify effective and ineffective siRNAs with 90.6%, 86.2% accuracy, respectively.
Applying this algorithm to the Cartesian coordinates defines a transformation to magnetic coordinates, in which the magnetic differential equation can be accurately solved.
Applying this algorithm to rigid and deformable systems, we obtain robust and accurate simulations of frictional contact behavior not previously possible, at rates suitable for interactive haptic simulations, as well as large-scale animations.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com