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The phrase "a new algorithm for the determination" is correct and usable in written English.
It can be used in contexts related to computer science, mathematics, or data analysis when discussing the development of a new method or process for finding or calculating something.
Example: "The researchers presented a new algorithm for the determination of optimal resource allocation in large-scale networks."
Alternatives: "a novel method for finding" or "an innovative approach to determining".
Exact(1)
A new algorithm for the determination of the solar position is proposed.
Similar(59)
This algorithm, in turn, serves as part of a new algorithm for the Realization Theorem itself.
With regard to ET, similar results have previously been reported on Caucasians who were assessed with Skin-Dex300 as well. 1 Using the SkinDex300 scanner, Josse et al 16 assessed 29 healthy subjects and developed a new algorithm for ET determination from cross-sectional OCT images.
A new algorithm for determination of magnitudes of dc voltage sources has been presented which is possible to generate all levels (odd and even) in output voltage.
A new algorithm for stopping the iterations is introduced.
In this article, we formulate a new algorithm for solving RMCS directly, which we call the seed-growing algorithm.
In summary, a new algorithm for additive Gaussian noise level estimation is described, which consists of three major phases: superpixel classification, local variance computation, and statistical determination.
"It's a new algorithm for pitch sequences," he said.
To make the exercise feasible and affordable, they turned to Columbia University, which developed a new algorithm for fast carbon footprinting.
We developed a new algorithm to analyze tiling microarrays for the determination of presence or absence of a gene, which was made feasible by using two genomes one of which is closely related to the reference while the other is more distantly related.
A new algorithm is developed for this purpose.
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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