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The phrase "algorithm is explained in" is correct and usable in written English.
You can use it when referring to a source or document that provides an explanation of a specific algorithm.
Example: "The algorithm is explained in detail in the research paper published last year."
Alternatives: "the algorithm is described in" or "the algorithm is detailed in".
Exact(24)
The proposed algorithm is explained in details and evaluated.
The optimization algorithm is explained in detail and the optimal field layout is presented.
Each algorithm is explained in three ways: (1) Cartoon, (2) Simple text description (3) Styles of questions you might ask that the algorithm might service.
Finally, application is made to a variety of relevant cases, including Teleportation, Quantum Fourier transform, Grover's search and Shor's algorithm, in separate notebooks: QFT.nb, Teleportation.nb, Grover.nb and Shor.nb where each algorithm is explained in detail.
The proposed algorithm is explained in detail in Sect. 4.
The proposed GDBP algorithm is explained in Section 4.
Similar(36)
All elements of the algorithm are explained in detail and extensive validation studies are presented.
Below, the steps of the algorithm are explained in detail.
The steps of the ISTA algorithm are explained in Table 7.
A pseudo-code of the proposed algorithm for the VRP is presented in the Figure 8, while in the current section, the procedures of the algorithm are explained in detail.
The rest of the paper is organized as follows: basics of random walk procedure and the proposed LRW algorithm are explained in "Methodology" section; an extensive set of experiments on the simulated and real graph data, along with both numerical and visual evaluations are given in "Experiments" section; finally, the conclusions and future work are discussed in "Conclusions" section.
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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