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The phrase "algorithm is illustrated on" is correct and usable in written English.
It can be used when describing how an algorithm is visually represented or explained in a specific context, such as a diagram or a chart.
Example: "The algorithm is illustrated on the following flowchart, which outlines the steps involved in the process."
Alternatives: "algorithm is depicted in" or "algorithm is shown on".
Exact(6)
The optimization algorithm is illustrated on a HNO3 supply system.
The applicability of the proposed algorithm is illustrated on six standard test problems.
The algorithm is illustrated on 56-bar space truss system design problem and the results are discussed.
The performance of the algorithm is illustrated on scalar systems and a complex biomechanical control problem involving a stochastic model of the human arm.
The resulting algorithm is illustrated on real data from a field trial for different scenarios.
The new algorithm is illustrated on synthetic data, where results can be judged carefully, and also on a real, large scale Twitter activity data, where new insights can be gained.
Similar(54)
The effectiveness of the proposed algorithm was illustrated on the benchmark problems.
The presented concepts and algorithms were illustrated on previously published models describing biological processes.
The effectiveness of this algorithm is illustrated experimentally on a composite plate instrumented with piezoelectric elements.
The algorithm is illustrated and validated on synthetic data.
The working of the DSM algorithm is illustrated using simulations performed on data obtained from residential heating system with 50 buildings in Norwegian living lab in Steinkjer.
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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