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The phrase "execute algorithm" is correct and usable in written English.
It is used to refer to the process of carrying out a series of steps in order to solve a problem or complete a task. For example, "The programmer used a series of scripts to execute the algorithm quickly and efficiently."
Exact(7)
If channel n belongs to N1, execute Algorithm 5 to do bandwidth rescheduling.
Nodes in S r (t), which are in hexagon 8, execute Algorithm 3 in frame (mathcal {F}_{8}).
Regardless of success or failure in spectrum access, the WSAPs execute Algorithm 3 that updates the retrieved spectrum map with the spectrum sensing results.
With and, the WSAPs execute Algorithm 2 for a channel selection, and the algorithm consists of two steps: the collection of unoccupied channels and the selection of the operating channel.
Only in case a user cannot be supported by a BS anymore and no intrasystem hand-over is possible the user will execute Algorithm 2(a) again leading to a possible intersystem hand-over.
Although we can execute Algorithm 3.1, we need to verify the boundedness of ( T ( x n ) − x n ) n ∈ N. Instead, we can apply the Halpern algorithm (1) to this case without any problem.
Similar(53)
On the cyber side, the ability to execute algorithms repeatedly, quickly, and essentially flawlessly underlies much of the information technology revolution.
To develop information-based chemistry as a technology for programming matter to function in ways not seen in biological systems, it is necessary to understand how molecular interactions can encode and execute algorithms.
Systems designed by humans have no "intelligence" and only execute algorithms; however, they may, somehow, mimic an intelligent behaviour (smart systems).
Computers execute algorithms programmed by human beings and organisms express DNA that has been programmed by natural selection.
If n belongs to N3, then execute Algorithms 1 and 2 to re-schedule bandwidth.
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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