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The phrase "applied to this example" is correct and usable in written English.
It can be used when discussing how a particular concept, rule, or principle is relevant or relevantly demonstrated in a specific instance or case.
Example: "The theory of relativity can be applied to this example to illustrate the effects of time dilation."
Alternatives: "relevant to this case" or "pertinent to this instance."
Exact(22)
Note that Theorem 1 cannot be applied to this example.
Thus, Theorem 10 cannot be applied to this example.
Let us imagine that the ASVM is applied to this example.
Hence, the above two theorems cannot be applied to this example.
Next, we show that the contractive condition in Theorem 2.2 cannot be applied to this example.
Note that since the delays are not monotone, Theorem 3.2 cannot be applied to this example.
Similar(38)
Indeed, the inequality above holds for k ≥ 6 5. Thus, Theorem 4.1 does not apply to this example.
This is because, by applying to this example, the LMI conditions in [9, 11, 12] cannot generate a feasible solution since the distributed delay is timevarying, as well as the coupling term and distributed delay occur randomly.
Cannot the experience in creating proactive learning communities by and for those with other conditions – obesity, diabetes and arthritis for example – be applied to this substantial untreated population with a chronic health disorder?
This framework is applied to the example of evaluating future routes in rats as based on current neuroscience.
Hence theorems in [34, 35] cannot be applied to solve this example.
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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