The phrase "as noted in the example" is correct and usable in written English.
You can use it to refer back to a previously mentioned example to clarify or support a point you are making.
Example: "The results of the study were significant, as noted in the example provided earlier."
Alternatives: "as mentioned in the example" or "as illustrated in the example".
As noted in the examples above, the lack of follow-up is a striking flaw in the coverage of stories domestic and international.
As noted in the Introduction section, the example (Equation 1.2) suggests that the C0-semigroup T t,ε) is not contracting, but it is eventually contracting, that is ||T(Nρ,ε)|| ≤ k < 1 for some integer N with Nρ < t0 and all ε ∈ P (see Section 5 for details).
As noted in the initial discussion of the example, if the legal and musical careers were of equal value, then a slightly improved version of the legal career would be better than the musical career, but this judgment appears incorrect.
As noted in the over-dispersed data example, we are limited in our ability to estimate m because it is a natural number.
For example, as noted in the discussion of cellular heredity, inheritance of organelles during cell division is required for the survival of daughter cells in addition to the inheritance of the nuclear genome.
For example, as noted in the Methods, we did not know whether students actually followed their plans or not.
For example, as noted in the previous section, a domain organization linking a domain that recognizes sugars with one that catalyses modification of the sugar is no longer just a feature of the carbohydrate-binding module/glycosidase family.
For example, as noted in the previous steps, an empty nester may fall in love all over again when the children leave, while a person who is ready to commit to someone who isn't, may fall back into the power struggle stages.
As noted in the next section, using approaches and examples that students find relevant to them, their families, and communities may help many of them to appreciate science more deeply.
As noted in the action plan, there are many examples of common approaches being taken to improve health across the government's work.
