demonstrated above

USAGE SUMMARY

The phrase "demonstrated above" is correct and usable in written English.
You can use it to refer to information or examples that have been previously shown or explained in the text. Example: "The results of the experiment, as demonstrated above, indicate a significant improvement in performance."

✓ Grammatically correct

Science

News & Media

Academia

Human-verified examples from authoritative sources

Exact Expressions

58 human-written examples

What that book demonstrated above all is that Schama is a natural storyteller.

The Guardian

Pump up the volume with a parka, Mizrahi says, but offset its bulk with narrow pants, as demonstrated above.

The New York Times

Although the percentage would be arbitrary, the allocation of loss as demonstrated above is necessarily arbitrary under the present system.

Harvard University

Whenever we upload a new file to the datablog Silk site, you will be able to explore it in exactly the same detail demonstrated above.

The Guardian

(This we demonstrated above in the discussion of movement). And it makes no difference whether a finite is passing by an infinite or an infinite by a finite.

Massachusetts Institute of Technology

As demonstrated above, the commonalities that exterior product designs (and non speech sales activities in general) share with commercial speech and expressive conduct are generally regulable ones.

Harvard University

No bumps like demonstrated above to be seen.

TechCrunch

As demonstrated above, there are ways to overcome these verification methods.

Forbes

One example is demonstrated above that I'm wondering if it's more of an annoyance than anything else.

TechCrunch

Human-verified similar examples from authoritative sources

Similar Expressions

2 human-written examples

This involves "delivering innovative strategies which have demonstrated above-average results in improved services, processes and effectiveness within the transformational government agenda".

The Guardian - Opinion

Among Austrian generals, he demonstrated above-average initiative and skill, particularly in 1796 and 1809.

Wikipedia

Expert writing Tips

Best practice

Use "demonstrated above" to succinctly reference a point or finding that has been thoroughly explained or proven earlier in your text. It improves readability by avoiding repetition.

Common error

Ensure that what you are referencing with "demonstrated above" is undeniably clear to the reader. If there's any potential for confusion, restate the key points briefly or use a more specific reference.

Linguistic Context

The phrase "demonstrated above" functions as a referential marker, directing the reader to information or evidence previously presented in the text. Ludwig AI confirms its correctness and usability.

Expression frequency: Uncommon

Frequent in

Science

52%

News & Media

27%

Academia

12%

Less common in

Wiki

3%

Formal & Business

3%

Encyclopedias

0%

Ludwig's WRAP-UP

In summary, "demonstrated above" is a grammatically sound and useful phrase for referencing prior information within a text. Ludwig AI confirms its validity and usability. While its frequency is uncommon, it appears across a range of sources, particularly in scientific, news, and academic contexts. When using this phrase, ensure that the reference is clear and unambiguous to the reader. Alternative phrases such as "as previously shown" or "as explained above" can offer stylistic variation, but "demonstrated above" is often the most succinct and direct option.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

as explained above

Substitutes "demonstrated" with "explained", focusing on the clarity of the prior explanation.

as previously shown

Emphasizes the prior showing of information, replacing "demonstrated" with "shown".

as evidenced previously

Highlights the evidence provided earlier, substituting "demonstrated" with "evidenced".

as proven before

Implies that something has been confirmed as true, emphasizing the act of proof.

as indicated earlier

Focuses on the indication of something earlier in the text, rather than a full demonstration.

as shown in the preceding section

More explicitly references where the demonstration occurred, indicating a specific section.

as illustrated before

Uses "illustrated" to emphasize a visual or clear example that was given earlier.

previously established

Highlights that the information was not only shown, but also firmly established.

as pointed out earlier

Emphasizes that something was called to attention, not necessarily demonstrated or proven.

as mentioned previously

Indicates that something was simply mentioned, with less emphasis on proof or demonstration.

FAQs

How can I use "demonstrated above" in a sentence?

You can use "demonstrated above" to refer to something that has already been shown or proven earlier in the text. For example: "The positive effects of exercise, as "demonstrated above", are significant."

What is a good alternative to "demonstrated above"?

Alternatives include phrases like "as previously shown", "as indicated earlier", or "as explained above". The best choice depends on the specific context and nuance you want to convey.

Is it correct to say "as demonstrated above" or "as was demonstrated above"?

"As demonstrated above" is generally preferred for its conciseness. "As was demonstrated above" is grammatically correct but can sound slightly more formal or emphasize the action of demonstrating.

What's the difference between "demonstrated above" and "demonstrated below"?

"Demonstrated above" refers to information or evidence presented earlier in the text, while "demonstrated below" would refer to information or evidence that will be presented later in the text. For obvious reasons, "demonstrated below" is rarely used.