as demonstrated previously

USAGE SUMMARY

The phrase "as demonstrated previously" is correct and usable in written English.
It can be used to refer back to information or evidence that has already been presented earlier in the text. Example: "The results of the experiment were consistent with the theory, as demonstrated previously in our earlier findings."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

As demonstrated previously, it appears that urbanized regions may retain a lower percentage of atmospherically deposited Hg than other landscape types.

Applied Geochemistry

The inactive pro-form BCP was activated in vivo, in parallel with yolk protein degradation, and as demonstrated previously in vitro under acidic conditions (Takahashi et al., 1993).

Journal of Insect Physiology

Objectives: (1) To replicate a study of the efficacy of Argentum nitricum 12X in the reduction of test anxiety as demonstrated previously.

Complementary Therapies in Medicine

The above mentioned attacks can be implemented in various ways, as demonstrated previously by [19].

Journal of Cloud Computing

A further 4%% of the subjects reported experiencing miscellaneous headache as demonstrated previously [13].

The Journal of Headache and Pain

As demonstrated previously [8], PET/CT using 89Zr-nanocolloidal albumin was able to identify a SLN near the injection site.

EJNMMI Research

As demonstrated previously, the synergistic effect of the solvent and surface allows for easier control of the FF nanostructures[27].

Nanoscale Research Letters

Elevation of annealing temperature may decrease number of amplified fragments as demonstrated previously (Chow et al. 2015).

International Aquatic Research

As demonstrated previously in general ICU, clinical parameters seem to be major determinants of WWLS decisions in cancer patients.

Intensive Care Medicine Experimental

As demonstrated previously for neural master equations [17, 18, 20], path integrals provide a systematic method for generating the hierarchy of moment equations.

The Journal of Mathematical Neuroscience (JMN)

As demonstrated previously, sports and aerobic exercise training may exert positive effects on psychological wellbeing, psychiatric co-morbidity, quality of life, and pain perception [17 – 28].

The Journal of Headache and Pain

Expert writing Tips

Best practice

Use "as demonstrated previously" to efficiently refer to prior findings or arguments, avoiding repetition and maintaining a logical flow in your writing. Ensure the previous demonstration is clearly accessible to the reader.

Common error

Avoid using "as demonstrated previously" if the referenced information is not widely known or if the audience may not be familiar with the prior demonstration. In such cases, provide a brief recap or citation for clarity.

Linguistic Context

The phrase "as demonstrated previously" functions as an adverbial phrase, modifying a verb or clause by indicating that the statement being made has already been proven or shown. Ludwig AI confirms its correct usage and provides numerous examples in diverse contexts.

Expression frequency: Very common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

In summary, the phrase "as demonstrated previously" serves as a useful tool for referencing existing evidence and maintaining a logical flow of information. Ludwig AI indicates that this phrase is grammatically correct and common, especially in scientific writing. When using this phrase, ensure that the referenced information is clear and easily accessible to your audience. Alternatives such as "as shown before" or "previously shown" can provide stylistic variations.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

as shown before

Replaces "demonstrated" with "shown", focusing on the act of displaying evidence rather than a formal demonstration.

as proven earlier

Replaces "demonstrated" with "proven", stressing that something has been conclusively proven or verified.

as evidenced earlier

Substitutes "demonstrated" with "evidenced", highlighting the presence of supporting evidence presented earlier.

as established earlier

Uses "established" instead of "demonstrated", emphasizing that something has been firmly proven or recognized before.

previously shown

A more concise variation, omitting "as" and reordering the phrase to focus on the fact that something has been shown at an earlier time.

as indicated above

Replaces "demonstrated previously" with a direct reference to something mentioned earlier in the text, using "indicated".

previously established

Similar to "previously shown", this alternative is concise and emphasizes that the point has been firmly proven before.

as noted earlier

Uses "noted" to indicate that something was mentioned or observed before, rather than formally demonstrated.

as discussed previously

Emphasizes that something was talked about or analyzed before, using "discussed" in place of "demonstrated".

in prior research

This phrase shifts the focus to prior research efforts rather than the act of demonstrating.

FAQs

How can I use "as demonstrated previously" in a sentence?

You can use "as demonstrated previously" to refer to information or evidence that has been presented earlier in your text. For example, "The results were consistent with the hypothesis, as demonstrated previously in our initial study".

What are some alternatives to "as demonstrated previously"?

You can use alternatives like "as shown before", "as evidenced earlier", or "previously shown" depending on the context.

When is it appropriate to use "as demonstrated previously" in academic writing?

It is appropriate to use "as demonstrated previously" in academic writing when you are referring back to your own earlier findings or to well-established results in the field. Ensure the previous demonstration is easily accessible through citations.

Is "as demonstrated previously" formal enough for professional communication?

Yes, "as demonstrated previously" is suitable for professional communication as it provides a clear and concise way to reference prior information. However, ensure the context is appropriate and the reference is clear.