having demonstrated this

USAGE SUMMARY

The phrase "having demonstrated this" is correct and usable in written English.
It can be used to indicate that a previous action or proof has been established before moving on to a conclusion or further discussion. Example: "Having demonstrated this, we can now explore the implications of our findings."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

3 human-written examples

Having demonstrated this, we now fix N = 10 and use the quadrature rule given in Equation 15.

The Journal of Mathematical Neuroscience

Having demonstrated this differential toxicity, we next asked whether the cell death occurred through apoptosis.

British Journal of Cancer

Having demonstrated this age-emergent impairment, 2 further tests were performed.

Cerebral Cortex

Human-verified similar examples from authoritative sources

Similar Expressions

57 human-written examples

Apple's micropayment model has demonstrated this.

The Guardian

Leicester, however, have demonstrated this competition is to their liking.

The Guardian - Sport

China has demonstrated this by arresting Yongyi Song in Beijing.

The New York Times

But so far no solid studies have demonstrated this.

The New York Times

We have demonstrated this point with Sen. John McCain (R-Ariz.).

The Washington Post

And she has demonstrated this live on television.

The Guardian

Mr. Burrows and Mr. Fargion had demonstrated this.

The New York Times - Arts

Road crews with the Transportation Department have demonstrated this fact about 23,000 times since Feb. 7.

The New York Times

Expert writing Tips

Best practice

When using "having demonstrated this", ensure the demonstration you are referring to is clearly stated in the preceding context. This creates a logical flow for your writing.

Common error

Avoid using "having demonstrated this" as a filler phrase. Make sure it genuinely connects to a significant demonstration or proof, and not just a minor observation.

Linguistic Context

The phrase "having demonstrated this" functions as an introductory participle phrase. It connects a previously established point or proof to a subsequent statement or action. As Ludwig AI highlights, the phrase serves to link ideas logically.

Expression frequency: Common

Frequent in

Science

50%

News & Media

40%

Formal & Business

10%

Less common in

Academia

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "having demonstrated this" is a grammatically sound and frequently used introductory phrase that bridges a previously established point to a subsequent one. Ludwig AI confirms its proper usage in various contexts. While versatile, the phrase leans towards a neutral to formal register, most commonly appearing in scientific, news, and academic writing. Alternatives like "having shown this" or "after demonstrating this" can offer slight variations in emphasis, but the key is to ensure a clear connection to a prior, well-defined demonstration.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

having shown this

Replaces "demonstrated" with the synonym "shown".

after demonstrating this

Uses "after" to indicate a temporal sequence instead of a participle.

as this has been demonstrated

Changes the structure to passive voice.

given this demonstration

Uses "given" to indicate acceptance of the demonstration.

this having been demonstrated

Reorders the phrase with a present perfect participle construction.

in light of this demonstration

Emphasizes the importance of the demonstration as context.

with this demonstration in mind

Highlights that a demonstration must be remembered.

considering this demonstration

Indicates the act of taking the demonstration into account.

this demonstration having occurred

Uses a more formal and passive construction.

since this was demonstrated

Changes the sentence to a past tense.

FAQs

How can I use "having demonstrated this" in a sentence?

"Having demonstrated this" is often used to introduce a conclusion or a next step, as in, "Having demonstrated this, we can now proceed to the next phase of the experiment".

What are some alternatives to "having demonstrated this"?

You can use alternatives like "having shown this", "after demonstrating this", or "as this has been demonstrated".

Is it correct to say "having demonstrated this", or should I use a different tense?

The phrase "having demonstrated this" is grammatically correct in its present perfect participle form. Other tenses might be appropriate depending on the specific context, but this form is generally suitable for linking a previous demonstration to a current point.

What's the difference between "having demonstrated this" and "after demonstrating this"?

Both phrases indicate a sequence, but "having demonstrated this" emphasizes the completion of the demonstration, while "after demonstrating this" simply indicates that the demonstration preceded the current point.