thus demonstrated

USAGE SUMMARY

The phrase "thus demonstrated" is correct and usable in written English.
It can be used to indicate that something has been proven or shown as a result of previous statements or evidence. Example: "The experiment yielded consistent results, thus demonstrated the validity of the hypothesis."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Algerian workers in Paris, the spokesman said, "have thus demonstrated their unshakeable will to pursue the fight until Algeria's total liberation.

The New York Times

Despite his many defeats, Mansfeld showed remarkable success in keeping armies together and thus demonstrated the truth of his motto: "War feeds war".

Encyclopedia Britannica

The Council of Jerusalem thus demonstrated the willingness of apostolic leaders to make compromises on certain secondary issues in order to maintain peace and unity in the church.

Encyclopedia Britannica

Tamavidin 2-REV thus demonstrated reversible biotin-binding capability.

Journal of Biotechnology

We have thus demonstrated that apart from electron phonon, electron electron scattering is also important.

Journal of Theoretical and Applied Physics

Shear enhancement of its crystallization was thus demonstrated from rheological experiments.

Polymer

We have thus demonstrated the existence of the resonance phase effect in a SiGe HBT.

Materials Science in Semiconductor Processing

The possibility to synthesize a non-aggregated product in the novel process is thus demonstrated.

Chemical Engineering and Processing: Process Intensification

ANNs, thus, demonstrated promising predictive classification abilities for the mapping of potential a.s.s

Geoderma

The advantages of efficient computations over large distances, in particular with regard to short pulses, are thus demonstrated.

Journal of Computational Physics

On the basis of these improved tribological behaviors, the superior durability of (Cr0.5Al0.5 1 − xSixN coating is thus demonstrated.

Surface and Coatings Technology

Expert writing Tips

Best practice

Use "thus demonstrated" to clearly indicate that a conclusion or result logically follows from the preceding information. This helps to create a smooth and coherent flow in your writing.

Common error

Avoid using "thus demonstrated" in very informal writing or speech. The phrase has a formal tone and may sound unnatural in casual conversation. Opt for simpler alternatives like "so" or "therefore" in those situations.

Linguistic Context

The phrase "thus demonstrated" functions as an adverbial connector, linking a preceding statement or set of facts to a conclusion that has been proven or made evident. It indicates a logical consequence that has been clearly shown. Ludwig AI confirms its proper usage.

Expression frequency: Very common

Frequent in

Science

78%

News & Media

11%

Encyclopedias

5%

Less common in

Formal & Business

3%

Reference

2%

Social Media

1%

Ludwig's WRAP-UP

In summary, the phrase "thus demonstrated" is a grammatically sound and frequently used expression that serves to clearly indicate a conclusion proven by preceding evidence. Ludwig AI confirms its validity. Predominantly found in scientific and formal contexts, it's a powerful tool for establishing logical connections in writing. While highly suitable for academic and professional environments, it should be used sparingly in informal settings where simpler alternatives may be more appropriate. Its high frequency and authoritative sources underscore its reliability in formal communication.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

thereby proven

Replaces "demonstrated" with "proven", implying a conclusive result.

therefore shown

Substitutes "demonstrated" with "shown", focusing on the act of displaying or revealing something.

hence established

Uses "established" instead of "demonstrated", suggesting a more formal confirmation or validation.

consequently revealed

Replaces "demonstrated" with "revealed", highlighting the unveiling of something previously unknown.

as a result indicated

Rephrases the entire expression to emphasize the cause-and-effect relationship.

in consequence confirmed

Similar to "as a result", but uses "confirmed" to denote verification of a fact or theory.

it follows that it was proven

Expands the phrase to a more explicit statement of logical deduction and proof.

accordingly illustrated

Replaces "demonstrated" with "illustrated", which suggests providing an example or visual representation.

subsequently validated

Uses "validated" instead of "demonstrated", implying formal verification and support.

it has been evidenced

Shifts the focus to the evidence supporting the claim rather than the act of demonstrating.

FAQs

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

The phrase "thus demonstrated" is typically used to show that something has been proven or made clear by previous evidence or arguments. For example, "The experiment yielded consistent results, thus demonstrated the validity of the hypothesis."

What are some alternatives to "thus demonstrated"?

You can use alternatives like "thereby proven", "therefore shown", or "hence established" depending on the specific context.

Is it appropriate to use "thus demonstrated" in formal writing?

Yes, "thus demonstrated" is well-suited for formal writing, especially in academic and scientific contexts where clear and logical connections between ideas are crucial.

What is the difference between "thus demonstrated" and "therefore"?

"Thus demonstrated" is more emphatic and specific, explicitly stating that something has been shown to be true. "Therefore" is a more general connector indicating a consequence or conclusion, but it doesn't necessarily imply a demonstration or proof.