hence demonstrated

USAGE SUMMARY

'hence demonstrated' is a correct and usable part of a sentence in written English.
You can use it to signal a logical conclusion based on the evidence presented. For example, "The findings of the study indicate a strong correlation between exercise and health; hence demonstrated, regular exercise is important for overall wellness."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

10 human-written examples

Comparison of theoretical and experimental results showed good agreement and hence demonstrated the capabilities of the new formulation presented here.

International Journal of Mechanical Sciences

Comparison of theoretical and experimental results showed good agreement and hence demonstrated the capabilities of the numerical simulation presented here.

Annals of Nuclear Energy

The influent nitrifiers potentially seeded the activated sludge of the bioreactor and hence demonstrated a mitigation of the acclimatization times and instability during start-up and early operation.

Journal of Environmental Sciences

The rate constants obtained show excellent correlation with non-micro pore volumes, which are of import as the only pores that are accessible to hydrogen bonded metaldehyde molecules; Macronet MN502 exhibits the largest non-micro pore volume and, hence, demonstrated the best kinetic performance.

Chemical Engineering Journal

Our results hence demonstrated that TbUNC119 interacted with TbUNC119BP in vitro.

Plosone

We hence demonstrated the feasibility of SSO-directed splice-switching activity in vivo.

British Journal of Cancer

Human-verified similar examples from authoritative sources

Similar Expressions

50 human-written examples

The silver coating prevented the adhesion of L. acidophilus to the orthodontic wires, hence demonstrating its antiadherent properties.

Progress in Orthodontics

We show how excipients dramatically influence such repulsive effects, hence demonstrating the potential application of extensive SAXS screening in antibody selection, eventual engineering, and formulation development.

Journal of Pharmaceutical Sciences

This table shows that the current approach using random forest models performs on par or better than previously published models and hence demonstrates reproducibility of published results.

Journal of Cheminformatics

We report the weakness of this cryptosystem and hence demonstrate that in its actual design, it cannot be used in the real world applications and it needs to be first enhanced by avoiding the design drawbacks reported in this work.

Communications in Nonlinear Science and Numerical Simulation

This is due to the different secondary flow pattern in the cross-sections, hence demonstrating a direction for desired volute cross-sectional shape to be used in a turbocharger radial turbine for internal combustion engine.

Energy Conversion and Management

Expert writing Tips

Best practice

Use "hence demonstrated" when you want to clearly indicate that a conclusion or result logically follows from the preceding information. It is particularly useful in academic, scientific, and formal writing contexts.

Common error

Avoid using "hence demonstrated" in casual or informal writing. This phrase can sound overly formal or pretentious in everyday conversation or informal communication. Opt for simpler alternatives like "so" or "therefore" in such cases.

Linguistic Context

"Hence demonstrated" functions as a causal connector, linking a cause or premise to its logical consequence. It explicitly shows that something has been proven or made evident as a result of the preceding information. Ludwig AI confirms its proper usage in written English.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "hence demonstrated" is a formal phrase used to indicate that something has been proven or made evident as a logical consequence of preceding information. Ludwig AI confirms that it is a correct and usable part of a sentence in written English, particularly within academic and scientific contexts. While effective in these settings, it should be avoided in casual or informal writing where simpler alternatives like "so" or "therefore" would be more appropriate. The phrase is typically used to assert a clear connection between evidence and a conclusion, reinforcing the demonstrative aspect of the result.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

thus demonstrated

Replaces "hence" with "thus", providing a more direct and concise connection between cause and effect.

hence proved

Replaces "demonstrated" with "proved", implying a higher degree of certainty.

therefore demonstrated

Substitutes "hence" with "therefore", offering a slightly stronger emphasis on the logical conclusion.

hence validated

Replaces "demonstrated" with "validated", indicating that something has been confirmed or proven accurate.

hence revealed

Substitutes "demonstrated" with "revealed", suggesting the uncovering of something previously unknown.

consequently demonstrated

Offers a similar meaning with a slightly more formal tone than "hence demonstrated".

hence denoted

Uses "denoted" instead of "demonstrated", indicating that something serves as a sign or indication of something else.

accordingly demonstrated

Adds "accordingly" for slightly increased formality, emphasizing the logical sequence.

as a result demonstrated

Specifies a cause-and-effect relationship more explicitly.

in consequence demonstrated

It's a more formal and literary way to express cause and effect.

FAQs

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

Use "hence demonstrated" to show a direct result or conclusion from a previous statement. For example, "The experiment yielded consistent results; hence demonstrated, the hypothesis is valid".

What phrases are similar to "hence demonstrated"?

Alternatives include "thus demonstrated", "therefore demonstrated", or "consequently demonstrated". The choice depends on the specific nuance you want to convey.

Is "hence demonstrated" appropriate for all types of writing?

No, "hence demonstrated" is best suited for formal and scientific writing. It may sound out of place in casual or informal contexts. Simpler words like "so" or "therefore" are often better choices in those situations.

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

While both phrases indicate a logical consequence, "thus demonstrated" can feel slightly more direct and concise than "hence demonstrated". Either can be used, but the best choice depends on the desired tone and flow of the sentence.