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The phrase 'empirical demonstration' is correct and can be used in written English.
It is typically used when describing a scientific experiment or research that provides evidence to support a hypothesis or theory. For example, "The study included an empirical demonstration of the effects of caffeine on cognitive performance." This means that the study provided concrete evidence through observation and experimentation that caffeine has an impact on cognitive performance.
Exact(48)
The rational basis referred to in the Commerce Clause context is a demonstrated link in fact, based on empirical demonstration.
So yesterday, to show a reporter something on the subway, she conducted a simple empirical demonstration.
To our knowledge, this is the first empirical demonstration of landscape-level thresholds in species richness.
Our experiment provides the first empirical demonstration of precautionary motives in a strategic setting.
Our empirical demonstration shows that the method supports a systematic analysis of why employees comply/do not comply with policies.
Therefore, from the theoretical modeling and empirical demonstration, the decision framework proposed in this paper can effectively handle such a complicated problem and lead to an outstanding result.
Similar(12)
Somewhat surprisingly, nearly all empirical demonstrations of burning money in a consumer advertising context also manipulated white space, leaving the mechanism of action unclear.
The final belief about size for those who received nothing but empirical demonstrations was less likely to be compatible with the demonstration than the final belief of those in two other conditions.
More interestingly, the optimal control solution and proposed implementation strategy are consistent with empirical demonstrations but provide mathematical evidence that the flux may be increased dramatically by precise timing of the forward and backwashing cycles.
To conclude, our study is one of few empirical demonstrations of the routes and barriers to horizontal transmission of facultative symbionts.
These tend to be theoretical or conceptual claims, however, rather than concerted empirical demonstrations.
More suggestions(15)
tangible demonstration
experimental demonstration
empirical manifestation
operational demonstration
empirical embodiment
tentative demonstration
empirical sign
actual demonstration
experiential demonstration
specific demonstration
empirical evidence
empirical expression
practical demonstration
empirical pilot
empirical showing
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com