'demonstrating'
[show.v.01] as in: give an exhibition of to an interested audience


Examples:
She shows her dogs frequently
We will demo the new software in Washington



'demonstrating'
[prove.v.02] as in: establish the validity of something, as by an example, explanation or experiment


Examples:
The experiment demonstrated the instability of the compound
The mathematician showed the validity of the conjecture



'demonstrating'
[attest.v.01] as in: provide evidence for; stand as proof of; show by one's behavior, attitude, or external attributes


Examples:
His high fever attested to his illness
The buildings in Rome manifest a high level of architectural sophistication
This decision demonstrates his sense of fairness



'demonstrating'
[demonstrate.v.04] as in: march in protest; take part in a demonstration


Examples:
Thousands demonstrated against globalization during the meeting of the most powerful economic nations in Seattle



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