established theorem
[ɪˈstæblɪʃt ˈθɪərəm]
nounpl: established theorems
teorema estabelecido
1. A mathematical or scientific proposition that has been proven true and is widely accepted as fact within a field of study
The Pythagorean theorem is an established theorem in geometry that has been proven for centuries.
O teorema de Pitágoras é um teorema estabelecido na geometria que foi provado há séculos.
2. A previously unproven conjecture or hypothesis that has now been rigorously demonstrated and accepted by the scientific community
Fermat's Last Theorem became an established theorem after Andrew Wiles provided his proof in 1995.
O Último Teorema de Fermat se tornou um teorema estabelecido após Andrew Wiles fornecer sua prova em 1995.
3. A fundamental principle or rule in mathematics, physics, or other sciences that serves as a foundation for further research
Newton's laws of motion are established theorems that form the basis of classical mechanics.
As leis do movimento de Newton são teoremas estabelecidos que formam a base da mecânica clássica.
In both Brazilian and American academic contexts, 'established theorem' is formal terminology primarily used in mathematics, physics, and scientific discourse. In Brazil, it reflects the mathematical traditions inherited from Portuguese colonial education, while in the USA it represents the standard terminology of the English-speaking scientific community. The term carries prestige, indicating knowledge that has withstood rigorous scrutiny and peer review.
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