实验结果明确地证实了我们的假设是正确的。

The experiment results ___definitively confirmed our hypothesis was correct.

科学家们最终确定了这个理论，给出了权威且不容置疑的结论。

The scientists have ___definitively established the theory with an authoritative conclusion.

法官最终决定性地解决了这场争议。

The judge settled the dispute ___definitively.