Ideas that are presented unequivocally are given clearly, without causing doubt and confusion. At your lecture, you presented facts and charts, speaking unequivocally about the dangers of global warming.
The adverb unequivocally strengthens the ideas in a statement as true and easy to understand. The word can be traced to the Latin aequivocus, meaning "ambiguous." The addition of the prefix "un" turns the meaning around to "not equivocally." Economist John Kenneth Galbraith once said, "All of the great leaders have had one characteristic in common: it was the willingness to confront unequivocally the major anxiety of their people in their time."