emphatically
In a very strong and clear way, showing you mean it.
Emphatically means saying or doing something with special force and conviction to show you really mean it. When you answer a question emphatically, you make absolutely clear there's no doubt in your mind, expressing your position with strength and certainty.
If someone asks whether you want to go to the amusement park and you respond emphatically, “Yes!” you're expressing enthusiasm that leaves no room for misunderstanding. A judge might rule emphatically in favor of one side, or a scientist might state emphatically that the experiment proved her hypothesis.
The word suggests both strength and clarity. Speaking emphatically means putting real energy and certainty behind your words, like the difference between shrugging or nodding versus firmly declaring your position. When a teacher says emphatically that plagiarism is unacceptable, students understand this isn't a suggestion or a guideline: it's an absolute rule.
You can also express things emphatically without words. A coach might point emphatically toward the goal, or someone might shake their head emphatically to show they definitely disagree. The gesture itself carries unmistakable meaning, making the person's position perfectly clear to everyone watching.