Strength and power must always be controlled and conceiled. Uncontrolled strength and power can harm you and the innocent. Is is very bad form to flaunt what you think you know. Strategically, you never what a possible assailant to be aware that you know anything. Be strong, but appear to be weak.
Arrogance is disrespectful and dishonorable.
The mat has been replaced by concrete, rocks, busted glass, nails, curbs, posts, cars, and unseen weapons to name a few. Stay on your feet at all costs and access as many fital targets as possible with maximal speed and power. If you wind up on the ground, get to your feet as soon as possible. Training must begin slow and smooth. Even those who think they have sufficient training tend to move too quickly.