simple past tense and past participle of bound
"After falling from the ladder, he was bounded by his friends who rushed to catch him."
In plain English: To bound means to jump with both feet at once, usually while moving forward quickly and energetically.
"The puppy bounded across the grass after the ball."
That can be enclosed within a ball of finite radius.
"In geometric analysis, every compact set in Euclidean space is bounded because it can be entirely enclosed within a sphere of finite radius."
In plain English: Bounded means having clear limits or boundaries that stop you from going further than those edges allow.
"The dog ran freely in its bounded yard until evening came."
Usage: In everyday language, bounded describes something that has clear limits or boundaries rather than extending infinitely in all directions. Use this term when referring to physical spaces like parks with fences or mathematical sets contained within a specific area.