"Nonetheless" is a word used to show contrast or to indicate that something is true despite other information. For example, if it is raining outside, you might say, "It was pouring; nonetheless, we decided to go for a walk." This means that even though the rain was heavy, the decision to walk was still made.
Using "nonetheless" helps to connect ideas and clarify that one situation does not change the other. It can be helpful in writing or speaking to emphasize resilience or determination. For instance, a student might say, "I was tired; nonetheless, I finished my homework." This shows commitment to completing the task despite feeling fatigued.