Here are some examples:
* "Notwithstanding the bad weather, we went for a walk." (Even though the weather was bad, we still went for a walk.)
* "The company announced a new product, notwithstanding the recent economic downturn." (The company launched a new product even though the economy was struggling.)
* "Notwithstanding the fact that he was tired, he finished the race." (Even though he was tired, he still finished the race.)
Essentially, "notwithstanding" introduces a contrast or exception to what has been said before.
It can be used in both formal and informal writing, but is often used in legal documents and contracts.