When it comes to convex analysis, it’s all about finding the right balance. It's a way of looking at problems to figure out the best way of making choices so that the result is the best it can be. To give you an example: if you have a bunch of different things you could buy and you only have a certain amount of money, convex analysis can help you figure out the combination of items that will get you the most out of your money. It looks at the different options and their prices to figure out the best combination of items.