ELI5: Explain Like I'm 5

Minkowski inequality

Minkowski inequality is a math rule that says that you can't always add two things together and get their full size. This means that if you have two things that are different sizes, and you want to add them together to find out how big they are, you can't just add their sizes like you would add numbers.

Instead, there is a special way to add them called the Minkowski sum. This way of adding things is like drawing one shape and then putting another shape next to it to make a bigger shape.

But, the Minkowski inequality says that the new shape you make when you add the two shapes together will always be bigger than either of the original shapes. It's kind of like how if you put two toys together, you can't make them take up less space than they did separately.

Minkowski inequality is important in many areas of math, like geometry and calculus. It helps us understand how shapes and numbers relate to each other, and it helps us solve problems and make predictions about how things will behave.