Jump to content

Recommended Posts

You and your beloved have a pizza and a cheesecake for dinner. You love him or her but things must be fair! Prove that there are at least one ways to cut the pizza and the cheesecake in halves of equal areas by one straight cut. (By pizzas and cheesecakes, we mean compact connected subsets of R^2)


let me give you some idea: the area is continuous change with respectively to x. the pizza is bounded by rectangle. move the line to another position called x bar. the area between two position change little bit. prove that the given area is less than epsilon. if M*delta x < epsilon. please help

Link to post
Share on other sites

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!

Register a new account

Sign in

Already have an account? Sign in here.

Sign In Now
  • Create New...

Important Information

We have placed cookies on your device to help make this website better. You can adjust your cookie settings, otherwise we'll assume you're okay to continue.