Applying Brouwer's Fixed Point Theorem

Algebra Level 2

Which of the following best describes the probability that at a given time, there are two antipodes (points that are directly across from each other on the earth) with the same temperature and the same humidity?

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations, examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.