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Discrete Mathematics Level 3

Are all proportional divisions envy-free? Are all envy-free divisions proportional?

All proportional divisions are envy-free, but not all envy-free divisions are proportional. All envy-free divisions are proportional, but not all proportional divisions are envy-free. All proportional divisions are envy-free and all envy-free divisions are proportional. None of these statements is true.

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.

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including olympiad champions, researchers, and professionals.

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by Mei Li

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