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Maths in a minute: Cayley graphs

Trying to solve a Rubik's cube? A Cayley graph gives you a road map for doing this — and is similarly useful for dealing with any other type of mathematical group!

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Maths in a minute: Measure

Learn how lengths, areas, and volumes generalise to the concept of measure, and how this relates to integration and probability.

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Maths in a Minute: Group actions

What exactly do we mean when we say group theory is the study of symmetry? Group actions make precise what it means for a group to act by symmetries on an object.