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Study actively. Don’t just read it; fight it! Ask your own questions, look for your own examples, discover your own proofs. Is the hypothesis necessary? Is the converse true? What happens in the classical special case? What about the degenerate cases? Where does the proof use the hypothesis?
Paul R. Halmos

A mathematician, like a painter or a poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas.
G.H.Hardy

Mathematics is the art of giving the same name to different things.
Henri Poincaré

The essence of mathematics is its freedom.
Georg Cantor

Basis MathJax Tutorial

List of Generalizations of Common Questions

Visualization of $\Bbb{RP^2}$

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