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The theorems of Hadamard and of Poincaré–Miranda give sufficient conditions for the existence of at least one zero for some continuous mappings from a Euclidean space into itself. The note gives ...
Ever seen the little ‘You Are Here’ dot on a map of the airport, or the mall, or any other structure? That’s a demonstration of the Brouwer Fixed-Point Theorem. Violently shaken martini shakers and ...
https://doi.org/10.4169/amer.math.monthly.121.05.415 https://www.jstor.org/stable/10.4169/amer.math.monthly.121.05.415 The Monthly publishes articles, as well as ...
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