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UCLA Olga Radko Endowed Math Circle |
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10/11/2015 -- High School II: Integer-Valued PolynomialsWhich polynomials take integer values p(x) at all integer points x? (It's not just the ones that have integer coefficients!) We'll introduce the finite difference operator and apply properties of it to arrive at a simple but surprising characterization of integer-valued polynomials. Handouts: |
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