The dimension of the space of plane curves vanishing to certain orders at finitely many points is counterintuitive. This article examines what is known toward proving a conjecture from the 1980s about this dimension. (pp. 192)
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The RSA encryption system is used to secure many commercial transactions, including communications on the Internet and ordinary credit card payments. The author gives a number of ways in which slight carelessness in using the system can render it vulnerable. (pp. 203)
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