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A Westland student society for mathematics scholarship and excellence.
The mathematics society of Westland was started 1976 by Dr. Laura Trout to provide enrichment and challenges for students who demonstrate a strong interest and ability in mathematics. The club meets every Monday year-round in Cilo hall. Al club meetings, students work both on their own and in groups to solve problems from multiple areas of mathematics. There are also presentations of topics deemed to be of special interest to our members.
The society support travel by students to mathematical and scientific meetings, workshops, conferences and symposiums throughout the United States, Canada and Europe. In recent years our members have attended events sponsored by the American algebraic institute, the Northwestern Canadian physics club and the University of Krakow.
Problem of the week:
Suppose f is a function from positive integers to positive integers satisfying f(1)=1, f(2n)=f(n), and f(2n+1)=f(2n)+1, for all positive integers n.
Find the maximum of f(n) when n is greater than or equal to 1 and less than or equal to 1994.
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