Math

National Assessment of Educational Progress

The National Assessment of Educational Progress (NAEP) is the largest continuing and nationally representative assessment of what U.S. students know and can do in various subjects. NAEP is a congressionally mandated project administered by the National Center for Education Statistics (NCES), within the Institute of Education Sciences (IES) of the U.S. Department of Education. The

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3x+1

In algebra, the 3x + 1 semigroup is a special subsemigroup of the multiplicative semigroup of all positive rational numbers. The elements of a generating set of this semigroup are related to the sequence of numbers involved in the still open Collatz conjecture or the “3x + 1 problem”. The 3x + 1 semigroup has been used to prove a weaker form of the Collatz conjecture. In fact, it

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