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The Ultimate Challenge
The $3x+1$ problem, or Collatz problem, concerns the following seemingly innocent arithmetic procedure applied to integers: If an integer $x$ is odd then “multiply by three and add one”, while if it is even then “divide by two”. The $3x+1$ problem asks whether, starting from any positive integer, repeating this procedure over and over will eventually reach the number 1. Despite its simple appearance, this problem is unsolved. Generalizations of the problem are known to be undecidable, and the problem itself is believed to be extraordinarily difficult. This book reports on what is known on this problem. It consists of a collection of papers, which can be read independently of each oth...
The Boston Directory
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General Register
Announcements for the following year included in some vols.
Boston Directory
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The Making of the Atomic Bomb
**Winner of the Pulitzer Prize, the National Book Award, and the National Book Critics Circle Award** The definitive history of nuclear weapons—from the turn-of-the-century discovery of nuclear energy to J. Robert Oppenheimer and the Manhattan Project—this epic work details the science, the people, and the sociopolitical realities that led to the development of the atomic bomb. This sweeping account begins in the 19th century, with the discovery of nuclear fission, and continues to World War Two and the Americans’ race to beat Hitler’s Nazis. That competition launched the Manhattan Project and the nearly overnight construction of a vast military-industrial complex that culminated in ...
The Boston Directory
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