2,373 research outputs found
Identically Distributed Pairs of Partition Statistics
We show that many theorems which assert that two kinds of partitions of the
same integer are equinumerous are actually special cases of a much stronger
form of equality. We show that in fact there correspond partition statistics
and that have identical distribution functions. The method is an
extension of the principle of sieve-equivalence, and it yields simple criteria
under which we can infer this identity of distribution functions
Payload spin assembly for the commercial Titan launch vehicle
A contract was completed to design, build, and test a Payload Spin Assembly (PSA) for installation onto the Martin Marietta Titan 3 Commercial launch vehicle. This assembly provides launch support for satellite payloads up to 5783 kilograms (6.37 tons) and controls release, spin-up, and final separation of the satellite from the second stage. Once separated, the satellite's Perigee Kick Motor (PKM) boosts the satellite into its transfer orbit. The first successful flight occurred December 31, 1989. Requirements, design, test, and problems associated with this mechanical assembly are discussed
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