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On Non-Squashing Partitions
A partition n = p_1 + p_2 + ... + p_k with 1 <= p_1 <= p_2 <= ... <= p_k is
called non-squashing if p_1 + ... + p_j <= p_{j+1} for 1 <= j <= k-1.
Hirschhorn and Sellers showed that the number of non-squashing partitions of n
is equal to the number of binary partitions of n. Here we exhibit an explicit
bijection between the two families, and determine the number of non-squashing
partitions with distinct parts, with a specified number of parts, or with a
specified maximal part. We use the results to solve a certain box-stacking
problem.Comment: 15 pages, 2 fig
Species Profiles: Life Histories and Environmental Requirements of Coastal Fishes and Invertebrates (North Atlantic): American oyster
Feasibility study of alpha particle densitometers for measuring planetary atmospheric density Final report, Jul. 1968 - May 1969
Radioactive alpha particle density measuring system for atmospheric analyse
Microminiature thermocouple monitors own installation
Microminiature thermocouple makes precision gas sidewall temperature readings inside large thrust chambers. It is installed by a technique whereby the sensor monitors its own installation to insure against thermal damage to the thermocouple and ensure minimum disturbance to chamber surfaces
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