Note On the Aks Sorting Network Expository Note

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Note On the Aks Sorting Network Expository Note
Richard Cole
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) of its capacity. But we wish also that it maintain at least as high a deflation rate as the other nodes in T. When it receives keys it only receives them from its children, so in order that it continue to be at (1-X. ) capacity (or less), we require 2\A 0; if it is 'low, ' i. E. , its target node is to the left of its current node u, then x is at the lower end of the range of keys stored at u, since all keys y ^ x must have strangeness s or greater; similarly if it is 'high. ' This is why th...e extremes of the bag are sent back up the tree (with a small error tolerance). We must maintain \ sufficiently large to accommodate all strangers (in the absence of splitting error). It is conceivable that all strangers in a node are at the same end (all low or all high), and therefore we require that A. /2 ^ Sj, i. E. , in view of [A], Ultracomputer Note 109 Page 6 2jjl8

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