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Thomas W. Lynch

Publications and source records attributed to Thomas W. Lynch.

2 recordsLinked to original sources

Towards a Better Understanding of CAR, CDR, CADR and the Others

This paper describes the IBM 704 architecture and the genesis of the names for CAR, and CDR, which, as it turns out, probably don't quite make sense. The paper suggests that this may not be all bad, as the names lend themselves to compounding. Indeed that the compound function names , such as CADR, or even CADADR, etc. may be read as little access programs.

cs.AI

More Jabber about the Collatz Conjecture and a Closed Form for Detecting Cycles on Special Subsequences [Assertion: Collatz cycles]

Professor Cadogan at the University of the West Indies identified special starting points that yield long subsequences where the normalization constant, k, is always one. I studied these special sequences and found an implicit mixed integer equation in closed form which if solved would produce seed values in cycling subsequences. Such cycles only occur among extremely large numbers, causing the equation to be difficult to solve numerically.

cs.DM