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Bookseller Inventory Seller Inventory More information about this seller Contact this seller 4. Jim Hogshire; with contributions from Skylaire Alfvegren, an anon. Published by Venice, Calif. About this Item: Venice, Calif. Condition: Very Good. Dust Jacket Condition: No Dustjacket. Later Edition. ISBN Later Printing. Very Good Condition. Tight sound unmarked copy with minor rubs to edges and corners of covers. No Signature. More information about this seller Contact this seller 5. Published by Feral House About this Item: Feral House, Condition: Used: Very Good. Unmarked, uncreased, gently used.
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About this Item: Feral House,U. Brand new Book. During the late s, Thornley became friends with Lee Harvey Oswald when the two served together in the Marines, and was actually writing a novel based on Oswald three years before John F. Kennedy's assassination. These connections would later cause New Orleans district attorney Jim Garrison to suspect that Thornley was one of the notorious Oswald doubles and a part of a JFK assassination plot.
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The spine remains undamaged. Seller Inventory GOR More information about this seller Contact this seller 9. More information about this seller Contact this seller Seller Inventory LQ Seller Inventory BTE Published by Paraview Press About this Item: Paraview Press, Soft Cover. Published by Createspace Independent Publishing Platform Seller Inventory IQ About this Item: Condition: As New. Unread copy in perfect condition. Seller Inventory n. Dark, terrifying, disturbing, and yet handy. This mess of identities can leave the most astute reader baffled and confused as to who did what, when, where and why.
The terrifying saga is complicated enough without every character having six different names and no easy-to-use guide to clarify who is really who.
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Who's on first? Who's on third? Before spoiling all our fun by turning to the magic of the EIS, consider what these numbers signify. In a certain sense, they are the oddest of all numbers: When decomposed by the fusc recursion, each of these numbers runs through the odd branch of the circuit more often than any other numbers of similar size. But why do these particular numbers, and no others, have that property?
Suppose I ask you to construct a series of natural numbers with the following properties: Every number is odd, and every number is double the preceding number in the series. This task is obviously impossible: No integer that is twice another integer can be odd. All the numbers in the series are certifiably odd, and the ratio of successive terms converges on 2 in the limit of large n. Why those ratios? The series I have been calling the oddest numbers is sequence A in the EIS, where it is identified as the Jacobsthal sequence [ Note 11 ].
And they turn up in quite a variety of places.
In recent weeks I have been chastised in the friendliest way! Here are a few questions for which I would like to know answers. But the distribution of other fusc values is not so easy to describe. Am I missing something obvious? The action of the fusc function depends critically on the distinction between odd and even, or in other words on residues modulo 2. We can write analogous functions that classify integers modulo 3, 4, 5, and so on. Here's some output from a few of these variant functions fus2 is of course the standard fusc :.
You won't find any of the series other than fus2 in the EIS. There seems to be a pattern of repetition emerging in the higher-order series, but what is it exactly, and what does it mean? Note 1: No, that's not really the title of the book. But my title gives a clearer impression of the contents.
Dijkstra was a major figure in the early development of computer science, and by the time of his death in he was a senior statesman of the field. Nevertheless, his preferred role was always that of the small boy who tells the truth about the emperor's nakedness.
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All of the material from the book, and much else as well, is now available online at the E. Dijkstra Archive at the University of Texas at Austin. The answer was not very titillating; the unmentionable word in Dijkstra's text turned out to be "IBM. Note 4: Please allow me some ranting and raving of my own. Am I the only one who chafes at this inside-out style of function definition?
This layer of obfuscation to borrow a term is an invitation to error and misinterpretation. Note 5: For the benefit of the illisperate, here's the same algorithm in pseudo-Pascal:.
The odd n Lisp predicate and odd n Pascal predicate are not strictly needed, since any natural number that's not even had better be odd; but I've included the predicates to make the logic of the procedure a little clearer. Note 7: Don't take my word for it. The proof is given by Neil Calkin and Herbert S.
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Note 8: Stern, M. Ueber eine zahlentheoretische Funktion. In the opening paragraphs of the paper, Stern gives credit for the basic idea to Gotthold Eisenstein a fact pointed out to me by Donald E. Note 9: Brocot was Achille Brocot, a French clockmaker, whose interest in this number-theoretical function was highly pragmatic: He used it to help calculate gear ratios. Note I tried both the evens and the odds series at the Encyclopedia of Integer Sequences.
No matches. Note Question: Who was is Jacobsthal? The EIS listing offers no clue, and the three or four references I followed also fail to identify Jacobsthal or cite any works by an author of that name. On the other hand, I did come across the following tidbit in Eric W. Weisstein's MathWorld :. Weisstein, Apr. Note I realize I am straying perilously close to the sort of thing that will get me blacklisted by parental-control filters.
What could be more hypertexty?