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" ... like a child's arithmetic book. In elementary arithmetic the two-dimensional character of the paper is sometimes used. But such a use is always avoidable, and I think that it will be agreed that the two-dimensional character of paper is no essential... "
Los Alamos Science - vii. lappuse
2002
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VLSI Algorithms and Architectures: Aegean Workshop on Computing ..., 2. sējums

Fillia Makedon, Kurt Mehlhorn, T.. Papatheodorou, Paul Spirakis - 1986 - 328 lapas
...two-dimensional character of paper is no essential of computation. I assume then that the computation is carried out on one-dimensional paper, ie, on a tape divided into squares. I also suppose that the number of symbols which may be printed is finite." "The behaviour of the [human]...
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Computability and Complexity: From a Programming Perspective

Neil D. Jones - 1997 - 466 lapas
...two-dimensional character of paper is no essential of computation. I assume then that the computation is carried out on one-dimensional paper, ie, on a...squares. I shall also suppose that the number of symbols which may be printed is finite. If we were to allow an infinity of symbols, then there would be symbols...
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The Importance of Being Fuzzy: And Other Insights from the Border Between ...

Arturo Sangalli
...two-dimensional character of paper is no essential of computation. I assume then that the computation is carried out on one-dimensional paper, ie, on a...squares. I shall also suppose that the number of symbols which may be printed is finite." Turing had in mind an ideal device which could manipulate certain...
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Mathematical Logic

R.O. Gandy, C.E.M. Yates - 2001 - 306 lapas
...two-dimensional character of paper is no essential of computation. I assume then that the computation is carried out on one-dimensional paper, ie on a tape...squares. I shall also suppose that the number of symbols which may be printed is finite. If we were to allow an infinity of symbols, then there would be symbols...
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The Essential Turing

B. Jack. Copeland - 2004 - 622 lapas
...two-dimensional character of paper is no essential of computation. I assume then that the computation is carried out on one-dimensional paper, ie on a tape...squares. I shall also suppose that the number of symbols which may be printed is finite. If we were to allow an infinity of symbols, then there would be symbols...
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Alan Turing: Life and Legacy of a Great Thinker

Christof Teuscher - 2004 - 542 lapas
...two-dimensional character of paper is no essential of computation. I assume then that the computation is carried out on one-dimensional paper, ie on a tape divided into squares." (p. 249). T\iring then discussed the nnmber of symbols needed for computation. He proposed that only...
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Induction, Algorithmic Learning Theory, and Philosophy

Michèle Friend, Norma B. Goethe, Valentina S. Harizanov - 2007 - 290 lapas
...analogy between machine learning and human observation explicit, when he writes: (T)he computation is carried out on one-dimensional paper, ie, on a...squares. I shall also suppose that the number of symbols which may be printed is finite. ...The difference from our point of view between the single and compound...
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Mechanisms: New Media and the Forensic Imagination

Matthew G. Kirschenbaum - 2008 - 296 lapas
...two-dimensional character of paper is no essential of computation. I assume then that the computation is carried out on one-dimensional paper, ie on a tape divided into squares. (75) "Computing" in this passage must be understood as the human activity of numeric manipulation,...
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