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Notes

[Notebook Turkey, DB 55]

[Sunday 24 March 2002 - Saturday 30 March 2002]

[page 63]

Sunday 24 March 2002
Monday 25 March 2002
Tuesday 26 March 2002
Wednesday 27 March 2002
Thursday 28 March 2002

Genetics in Hilbert space. Genes are orthogonal, and each gene is a basis vector whose contribution to life is measured by its rate of transcription. Normalization and uncertainty express the fact that the total metabolic rate of each cell may be viewed as a constant.

Friday 29 March 2002
Saturday 30 March 2002

 

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Papers
Turing, Alan, "On Computable Numbers, with an application to the Entscheidungsproblem", Proceedings of the London Mathematical Society, 2, 42, 12 November 1937, page 230-265. 'The "computable" numbers maybe described briefly as the real numbers whose expressions as a decimal are calculable by finite means. Although the subject of this paper is ostensibly the computable numbers, it is almost as easy to define and investigate computable functions of an integrable variable or a real or computable variable, computable predicates and so forth. The fundamental problems involved are, however, the same in each case, and I have chosen the computable numbers for explicit treatment as involving the least cumbrous technique. I hope shortly to give an account of the rewlations of the computable numbers, functions and so forth to one another. This will include a development of the theory of functions of a real variable expressed in terms of computable numbers. According to my definition, a number is computable if its decimal can be written down by a machine'. back

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