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The Chemical Basis of Morphogenesis
A possible mechanism by which the genes of a zygote may determine the anatomical structure of the resulting organism is discussed, suggesting that certain well-known physical laws are sufficient to account for many of the facts. Expand
On Computable Numbers, with an Application to the Entscheidungsproblem
1. Computing machines. 2. Definitions. Automatic machines. Computing machines. Circle and circle-free numbers. Computable sequences and numbers. 3. Examples of computing machines. 4. AbbreviatedExpand
A Method for the Calculation of the Zeta‐Function
In recent years, much research has been devoted to the refinement of information retrieval systems; however, few have explored the investigation of the Turing machine. Given the current status ofExpand
Some Calculations of the Riemann Zeta-Function
Introduction IN June 1950 the Manchester University Mark 1 Electronic Computer was used to do some calculations concerned with the distribution of the zeros of the Riemann zeta-function. It wasExpand
It will be shown that the word problem in semi-groups with cancellation is not solvable. The method depends on reducing the unsolvability of the problem in question to a known unsolvable problemExpand
A number of methods of solving sets of linear equations and inverting matrices are discussed. The theory of the rounding-off errors involved is investigated for some of the methods. In all casesExpand
Finite Approximations to Lie Groups
A certain sense in which a finite group may be said to approximate the structure of a metrical group will be discussed. On account of Jordan's theorem on finite groups of linear transformations' itExpand
On Computable Numbers, with an Application to the Entscheidungsproblem. A Correction
In a paper entitled "On computable numbers, with an application to the Entscheidungsproblem"* the author gave a proof of the insolubility of the Entscheidungsproblem of the "engere Funktionenkalkul".Expand
The chemical basis of morphogenesis. 1953.
  • A. Turing
  • Medicine
  • Bulletin of mathematical biology
  • 1990
The chemical basis of morphogenesis
It is suggested that a system of chemical substances, called morphogens, reacting together and diffusing through a tissue, is adequate to account for the main phenomena of morphogenesis. Such aExpand