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Loose notes probably created during the Delilah project, 1942 - 2020

 File
Reference Code: GHR/0272/AMT/H/1/2

Scope and Contents

Drawings, diagrams, electrical and mathematical problems and solutions, apparently in the hands of AMT and Bayley. Comprises: - Sheets 1-2: in AMT's hand: 'Bandwidth Theorem. If f(t) is restricted to the frequency band -ω_0 ω ω_0 then it is uniquely determined by its values at the times πω/ω_0' followed by a proof. Sheet 1 has notes, apparently unrelated to Delilah and in an unknown hand, on the back. -Sheet 3: note in Bayley’s hand stating ‘Delilah is an application of the bandwidth theorem. This is Turing’s proof. He wasn’t the first to do so.’ - Sheet 4: ‘Faltung’ (convolution). Posing and solving the following problem. Given the function describing the (linear) density of mushrooms, and the function describing the density of spores falling from a mushroom (assumed the same for all mushrooms), calculate the function giving the total density of spores. Written by AMT on reverse of a form S. 323 (wireless-operator log sheet) filled in on 9 [August] 1942 pre-printed with UK stations (Thurso, Cupar, Candridge, Stockland, Gilnahirk, St Erth, ?mondham), and annotated ‘No fix P[illegible number] between GENOA and NAPLES area’. -Sheet 5: ‘Determination of cut-off volts’. Electrical diagram and calculations written by AMT on reverse of a form S. 323 (wireless-operator log sheet) filled in on 23 November 1943. The ‘recording station’ is H.M.S. Forfar which was sunk in 1940. -Sheets 6-13: notes on mathematical and electrical problems, ‘Problem: x_1=a, x_(n+1)=e^[ξ x_n]. Discuss the convergence of the sequence x_n’ with solution worked for various cases of [ξ], in AMT's hand; 'Fourier Theorem' workings on one side and 'Magnetron Oscillator' diagram in pencil on the other side, in Bayley's hand; graph of 'Oscillation between two valves' with axes a and ξ on one side and short calculation on the other, in AMT's hand; statements of Cauchy’s Theorem, the Cauchy Riemann equations, the formula for integration over a closed curve, Cauchy’s integral formulae and Liouville’s Theorem, in Bayley's hand; calculation of 'Output for input of unit pulse' in AMT's hand and annotated '(submarine cable see p 40 of notebook)' in an unascribable hand; electronic diagrams with associated matrices and calculations, in AMT's hand. -Sheets 14-33: mathematical diagrams, Fourier analysis calculations and explanations written on the reverse of 'Red Forms': W[ireless] / T[elegraphy] intercept forms (Army Form C2133). 13 sheets were written in pencil, apparently in AMT’s hand, and were numbered probably during the project. The others are probably written by Turing and/or Bayley. All but one of the sheets (which contains an electronic diagram and some calculations on the form side as well as the writing on the back of the form) are blank on the form side.

Dates

  • Creation: 1942 - 2020

Creator

Extent

33 sheet(s)

Language of Materials

English

Arrangement

The sheets were assigned AMT/H/1/2 reference numbers by the cataloguing archivist at accession.

Date information

The material is undated and probably dates from 1943-45 except for the explanatory note from Bayley - sheet 3 - which may be as late as 2020.

Repository Details

Part of the Archive Centre, King's College, Cambridge Repository

Contact:
Archivist
King's College
Cambridge CB2 1ST United Kingdom
+44 (0)1223 331444