On Dirichlet ' S Divisor Problem
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چکیده
tact, whereas those for a = 0.02 imply only 25% more frequent contacts than the all-ornone hypothesis but with rather high though rapidly diminishing attack rates. 10 Schuman and Doull, Amer. Jour. Pub. Health, 30, Supplement to March, 1940, p. 21, state: "From these estimates of carrier prevalence and froni the average annual increment in Shick-negatives, an estimate may be made of the number of carrier infections necessary, on the average, to produce sufficient antitoxin to give a negative Shick test." This seems to imply belief on their part that immunization as indicated by a negative Schick test may be acquired progressively; it is possible that a degree of immunity sufficient to prevent the disease arising on further contact is acquired before the Shick test turns negative, and if this degree of immunity were regularly acquired on the first carrier infection, we should classify the immunity as arising from a sub-clinical case under the definitions of footnote 2 and the phenomenon as to be considered of the all-ornone type.
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