CRANV2 Appendix 5A appendix Cyril Cleverdon Michael Keen Cranfield An investigation supported by a grant to Aslib by the National Science Foundation. Use, reproduction, or publication, in whole or in part, is permitted for any purpose of the United States Government. - 298 - The summation of this series is given by Schwatt 2nd edn. page 47] in the form:- series"- Chelsea, J p-m V bc P-kC = P+IC [OCRerr]=n n m p -n -m i- [OCRerr]'Operations with Putting b=S, p=N, re=R-K, n=K we obtain N-R+K (N[OCRerr]) (N+I)C(N R) SCK " CIR-K) = - S=K (N+I)_ = tC(N+l -N+R) = (N+I)c(R+I) (N+I K )C(R+I ) K(N+I ) QK NCR = = (R+I) This simple expression is the basis of the method used in Chapter 5; the above formal analysis shows it to be soundly based upon probability considerations.