By Claude Elwood Shannon, A. D. Wyner, Neil J. A. Sloane
This crucial e-book, the 1st released choice of papers via Claude E. Shannon, is an engaging advisor to the entire released articles from this world-renowned inventor, tinkerer, puzzle-solver, prankster, and father of knowledge idea. contains his seminal article THE MATHEMATICAL idea OF verbal exchange.
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Additional resources for Collected Papers of Claude E. Shannon
Not included.  "Feedback Systems with Periodic Loop Closure," Memorandum MM 44110-32, March 16, 1944, Bell Laboratories. Not included.  "Two New Circuits for Alternate Pulse Counting," Typescript, May 29, 1944, Bell Laboratories, 2 pp. + 3 Figs. Not included.  "Counting Up or Down With Pulse Counters," Typescript, May 31, 1944, Bell Laboratories, 1 p. + 1 fig. Not included. [211 (With B. M. M. , 11 figs. Abstract only included in Part A.  · 'The Best Detection of Pulses," Memorandum MM 44-110-28, June 22, 1944, Bell Laboratories, 3 pp.
Received Sept. ) Reprinted in D. 1' Information Theory, IEEE Press, NY, 1974. Included in Part A. [ 117] "Probability of Error for Optimal Codes in a Gaussian Channel," Bell System Technical Journal, Vol. 38 (1959), pp. 611-656. (Received Oct. ) Included in Part A.  "Coding Theorems for a Discrete Source With a Fidelity Criterion," Institute of Radio Engineers, International Convention Record, Vol. 7 (Part 4, 1959), pp. 142-163. Reprinted with changes in Information and Decision Processes, edited by R.
According to a well known result in finite differences, N(t) is then asymptotic for large t to X~ where X o is the largest real solution of the characteristic equation: r 'l + x:» + ·.. + rift = 1 . and therefore C = logXo In case there are restrictions on allowed sequences we may stilloften obtain a difference equation of this type and find C from the characteristic equation. In the telegraphy case mentioned above N(t) = N(t - 2) + N(t - 4) + N(I - + N(t - 5) + N(t - 7) + N(t - 8) 10) as we see by counting sequences of symbols according to the last or next to the last symbol occurring.
Collected Papers of Claude E. Shannon by Claude Elwood Shannon, A. D. Wyner, Neil J. A. Sloane