TSUNSHANNON(1) TSUNSHANNON(1) NAME tsunshannon - shannon information capacity calculation, given the Shan- non probability SYNOPSIS tsunshannon [-v] p DESCRIPTION Tsunshannon is for calculating the Shannon information capacity, (and optimal gain,) given the Shannon probability. See "Fractals, Chaos, Power Laws," Manfred Schroeder, W. H. Freeman and Company, New York, New York, 1991, ISBN 0-7167-2136-8, pp 128 and pp 151. This program is the inverse of the tsshannon program, and solves the equation: C(p) = 1 + p ln (p) + (1 - p) ln (1 - p) 2 2 where the optimal gain is calculated as 2^(C(p)), and f, the fraction of capital wagered, is 2p - 1. From Schroeder, pp 151: p = 0.55 2^(C(0.55)) = 0.005, (probably a typo, meaning 1.005) by this program, 2^C(0.550000) = 2^0.007226 = 1.005021 OPTIONS -v Print the version and copyright banner of the program. p Shannon probabililty. WARNINGS There is little or no provision for handling numerical exceptions. SEE ALSO tsderivative(1), tshcalc(1), tshurst(1), tsintegrate(1), tslogre- turns(1), tslsq(1), tsnormal(1), tsshannon(1), tsblack(1), tsbrown- ian(1), tsdlogistic(1), tsfBm(1), tsfractional(1), tsgaussian(1), tsin- tegers(1), tslogistic(1), tspink(1), tsunfairfractional(1), tswhite(1), tscoin(1), tsunfairbrownian(1), tsfraction(1), tsshannonmax(1), tschangewager(1), tssample(1), tsrms(1), tscoins(1), tsavg(1), tsXsquared(1), tsstockwager(1), tsshannonwindow(1), tsmath(1), tsavg- window(1), tspole(1), tsdft(1), tsbinomial(1), tsdeterministic(1), tsnumber(1), tsrmswindow(1), tsshannonstock(1), tsmarket(1), tsstock(1), tsstatest(1), tsunfraction(1), tsshannonaggregate(1), tsin- stant(1), tsshannonvolume(1), tsstocks(1), tsshannonfundamental(1), tstrade(1), tstradesim(1), tsrunlength(1), tsunshannon(1), tsroot- mean(1), tsrunmagnitude(1), tskurtosis(1), tskurtosiswindow(1), tsroot- meanscale(1), tsscalederivative(1), tsgain(1), tsgainwindow(1) tscauchy(1), tslognormal(1), tskalman(1), tsroot(1), tslaplacian(1) DIAGNOSTICS Error messages for incompatible arguments, failure to allocate memory, inaccessible files, and opening and closing files. AUTHORS ---------------------------------------------------------------------- A license is hereby granted to reproduce this software source code and to create executable versions from this source code for personal, non-commercial use. The copyright notice included with the software must be maintained in all copies produced. THIS PROGRAM IS PROVIDED "AS IS". THE AUTHOR PROVIDES NO WARRANTIES WHATSOEVER, EXPRESSED OR IMPLIED, INCLUDING WARRANTIES OF MERCHANTABILITY, TITLE, OR FITNESS FOR ANY PARTICULAR PURPOSE. THE AUTHOR DOES NOT WARRANT THAT USE OF THIS PROGRAM DOES NOT INFRINGE THE INTELLECTUAL PROPERTY RIGHTS OF ANY THIRD PARTY IN ANY COUNTRY. Copyright (c) 1994-2006, John Conover, All Rights Reserved. Comments and/or bug reports should be addressed to: john@email.johncon.com (John Conover) ---------------------------------------------------------------------- January 17, 2006 TSUNSHANNON(1)