Path: utzoo!utgpu!news-server.csri.toronto.edu!rpi!usc!snorkelwacker.mit.edu!bloom-beacon!eru!hagbard!sunic!mcsun!ukc!tcdcs!dce.ie!em From: em@dce.ie (Eamonn McManus) Newsgroups: comp.compression Subject: Re: Hard to compress string (Was: theoretical compression factor) Message-ID: Date: 8 Apr 91 12:57:18 GMT References: <1991Apr4.230820.3941@bingvaxu.cc.binghamton.edu> <5299@ns-mx.uiowa.edu> Organization: Datacode Communications Ltd, Dublin, Ireland Lines: 14 jones@pyrite.cs.uiowa.edu (Douglas W. Jones,201H MLH,3193350740,3193382879) writes: >On a similar line, the sequence of decimal digits below will pass most >tests for randomness. I first encountered this sequence as an example >of a patently non-random digit stream that passes essentially every test >for randomness you can devise (short of knowing the algorithm). ... > 01234567891011121314151617181920212223242526272829303132333435363738394... At every position after the first, the digit 1 has occurred at least as often as any other digit. I would expect some tests to be able to detect this nonrandomness. , Eamonn