From mboxrd@z Thu Jan 1 00:00:00 1970 Return-Path: Received: (majordomo@vger.kernel.org) by vger.kernel.org via listexpand id S1757818Ab2GLBP2 (ORCPT ); Wed, 11 Jul 2012 21:15:28 -0400 Received: from systemlinux.org ([79.140.41.46]:55549 "EHLO v3-1046.systemlinux.org" rhost-flags-OK-OK-OK-OK) by vger.kernel.org with ESMTP id S1756087Ab2GLBP1 (ORCPT ); Wed, 11 Jul 2012 21:15:27 -0400 X-Greylist: delayed 504 seconds by postgrey-1.27 at vger.kernel.org; Wed, 11 Jul 2012 21:15:26 EDT Date: Thu, 12 Jul 2012 03:08:04 +0200 From: Andre Noll To: Peter Zijlstra Cc: Paul Turner , linux-kernel@vger.kernel.org, Venki Pallipadi , Srivatsa Vaddagiri , Vincent Guittot , Nikunj A Dadhania , Mike Galbraith , Kamalesh Babulal , Ben Segall , Ingo Molnar , "Paul E. McKenney" , Morten Rasmussen , Vaidyanathan Srinivasan Subject: Re: [PATCH 09/16] sched: normalize tg load contributions against runnable time Message-ID: <20120712010804.GN32601@systemlinux.org> References: <20120628022413.30496.32798.stgit@kitami.mtv.corp.google.com> <20120628022414.30496.11931.stgit@kitami.mtv.corp.google.com> <1341431285.19870.15.camel@laptop> <1341575532.7709.47.camel@twins> MIME-Version: 1.0 Content-Type: multipart/signed; micalg=pgp-sha1; protocol="application/pgp-signature"; boundary="d1TbJDQJIIsIsPGO" Content-Disposition: inline In-Reply-To: <1341575532.7709.47.camel@twins> User-Agent: Mutt/1.5.20 (2009-06-14) Sender: linux-kernel-owner@vger.kernel.org List-ID: X-Mailing-List: linux-kernel@vger.kernel.org --d1TbJDQJIIsIsPGO Content-Type: text/plain; charset=utf-8 Content-Disposition: inline Content-Transfer-Encoding: quoted-printable On Fri, Jul 06, 13:52, Peter Zijlstra wrote: > This then yields: >=20 > P(\Union_{i=3D1..n} u_i) ~=3D \Sum_{k=3D1..n} (-1)^(k-1) (n choose k) u= ^k >=20 > Which unfortunately isn't a series I found a sane solution for, but > numerically (see below) we can see it very quickly approaches 1 when n > >> 1. Isn't this series just 1 - (1 - u)^n? So yes, it converges quickly to 1 if u is a probability. Andre --=20 The only person who always got his work done by Friday was Robinson Crusoe --d1TbJDQJIIsIsPGO Content-Type: application/pgp-signature; name="signature.asc" Content-Description: Digital signature Content-Disposition: inline -----BEGIN PGP SIGNATURE----- Version: GnuPG v1.4.10 (GNU/Linux) iEYEARECAAYFAk/+I3QACgkQWto1QDEAkw9MRQCgjbBcFHGJRWBBic4ujM6N4JGW 8XUAnj1cAp9ohrgVF0UnP1WKF5l7qyyy =4HL/ -----END PGP SIGNATURE----- --d1TbJDQJIIsIsPGO--