From mboxrd@z Thu Jan 1 00:00:00 1970 Received: (from majordomo@localhost) by pauillac.inria.fr (8.7.6/8.7.3) id VAA22851; Thu, 28 Jun 2001 21:09:07 +0200 (MET DST) X-Authentication-Warning: pauillac.inria.fr: majordomo set sender to owner-caml-list@pauillac.inria.fr using -f Received: from concorde.inria.fr (concorde.inria.fr [192.93.2.39]) by pauillac.inria.fr (8.7.6/8.7.3) with ESMTP id VAA22824 for ; Thu, 28 Jun 2001 21:09:06 +0200 (MET DST) Received: from moutvdom00.kundenserver.de (moutvdom00.kundenserver.de [195.20.224.149]) by concorde.inria.fr (8.11.1/8.10.0) with ESMTP id f5SJ96913135 for ; Thu, 28 Jun 2001 21:09:06 +0200 (MET DST) Received: from [195.20.224.219] (helo=mrvdom03.kundenserver.de) by moutvdom00.kundenserver.de with esmtp (Exim 2.12 #2) id 15Fh9r-0008CW-00; Thu, 28 Jun 2001 21:08:55 +0200 Received: from [62.154.173.138] (helo=pc022.bln.elmeg.de) by mrvdom03.kundenserver.de with esmtp (Exim 2.12 #2) id 15Fh9E-0000ox-00; Thu, 28 Jun 2001 21:08:16 +0200 To: Vasilij Karpow Cc: caml-list@inria.fr Subject: Re: [Caml-list] Type inference problem References: <20010628172348.A24964@boblycat.com> From: Nils Goesche Date: 28 Jun 2001 21:08:08 +0200 In-Reply-To: <20010628172348.A24964@boblycat.com> Message-ID: User-Agent: Gnus/5.0808 (Gnus v5.8.8) Emacs/20.7 MIME-Version: 1.0 Content-Type: text/plain; charset=us-ascii Sender: owner-caml-list@pauillac.inria.fr Precedence: bulk Vasilij Karpow writes: > P.S. A bit offtopic. I suspect this mailing list is filled with > skilled mathematicians (and just intelligent people), and since > nobody i know was able to solve my problem, here it is: > http://algol.prosalg.no/~malc/moo.ps [.dvi|.pdf|.tex] Subtract g(n) on both sides. You'll get a system of linear equations which has g(0)...g(n) as solutions: M x = b, where M = (m_ij), m_ij = Binom(i, j) is a lower triangular matrix. It is possible to write down a closed expression for M^{-1}, although this might be a rather huge formula with many sum signs, I am not sure. Check some numeric text book. Cholesky might be of help, or maybe not; check some numeric text book. Regards, -- Nils Goesche "Don't ask for whom the tolls." PGP key ID 0x42B32FC9 ------------------- Bug reports: http://caml.inria.fr/bin/caml-bugs FAQ: http://caml.inria.fr/FAQ/ To unsubscribe, mail caml-list-request@inria.fr Archives: http://caml.inria.fr