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From: aglew@ccvaxa.UUCP
Newsgroups: net.math
Subject: Re: Question came up at a party
Message-ID: <7800001@ccvaxa>
Date: Sat, 25-Jan-86 12:38:00 EST
Article-I.D.: ccvaxa.7800001
Posted: Sat Jan 25 12:38:00 1986
Date-Received: Mon, 27-Jan-86 03:02:46 EST
References: <532@well.UUCP>
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Nf-ID: #R:well.UUCP:532:ccvaxa:7800001:000:329
Nf-From: ccvaxa.UUCP!aglew    Jan 25 11:38:00 1986


There is a formula that can encapsulate any finite set of formulae
Fi(x), i=1..n:   SIGMA (x-i).Fi(x).

It's like asking "what is the next number in the sequence N0..Ni"
- SIGMA (Nj.PI k<>j (x-Nk)) + Arb(x) evaluated at x=i+1,
with Arb() totally arbitrary.

But I probably never learnt the proper definition of "formula", did I?