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[Axiom-developer] Re: A Collection of Algebraic Identities

From: TimDaly
Subject: [Axiom-developer] Re: A Collection of Algebraic Identities
Date: Sun, 7 Jun 2009 19:20:03 -0700 (PDT)
User-agent: G2/1.0

On Jun 4, 12:35 pm, address@hidden wrote:
> Hello all,
> Here's a nice identity:
> (p+q)^4 + (r-s)^4 = (p-q)^4 + (r+s)^4
> where {p,q,r,s} = {a^7+a^5-2a^3+a, 3a^2, a^6-2a^4+a^2+1, 3a^5}
> For similar stuff, you may be interested in "A Collection of Algebraic
> Identities":
> It's a 200+ page book I wrote and made available there.  It starts
> with the basics with 2nd powers and goes up to 8th and higher powers.
> Enjoy.
> - Titus

on page

In the section on Euler you state:

(x+1/x)^2 + (y+1/y)^2 = z^2

but you never give a value for z

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