Path: utzoo!utgpu!news-server.csri.toronto.edu!cs.utexas.edu!uunet!zephyr.ens.tek.com!gvgpsa!calsci!jon
From: jon@calsci (Parallax & Red Shift)
Newsgroups: comp.ai.neural-nets
Subject: Re: Dynamic range of nodes
Message-ID: <0023@calsci>
Date: 28 Dec 90 05:28:34 GMT
Reply-To: calsci!jon@gvgpsa.gvg.tek.com (Parallax & Red Shift)
Followup-To: comp.ai.neural-nets
Organization: California Scientific Software
Lines: 21
News-Software: FSUUCP 1.1 Release 5

In article <0022@calsci>, calsci!jon@gvgpsa.gvg.tek.com (Parallax & Red Shift) writes:

>1/cosh(x)**2 is NOT equal to 2/(e**x + e**(-x)), but rather is equal to
>TWICE that quantity: 1/cosh(x)**2 = 4 / (e**x + e**(-x)).

Oops!  Now *I'm* making typos!  I meant, of course:

    1/cosh(x)**2 is NOT equal to 2/(e**x + e**(-x)), but rather is equal to
    the SQUARE of that quantity: 1/cosh(x)**2 = 4 / (e**x + e**(-x))**2.

    = 4 / (e**(2x) + e**(-2x) + 2)

I actually used the correct value later on in my post, so everything else
should still be cool.
---
Jon "J.D." "Parallax" Hartzberg, GSXR pilot           '86 GSXR1100  "Red Shift"
Cal. Sci. Software, Grass Valley CA     DoD #0220    '80 CB750F  "Ol' Flexible"
jon@calsci.gvgpsa.gvg.tek.com  OR ...!calsci!jon   '81 XL185S "SquirtintheDirt"
    "When you stop falling down, you stop learning." -Kenny Roberts
    "When I found out what fairings cost, I decided I'd learned enough!" -me
Disclaimer:    If my boss knew I was doing this he'd kill me.