On Saturday, September 21, 2024 at 1:38:37 AM UTC-6 Russell Standish wrote:

On Fri, Sep 20, 2024 at 09:50:46PM -0700, Alan Grayson wrote: 
> 
> 
> On Friday, September 20, 2024 at 10:39:20 PM UTC-6 Russell Standish 
wrote: 
> The term comes from an expected step change where technology starts to 
> advance hyperbolically rather than exponentially like it has been 
> doing since Ogg smashed rocks together. Hyperbolic growth reaches 
> infinity in a finite amount of time. 
> 
> 
> That's impossible. AG 
>   

It's mathematics! 

https://en.wikipedia.org/wiki/Hyperbolic_growth


You're misinterpreting the mathematics.  E.g., 1/x becomes  arbitrarily 
large as x --> 0,  but the function is undefined at x=0.  So, if you're 
considering something physical, at x=0, you can't get there, and certainly 
not in a finite amount of time. AG

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Dr Russell Standish Phone 0425 253119 (mobile) 
Principal, High Performance Coders [email protected] 
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