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November 24th, 2013, 11:15 AM  #21 
Newbie Joined: Nov 2013 Posts: 10 Thanks: 0  Re: Zeroinfinity number arrangement based on number size.
of course it is an element of "undefined infinity", and it explains its idempotency, it is not a number at all (but yes element!) simply because numbers don't behave like a+ b = b; a= bb ; a=0; b=undefined But, tell me one thing, for example we have 2 functions y=x+2 and y=x; and we want to find difference between them at infinity. It is obvious that it will always be x+2  x = 2; but having x replaced with infinity we will have (inf+2  inf) and infinf=undefined and we don't get an answer. (you would probably send me to the theory of limits and etc. the thing i want to find out is why infinity was made this way, what was the reason for this?) 
November 24th, 2013, 04:31 PM  #22  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Zeroinfinity number arrangement based on number size. Quote:
 
November 25th, 2013, 11:18 AM  #23 
Newbie Joined: Nov 2013 Posts: 10 Thanks: 0  Re: Zeroinfinity number arrangement based on number size.
but 1 is defined. 11=0, 1/1=1 etc. i dont understand how simple operations over infinity can be undefined, how int the world lim(x>inf): xx would not be solved if x is substituted with infinity, when we know that all of the x'es are approaching the same infinite number. but wait sameness is expressed through x'es, thats why it always comes down to simplification of expressions, because it is much easier to work with variables than numbers, because x/x=1. and xx=0; no weird infinities and zeros) theres interesting thing: lets substitute 1 with 1e, like x is approaching 1 from the side of positive infinity, (e is still incredibly small value = 1/inf) 1e1 /(1e)^21 = e/12e+e^21 = e/2e+e^2 ; since e^2 is infinitely times smaller than e, it can be merged with 2e, => e/2e = 1/2; on the opposite side, dealing with infinity we can merge all lower powers of infinity up to the highest one. 9inf^2+3inf+3 = 9inf^2 
November 25th, 2013, 06:38 PM  #24  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Zeroinfinity number arrangement based on number size. Quote:
 
November 28th, 2013, 03:11 AM  #25 
Newbie Joined: Nov 2013 Posts: 10 Thanks: 0  Re: Zeroinfinity number arrangement based on number size.
Well, somehow i was unaware about it. I think you guys have given me enough answers to obsess on, thank you very much! 
November 28th, 2013, 07:01 PM  #26 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Zeroinfinity number arrangement based on number size.
Great, good luck!


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