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Round off error calculation example
07-23-2017, 12:24 PM (This post was last modified: 07-23-2017 12:34 PM by Csaba Tizedes.)
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RE: Round off error calculation example
(07-23-2017 10:16 AM)Gamo Wrote:  I came across this example...

A good discussion with a great example here: LINK

The example if Hungarian isn't your native: plot (1+1÷(2^n+1))^(2^(n+1)), n=0...50

The result on TI-83+: [Image: Simplification.jpg]

The estimation where simplification occurs: 1÷(2^N+1)=5×ALOG(-(B+1)), where N is the function calculated value changed to 1 (where round off error present) and B+1 is the internal digits of calculator. On TI83+: N~44.19 and B+1=14 (on the picture the beginning of the round-off shown, on the upper picture you can see, where and how the value changed to 1).


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Messages In This Thread
Round off error calculation example - Gamo - 07-23-2017, 10:16 AM
RE: Round off error calculation example - Csaba Tizedes - 07-23-2017 12:24 PM



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