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Question | 1347 comments | Create New Account
Comments belong to whoever posts them. Please notify us of inappropriate comments.
Basic Taylor series is infinite...
Authored by: jesse on Monday, June 11 2012 @ 05:29 AM EDT
Basic Taylor series for computing trigonometric functions is infinite...

How far you go is up to the needs of the problem.

[ Reply to This | Parent | # ]

Question
Authored by: Anonymous on Monday, June 11 2012 @ 06:06 AM EDT
It can also be shown that software that may run into into infinite loops is also isomorphic to Turing machines. Partial recursive functions and lambda-calculus and Turing machines are all models of computations that may run into infinite loops and this is part of the same series of theorems of computation theory you allude to.
Not having studied computation theory or anything close, would the same apply to software that is deliberately one or more infinite loops (or repeatedly called via interrupts)? I am thinking of embedded software of which we have so much these days. A trivial example of what I am thinking about would be the software that runs your microwave oven. I.e., it's not ever expected to "return an answer" but it does continually do things (monitor for key presses, display digits, control hardware, etc).

[ Reply to This | Parent | # ]

  • Question - Authored by: PolR on Monday, June 11 2012 @ 08:52 AM EDT
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