Computer Scientist and Software Engineering professional with particular interests in formal methods and computer security. PH. D. in computer science entitled "The Logic of Trust". Semi-retired. Last full time post CTO of Silicon Safe Ltd. Currently visiting research fellow at the University of York department of computer science. Original degree "Computing and Cybernetics". Current interests in mixed signal processing techniques for audio and ultrasonic (think Bats!).

Re: Real Numbers

Reply posted 5 months ago (04/12/2021)
With reference to ‘seems’: In an earlier reply to me you referred to a ‘counter example’ posted below, which strongly suggests that you intend this to be...

Re: Real Numbers

Reply posted 5 months ago (04/11/2021)
In essence you are confusing two different notions - the number and the representation of the number. 0.999999... and 0.100000 are different representations of the...

Re: Real Numbers

Reply posted 5 months ago (04/06/2021)
But if this is meant to be a counter example then do exactly the same with .999... and you get 1, so where’s the counter example?

Re: Real Numbers

Reply posted 5 months ago (04/06/2021)
Hi Rick,The interesting idea behind the oval diagrams is that one can form a closure of the number system behind with successively stronger notions of closure....

Re: Real Numbers

Reply posted 6 months ago (04/04/2021)
Why stop there? Why not go on to the hyper reals? I.e the structure in which infinitesimal exis.

Re: Proof of Correlation Theorem for DFT

Reply posted 1 year ago (06/10/2020)
...

Re: OFF TOPIC: A Question About PI

Reply posted 2 years ago (07/01/2019)
You completely misunderstand the comment - it is not that 0 is a special value that needs to be excluded form your claim. Rather it is that 0 is the only value...

Re: OFF TOPIC: A Question About PI

Reply posted 2 years ago (07/01/2019)
Your claim ‘2’ is wrong - let’s do some aritmeticx = x + y => y = 0So obviously#sy = #s + y’ where y’ is y shifted to the right#s + y’ = #s =>...

Re: OFF TOPIC: A Question About PI

Reply posted 2 years ago (06/29/2019)
No

Re: OFF TOPIC: A Question About PI

Reply posted 2 years ago (06/29/2019)
The claim “If pi contains any number (digit sequence), and hence, if I can prove that the digit sequence of pi itself is contained within pi, then I have proven...

Re: OFF TOPIC: A Question About PI

Reply posted 2 years ago (06/27/2019)
When I replied earlier I thought I could see the ‘simple’ proof for finite sequences. I was wrong and the more I think about the proof the more I think it is...

Re: OFF TOPIC: A Question About PI

Reply posted 2 years ago (06/27/2019)
The answer is ‘no’ if  by contains a number you mean that you can find a sequence starting with the first digit of the number and continuing in the same way...
To work out the distance traveled you need to consider the motion of the centre of the circle B around A - this gives the travel length as 4 units.

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