On 03/27/2018 03:11 PM, William Stein wrote:
> 
> Sorry -- I'm not trying to flamebait you, but in order to have any
> further discussion,  what exactly do you think a floating point number
> in a computer is?
> What is the mathematical meaning of
> 
>>>> float(1)
> 

The thread was about casual users, who shouldn't have to care about the
implementation details behind what "0.5" means. To a casual user, 0.5 is
one-half. I didn't bring this up to fight about by pet bug again, but
because of the similarity between this and the fact that 12/4 is not
three. Casual users don't want to hear about the coercion framework,
categories, maps and what-not -- they just want to be able to put in
trivial homework problems and get out the right answers.


>> Can two equal matrices have different ranks?
> 
> Yes, e.g.,
> 
> X = matrix(GF(3),[0])
> Y = matrix(ZZ,[3])
> [X == Y, X.rank(), Y.rank()]
> 
> --> [True, 0, 1]
> 

But will MATLAB tell you that two equal matrices have different ranks? I
know sage will do it.

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