On Tue, Mar 27, 2018 at 9:57 PM, Michael Orlitzky wrote:
> 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 mathematica
On 27/03/2018 20:54, Michael Orlitzky wrote:
On 03/27/2018 12:22 PM, William Stein wrote:
There are similar examples in MATLAB, involving rational numbers,
implicit floating point, etc.
Does multiplication by a positive scalar change the rank of a matrix?
Can two equal matrices have differen
On Tuesday, 27 March 2018 18:03:48 UTC-6, saad khalid wrote:
>
> Why not assume by default that when someone enters a floating point
> number, they intend it as a member of QQ, at least in this case.
>
It may be an interesting option to have similar to "automatic_names". It
may also be nice to
On Tuesday, 27 March 2018 13:57:12 UTC-6, Michael Orlitzky wrote:
>
> But will MATLAB tell you that two equal matrices have different ranks? I
> know sage will do it.
>
A few years back it could give you completely different eigenvalues for a
matrix and its transposition. There are presumably m
On Tuesday, March 27, 2018 at 2:57:12 PM UTC-5, Michael Orlitzky wrote: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 o
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 us
On Tue, Mar 27, 2018 at 11:54 AM, Michael Orlitzky wrote:
> On 03/27/2018 12:22 PM, William Stein wrote:
>>
>> There are similar examples in MATLAB, involving rational numbers,
>> implicit floating point, etc.
>>
>
> Does multiplication by a positive scalar change the rank of a matrix?
> Can two e
On 03/27/2018 12:22 PM, William Stein wrote:
>
> There are similar examples in MATLAB, involving rational numbers,
> implicit floating point, etc.
>
Does multiplication by a positive scalar change the rank of a matrix?
Can two equal matrices have different ranks?
(I'm willing to entertain the i
On Tue, Mar 27, 2018 at 9:21 AM Michael Orlitzky
wrote:
> On 03/27/2018 12:18 PM, William Stein wrote:
> >
> > I don’t consider that a bug.
> >
>
> I know, but ask anyone without a PhD in math.
>
There are similar examples in MATLAB, involving rational numbers, implicit
floating point, etc.
--
On 03/27/2018 12:18 PM, William Stein wrote:
>
> I don’t consider that a bug.
>
I know, but ask anyone without a PhD in math.
--
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On Tue, Mar 27, 2018 at 8:40 AM Michael Orlitzky
wrote:
> On 03/27/2018 03:07 AM, Ralf Stephan wrote:
> > Hello,
> > I thought I'd try Sage for a casual computation.
>
> My favorite bug from when I was an undergrad...
>
> sage: B = matrix([[ -3, 2, 1 ],
> : [ 2,-4, 4 ],
> .
On 03/27/2018 03:07 AM, Ralf Stephan wrote:
> Hello,
> I thought I'd try Sage for a casual computation.
My favorite bug from when I was an undergrad...
sage: B = matrix([[ -3, 2, 1 ],
: [ 2,-4, 4 ],
: [ 1, 2,-5 ]])
sage: B.rank()
2
sage: (0.5*B).rank(
Hello,
I thought I'd try Sage for a casual computation. I was interested in which
numbers of the form (2^n - (-1)^n)/3 are prime. I first tried out n=23:
sage: (2^23+1)/3
2796203
sage: _.is_prime()
False
sage: factor(2796203)
2796203
It turns out that Rational.is_prime does not exist and the fal
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