On 2015-5-11 17:21, Michael Orlitzky wrote:
The "e10" at the end is scientific notation. I don't know where
the 'e' came from, but I would guess it stands for "exponent"
and I would bet we use 'e' because there was no way to write
a superscript when hand-held calculators were invented.
O youth!
On 05/11/2015 03:40 PM, Selah Bryce wrote:
> Thank you. It gave me 9.13877574435632e10. What does that mean?
>
It means 9.13877574435632 times 10^10, or 91387757443.5632.
The "e10" at the end is scientific notation. I don't know where the 'e'
came from, but I would guess it stands for "exponent"
Thank you. It gave me 9.13877574435632e10. What does that mean?
On Monday, May 11, 2015 at 12:26:32 PM UTC-7, kcrisman wrote:
>
>
>> > How do you find the decimal that is equal to 7950734897590/87
>> >
>>
>> You don't say how many places you want. There are lots of ways if that
>> doesn't matte
>
>
> > How do you find the decimal that is equal to 7950734897590/87
> >
>
> You don't say how many places you want. There are lots of ways if that
> doesn't matter, for example 7950734897590/87.0
>
>
Or N(7950734897590/87) , assuming you haven't redefined N as N=10 or
something during the s
On Mon, May 11, 2015 at 3:15 PM, Selah Bryce wrote:
> How do you find the decimal that is equal to 7950734897590/87
>
You don't say how many places you want. There are lots of ways if that
doesn't matter, for example 7950734897590/87.0
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On 11/05/15 19:30, Phoenix wrote:
>
> The polynomial is 1296*x^24 - 20736*x^22 + 129600*x^20 - 393984*x^18 +
> 584496*x^16 - 362880*x^14 + 62208*x^12
>
> - Can SAGE find the gcd of a polynomial and its derivative?
http://sagemath.org/doc
[ignore the previous post]
The polynomial is 1296*x^24 - 20736*x^22 + 129600*x^20 - 393984*x^18 +
584496*x^16 - 362880*x^14 + 62208*x^12
- Can SAGE find the gcd of a polynomial and its derivative?
polygen(QQ)#What doe this do? What is QQ# ?
p = 1296*x^24 - 20736*x^22 + 129600*x^20 - 3
The polynomial is 1296*x^24 - 20736*x^22 + 129600*x^20 - 393984*x^18 +
584496*x^16 - 362880*x^14 + 62208*x^12
- Can SAGE find the gcd of a polynomial and its derivative?
polygen(QQ)#What doe this do? What is QQ# ?
p = 1296*x^24 - 20736*x^22 + 129600*x^20 - 393984*x^18 + 584496*x^16 -
Of course if it isn't square free, you can fix that by dividing the
polynomial with the greatest common divider of the polynomial and it's
derivative.
man. 11. maj 2015 kl. 12.54 skrev Dima Pasechnik :
> well, you didn't paste the correct polynomial:
> (the least degree is 12, not 1).
> so one ge
well, you didn't paste the correct polynomial:
(the least degree is 12, not 1).
so one gets
sage: for (q,n) in p.squarefree_decomposition():
: print q.degree(), n, gp.polsturm(q)
:
8 1 8
2 2 2
1 12 1
which gives you 11 real roots, just as computed by .roots()
Right, I forgot
On 11/05/15 07:43, Phoenix wrote:
>
> 1296*x^24 - 20736*x^22 + 129600*x^20 - 393984*x^18 + 584496*x^16 -
> 362880*x^14 + 62208*x
For the number of real roots, you can use PARI/GP (but your polynomial
needs to be square free)
sage: x = polygen(QQ)
sage: p = 1296*x^24 - 20736*x^22 + 129600*x^20 -
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