On Thu, 30 Oct 2008 20:49:33 -0700 (PDT)
pong <[EMAIL PROTECTED]> wrote:
>
>
> I plot both ln(|x|) and 1/x on the same graph and try to label them by
>
> t1=text('$\frac{1}{x}$', (1,4), fontsize=14, rgbcolor='red');
> t2=text('$\ln(|x|)$', (1,5), fontsize=14)
>
> While SAGE understand perfect
It works. Thanks.
On Oct 31, 1:15 am, Burcin Erocal <[EMAIL PROTECTED]> wrote:
> On Thu, 30 Oct 2008 20:49:33 -0700 (PDT)
>
>
>
> pong <[EMAIL PROTECTED]> wrote:
>
> > I plot both ln(|x|) and 1/x on the same graph and try to label them by
>
> > t1=text('$\frac{1}{x}$', (1,4), fontsize=14, rgbcol
Hello sage gurus,
Using sage to check a manually calculated integral :
sage: var('r,h')
(r, h)
sage: integrate(r/sqrt(r^2 - sqrt(2)*h*r + h^2), r, 0, sqrt(2)
*h).factor()
sqrt(2)*arcsinh(1)*h
My manual result (using an old table of integrals) was sqrt(2)*ln(sqrt
(2)+1)*h
So, wondering whethe
On Fri, Oct 31, 2008 at 12:57 PM, Jim Clark
<[EMAIL PROTECTED]> wrote:
>
> Hello sage gurus,
>
> Using sage to check a manually calculated integral :
>
> sage: var('r,h')
> (r, h)
> sage: integrate(r/sqrt(r^2 - sqrt(2)*h*r + h^2), r, 0, sqrt(2)
> *h).factor()
> sqrt(2)*arcsinh(1)*h
>
> My manual r
William Stein wrote:
> On Fri, Oct 31, 2008 at 12:57 PM, Jim Clark
> <[EMAIL PROTECTED]> wrote:
>> Hello sage gurus,
>>
>> Using sage to check a manually calculated integral :
>>
>> sage: var('r,h')
>> (r, h)
>> sage: integrate(r/sqrt(r^2 - sqrt(2)*h*r + h^2), r, 0, sqrt(2)
>> *h).factor()
>> sqrt
arcsinh(x) = log(1+sqrt(1+x^2)), I seem to remember. [Proof: exercise]
John Cremona
2008/10/31 William Stein <[EMAIL PROTECTED]>:
>
> On Fri, Oct 31, 2008 at 12:57 PM, Jim Clark
> <[EMAIL PROTECTED]> wrote:
>>
>> Hello sage gurus,
>>
>> Using sage to check a manually calculated integral :
>>
>>
Thanks to all. Your responses have been helpful.
Jim
On Oct 31, 2008, at 1:51 PM, John Cremona wrote:
>
> arcsinh(x) = log(1+sqrt(1+x^2)), I seem to remember. [Proof:
> exercise]
>
> John Cremona
>
> 2008/10/31 William Stein <[EMAIL PROTECTED]>:
>>
>> On Fri, Oct 31, 2008 at 12:57 PM, Jim Cla
Hi,
I've created a brand new sagenb.org VMware virtual machine. It's
state is the same as the sagenb.org
virtual when it is was fork bombed.
The main difference is that now:
1. It is running in a VMware virtual machine on my desktop. The
virtual machine
has 2GB RAM, 10GB swap, and 4
