Re: WinXP and Mathematica 2.2.3.2
- To: mathgroup at smc.vnet.net
- Subject: [mg45303] Re: WinXP and Mathematica 2.2.3.2
- From: drbob at bigfoot.com (Bobby R. Treat)
- Date: Mon, 29 Dec 2003 00:22:10 -0500 (EST)
- References: <bsjlkb$252$1@smc.vnet.net> <bsmaea$d9k$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Under Mathematica 5.0, it goes like this:
Assuming[1 > y > 0 &&
1 > z > 0, Integrate[
Sqrt[(3 - (x + y + z))/
(1 + x + y + z)],
{x, 0, 1}]]
-Sqrt[(-(-3 + y + z))*
(1 + y + z)] +
Sqrt[4 - y^2 - 2*y*z -
z^2] - 4*ArcSin[
(1/2)*Sqrt[2 - y - z]] +
4*ArcSin[(1/2)*Sqrt[
3 - y - z]]
Assuming[0 < z < 1,
Integrate[%, {y, 0, 1}]]
(1/2)*(-8*Sqrt[4 - z^2] -
2*z*Sqrt[4 - z^2] +
5*Sqrt[3 - 2*z - z^2] +
z*Sqrt[3 - 2*z - z^2] +
3*Sqrt[3 + 2*z - z^2] +
z*Sqrt[3 + 2*z - z^2] +
4*ArcCos[z/2] -
4*ArcCos[(1 + z)/2] -
8*ArcCsc[2/Sqrt[1 - z]] -
8*z*ArcCsc[
2/Sqrt[1 - z]] +
8*ArcCsc[2/Sqrt[2 - z]] +
16*z*ArcCsc[
2/Sqrt[2 - z]] -
8*z*ArcCsc[2/Sqrt[3 - z]])
Integrate[%, {z, 0, 1}]
8 - 9*Sqrt[3] + (8*Pi)/3
N[%]
0.7891231414528868
NIntegrate[NIntegrate[
NIntegrate[Sqrt[
(3 - (x + y + z))/
(1 + x + y + z)],
{x, 0, 1}], {y, 0, 1}],
{z, 0, 1}]
0.7891231413365837
Bobby
vb at cybertester.com (Vladimir Bondarenko) wrote in message news:<bsmaea$d9k$1 at smc.vnet.net>...
> "Sieghard Seyrling" <sseyrlin at student.ethz.ch> wrote in message news:<bsjlkb$252$1 at smc.vnet.net>...
> > Hi!
> > Just one question: is it possible to run Mathematica 2.2.3.2 under Windows
> > XP Home Edition???
>
>
> Enjoy Mathematica 2.2 under Windows XP!
>
>
> In[1] := $Version
>
> Out[1] = Windows 387 2.2 (April 9, 1993)
>
> In[2] := Integrate[Integrate[Integrate[Sqrt[(3 - (x + y + z))/\
> (1 + x + y + z)], {x, 0, 1}], {y, 0, 1}], {z, 0, 1}]
>
> Out[2] = (16 - 9*3^(1/2) - 2*Pi)/3 + (2*(4 - 9*3^(1/2) + 5*Pi))/3
>
> In[3] := N[%]
>
> Out[3] = 0.789123
>
> In[4] := NIntegrate[NIntegrate[NIntegrate[Sqrt[(3-(x+y+z))/\
> (1 + x + y + z)], {x, 0, 1}], {y, 0, 1}], {z, 0, 1}]
>
> Out[4] = 0.789123
>
>
> Cheers,
>
> Vladimir Bondarenko
>
> http://www.cybertester.com/
> http://maple.bug-list.org/
> http://www.CAS-testing.org/
>
> ..................................................................