Re: Capability of Mathematica

• To: mathgroup at smc.vnet.net
• Subject: [mg29916] Re: Capability of Mathematica
• From: "Orestis Vantzos" <atelesforos at hotmail.com>
• Date: Wed, 18 Jul 2001 02:08:55 -0400 (EDT)
• Organization: National Technical University of Athens, Greece
• References: <9j05d7\$ese\$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```Mathematica can integrate numerically, if that is what you are asking.
Will it be fast,accurate, etc... well it depends on your programming skills
and the specifics of your problem. Noone can really tell without attempting
Orestis

"Titus Cheung" <titus at ieee.org> wrote in message
news:9j05d7\$ese\$1 at smc.vnet.net...
> Hello,
>
> Just wondering how well can Mathematica solve this equation I have before
I
> pay the price.
> The equation goes as follow:
> Integrate(phi:0->2pi){Integrate(theta:0->pi){Term1+Term2+.....+Term31
> d_theta}d_phi}
>
> There are a total of 31 terms as illustrated above in 2 integrals over a
> sphere like object.
> Each of the term is like the following one:
>
> Term 3 = a*b with,
> a =
>
exp(j*beta*(0.8*lambda*cos(2)*sin(135)+1.6*lambda*cos(2)*sin(135)+0.8*lambda
> *cos(2)))
> b =
>
exp(-j*beta*(0.8*labmda*cos(phi)*sin(theta)+1.6*lambda*sin(phi)*sin(theta)+0
> ..8*lambda*cos(theta)))
>
> So it's a really long doble integral of 31 terms, with a multiplication of
2
> exponentials per term.  I can enter this in symbolic form, can't I?  How
> fast and accurate will the solution be?  The answer will be numerical as
> it's definite closed integral with specific limits.
>
> Thanks
> Titus
>
>
>

```

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