Re: Factor, Expand. Daytime Hours.

• To: mathgroup at smc.vnet.net
• Subject: [mg32315] Re: Factor, Expand. Daytime Hours.
• From: "Allan Hayes" <hay at haystack.demon.co.uk>
• Date: Sat, 12 Jan 2002 21:32:33 -0500 (EST)
• References: <a1p2gh\$6vq\$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```Mathtias,

Factor[a^2+b^2, Extension->{I}]

(a- I b) (a+ I b)

--
Allan

---------------------
Allan Hayes
Mathematica Training and Consulting
Leicester UK
www.haystack.demon.co.uk
hay at haystack.demon.co.uk
Voice: +44 (0)116 271 4198
Fax: +44 (0)870 164 0565

<Matthias.Bode at oppenheim.de> wrote in message
news:a1p2gh\$6vq\$1 at smc.vnet.net...
> Dear Colleagues,
>
> once again I am doing maths with my son and in doing so we look for more
> solutions to the textbook problems after having solved them using our
> built-in biochemical processors.
>
> So:
> 1.
> Factor[a^2 - b^2] yields - predictably -
>
> (a - b)*(a + b).
>
> The question "what yields the factorization of a^2 + b^2" is not
> far-fetched.
>
> How can I coax MATHEMATICA into giving: (a - I*b)*(a + I*b)?
> Are there more "simple" solutions of the same structure (... - ...)*(... +
> ...) or some wizardry like (... + or - ...)^t, where t is some composite
> expression ?
>
> 2.
> Where can I find the function that gives the daytime hours between sunrise
> and sunset as a function of date and latitude?
>
> Thank you for your help.
>
> Best regards,
>
> Matthias Bode
> Sal. Oppenheim jr. & Cie. KGaA
> Koenigsberger Strasse 29
> D-60487 Frankfurt am Main
> GERMANY
> Tel.: +49(0)69 71 34 53 80
> Mobile: +49(0)172 6 74 95 77
> Fax: +49(0)69 71 34 95 380
> E-mail: matthias.bode at oppenheim.de
> Internet: http://www.oppenheim.de
>
>

```

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