       Re: Vectors,Norms and assumptions

• To: mathgroup at smc.vnet.net
• Subject: [mg82789] Re: Vectors,Norms and assumptions
• From: Szabolcs Horvát <szhorvat at gmail.com>
• Date: Wed, 31 Oct 2007 06:08:04 -0500 (EST)
• References: <fg6rjo\$e89\$1@smc.vnet.net> <fg722g\$jsf\$1@smc.vnet.net>

```Peter Breitfeld wrote:
> sapsi schrieb:
>> Hello,
>> I have a question in mathematica (actually 3).
>>
>> 1. Let v be v={av1,av2} , then Norm[v]=Sqrt[Abs[av1]^2 + Abs[av2]^2]
>> Q: How do indicate to mathematica that av1 and av2 belong to reals?
>>
>> 2. On a similar note, i have
>> n={an1,an2}
>> a={aa1,aa2}
>> (*an1,an2,aa1,aa2 are all reals*)
>> x=Norm[y(n-a)]
>>>> Sqrt[Abs[(-aa1 + an1) y]^2 + Abs[(-aa2 + an2) y]^2]
>> Once again, how do i indicate that y ,an1,an2,aa1,aa2 are reals?
>>
>> Thank you for your time and help.
>> Rgds
>> Bveo
>>
>>
>
> You could write a function
>
> RNorm[x_]:=Simplify[Norm[x]//.Abs[u]^2:>u^2]

Or, for as long as you (the OP) are working only with vectors, you could
define your own rnorm function as

rnorm = Sqrt[#.#]&

--
Szabolcs

```

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