Re: PlusMinus Operator Question
- To: mathgroup at smc.vnet.net
- Subject: [mg38392] Re: PlusMinus Operator Question
- From: bghiggins at ucdavis.edu (Brian Higgins)
- Date: Fri, 13 Dec 2002 04:10:32 -0500 (EST)
- References: <at9eaq$q7a$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Terry, Use a Repalcement rule:
va /. PlusMinus[x_, y_] -> PlusMinus[a x, a y]
{{4.1 a ± 0.057 a}, {-3.16 a ± 0.796 a}, {5.09 a ± 0.25 a}}
Cheers,
Brian
TerryH <tharter at attglobal.net> wrote in message news:<at9eaq$q7a$1 at smc.vnet.net>...
> Hi All:
> How can I get Mathematica 4.2 to do simple multipliction thru
> PlusMinus operators?
> For example, suppose I have a 3-dimensional vector with component
> tolerances specified:
>
> In[4]:= va = {{4.10 ± 0.057}, {-3.16 ± 0.796}, {5.09 ± .250}}
> Out[4]:=
> {{4.1\[PlusMinus]0.057},{-3.16\[PlusMinus]0.796},{5.09\[PlusMinus]0.25}}
>
>
>
> In[5]:= FullForm[va]
> Out[5]://FullForm=
>
> List[List[PlusMinus[4.1`,0.057`]],List[PlusMinus[-3.16`,0.796`]],
>
> List[PlusMinus[5.09`,0.25`]]]
>
> In[6]:= 5.2*va
> Out[6]:= {{5.2 (4.1\[PlusMinus]0.057)},{5.2
> (-3.16\[PlusMinus]0.796)},{5.2 (5.09\
> \[PlusMinus]0.25)}}
>
> However, what I want is (for the first component of the vector, va) is
> 5.2*4.1 ± (5.2*0.057)
> or, equivalently
> 21.32 ± 0.2964
>
> Is there a standard package to do this? I wasn't able to find anything
> of help in
> Section 1.10 or 3.10 of the Wolfram Reference. How does one assign
> meaning to the
> PlusMinus operator to do simple arithmetic calculations as shown above?
>
> Many thanks to all who may respond!
> ....Terry H