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Re: Manipulation of equations and inequalities in "high-school style"
*To*: mathgroup at smc.vnet.net
*Subject*: [mg19574] Re: Manipulation of equations and inequalities in "high-school style"
*From*: hanson.nospam at physics.auburn.edu (James D Hanson)
*Date*: Wed, 1 Sep 1999 23:07:06 -0400
*Organization*: Auburn University Physics
*References*: <7q9hdf$o62@smc.vnet.net>
*Sender*: owner-wri-mathgroup at wolfram.com
In article <7q9hdf$o62 at smc.vnet.net>, silvano at iprolink.ch (Silvano
D'Orazio) wrote:
> Does anybody know a Mathematica (3 or 4) package which allows
> manipulaton of equations and inequalities like high-school students
> are supposed to do?
>
> For example
>
> 2x+a = x-b subtract a
> 2x = x-b-a divide by 2, subtract x
> x = -b-a
>
> or
>
> (2^x-1)^(1/2) = 5b log both sides
> (1/2)(x-1)log2 = log5 + logb multiply by 2, divide by log2
>
>
> 2(log5 + logb) add 1
> x-1 = --------------
> log2
>
> and so on.
>
> I think I saw such a notebook or package some years ago, but I am not
> able to find it any more.
> I think I am not the only teacher who would find this very useful.
> Thanks for all hints.
>
> Silvano D'Orazio
>
>
>
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Three extra bits you need, == instead of = for equations; Map to do
something to both sides of the equation; and functions (the things you
actually do).
In[1]:= ? Map
"Map[f, expr] or f /@ expr applies f to each element on the first level in \
expr. Map[f, expr, levelspec] applies f to parts of expr specified by \
levelspec."
In[2]:= eq1 = (2 x + a == x - b)
Out[2]= a+2 x==-b+x
In[3]:= eq2 = Map[#-a &,eq1]
Out[3]= 2 x==-a-b+x
In[4]:= eq3 = Map[#-x &,eq2]
Out[4]= x==-a-b
--
James D. Hanson ph. (334) 844-5044
Department of Physics fax (334) 844-4613
206 Allison Laboratory
Auburn University, AL 36849-5311 hanson.nospam at physics.auburn.edu
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