Re: Exercise of Programming with Mathematica

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• Subject: [mg131869] Re: Exercise of Programming with Mathematica
• From: Ray Koopman <koopman at sfu.ca>
• Date: Sun, 20 Oct 2013 23:39:26 -0400 (EDT)
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```Instead of using ReplaceAll (/.), use Replace and specify the level.

In[1]:= Replace[{{a, b}, {c, d}}, {x_, y_} :> {y, x}, {1}]
Out[1]= {{b, a}, {d, c}}

In[2]:= Replace[{{a, b}, {c, d}}, {x_, y_} :> {y, x}, {0}]
Out[2]= {{c, d}, {a, b}}

----- Zhenyi Zhang <infozyzhang at gmail.com> wrote:
> Here is a rule designed to switch the order of each pair of expressions in a list.
> It works fine on the first example, but fails on the second.
> In[1]:= {{a, b}, {c, d}, {e, f}}/.{x_, y_} :> {y, x}
> Out[1]= {{b, a}, {d, c}, {f, e}}
> In[2]:= {{a, b}, {c, d}}/.{x_, y_} :> {y, x}
> Out[2]= {{c, d}, {a, b}}
> Explain what has gone wrong and rewrite this rule to correct the situation,
> that is, so that the second example returns {{b, a}, {d, c}}
>
> My solution is the most stupid one.
>
> {{a, b}, {c, d}}/.{{x_, y_}, {w_, t_}} :> {{y, x}, {t, w}}
>
> May I ask any elegant solutions?
>
> Thanks.

```

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