Transformation Rules via AlgebraicRules

• To: mathgroup at yoda.ncsa.uiuc.edu
• Subject: Transformation Rules via AlgebraicRules
• From: Jack <uunet!sun.udel.edu!jack>
• Date: Fri, 13 Apr 90 18:01:33 EDT

```Can someone explain the following result.  I thought I would get the same
result using rule1 and rule2 below.

rule1 = x->t^(3/2)
rule2 = AlgebraicRules[x==t^(3/2),{x,t}]

exp = x^(5/4) + x + x^2 + x^3 + x^4

(1)     exp/.rule1
(2)     exp/.rule2

(1) gives the desired result....

3    15         9
-    --         -
2    8     3    2    6
Out[184]= t  + t   + t  + t  + t

while (2) gives

1
-
2    3    4                     4 5
General::newv: x + x  + x  + x  + `private`\$AuxVar[x ]
involves variables not among {x, `private`\$AuxVar[Sqrt[t]], t}.

3
-
2
Replace::rep: {t -> t, x -> t } encountered where lhs->rhs expected.

etc.,etc.

```

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