Replacing of variables but not subscripts

Question

It's an extremely brief question. I want to replace all variables in an expression to another ones, say $x \rightarrow y$. But the command

x + Subscript[a, x] /. x -> y

replaces also the subscript. How can I do replacements while leaving the Subscript object unchanged?

Carl Woll · Accepted Answer · 2018-04-11 19:19:47Z

4

When you want to do replacements with a pattern that shouldn't be changed, I like to use multiple replacement rules (as in this answer):

ReplaceAll[
    x + Subscript[a, x],
    {
        s_Subscript :> s, (* pattern to avoid *)
        x -> y
    }
]

y + Subscript[a, x]

answered Apr 11 '18 at 19:19

Carl Woll

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1

$\begingroup$ Thanks. It's bit more general solution, thus it suits me better then the answer above. $\endgroup$ – Artem Zefirov Apr 11 '18 at 19:36
1

$\begingroup$ It may be worth quoting the documentation to explain why this works: "The first rule that applies to a particular part is used; no further rules are tried on that part or on any of its subparts." $\endgroup$ – Alan Apr 12 '18 at 1:46

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Henrik Schumacher · Accepted Answer · 2018-04-11 18:13:21Z

1

It's an extremely brief answer:

x + Subscript[a, x] /. Subscript[a_, x] :> Subscript[a, z] /. {x -> y, z -> x}

answered Apr 11 '18 at 18:13

Henrik Schumacher

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$\begingroup$ Thanks. Could you clarify briefly whether the command x + Subscript[a, x] /. Subscript[a, x] -> Subscript[a, z] /. {x -> y, z -> x} is wrong. That is, can we replace function-like notation a_ with a, and delayed reduce :> with a simple reduce symbol -> ? $\endgroup$ – Artem Zefirov Apr 11 '18 at 18:55
$\begingroup$ It works but only for subsripts of a. So, it does not work for Subscript[b_, x], for example. $\endgroup$ – Henrik Schumacher Apr 11 '18 at 18:57
$\begingroup$ Anyway, your answer is witty. I thought, that there should be something more straightforward. $\endgroup$ – Artem Zefirov Apr 11 '18 at 19:03

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2 Answers 2