Using rules inside Module or Block

Question

I have a rather long piece of code inside a Module, and I want to provide different parameters to the different pieces inside the Module. Lets call the inside expr, and the parameter(s) I would like to choose a. Then I would try something like this:

func[a_] := Module[{a1 = a},
expr /. {k -> a1};
]

expr is a rather long analytic expression depending on k, into which I want to plug different values a into. Well, long story short, the above approach doesn't work, as the rule is simply not applied inside the Module. I have also tried different variations of this and used Block, but non worked. Is there a way to make this work, by using rules?

I am fairly new to all this Module and Block business, so some help would be greatly appreciated!

Sorry, that was a typo. It is corrected in the above version. — Nils
– Nils, Commented May 4, 2019 at 6:56
Take a look at this function in the function repository: resources.wolframcloud.com/FunctionRepository/resources/… — Sjoerd Smit
– Sjoerd Smit, Commented May 4, 2019 at 8:17
expr /. k->a1 does not modify expr. Instead, it generates a new expression, which you need to assign to a new variable: newexpr = expr /. k->a1. — Roman
– Roman, Commented May 4, 2019 at 10:48

Jack LaVigne · Accepted Answer · 2019-05-05 00:41:50Z

1

Rules are applied within Module. For example:

func[a_] := Module[
  {
   a1 = a
   },
  1 + k + k^2 /. k -> a1
  ]

And then

func[1]
(* 3 *)

func[2]
(* 7 *)

However, the way you have stated the problem there is no need to use Rule at all.

As I understand your question you could simply write:

func2[k_] := 1 + k + k^2

and then

func2[1]
(* 3 *)

func2[2]
(* 7 *)

answered May 5, 2019 at 0:41

Jack LaVigne

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