How to substitute the variables in StringForm to an expression/function

Question

I have some variables derived in StringForm. For example;

variables = StringForm["x=``,\[Delta]=``", 5, 10]

How to substitute the variables to an expression/function.

expr=\[Delta]*x];

 With[{variables}, expr//Evaluate]

When I evaluate the code, I get the following error:

How to solve the error, I want to get 50 as follows:

I think we should transform variables to a value (or plain ).

Answer 1

It was a learning experience.

---

With[{v = variables},
 Echo[v, "v="];
 Echo[ToString@v, "string @v="];
 Echo[StringSplit[ToString@v, ","], "SSp @v="];
 ToExpression@StringSplit[ToString@v, ","];
 Echo[x, "x="];
 Echo[\[Delta], "\[Delta]="];
 expr = x \[Delta]
 ]

Answer 2

It is not quite clear, what do you want to achieve. It is always helpful if in the question one formulates the result he needs to get.

I understood the question such that you want to transform the StringForm into the expression. Then after the evaluation Mma will know that x is 5 and Delta is 10. Is it right? If yes, try the following.

Step 1: let us form two strings

str1 = StringTake[ToString[variables], 3];
str2 = StringTake[ToString[variables], 5 ;; 8];

So far, str1 and str2 are strings

str1
str2

(*  "x=5"

"\[Delta]=10"  *)

One can check it:

Head[str1]

(*  String  *)

Step 2:
Now, it is easy to transform them into expressions:

ToExpression[str1]
ToExpression[str2]

(*  5

10  *)

Let us check if Mma "knows" the values of x and Delta:

x
\[Delta]


 
   (* 5
    
    10  *)

Edit

Step 3:

expr = \[Delta]*x;
With[{x = ToExpression[str1],
  \[Delta] = ToExpression[str2]}, expr]

(*  50  *)

Done.

Some explanations:

1. The construct With requires the Set statement within the curly braces. That is, With[{expr1=something1, expr2=something2}, expr3]. Your variable variables does not have a form of the Set statement. This is reported to you as an error message.

2. The variable variables has a head StringForm. Please check Head[variables]. It is a specific form to work with texts. Using variables with such a head for standard calculations is possible (as I have shown) but strongly complicates the code. I generally recommend another way around. That is, making calculations in a usual way with standard variables, and then transforming these variables into strings when needed.

Hope it helps. Have fun!