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(I did not know how to write this properly. Excuse me for that.)

For[x = 0.1, x < 3.5, x = x + 0.1,
 
 For[i = 1, i < 4, i++,

  If[y1[[i]] != 0, 
   s1 = k^2 + (d - ((g1^2)*y1[[i]]/wm))^2 + 2*k*gm + wm^2; 
   s2 = (k^2 + (d - ((g1^2)*y1[[i]]/wm))^2)*gm + 2*k*wm^2; 
   s3 = (k^2 + (d - ((g1^2)*y1[[i]]/wm))^2)*(wm^2) - (d - (g1^2*
          y1[[i]]/wm))*wm*(g1^2)*(2*y1[[i]]), Continue[]];

Here in place of Continue I want to go back to my inner loop ,i.e , if this If is not satisfied I want the inner for loop to run again. Thank you for the help.

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there are several things wrong:

  • The "Continue[]" is not needed

  • You need 2 closing brackets at the end.

  • y1 should be a vector with values. y[[1]],y[[2]], y[[3] are not specified

  • I added two print statement in order that you can see what is going on

    y1 = {1, 0, 2};

    For[x = 0.1, x < 3.5, x = x + 0.1, For[i = 1, i < 4, i++,

    Print["{x,i}=", {x, i}];
    
    If[y1[[i]] != 0,
     Print["inside inner loop"]; 
     s1 = k^2 + (d - ((g1^2)*y1[[i]]/wm))^2 + 2*k*gm + wm^2;
     s2 = (k^2 + (d - ((g1^2)*y1[[i]]/wm))^2)*gm + 2*k*wm^2;
     s3 = (k^2 + (d - ((g1^2)*y1[[i]]/wm))^2)*(wm^2) - (d - (g1^2*
            y1[[i]]/wm))*wm*(g1^2)*(2*y1[[i]])]]]
    
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