In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.

Example Input: 5, 10, ['3907', '1629', 'v', '6711', '8347', 'E', '4067', 'T', '1665', '5735', '4879']
Example Output: 19814

Example Input: 1, 5, ['5057', 'Z', 'a', '4561', '225', '6921', 'T', '4033', '1259', '9805', 'l', '5641']
Example Output: 9843

Example Input: 6, 6, ['2075', '4835', 'm', 'm', '4765', 'Z', 'N', '6641', '2291', '1699', '6449', 'i', 'm', '4775', '5695', 'k', 'j', '3057', '2293', '7011']
Example Output:
0