Real Analysis Puzzle

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Across
  1. 3. is a branch of mathematical logic that studies sets, which informally are collections of objects
  2. 4. the set of all output values it may produce
  3. 6. of two sets is a new set that contains all of the elements that are in at least one of the two sets.
  4. 8. set is the unique set having no elements; its size or cardinality is zero.
  5. 11. denoted A', is the set of all elements in the given universal set U that are not in A
  6. 13. is the value that a function (or sequence) "approaches" as the input (or index) "approaches" some value
  7. 14. set of a set S is the set of all subsets of S, including the empty set and S itself
  8. 15. is series if the sequence of its partial sums tends to a limit
Down
  1. 1. is applying one function to the results of another
  2. 2. matrix is a matrix with the same number of rows and columns
  3. 3. is an enumerated collection of objects in which repetitions are allowed and order matters
  4. 5. A relation from a set of inputs to a set of possible outputs where each input is related to exactly one output
  5. 7. Is called one to one correspondence or invertible function
  6. 9. A set of numbers arranged in rows and columns so as to form a rectangular array
  7. 10. it is a subset of the Cartesian product. Or simply, a bunch of points (ordered pairs)
  8. 11. product between two sets and is the set of all possible ordered pairs with the first element from X and the second element from
  9. 12. if each element of the codomain is mapped to by at least one element of the domain