DISCRETE STRUCTURES

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Across
  1. 4. Denoted by A_down_B, is the set of all elements which are in at least A or B.
  2. 7. (A_DOWN_B)*C=A*C_UP_B*C
  3. 10. Some texts denote the of relation R and S by SoR rather than RoS.
  4. 13. The set of sets or collection of sets.
  5. 14. The set of all elements.
  6. 15. The "=" is used to denote if two sets are ___ ____.
  7. 18. If they have no elements in common.
  8. 19. The set of all subsets.
  9. 21. If they have exactly the same number of elements.
  10. 22. Enclosed in braces {}.
  11. 26. The given elements are limited or countable.
  12. 27. A_DOWN(B_DOWN_C)=(A_DOWN_B)_DOWN_C
  13. 28. Consist of those elements which belong to A and to B but not to both A and B.
  14. 29. A_DOWN_B=B_DOWN_A
  15. 30. A is a ____ ___ of B, denoted by "A<B" if A_<-_B and A_not=_B.
  16. 31. Defined as the set of all ordered pairs.
  17. 33. A_DOWN_NOT O=A
  18. 34. A set whose elements unlimited.
  19. 36. Set of all possible elements under consideration.
  20. 38. A set containing no objects or elements.
  21. 39. Nothing but geometrical representations of relations.
Down
  1. 1. Given by the symbols.
  2. 2. Given by bR-1 a if and only if aRb.
  3. 3. The set of all right components of the elements of R.
  4. 5. The elements of a set are listed or enumerated.
  5. 6. The set of elements which belongs to the universal set.
  6. 8. A=B, if and if only A_<-_B and B_<-_A.
  7. 9. A_DOWN(B_UP_C)=(A_DOWN_B)UP(A_DOWN_C)
  8. 11. (A*C)*C=A
  9. 12. Set of counting numbers is the smallest number common to all the sets of multiples of the given number.
  10. 16. The set of elements which belongs to A but which does not belong to B.
  11. 17. A_DOWN_A=A
  12. 20. If A is a subset of B, then, we can say that B is a _______ of A, and wtite B_->_ A.
  13. 23. A set with only one element.
  14. 24. Use to defined the elements of the set.
  15. 25. If they are disjoint and if when combined collectively they form the universal set.
  16. 32. Denoted by A_<-_ B, if every element of A is contained in B.
  17. 35. A_DOWN_A*C=U
  18. 37. The set of all left components of the elements of R.