Relations and Functions

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Across
  1. 4. function A function assigning multiple possible outputs for each input.
  2. 10. A function where every element in the co-domain has at least one pre-image in the domain.
  3. 12. Maintaining the order between elements during mapping.
  4. 14. A mapping allowing association in only one direction.
  5. 15. function A function assigning real numbers as output values.
  6. 18. Focusing on a specific set of input elements.
  7. 20. mapping A mapping connecting the first and last elements of a set.
  8. 21. Indicating consistent behavior and validity across its domain.
  9. 24. A relation preserving transitivity among its elements.
  10. 26. function A function where each element of the domain maps to a unique element of the co-domain.
  11. 29. The composition of a function with itself.
Down
  1. 1. A mapping connecting variables in a bi-directional way.
  2. 2. A function representing the reverse of a given function.
  3. 3. relation A relation where the subset is the empty set.
  4. 5. relation A relation where all domain elements relate to one co-domain element.
  5. 6. function A function defined by multiple sub-functions over different intervals.
  6. 7. notation A mathematical notation specifying a set using properties its members must satisfy.
  7. 8. The function derived by reversing the mapping of an original function.
  8. 9. A mapping connecting individual points in the domain and co-domain.
  9. 10. mapping A mapping allowing one element of the domain to relate to many elements in the range.
  10. 11. function A function not satisfying the injective (one-to-one) property.
  11. 13. An equation expressing a relation using one or more parameters.
  12. 16. A relation in which every element is related to itself.
  13. 17. relation A relation where multiple domain elements map to the same co-domain element.
  14. 19. matrix A matrix with non-negative eigenvalues.
  15. 22. mapping A mapping where a single input corresponds to multiple outputs.
  16. 23. A relation where the relationship is mirrored.
  17. 25. A function restricted to a specific set of output values.
  18. 27. limit Limit approaching a point from one specific direction.
  19. 28. element An individual element from the co-domain.