Modern Analysis and Its Applications

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Across
  1. 3. W is called if x+ y ∈ W whenever x, y ∈ W, and αx ∈ W whenever x ∈ W, α ∈ C
  2. 5. If a sequence is monotone and bounded, then it is
  3. 7. we call f when f(X) = Y , we say that the function f is from X to Y
  4. 9. objects that together make up a particular set
  5. 12. rules(X ∪ Y = Y ∪ X and X ∩ Y = Y ∩ X)
  6. 13. A one-to-one function is also said to be
Down
  1. 1. the set of elements that do not belong to set
  2. 2. rules(X∪(Y ∩Z)=(X∪Y )∩(X∪Z) and X∩(Y ∪Z)=(X∩Y )∪(X∩Z)
  3. 4. A set S (subset of a set X if S ⊆ X, but S != X)
  4. 6. a composite mapping A ◦ N, where N : N → N is any mapping with the property that if i, j ∈ N and i<j then N(i) < N(j)
  5. 8. if two sets X and Y have no elements in common, they are called
  6. 10. we call y, if (x, y) ∈ f for some function f : X → Y and some x ∈ X
  7. 11. the set X the of the function f : X → Y is called