Calculate Me Back To Life
Across
- 2. We say that a is a ______ of X if (1). a ∈ X and (2). for all b ∈ X we have b ≤ a
- 7. Let m, n ∈ Z. A _______ _______ of m, n is an integer am + bn, for a, b ∈ Z. We write Zm + Zn to denote the set of linear combinations of m, n.
- 8. a ________ is a composite statement that is always false.
- 14. F=(mv^2)/r
- 15. Let (an) and (bn) be sequences of positive real numbers. Then if the Limit where n tends to infinity of bn/an is equal to K, where K ∈ R with K > 0, the ‘an has the same ____ __ _____ as bn.’
- 17. i = √−1.
- 18. We say that a is a minimum of X if (1). a ∈ X and (2). for all b ∈ X we have a ≤ b.
- 19. If a sequence (an) converges, then its limit is ______ .
- 20. The complex number z can be represented as a point in an (x, y) plane which is called an _____ ______ .
- 22. Two vectors are ______ if and only if they have the same magnitude and the same direction.
- 23. a + (b + c) = (a + b) + c
- 25. A sequence (an) is _______ _______ if an+1 ≤ an for all n ∈ N.
- 26. Two composite statements are ______ ______ if, given the same truth values for the simple statements, they give the same truth values for the composite statements.
- 27. An _____ is a whole number
Down
- 1. m/n.
- 3. A sequence (an) is _______ _______ if an+1 ≥ an for all n ∈ N.
- 4. The sum from n=1 to infinity of ax^(n-1)
- 5. Given a statement P ⇒ Q, the ________ of this statement is (not Q) ⇒ (not P).
- 6. F= -kΔx
- 9. √n.
- 10. The magnitude of a vector a is a non-negative scalar called the ______, written |a|.
- 11. A _______ is a composite statement that is always true, regardless of the truth values of the simple statements from which it is built.
- 12. Let m, n ∈ Z. We say that m, n are _____ if (m, n) = 1.
- 13. a + b = b + a
- 14. The reflection of the point z across the x axis is called the ____ _____ of z, given by z¯ = x − iy.
- 16. z = r cos θ + ir sin θ .
- 21. A ______ is a set of symbols (remember words are symbols) which form an assertion that is either true or false, but not both.
- 24. Given a statement P ⇒ Q, the ______ of this statement is Q ⇒ P.