MATH 3200 PRACTICE PROBLEMS 1 In all of the following
... c) Show that A =⇒ B is logically equivalent to ∼ B =⇒ ∼ A in two different ways: (i) using a truth table, and (ii) using an argument in plain English. Solution: I did this in class, so I will leave it to you now. 6) True or false: Neither the inverse nor the converse of an implication is logically e ...
... c) Show that A =⇒ B is logically equivalent to ∼ B =⇒ ∼ A in two different ways: (i) using a truth table, and (ii) using an argument in plain English. Solution: I did this in class, so I will leave it to you now. 6) True or false: Neither the inverse nor the converse of an implication is logically e ...
the homology theory of the closed geodesic problem
... The description of the space of all closed curves on M. In [6] and [7] an algebraic description of homotopy problems via differential algebras and differential forms was given. The nature of this description is such that if a proferred formula for Λ(M) has the correct algebraic properties it must be ...
... The description of the space of all closed curves on M. In [6] and [7] an algebraic description of homotopy problems via differential algebras and differential forms was given. The nature of this description is such that if a proferred formula for Λ(M) has the correct algebraic properties it must be ...