Problem 2. Consider the following CFG G-(V. Σ' R, S) where V-(S, U, W), Σ- {a,...
6. (20) Let G = (V, ∑, R, S) be a grammar with V = {Q, R, T}; ∑ = {q, r,ts}; and the set of rules: S→Q Q→q | RqT R→r | rT | QQr T→t | S| tT a. (5) Convert G to a PDA using the method we described. b. (15) Convert G to Chomsky normal form. 6. (20) Let G = (V, , R, S) be a grammar with V = {Q, R, T}; { =...
Let G = (V, S, R, S) be a grammar with V = {Q, R, T}; { = {q, r,ts}; and the set of rules: SQ Q→q RqT RIrTQQr T→t | ST a. (5) Convert G to a PDA using the method we described.
6.(20) Let G=(V, S, R, S) be a grammar with V = {Q, R, T}; { = {q, r,ts}; and the set of rules: SQ Qq RqT R~rrt Qor T>t | ST a. (5) Convert G to a PDA using the method we described. b. (15) Convert G to Chomsky normal form.
a. (5) Convert G to a PDA using the method we described. Let G = (V, S, R, S) be a grammar with V = {Q, R, T); = {q, r,ts); and the set of rules: SQ Q→ RqT R7r|rtQQr T→t | SIT a. (5) Convert G to a PDA using the method we described.
(20) Let G = (V, ∑, R, S) be a grammar with V = {Q, R, T}; ∑ = {q, r, ts}; and the set of rules: S → Q Q → q | RqT R → r | rT | QQr T → t | S| tT Convert G to a PDA.
Consider the grammar G = (V,Σ,R,E) with V = {E,T,F} and Σ = {a,+,∗,(,)}, having the rules E → E+T | T T → T∗F | F F → (E) | a Give leftmost derivations for each of the following: (a) a∗a+a∗a (b) a∗(a+a)∗a
4) Let Xi , X2, . . . , xn i id N(μ, σ 2) RVs. Consider the problem of testing Ho : μ- 0 against H1: μ > 0. (a) It suffices to restrict attention to sufficient statistic (U, v), where U X and V S2. Show that the problem of testing Ho is invariant under g {{a, 1), a e R} and a maximal invariant is T = U/-/ V. (b) Show.that the distribution of T has MLR,...
6. (5 points) Consider the context free grammar G = (V, E, R, S) where V is {S, A, B, a, b,c}, & is {a,b,c}, and R consists of the following rules: S + BcA S B +a → A S + b A+S Is this grammar ambiguous? swer. Justify your an-
Consider the points u(1, 1,-1), v (a, 2,-1) and w (1,2,-1) in R3, where a e R. There are two possible values of a for which u, v and w will form an isosceles triangle. a) Find one of these values. (b) Determine the angle between the equal sides of the triangle. Consider the points u(1, 1,-1), v (a, 2,-1) and w (1,2,-1) in R3, where a e R. There are two possible values of a for which u, v...
Problem 2 Ul Consider twovectors, v and u , where Vj,Uj are complex U2 numbers a. Find the conditions that ensure normalization for each of these vectors b. Write down explicitly the tensor product v&u as a four-component vector c. Consider a square matrix A acting on v and a square matrix B acting on u, show that (AS>B) (v u)-Au Bu Using Dirac notation for the vectors: v- |v), u-|u) d. Write down the normalization condition for each vector...