U = {q, r, s, t, u, v, w, x, y, z}, find the computer representation for these sets;
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- ∑ = {C,A,G,T}, L = { w : w = CAjGnTmC, m = j + n }. For example, CAGTTC ∈ L; CTAGTC ∉ L because the symbols are not in the order specified by the characteristic function; CAGTT ∉ L because it does not end with C; and CAGGTTC ∉ L because the number of T's do not equal the number of A's plus the number of G's. Prove that L ∉ RLs using the RL pumping theorem.Question 1: Draw the Venn Digrams for the following combincations of the sets X, Y and Z: (c) (XnY)u(Ynz) (d) (X - Y - Z) (a) Xn (Ynz) (b) Xn (Y - Z)Computer Science Compute the DFT of the vector x = [0, 1, 2, 3, 4, 5] by running FFT(x) using any software tool such as matlab.
- Use the Pumping Lemma to show the following language L is NOT regular. L= {w E (a, b, c}* ; where w has equal number of a's, b's, and c's}29 of 40 Suppose R(A, B, C) contains the tuples {(a1,b1,c1), (a2,b1,c1), (a3,b1,c1), (a2, b2, c2) (a3,b3,c3), (a4,b3,c3), (a5,b5,c5), (a6,b5,c5)} and S(B, C, D, E) contains the tuples {(b1,c1,d1,e1),(b1,c1,d1,e2), (b2,c2,d2,e2), (b3,c3,d3,e3), (b3,c3,d4,e4), (b6,c6,d1,e1)} The following SQL query will return how many tuples? Select * From Rr FULL OUTER JOIN S s ON r.B= s.B AND r.C=s.C; Answer:What role does the reflection vector play in computer graphics? The following should have at least two examples of each.
- Using Haskell or I will give negative on it Write a function which computes the image of R under a (ACST,p.12), where Ris a relation from A to B and a is an element of A based on the representationspecified in (*)Translate a triangle with coordinates A(2, 2), B(6, 2) and C(4, 4) with translation vector [4 7] (T).Let G = ({S,A,B,C,D,E,Z},(0,1),R,S),where R = {S → E | Z; E → A | C; A → 01B | 0A | ; B → 1B |10A; C →10D |1C |; D →01C |0D; Z →0Z1 |}.(a) Describe the language L (in English) that is generated by the CFGG.(b) Prove that the language L generated by the CFG G is not regular.Hint: use the fact that regular languages are closed under unionand prove that one component of the language is not regular bythe Pumping Lemma.
- For function f from {a, b, c, d} to {1, 2, 3, 4, 5}. f(a) = 4, f(b) = 5, f(c) = 1 and f(d) = 3, The set containing the domain has the following elementsGiven two strings X and Y, where X consists of the sequence of symbols X1, X2, Xm and Y consists of the sequence of symbols y₁,Y2, ***,yn. Consider the sets {1, 2, ..., m} and {1, 2, ..., n} as representing the different positions in the strings X and Y, and consider a matching of these sets, where a matching is a set of ordered pairs with the property that each item occurs in at most one pair. A matching M of these two sets is an alignment if there are no "crossing" pairs: if (i,j). (i*,j') = Mandi 0 that defines a gap penalty. For each position of X or Y that is not matched in M (it is a gap), we incur a cost of 8. Second, for each pair of letters p and q (p + q) in our alphabet, there is a mismatch cost of app for lining up p with q. Thus, for each (i,j) = M, we pay the appropriate mismatch cost axiy for lining up x; with y;. The cost of M is the sum of its gap and mismatch costs, and the problem seeks an alignment of minimum cost. Define the minimum alignment cost OPT(i,j) (0 ≤ i ≤…Let A ={1, 2, 3, ... , 10}, B = {2, 3, 6, 8}, and C = {3, 5, 4, 8, 2} Write the Venn diagram representation of the following sets. How many elements are there in A U B U C.