11. (p→ (q→r)) ↔ ((p^q)+r) 15. Determine whether the following statement forms are logi- cally equivalent: p(qr) and (p→q) →r
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- dict1 = {(1,1,1):"red", (2,1,-1):"green", (0,-1,1):"red", (0,0,-2):"blue"}In this case, there are 2 red points, and their centroid is at ( (1+0)/2, (1-1)/2, (1+1)/2 ) = (0.5, 0, 1)Considering that in this example there is only one green and one blue point, they are representing the respective color's centroid. Hence, your function should return the following dictionary:{"red":(0.5,0.0,1.0), "green":(2.0,1.0,-1.0), "blue":(0.0,0.0,-2.0)}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.T=4, n=12 and A=(3,5,8,8,9,16,29,41,50,63,64,67). Draw the corresponding walkthrough as shown in P.146.
- F(w, x, y, z) = ∑(1, 3, 4, 5, 10, 11, 12, 13, 14, 15) List of prime implicantQ5) Let Σ = {0, 1}. Convert the following NFA's to DFA's:4. Let Σ = {0, 1} be an alphabet and let L ⊆ {0, 1} ∗ be the language defined as L = {w ∈ {0, 1} ∗ |w = x10y, x, y ∈ {0, 1}∗}. (a) Determine whether 01 ∈ L.(b) Determine whether 0101 ∈ L.
- Given A={1,2,3,4,5,6}, B={4,5,6,7,8,9}. Compute (c)A−B=Define upper bound. If f(n) = 3n * 5 for what values of C and n this function is said to be upper bounded.Graph Neural Network: Consider the un-directed graph shown in the Fig. The values inside the node refer to the feature value of the node. The order of the nodes is A,B,C,D when following the matrix form in below questions.(You can use python or other languages to find the eigen values and other operation for this question): 1.Consider the values in the circle to be the values of the input feature of the data point. Find the spectral representation of the data point.2.Let W = 2, B = 1 and a ReLU activation function f(x) = max(0,x) as explained in question 1. Find one step updated features h(1)v for all nodes using the Graph Convolution Network (GCN) algorithm
- Please do question d and e. It follows from a, b and cAssume the following scoring matrix. A T C G - A 1 -1 -1 -2 -1 T 1 -1 -1 -1 C 2 -1 -1 G 1 -1 Fill out the dynamic programming table for the global alignment between sequences v = TAGCTCCG and w = GCATCCA using the scoring matrix above. Use the following recursive scoring formula. w= G C A T C C A 0 1 2 3 4 5 6 7 v= 0 T 1 A 2 G 3 C 4 T 5 C 6 C 7 G 8 What is the score and global alignment between v and w?1. Simplify the following expression using K-Map for a and write the simplified equation. I need help understanding this question. Can you please show steps clearly? I will rate! Please answer the question and don't copy paste another solution. Thank you very much!