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- For the transition probability matrix P = 1 2 3 4 5 1 0.2 0.1 0.15 0 0.55 2 0 1 0 0 0 3 0.35 0.2 0.2 0.1 0.15 4 0 0 0 1 0 5 0.25 0.2 0.15 0.25 0.15 (a) Rewrite P in the canonical form, clearly identifying R and Q. (b) For each state, i, calculate the mean number of times that the process is in a transient state j, given it started in i. (c) For each state i, find the mean number of transitions before the process hits an absorbing state, given that the process starts in a transient state i. (d) For each state i, find the probability of ending in each of the absorbing states.SOLVE STEP BY STEP AND IN DIGITAL FORMAT 2. Consider the graph K(2,3) shown in Figure 1. Let n∈N be the number of colors available to properly color the vertices of K(2,3). How many eigencolorations of K(2,3) assign vertices a and b the same color?Write Algorithm for Element from a Base ImageInput : a group G acting on f2 = { 1,2 ..... n };the base image [71, 72 ..... 7k[ of an element g of G;a base and strong generating set for G;Schreier vectors v (i) ,1 <_ i < k, for the stabiliser chain;Output : the element g = uk • Uk-1 X 9 9 9 X u 1;
- Write a program in Scilab that samples f (x )=3e^−x sinx at x=0,1,2,3,4,5 and then, on the same graph, plots nearest-neighbor, linear and spline interpolations of these data using the interp1 function. The interpolation plots should have 200 samples uniformly spaced over 0≤x≤5 .Simplify the following Boolean functions, using K-maps: F (w, x, y, z)=Σ(11, 12, 13, 14, 15)Q4) Suppose that you form a low pass spatial filter that averages the 4-neighbors of a point (x, y) as the following: 1 80 y) =10 y +1) +flx + 1, y) +flx, y - 1) +flx - 1, y)] . (a) Prove that the transfer function of the filter is defined as: H 1 2mu o 2y (wv) = 3 [cos N cos N (b) Image g(x,y) is sharpened by the Laplacian operator H as: 8xy)=fixy)+Vf(x,y) 0 -1 0 H=|-1 8 -1 0 -1 0 Prove that: e 90,y) =10[r(xy) - £ F G | fix, v) is the mean of f(x,y) with its four neighboring pixels
- Given the complement of a graph G is a graph G' which contains all the vertices of G, but for each unweighted edge that exists in G, it is not in G', and for each possible edge not in G, it is in G'. What logical operation and operand(s) can be applied to the adjacency matrix of G to produce G'? AND G's adjacency matrix with 0 to produce G' XOR G's adjacency matrix with 0 to produce G' XOR G's adjacency matrix with 1 to produce G' AND G's adjacency matrix with 1 to produce G'Consider a three-qubit quantum system, with each qubit described by the computational basis states |0⟩ and |1⟩. The system is in the following quantum state: (a) Find the reduced density matrix ρA for the first qubit (from the left) by tracing out the other two qubits. (b) Show that the state |Ψ⟩ is entangled by proving that it cannot be written as a product state of the form |ψA⟩ ⊗ |ψBC ⟩.Prove that the following instance of PCP does not have a match [aba, bb], [ab, a], [bab, aa], [ab, ba]
- Prove that C = { < M,w > |M(w) goes into state q4 during its computation} is undecidable.Find the truth sets for N using N, Z, and R universal sets.Correct answer will be upvoted else downvoted. Computer science. The reflection is a legitimate time with h=24, m=60. Be that as it may, for instance, assuming h=10, m=60, the reflection is anything but a legitimate time. An occupant of the planet Lapituletti starts to take a gander at a reflected picture of the tickers sooner or later second s and needs to know the closest future time second (which might conceivably occur on the following day), when the reflected clock time is legitimate. It tends to be shown that with any h, m, s such a second exists. On the off chance that the reflected time is right now the occupant started to take a gander at the clock, that second is considered the closest. You are approached to tackle the issue for a very long time cases. Input The primary line contains a solitary integer T (1≤T≤100) — the number of experiments. The following 2⋅T lines contain the portrayal of experiments. The depiction of each experiment comprises of two…