(5 marks) Let A := {1} and B = AUP(A). Draw the lattice diagram of P(B).
Discrete Mathemathics
answer #2
1. Let B {a, b} and U P(B). Draw a Hasse diagram for C on U. a. 1, 2, 3, 6}. Show that divides, | b. Let A is a partial ordering on A. Draw a Hasse diagram for divides on A. C. Compare the graphs of parts a and c. d. Answer 2. Repeat Exercise 1 with B {a, b, c} and {1,2, 3,5, 6, 10, 15, 30}. Hint Here is a Hasse diagram for...
3. Given the regular expression (a[b)a(a[b)*. [5 marks] (a) Draw the corresponding NFA diagram using the Thompson construction; (b) Transform the NFA to DFA using subset construction. You need to write the derivation process and draw the resulting diagram; [4 marks] [5 marks (c) Express the RE using a CFG
3. Given the regular expression (a[b)a(a[b)*. [5 marks] (a) Draw the corresponding NFA diagram using the Thompson construction; (b) Transform the NFA to DFA using subset construction. You need to...
2. Solve and draw empty lattice energy band diagram for fc lattice along
Q.5 6 marks Markov chain with the following (a) Draw the state transition diagram for transition matrix P 0 0.5 0 0.5 0 0.2 0.8 0 0 O P = \ 0 0.1 0 0.2 0.7 0 0.9 0 0.1 0 0 0 0 0 1 on five states 1,2,3,4,5} 2 marks (b) Identify the communicating classes of the Markov chain and identify whether they are open or closed. Write them in set notation and mark them on the transition...
Let H={p() : p()= a + b + cf*: a,b,cer} (a)(3 marks) Show that H is a subspace of P3. (b) Let P1, P2, P3 be polynomials in H, such that Py(t) = 2, P2(t) = 1 +38P3(0)= -1-t-Use coordinate vectors in each of the following and justify your answer each part (1) (5 marks) Verify that {P1, P2, P3} form a linearly independent set in P3- (11) (2 marks) Verify that {P1, P2, P3} does not span P3. (111)...
Assume the Bravais lattice vectors of graphene are a, and a2 as shown in the diagram below, deduce the reciprocal lattice vectors b, and b2 and their magnitude, and draw the reciprocal lattice structure. Here the C-C bonding length is a. a2 a1
5) Draw a possible Feynman diagram (with quarks) for " +p+ → +n 6) Draw a possible Feynman diagram for n + ve > p+u"
Let A, B be events such that P(A) = 1/3 , P(B) = 1/4 , and P(AB) = 1/6. Find the following and write in words what events a)-d). Example: AB' means that either A occurs or B does not occur. HINT: draw a diagram. a) P(A' B') b) P(A' B) c) P(A' u B) d) P(A' B') We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to...
A1 The primitive lattice vectors of a 2-dimensional lattice where and are unit vectors along the horizontal and vertical, respectively. Sketch this lattice, including on your sketch the lattice points, primitive vectors, and primitive unit cell ax and p2 (a/2)( are p Write down an expression for the conventional lattice vectors, and state the number of lattice points in a conventional unit cell Draw conventional lattice vectors on your sketch 6 Marks A2 m) atoms at each site, the dispersion...
Let S = {a, b, c} and consider the poset (P(S), ⊆) where P(S) is the power set of S (set of all subsets of S). 1) Draw the Hasse Diagram of (P(S), ⊆) and draw the Hasse Diagram of a Topological Sorting of (P(S), ⊆). Thank you.