Plot t(dilated time) for t = 1 hr (proper time) at different speeds [v =0, 0.1c, 0.2c......0.99c, c]
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- Show that F(x, y, z) = xy + xz + yz has the value 1 if and only if at least two of the variables x, y, and z havethe value 1.Given A = {1,2,3} and B={u,v}, determine. a. A X B b. B X B2. Heat conduction in a square plate Three sides of a rectangular plate (@ = 5 m, b = 4 m) are kept at a temperature of 0 C and one side is kept at a temperature C, as shown in the figure. Determine and plot the ; temperature distribution T(x, y) in the plate. The temperature distribution, T(x, y) in the plate can be determined by solving the two-dimensional heat equation. For the given boundary conditions T(x, y) can be expressed analytically by a Fourier series (Erwin Kreyszig, Advanced Engineering Mathematics, John Wiley and Sons, 1993):
- The electric flux density D at the point M (0,4,0) in the region about a uniform line charge of 1 nC/m lying along the z axis in free space is: Select one: a. None of the above b. 0.6366 nC/m c. 0.2387 nC/m d. 0.039 nC/m e. 0.1 nC/m∑ = {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.Suppose we have a problem that currently takes 100,000 hours of computer time usingcurrent technology to solve. Which of the following would give us the solution first: (1)Replace the algorithm used in the current solution by one that runs twice as fast and runit on the current technology, or (2) Wait 3 years, assuming Moore’s law doubles theperformance of a computer every 18 months, and find the solution using the currentalgorithm with the new technology?
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- for x= 0,1,2,4,5,6In each case below, show using the pumping lemma that the givenlanguage is not a CFL.e. L = {x ∈ {a, b, c}∗ | na(x) = max {nb(x), nc(x)}}Theory of Computation Prove that XY is undecidable XY = { ⟨M⟩ ∣ M is a TM where x∈L(M) and y∈L(M) } Prove this by reducing it from ATM which is proven to be undecidable