Consider a maximization problem that is being solved by Simulated Annealing. Let the objective function value of the current state, s, be 1000. Let this state have 5 successors/neighbors: s1(950), s2(975), s3(1000), s4(1000), and s5(1050). The numbers in parentheses represent the corresponding objective function values. The current temperature is 100. The probability that the next state is: 1. s1 = [Select] 2. s2 = [Select] 3. s3 [Select] = 4. s4= [Select] [Select] 5. s5 0.778 0.121 0.156 0.2 0.606
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- A particle of (mass= 4 g, charge%3 80 mC) moves in a region of space where the electric field is uniform and is given by E, =-2.5 N/C, E = E, = 0. If the velocity of the particle at t = 0 is given by Vz = 276 m/s, v, = v, = 0, what is the speed of the particle at t = 2 s? %3D (in m/s)For Ge semiconductor, assume the Fermi energy level is 0.1 ev below the conduction band energy Ec. Let the absolute temperature T for items i and ii be 200 K. i. Find the number of quantum states between Ec and Ec + 2. x kbT ii. Determine the probability of a state being empty of an electron at Ec+2. x kbT. ii. Find the temperature at which there is an electron at the state Ec+0.2 x kbT with probability 30% iv. Repeat item iii by using the Boltzmann approximation rather than the Fermi-Dirac distribution Find the difference in temperature between items ii and V. iv above and express this difference as percentageIn Simulated Annealing, if the current state’s evaluation function value is 15, the selected successor state’s value is 11, and the current temperature is T = 10, what is the probability of moving to the successor state? (Assume we are maximizing the evaluation function.) Please give your answer as either an expression or a number.
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