2 fix) = x² - 1 / y 13 solve the using firefly Algo. 0(x, y≤5 No. of population = 5
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- TM M = (Q, E, I, 6, 90, 9a, qr), where Q = {90, 91, 92, 9a, 9r}, Σ = {0, 1}, r = {0, 1, L}, and 8 is: 8(qo, U) = (qr, U, R) 8(90, 0) = 8(go, 1) (91, 0, R) (qo, 1, R) = 8(g1, L) = (ga, U, R) 8(91,0) = (91, 0, R) 8(91, 1) = (92, 1, R) = (92, U, R) 8(92, U) 8(92, 0) = (90, 0, R) 8(92, 1) = (92, 1, R) i. Prove that M is NOT a decider. ii. Mathematically describe the language A that M recognises. Prove that A ≤ L(M). iii. Prove A = L(M). iv. Is A Turing-decidable? [Give clear reasons for your answer. No need for a formal proof.]given %matplotlib inlineimport numpy as npfrom matplotlib import pyplot as pltimport mathExplain it
- Q2/ If a cubic equation is expressed as ax3 + bx? – cx + d = 0 and we let A= 18abce – 4b³d +b?c² – 4ac³ – 27a²d² we can determine the nature of the roots as follows A>0 : three distinct real roots A = 0 : has a multiple root and all roots are real A< 0 : has one real root and two non-real complex conjugate roots Incorporate this into a C++ program to determine the nature of the roots of a cubic expression from suitable input.There are 2016 passengers about to board a plane, numbered 1 through 2016 in that order. Each passenger is assigned to a seat equal to his or her own number. However, the first passenger disregards instructions and instead of sitting in seat number 1, chooses and sits down in a randomly chosen seat. Each subsequent passenger acts according to the following scheme: if their assigned seat is available, they will sit there; otherwise, they will pick at random from the remaining available seats and sit there. What is the probability that the 1512th passenger ends up sitting in their assigned seat? A. 1/2016 B. 1/2 C. 5/8 D. 3/4 E. None of the above. onstruct npd ’s th t ccept the following l ngu ges on Σ = {a, b, c}L = {w : na (w) = nb (w) + 1}
- n 0, T(n - а) + 1 п>а. T(n} =Bus timetables specify to the second the exact arrival and departure time of each bus on each stop. You need to pay for the full fare of every bus you ride and different bus lines charge different fees , but they are flat fees (independent of distance travelled on the line) A travel plan is a sequence of stop-time pairs where stop is a location of a bus stop and time is when we arrive at that stop. The plan is feasible if for any two consecutive pairs (a, t) and (b, t′) in the plan there exists a bus that departs after t and arrives at b at exactly t′. That is, a travel plan does not allow us to walk between stops. Assuming that no two buses arrive at the same time at the same stop, a feasible plan uniquely identifies the bus lines that we need to take to realize the plan. The cost of the plan is the sum of the fares we need to pay. Your task is to design an efficient algorithm that given a departure time t, an arrival time t′, an origin stop a and a destination stop b, finds the…Let L10 = (a^bmcki k = n + m and n,m,k2 0}. Design a %3D CFG to generate L10.Then design a PDA to generate L10. This can be based on your CFG using the method described in the book, but does not have to be.
