1. [7 points] Quantum numbers, n, I and my were discussed in class. (a) For n= 3, list all possible values of l. Answer: (b) For n= 3, list all possible values of mı. Answer: (c) List all the subshells in the n= 4 shell. Answer: (d) How many orbitals are present in the 4f subshell? Answer: (e) For the 3p subshell, what are the values for n and I? Answer: n= and I= (f) How many orbitals are present...
Suppose that Xi ~ N(, ?2), i-l, are independent. State the distribution of each of the following variables if it is a "named" distribution or otherwise state "unknown." 15. , n and Z1 ~ NO, l), i 1, , k, and all variables
Suppose {N(,) :,20} is a Poisson process with rate λ and S, denotes the time of the event (the ns waiting time). Find the following: L) E(N(O-NO)I N(2)-4) ii.) Give an integral the value of which would be P(S, <6). You need not integrate. iv.) E(S, I N(2)-3) Suppose {N(,) :,20} is a Poisson process with rate λ and S, denotes the time of the event (the ns waiting time). Find the following: L) E(N(O-NO)I N(2)-4) ii.) Give an integral...
Material: 8.3.2 Consider the matrix (1 2 3 A-2 3 1 (8.3.28) (i) Use (8.3.27) to find the dominant eigenvalue of A. (ii) Check to see that u-(1 , I , î ), is a positive eigenvector of A. Use 11 and Theorem 8.6 to find the dominant eigenvalue of A and confirm that this is exactly what was obtained in part 0) obtained in part (i) or(ii ii) Compute all the eigenvalues of A directly and confirm the result...
Question 3 (5 Points) Find context free grammars L = a"b",n is a multiple of three Find context-free grammars for the following languages (with n 2 0, m 2 0) ** L = {a"bm : n < m+3}. (a) (b) L= {a"bm : n = m - 1}. L = {a"bm 2m}. L {a"b" 2n < m < 3n}. (c) (d)
a e Octave a a Caleculator to qn i. Calculate the number N equal to the sum of all digits of your SID ii. For the N × N matrix A = (aij) defined as aij-l if i = j, or i + 1 = j, and aij 0 for all other values of (i,j) Compute (A-)x for x ,,1 ER . Compute (A-1)Tx for x = [1, 2, 3, . . . , NIT E RN. . Compute x-A(A-19%...
a) Find the transform of the following signals and plot the ROC . I x(n)-(0.5)'u(-n-3)+2(0.75) u(n+2) x(n)--on2u(n-2) a) Find the transform of the following signals and plot the ROC . I x(n)-(0.5)'u(-n-3)+2(0.75) u(n+2) x(n)--on2u(n-2)
Consider the sequence defined by o = 0 and 2 = 2 +(-1)"' i l for n EN Find an expression for in standard form, then prove that your formula is correct for all integers n > 0.
1) i 2 for (i2; i<=n; i++) 2) if i>n goto7) 3) t1 i 4 ali TRUE; count = 0; 4) alt1]= TRUE 5) i = i+ 1 (u)9 for (i-2; i<=s;i++) 6) goto (2) if (alil) //i has been found to be a prime 7 count = 0 count++; 8) s sqrt(n) for (j-2'i; i<=n; j = i+i) ail =FALSE; // no multiple of i is a prime 10) ifi>s goto (22) Fig 4.0 Figure 4 .0 is the...
Find all integers x, and odd integers n such that, 1 + n^2 = x^3. Please give an explanation with proof thank you.