Assume we have the two relations R and S as shown above. Answer the following questions:...
! Exercise 15.4.4: In Example 15.6 we discussed the join of two relations R and S, with 1000 and 500 blocks, respectively, and M = 101. However, we need additional additional disk I/O's if there are so many tuples with a given value that neither relation's tuples could fit in main memory. Calculate the total number of disk I/O's needed if: a) There are only two Y-values, each appearing in half the tuples of R and half the tuples of...
Consider the natural join of the relation R(A,B) and S(A,C) on attribute A. Neither relations have any indexes built on them. Assume that R and S have 80,000 and 20,000 blocks, respectively. The cost of a join is the number of its block I/Os accesses. If the algorithms need to sort the relations, they must use two-pass multi-way merge sort. Assume that there are 110,000 blocks available in the main memory. We like to have the output sorted based on...
7. For a linear system whose input-output relations is represented as: v n]=x[n]+0.5x[n-l]-0.25x[n-2]·(x r input. y[n] output) We also assume this system is originally at rest, ie. yln] -0 ifnco. (a) Write the transfer function of this systenm (b) Determine the first five samples of its impulse response. (c) Is this system a stable system? (d) Write down the input-output relation the causal inverse system of this system (e) Use Matlab to finds zeros and poles of the transfer function...
Python 3 Discrete Mathematics We are going to write a program to read in relations, show the matrix of the relation. We will also show if the relation is reflexive, symmetric, anti-symmetric and transitive. This program will read in files that the user gives. Normal Error handling applies. The file the user gives you will have the elements of the set for the relation followed by the tuples in the relation. The Text Files The first line of the text...
Y = Kºn1-a Assume a = 1/3 and answer the following questions; A) Calculate marginal productivity of capital. B) Show whether there are decreasing returns to capital. C) Calculate marginal productivity of labor. D) Show whether there are decreasing return to capital. r share of outnut Anmol E) Define labor share of output (income) as Wage paid to labor WEN = "*N, where W is total Output wage paid to all workers. Calculate labor share of income (Hint: Wage=Marginal productivity...
Consider the following AM system x(t) z(t) y(t) H(a) 10ω -10 othwise 2cos (100t) Ifthe input signal x(t), the has a spectrum function, X(w), shown above, a) Write the expressions of r(w) and Z(w) in terms of X(w). b) Sketch the spectrums, x(ω), and r(a)Jdentify the LSE and USB components on the graphs? 14] 131 lain the type of AM modulation is the output z(03 Consider the following AM system x(t) z(t) y(t) H(a) 10ω -10 othwise 2cos (100t) Ifthe...
QUESTION 10 The equality relationon any set S is: A total ordering and a function with an inverse. An equivalence relation and also function with an inverse. A function with an inverse, and an equivalence relation with as single equivalence class equal to S An equivalence relation and also a total ordering QUESTION 11 A binary operation on a set S, takes any two elements a,b E S and produces another element c e S. Examples of binary operations include...
Question 3 The circuit below is driven by the series of pulses shown. Assume Vct0 (a) Write an expression for vo. (2 points). (b) Determine the output voltage after n pulses. (4 points) (c) Use the results from (b) and design, by specifying values for R and C, so that the output voltage is -5 V after 5 pulses. (4 points)
F(S) + X(S) + + Suppose that the system shown has a plant for which Gr=-- and a PI con- S+2 troller, so that Ge=K,+". (40) (a) Using the expressions given for G, and Gc, solve the block diagram shown to find an expression for the output X(s) in terms of F(s), Kp, K, and s. (20) (b) For the system's natural frequency to be 0, = 3 rad/s, what would be the integral gain, K,? (20) (c) For W,...
Answer the following questions: К R(s) C(s) к, ST1 Find the closed loop transfer function from R(s) to C(s) for the system of the diagram above. Draw the root locus for the system in the diagram above as a function of K Draw the unit step response for the system in the diagram above marking the settling time, peak time and maximum output. Find all the possibilities: overdamped, critically damped, underdamped. Find an expression to the steady state error to...