1: Prove that the problem of finding a Hamilton cycle in a directed graph is NP-complete, using the NP-completeness of the Hamilton-cycle problem for undirected graphs.
2. Suppose that two problems are known to be NP-complete. Does this imply that there is a polynomial-time reduction from one to the other, if P INP?
1. Show that a monotone real function is measurable.
2.
1. ROA and ROE models and Ratio Components] The Salza Technology Corporation successfully increased its “top line” sales from $375,000 in 2015 to $450,000 in 2016. Net income also increased as did the venture’s total assets. You have been asked to compare the financial performance between the two years.
2.
1. Calculate the net profit margin and the sales-to-total assets ratio for Salza for 2016 using average total assets. Also calculate the return on total assets in 2016 using average total assets.
2.
3.
Calculate the ratios in the ROA model for both 2015 and 2016 using year-end total assets. Comment on any financial ratio differences
.Using average balance sheet account data, calculate the (a) current ratio, (b) quick ratio, (c) total-debt-to-total-assets ratio, and (d) the interest coverage ratio for 2016.
Repeat the ratio calculations requested in Part A separately for 2015 and 2016 using year-end balance sheet account data. What changes, if any, have occurred in terms of liquidity and financial leverage?
1. Show how to use a systolic array to transpose a matrix.
2. How many processors and how many steps are required for a systolic machine that can multiply an M -by-N matrix by an N -by-1 vector?
3. Give a simple parallel scheme for matrix-vector multiplication using processors which have the capability to “remember” computed values.
1.Routine work of pricing, distribution and promotion of services to customers is classified as A.descriptive marketing B.interactive marketing C.internal marketing D.external marketing 2. Marketing done by motivating and training of employees for differential customer services is classified as A.interactive marketing B.internal marketing C.external marketing D.descriptive marketing 3. To create fit between demand and supply, non-peak demand, complementary services, differential pricing and reservations systems are strategies of A.demand side B.supply side C.complementary side D.descriptive side
1. Show directly from equation (12.21) (without using the detailed balance equation) that the posterior distribution P(X | e) is a stationary distribution of the Gibbs chain (equation (12.22)).
2. Show that any distribution π that satisfies the detailed balance equation, equation (12.24), must be a stationary distribution of T.
1. Rewrite Exercise 1 using an ArrayList. Write a program to test your implementation and compare its performance to that of the array implementation in Exercise 1 using the Timing class.
2. Design and implement a class that uses an array to mimic the behavior of the ArrayList class. Include as many methods from the ArrayList class as possible. Write a program to test your implementation.
1. Show how education can signal the worker's innate ability in the labor market. What is a pooled equilibrium? What is a perfectly separating signaling equilibrium?
2. How can we differentiate between the hypothesis that education increases productivity and the hypothesis that education is a signal for the worker's innate ability?
3. Discuss the difference between general training and specific training. Who pays for and collects the returns from each type of training?
1. Rewrite the following infix expression in prefix and postfix form and draw the syntax tree
2. Write a BNF description of (a) postfix arithmetic expressions and (b) prefix arithmetic expressions.
Q
1. Show 8052 code which sets timer 1 to 16bit mode, turns it on and sets it starting value such that it overflows every 100th.
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