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If a "typical" firm reports $20 million of retained earnings on its balance sheet, can the firm definitely pay a $20 million cash dividend.
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Question : (a) Suppose that you are given an instance of the MST problem on a graph G, with edge weights that are all positive and distinct. Let T be the minimum spanning tree for G returned by Kruskal's algorithm. Now s ...
(1) This problem concerns of the proof of the NP-completeness of 300L a) Convert the formula F into a 300L graph b) Find a solution for the 300L instance of F and verify that it is a solution for F F = (Z 1 V Z 2 ) ^ (z ...
Question : Suppose that G is a directed graph. In class we discussed an algorithm that will determine whether a given vertex can reach every other vertex in the graph (this is the 1-to-many reachability problem). Conside ...
Problem - Consider a closed convex set X ⊂ R d , a function H : X x Ξ ι→ R d , and a deterministic nonnegative sequence {α n } such that n=0 ∑ ∞ α n = ∞ and n=0 ∑ ∞ (α n ) 2 = ∞. Consider an inner product (·, ·) on R d , ...
All these questions should be answered in MATLAB !!! 1. Generate a set of 3 random patterns of dimension 12 where each value is +1 or -1.(3 random 12*12 matrix) 2. Create a 12-unit Hopfield network (a 12x12 matrix) from ...
Assignment - 1. Let (T, ∧, ∨,', 0, 1) be a Boolean Algebra. Define ∗ : T × T → T and o : T × T → T as follows: x ∗ y := (x ∨ y)' x o y := (x ∧ y)' (a) Show, using the laws of Boolean Algebra, how to define x ∗ y using on ...
Question : Suppose G is an undirected, connected, weighted graph such that the edges in G have distinct edge weights. Show that the minimum spanning tree for G is unique.
Problem # 1: Given a sequence x(n) for 0≤n≤3, where x(0) = 1, x(1) = 1, x(2) = -1, and x(3) = 0, compute its DFT X(k). (Use DFT formula, don't use MATLAB function) Use inverse DFT and apply it on the Fourier components X ...
Question : What is the signed binary sum of 1011100 and 1110101 in decimal? Show all of your work. What is the hexadecimal sum of 9A88 and 4AF6 in hexadecimal and decimal? Show all of your work.
ANALYTICAL METHODS FOR ENGINEERS ASSIGNMENT - CALCULUS This assignment assesses Outcome - Analyse and model engineering situations and solve problems using calculus. Questions - Q1. Differentiate the following functions ...
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