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Consider a database whose universe is a finite set of vertices V and whose unique relation .E is binary and encodes the edges of an undirected (resp., directed) graph G: (V, E). Each undirected edge between the nodes o and u (resp., directed edge from the node v to the node u) is encoded by the two atoms E (v, u) and E (u, v) (resp., by the single atom E (v, u)).
Consider the pairs of stucture (undirected (resp., directed) graphs) shown in Fig. 1. Suppose that the graphs are encoded in a database as explained above. For each pair, answer the following questions:
1. What is the smallest quantifier rank k for which the spoiler wins the k-move Ehrenfeucht-Fraisse game on the pair of structure?
2. Derive a Boolean first-order query from your winning strategy that is true on one structure but not on the other (you can use the equality relation between vertices).
The area of a rectangular yard is 480 square feet. The yard is 24 feet wide. How many feet do I need to fence all four sides?
Evaluate the convergence of the algorithms: From the convergence proof of power method, LR and QR algorithm for the computation of eigenvalues we see that the easiest case to
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THE CURVE C HAS POLAR EQUATION R=[X^1/2][E^X^2/PI]. WHERE X IS GREATER THAN OR EQUAL TO 0 BUT LESS THAN OR EQUAL TO PI. THE AREA OF THE FINITE REGION BOUNDED BY C AND THE LINE X EQ
Confidence Interval The interval estimate or a 'confidence interval' consists of a range as an upper confidence limit and lower confidence limit whether we are confident that a
If f(x) is an infinitely differentiable function so the Taylor Series of f(x) about x=x 0 is, Recall that, f (0) (x) = f(x) f (n) (x) = nth derivative of f(x)
A simple example of fraction would be a rational number of the form p/q, where q ≠ 0. In fractions also we come across different types of them. The two fractions
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What is Modulo Arithmetic and what is an easy way to remember it?
Observe that natural numbers do not have a zero. This shortcoming is made good when we consider the set of whole numbers. The set of whole numbe
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