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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).
3x^2+19x-14=0
3/5 of the soda purchased at the football game was cola. What percentage of the soda purchased was cola? Change the fraction to a decimal through dividing the numerator through
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a) How many equivalence relations on {a, b, c, d, e, f} have b) How many arrangements are there of c) How many triangles are resolute by the vertices of a regular polygon w
Provide me some Examples of solve quadratic equations by Factorization
Components of the Vector We should indicate that vectors are not restricted to two dimensional (2D) or three dimensional space (3D). Vectors can exist generally n-dimensional s
x=ct,y=c/t d^2/dx^2
multiply (1/2+1/2i) ten times
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