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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).
Calculate the linear equation: Example: Solve the equation 4x + 3 = 19 by transposing. Solution: Step 1. Transpose the 3 from the left-hand to the right-hand si
A differential equation is termed as an ordinary differential equation, abbreviated through odes, if this has ordinary derivatives in it. Similarly, a differential equation is term
Perform each of the following algebraic expression as instruction says;- I.Multiply 5x+6m+4y by5 II.Divide 4ax+6ay-10az by 2a
#in a picnic the ratio of boys to girls is 3:4. when 6 boys joined the group the ratio became even. how many boys were there before? how many children were there before? how many b
Give the Definition of Logarithms ? A logarithm to the base a of a number x is the power to which a is raised to get x. In equation format: If x = ay, then log a x = y.
The Mean Value Theorem : In this section we will discuss the Mean Value Theorem. Before we going through the Mean Value Theorem we have to cover the following theorem. Ro
why it is hard?
answer sheet
Standard conventions in game theory Consider the given table: Y 3 -4 X -2 1
The temperature in Hillsville was 20° Celsius. What is the equivalent of this temperature in degrees Fahrenheit? This problem translates to the expression 3 {[2 - (-7 + 6)] + 4
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