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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).
Each week Jaime saves $25. How long will it take her to save $350? Divide $350 by $25; 350 ÷ 25 = 14 weeks.
Explain the Algebraic Expressions and Equations? Writing a math problem algebraically means that you are using numbers and variables to represent relationships. "Three inche
The low temperature in Anchorage, Alaska present was -4°F. The low temperature in Los Angeles, California was 63°F. What is the difference in the two low temperatures? Visualiz
If α,β are the zeros of the polynomial 2x 2 - 4x + 5 find the value of a) α 2 + β 2 b) (α - β) 2 . Ans : p (x) = 2 x 2 - 4 x + 5 (Ans: a) -1 , b) -6) α + β =
Greatest Common Factor The primary method for factoring polynomials will be factoring the greatest common factor. While factoring in general it will also be the first thing
1.A manufacturing facility consists of five departments, 1, 2, 3, 4 and 5. It produces four components having the manufacturing product routings and production volumes indicated in
Describe Simplifying Fractions with example? When a fraction cannot be reduced any further, the fraction is in its simplest form. To reduce a fraction to its simplest form, div
Activity This activity will help you recognize the importance of some very famous numbers, as well as learn more about approximations. Directions Using the Internet, provi
Explain Adding and Subtracting in Scientific Notation? To add or subtract numbers in scientific notation, the numbers must be expressed so that they have the same exponent.
Lance has 70 cents, Margaret has three-fourths of a dollar, Guy has two quarters and a dime, and Bill has six dimes. Who has the most money? Lance has 70 cents. Three-fourths o
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