Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Create a Venn diagram for each of the sets below.
1. (A ∩ B ∩ C)
2. (A∪B) ∩ C
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- max edge distance Simplification key Figure 4-1: A sample process for the Douglas-Peucker algorithm The Douglas-Peucker algorithm is for the selection of representative points to simplify a curve composed of line segments. It uses a point-to-edge distance tolerance. The algorithm starts with a crude simplification that is the single edge joining the first and last vertices of the original polyline. It then computes the perpendicular distance of all intermediate vertices to that edge. The vertex that is furthest away from that edge, and that has a computed distance that is larger than a specified tolerance, will be marked as a key and added to the simplification. This process will recurse for each edge in the current simplification until all vertices of the original polyline are within tolerance of the simplification results. This process is illustrated in Figure 4-1. (1) Given three points (xp, Yp), (Xa, Ya), (Xp,Yb), show a detailed process to compute the perpendicular distance from p…arrow_forwardAdditional Topics: Topological Sort A strict order relation can be represented by a directed acyclic graph (or DAG), which is a directed graph with no cycles. For example, the following directed graph is a DAG: A topological sort of a DAG is an ordering of the vertices that is consistent with the edges of the graph. That is, if there is an edge (u, v) in the graph, then u should appear before v in the topological sort. For example, 1,2,3 and 1,3, 2 are topological sorts of the DAG shown above, but 2,1,3 is not a topological sort because 2 cannot be listed before 1. 7. Given the following DAG G representing UIC's Computer Science courses and prerequisites (note that edges implied by the transitive property are omitted): CS 261 CS 362 CS 141 CS 11 CS 211 Cs 361 CS 401 CS 151 CS 251 CS 342 Cs 301 Answer the following questions: a. Give two different topological sorts of G. b. Is each of the following orderings a topological sort of G? Justify your answer. CS111, CS151, CS301, CS251,…arrow_forward4. please help me with this Data structure and algorithmarrow_forward
- Traversal of Discrete Models Instructions 1. Implement the Viterbi algorithm in Python. Your task is to write code for the following prototype: def Viterbi(A,B,Pi,O) Returning Viterbi score and best path 2. Calculate the Viterbi score and the Best path of the first two vectors described in part 1 of this assignment by hand. Show your work. 3. Create an observation vector of at least 7 elements. 4. Use the observation vectors and results calculated in 2. and 3. above to test your implementation of the Viterbi algorithm.arrow_forwarddef transitiveclosure(g): """computes the transitive closure of a graph/relation encoded as as a set of 2-tuples""" transitiveclosure: This function should accept sets/frozensets of 2-tuples that encode relations, or equivalently, graphs, and should return the least relation that includes the input relation and is transitive: its transitive closure. E.g., an input frozenset({(1,2),(2,3)}) could correctly result in the value frozenset({(1,2),(2,3),(1,3)}).arrow_forwardQuestion 3 Please answer them correctlyarrow_forward
- please help me with this Data structure and algorithmarrow_forwardPart 1: The drawing below shows a Hasse diagram for a partial order on the set: (А, В, С. D, E, F. G, H. I, J} E B Figure 1: A Hasse diagram shous 10 vertices and 8 exiges. The vertices, represented by dots, are as follows: verter J is upurard of vertez H; verter H is upward of verter I; verter B is inclined upward ta the left of verter A; vertez C is upuard of vertez B: verter D is inclined upuard to the right of verter C; rertez E is inelined upward to the left of vertez F; verter G is inclined upward to the right of verter E. The edges, represented by line segments between the vertices are as follows: 3 vertical edges connect the following irertices: B and C, H and I, and H and J; 5 inclined edges connect the follouring vertices: A and B, C and D. D and E, E and F, and E and G. Determine the properties of the Hasse diagram based on the following questions: What are the minimal elements of the partial order? What are the maximal elements of the partial order? Which of the following…arrow_forward3. Draw Edge List Structure, Adjacency List Structure and Adjacency Matrix Structure representation of the following graph: 4 A 1arrow_forward
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