1 Maximum Independent Set Problem
... Proposition 5 In any graph G = (V, E), S is a vertex cover in G if and only if V \ S is an independent set in G. Thus α(G) + β(G) = |V | where α(G) is the size of a maximum independent set in G and β(G) is the size of a minimum vertex cover in G. The above shows that if one of Vertex Cover or MIS is ...
... Proposition 5 In any graph G = (V, E), S is a vertex cover in G if and only if V \ S is an independent set in G. Thus α(G) + β(G) = |V | where α(G) is the size of a maximum independent set in G and β(G) is the size of a minimum vertex cover in G. The above shows that if one of Vertex Cover or MIS is ...
Using Tree Diagrams to Calculate Probabilities
... Review with students the steps for graphing inequalities. Ask: How is graphing an inequality that represents a real-world situation different from graphing an inequality without context? If you are representing something in the real world, you need to check whether all the solutions on your graph ma ...
... Review with students the steps for graphing inequalities. Ask: How is graphing an inequality that represents a real-world situation different from graphing an inequality without context? If you are representing something in the real world, you need to check whether all the solutions on your graph ma ...
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... III. Instead of conclusions – current work Partition function of a 2D model: ...
... III. Instead of conclusions – current work Partition function of a 2D model: ...
Reasoning
... that everything is either believed false or believed true. However, it is often useful to represent the fact that we believe such that something is probably true, or true with probability (say) 0.65. This is useful for dealing with problems where there is randomness and unpredictability (such as in ...
... that everything is either believed false or believed true. However, it is often useful to represent the fact that we believe such that something is probably true, or true with probability (say) 0.65. This is useful for dealing with problems where there is randomness and unpredictability (such as in ...
![Chapter 3.1 Random Experiment, Outcomes and Events O O O ]O,O](http://s1.studyres.com/store/data/001107391_1-6b2b9a2a395e41bdacfb86cb56c2ca2e-300x300.png)
Lecture 5: Hashing with real numbers and their big-data applications
... random numbers in [0, 1] and consider the chance that the N + 1th element is the smallest. By symmetry this chance is 1/(N + 1). But this chance is exactly the expected value of the minimum of the first N numbers. QED. ) Since we picked k random hash functions, the Yi ’s are iid. Let Y is be their m ...
... random numbers in [0, 1] and consider the chance that the N + 1th element is the smallest. By symmetry this chance is 1/(N + 1). But this chance is exactly the expected value of the minimum of the first N numbers. QED. ) Since we picked k random hash functions, the Yi ’s are iid. Let Y is be their m ...
Applications of the Double Integral
... of p1 (x) and suppose that the random variable Y of an additional event has a probability density of p2 (y). Then X and Y are said to be independent random variables if their joint density function is p (x; y) = p1 (x) p2 (y) That is, two events are independent if their joint density function is the ...
... of p1 (x) and suppose that the random variable Y of an additional event has a probability density of p2 (y). Then X and Y are said to be independent random variables if their joint density function is p (x; y) = p1 (x) p2 (y) That is, two events are independent if their joint density function is the ...
Practice problems 8- answers, Normal Distributions
... 2nd DISTR 2 normalcdf(25, 27, 28, 2) ENTER answer: 0.2417303035 c) find the 90th percentile of the distribution of sample means. 2nd DISTR 3 invNorm(.90, 28, 2) ENTER answer: 30.56310313 Exercise 5. A Sociologist claims that the average amount of time adults spend watching television is at least ...
... 2nd DISTR 2 normalcdf(25, 27, 28, 2) ENTER answer: 0.2417303035 c) find the 90th percentile of the distribution of sample means. 2nd DISTR 3 invNorm(.90, 28, 2) ENTER answer: 30.56310313 Exercise 5. A Sociologist claims that the average amount of time adults spend watching television is at least ...
Confidence intervals Math 218, Mathematical Statistics
... occurs when p = 12 . Therefore, σ 2 is between 0 and ...
... occurs when p = 12 . Therefore, σ 2 is between 0 and ...
