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Here are the questions: 1. State Euler's Circuit Theorem. Explain why this theorem should be true 2. Explain Cantor's Diagonalization Argument. Give examples and explain what this argument was used for. 3. Explain the Coastline Paradox. How does it relate to the Koch Snowflake and fractals in general. 4. State Euler's Path Theorem. Explain why this theorem should be true. 5. What are the two types of infinity? Give an infinite set S, explain how to create a larger set that does not have the same cardinality. How do you know that your set has different cardinality? 6. Explain how the Fibonacci numbers can be used to approximate the golden ratio. Also explain where we see the golden ratio in nature. 7. Explain what the Knight's Tour is (open and closed). What does this have to do with Sir William Rowan Hamilton? 8a. Suppose that x, y, and z are natural numbers. Give a solution (x=? y=? z=?) if possible for x2 + y2 = z2. Give a solution (x=? y=? z=?) if possible for x3 + y3 = z3. 8b. State the Pythagorean Theorem and Fermat's Last Theorem. 9. Explain how to find the dimension of the Sierpinski triangle (make sure to include what equations you are using).
During one part of the Daily Show clip, "An Energy Independent Future," the first President Bush is heard talking about decreasing our dependence on foreign oil. Stewart says, "and, he would have done it, too, if it hadn%u2019t been for these (SUVs) ..
Truly autonomous people who are unafraid to make important decisions and who accept responsibility for their lives and their decisions are
Consider the following: "To be considered effective today, a communicator needs the ability to be able to gain a keen understanding of the experiences and thinking patterns of the individual or individuals that they are trying to communicate with.
One ethical perspective suggests that right action provides the greatest good for the greatest number. what are the pros and cons of the focus on individuals, provide three examples of ethical conflicts and the consideration for each from a nursing p..
A symbiotic relationship is when: All enzymes used in the food industry are: Mineralization. Detecting genetically engineered microorganisms in the environment is difficult because:
What are some of aspect of criminal justice administration? I want to allow myself to be creative in my approach and to focus.
What proactive stances has Southwest airlines taken in regards tosocial marketing.NOT SOCIAL MEDIA, proactive stance of SWA in regard to social marketing.
Based on BMW's typical product life cycle, what marketing strategies are appropriate for the 3 series? Which of the three ways to manage the product life cycle does BMW utilize with its products?
The civil rights movement and the Vietnam War contributed to the end of the "Solid South." Until the 1970s, the South voted for Democrats at all levels. Republicans have had success using values to appeal to southern voters.
article showing how the theory of psychological egoism in a corporation resulted in an ethical dilemma.1.is there a way
What are the advantages and disadvantages of unions in regard to selecting a quality labor pool? How might these differ depending on the industry?
What influence does the group with which the "Lone Extremist" is affiliated, or has been in the past, have on the individual actor? Is he or she persuaded by the group or by a particular individual in the group?
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