MATH3143 Combinatorics. Lecture Notes (2012)‚ Week 1 Chapter I: Permutations‚ combinations‚ occupancy problems. We start with some basic counting principles and examples. I.1. Two ways of counting the same finite set give the same answer. Example I.2. (Hand shaking lemma). The number of delegates at a conference who shake hands an odd number of times is even. Proof. Let D1 ‚ ...‚ Dn be the delegates‚ and let X = {(i‚ j) : Di and Dj shake hands}‚ and let k = |X|. We count k in two ways. First k
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Discussion Question 1. Briefly describe Moore law. What are the implications of this law? Are there any practical limitations to Moore law? Moore’s Law is a hypothesis stating that transistor densities on a single chip double every two years. Moore ’s law describes a long-term trend in the history of computing hardware. The number of transistors that can be placed inexpensively on an integrated circuit has doubled approximately every two years. Moore ’s law is a rule of thumb in the computer
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1. In the beginning of the act‚ Hamlets asks himself a question. “To be‚ or not to be—that is the question.” What Hamlet is actually asking is considering if he wants to live or kill himself. Whether he should live in sorrow and accept fate as it is now or if he should fight it and continue to live. 2. Although most people would say that Hamlet is afraid of death that’s why he won’t kill himself. Hamlet isn’t afraid of that at all‚ he is afraid of what would happen to him after he is dead. The reason
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Discussion Questions 1. Explain what HR management is and how it relates to the management process. Human Resource Management is the process of acquiring‚ training‚ appraising‚ and compensating employees‚ and of attending to their labor relations‚ health and safety‚ and fairness concerns. The HR management function is all about the staffing activity. Staffing is all about personnel management. Staffing is basically determining what type of people you want to hire and the selection of those people
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Multiple Choice 1. Air may best be described as __________. a. an element b. a compound c. a mixture d. none of these 2. Which one of the following is the most abundant gas in the atmosphere? a. oxygen b. argon c. carbon dioxide d. nitrogen 3. With which
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Who has manipulated my mind in relation to reality? I believe that society has manipulated my mind in relation to reality in some way because I think that reality is just a state of mind. The physical aspect of the things I can see‚ touch‚ taste‚ etc. make me believe that everything I encounter is factual. Also society says to believe only what you believe to be real and don’t believe in fantasy because you have no physical connections to imagination. How can I break free from the bonds of those
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Shakespeare’s old English‚ we can see that Hamlet is asking questions that we are usually too afraid to ask. Hamlet asks himself is about death‚ love‚ and revenge and shakespeare forces us‚ as reader‚ to ask the same questions when analyzing Hamlet. This is why Hamlet is relevant and important hundreds of years after it was written. Shakespeare asks many questions in Hamlet‚ but few are as famous as the ones that are asked in Hamlet’s soliloquy in act 3 scene 1. Its first line is probably one of the most famous
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Question : (TCO D) Return on investment (ROI) is equal to the margin multiplied by Student Answer:sales. turnover. average operating assets. residual income. Instructor Explanation:Chapter 12 Points Received: 5 of 5 Comments: 2. Question : (TCO D) For which of the following decisions are opportunity costs relevant? (A)The decision to make or buy a needed partThe desision to keep or drop a product line Yes Yes (B) Yes No (C) No Yes (D) No No Student Answer: Choice A Choice
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KMGT-680-2A: Introduction to Project Management Discussion Question (7) H000319111 When a project comes to an end successfully‚ it shows that it was handled well which creates an avenue for more projects in the future. The experiences gotten by the team members will increase and they will work well because they have been appraised from the just concluded one. The reputation of the company is also rated high because the PM and the team have performed but the reverse will be the case if clients have
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Astronomy 1760-60 Fall 2010 Homework 2 Answers Short Answer/General Questions: These should have short answers of a few sentences. 1. Explain the difference between speed and velocity and why this is important in acceleration. Give an example where an object is accelerating‚ but their speed is constant. Speed: Change in position over time – distance over time Velocity: Change in position and direction over time – distance and direction over time Acceleration: Change in Velocity‚ so a change
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