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Learning the Art of Computer Programming

Learning the Art of Computer Programming. Tord M. Johnson. June 3, 2015. On October 26, 2013, after well over a decade of software development, I decided to return to Donald Knuth’s monumental work, The Art of Computer Programming. That is, to make my way methodically through all four volumes, reviewing any and all references myself (provided they are in English), and attempting to complete all exercises, provided their rating is below 40. Notes on the Exercises. October 26, 2013. November 21, 2013.

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Learning the Art of Computer Programming | tord.net Reviews

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Learning the Art of Computer Programming. Tord M. Johnson. June 3, 2015. On October 26, 2013, after well over a decade of software development, I decided to return to Donald Knuth’s monumental work, The Art of Computer Programming. That is, to make my way methodically through all four volumes, reviewing any and all references myself (provided they are in English), and attempting to complete all exercises, provided their rating is below 40. Notes on the Exercises. October 26, 2013. November 21, 2013.

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1 section

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3 html

4 started

5 algorithms

6 mathematical induction

7 sums and products

8 permutations and factorials

9 binomial coeﬃcients

10 harmonic numbers

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Learning the Art of Computer Programming | tord.net Reviews

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Learning the Art of Computer Programming. Tord M. Johnson. June 3, 2015. On October 26, 2013, after well over a decade of software development, I decided to return to Donald Knuth’s monumental work, The Art of Computer Programming. That is, to make my way methodically through all four volumes, reviewing any and all references myself (provided they are in English), and attempting to complete all exercises, provided their rating is below 40. Notes on the Exercises. October 26, 2013. November 21, 2013.

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tord.net

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Exercises from Section 1.2.5

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Exercises from Section 1.2.5. Tord M. Johnson. March 27, 2014. X005D; How many ways are there to shuﬄe a 52-card deck? As we have 52 choices for the ﬁrst card, 51 for the second, and so on, we simply have. Ways to shuﬄe a 52-card deck. Is the 68 decimal digit number. X005D; In the notation of Eq. (2), show that. And explain why this happens. In the notation of Eq. (2), since. That is, after choosing the. Th element, we have no choice left for the last element. X005D; What permutations of. We may determin...

2

Exercises from Section 1.2.3

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Exercises from Section 1.2.3. Tord M. Johnson. February 12, 2014. X005D; The text says that. What then, is. X005D; What does the notation. Represents the sum of all. X005D; Without using the. Notation, write out the equivalent of. And also the equivalent of. Explain why the two results are diﬀerent, in spite of rule (b). For the ﬁrst notation,. While for the second notation,. The two results are diﬀerent, in spite of rule (b), as. Is not a permutation, since. Is neither one-to-one (. We must show that.

3

Exercises from Section 1.2.2

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Exercises from Section 1.2.2. Tord M. Johnson. January 30, 2014. X005D; What is the smallest positive rational number? There is no smallest positive rational number. To see why, let. Be this smallest number, in which case, clearly,. A contradiction. Hence, there is no smallest positive rational number. A valid decimal expansion, at least according to the deﬁnition given in the text on page 21, as it violates the requirement that the sequence of digits doesn’t end with inﬁnitely many. X005D; What is.

4

Exercises from Notes on the Exercises

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Exercises from Notes on the Exercises. Tord M. Johnson. October 26, 2013. X005D; What does the rating “ M20. According to the author, the rating “ M20. X201D; indicates a mathematically-oriented exercise of medium diﬃculty requiring perhaps a quarter hour to ﬁnish. X005D; Of what value can the exercises in a textbook be to the reader? X005D; Prove that. Generalize your answer. [This is an example of a horrible kind of problem that the author has tried to avoid.]. First, we will prove that. Is an integer,.

5

Exercises from Section 1.2.1

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Exercises from Section 1.2.1. Tord M. Johnson. December 10, 2013. X005D; Explain how to modify the idea of a proof by mathematical induction, in case we want to prove some statement. Integers—that is, for. We may modify the idea of a proof by mathematical induction in the case we want to prove some statement for all nonnegative integers as follows:. Be some statement about the integer. In order to prove that. Is true for all nonnegative integers. Give a proof that. Give a proof that “if all of. Which we ...

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tord.net

Learning the Art of Computer Programming

Learning the Art of Computer Programming. Tord M. Johnson. June 3, 2015. On October 26, 2013, after well over a decade of software development, I decided to return to Donald Knuth’s monumental work, The Art of Computer Programming. That is, to make my way methodically through all four volumes, reviewing any and all references myself (provided they are in English), and attempting to complete all exercises, provided their rating is below 40. Notes on the Exercises. October 26, 2013. November 21, 2013.

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