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Know Your Knuth

Exploring the work of Donald E. Knuth from Concrete Mathematics to The Art of Computer Programming. Taking conjuncts as invariant 0. Our derivation of Euclid's algorithm was pretty involved. Let's spend some time practicing some simpler derivations. Posted by Eric at 11:53 AM. Euclid, via Knuth. The very first algorithm we encounter in The Art of Computer Programming. Given two positive integers m and n,. Find their greatest common divisor, that is, the largest positive integer that. We will have 0 ≤ r.

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Know Your Knuth | knowyourknuth.blogspot.com Reviews
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Exploring the work of Donald E. Knuth from Concrete Mathematics to The Art of Computer Programming. Taking conjuncts as invariant 0. Our derivation of Euclid's algorithm was pretty involved. Let's spend some time practicing some simpler derivations. Posted by Eric at 11:53 AM. Euclid, via Knuth. The very first algorithm we encounter in The Art of Computer Programming. Given two positive integers m and n,. Find their greatest common divisor, that is, the largest positive integer that. We will have 0 ≤ r.
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2 continued
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4 algorithm e
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6 is it zero
7 algorithm ourselves
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Know Your Knuth | knowyourknuth.blogspot.com Reviews

https://knowyourknuth.blogspot.com

Exploring the work of Donald E. Knuth from Concrete Mathematics to The Art of Computer Programming. Taking conjuncts as invariant 0. Our derivation of Euclid's algorithm was pretty involved. Let's spend some time practicing some simpler derivations. Posted by Eric at 11:53 AM. Euclid, via Knuth. The very first algorithm we encounter in The Art of Computer Programming. Given two positive integers m and n,. Find their greatest common divisor, that is, the largest positive integer that. We will have 0 ≤ r.

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knowyourknuth.blogspot.com knowyourknuth.blogspot.com
1

Know Your Knuth: An open note to Craig Laughton

http://knowyourknuth.blogspot.com/2006/08/open-note-to-craig-laughton.html

Exploring the work of Donald E. Knuth from Concrete Mathematics to The Art of Computer Programming. An open note to Craig Laughton. In your journal entry dated 11/12/04. You express discomfort with the operator ≥. I'm not sure how you feel about it now, but just in case you're still unsure about it I thought I'd write this little note. X y ≡ x ≥ y ∧ (y ≥ x). Ge;, of course has a counterpart, ≤, pronounced `at most' and you can find a nice little note about it here. Posted by Eric at 4:27 AM. The Σ ...

2

Know Your Knuth: Intermezzo

http://knowyourknuth.blogspot.com/2006/08/intermezzo.html

Exploring the work of Donald E. Knuth from Concrete Mathematics to The Art of Computer Programming. While working on a question I ran into a summation I did not know how to handle. So I'd like to spend the next couple of posts looking at sums in general. Today I'll start with an exercise from Concrete Mathematics. Knuth et al. What does the notation. Posted by Eric at 8:28 AM. Problem Proof 1 (1.2.1,3). Problem Proof 0 (1.2.1, 2). Not a Knuth exercise, I know, but no less importan.

3

Know Your Knuth: Taking conjuncts as invariant 0

http://knowyourknuth.blogspot.com/2006/09/taking-conjuncts-as-invariant-0.html

Exploring the work of Donald E. Knuth from Concrete Mathematics to The Art of Computer Programming. Taking conjuncts as invariant 0. Our derivation of Euclid's algorithm was pretty involved. Let's spend some time practicing some simpler derivations. Posted by Eric at 11:53 AM. They were bowling along through another avenue of trees when the driver suddenly shouted, indomethacin. From most of his defects. He would have liked to keep her longer, but with her strange promethazine. Euclid, via Knuth.

4

Know Your Knuth: The Σ calculus Part 4

http://knowyourknuth.blogspot.com/2006/08/calculus-part-4.html

Exploring the work of Donald E. Knuth from Concrete Mathematics to The Art of Computer Programming. The Σ calculus Part 4. Let us conclude (for now) our exploration of the Σ calculus by introducing. One new postulate and one more theorem. Posted by Eric at 1:12 PM. The Σ calculus Part 3. The Σ calculus Part 2. The Σ calculus Part 1. The Σ calculus Part 0. Problem Proof 1 (1.2.1,3). Problem Proof 0 (1.2.1, 2). Not a Knuth exercise, I know, but no less importan.

5

Know Your Knuth: July 2006

http://knowyourknuth.blogspot.com/2006_07_01_archive.html

Exploring the work of Donald E. Knuth from Concrete Mathematics to The Art of Computer Programming. Problem Proof 0 (1.2.1, 2). There must be something wrong with the following proof. What is it? Be any positive number. For all positive integers. If n=1, a. And by induction, assuming that the theorem is true for 1, 2, ., n. So the theorem is true for n 1. Posted by Eric at 9:20 AM. Not a Knuth exercise, I know, but no less important. Posted by Eric at 3:40 PM. Prove the summation formula, Eq. (10). Unfor...

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Know Your Knuth

Exploring the work of Donald E. Knuth from Concrete Mathematics to The Art of Computer Programming. Taking conjuncts as invariant 0. Our derivation of Euclid's algorithm was pretty involved. Let's spend some time practicing some simpler derivations. Posted by Eric at 11:53 AM. Euclid, via Knuth. The very first algorithm we encounter in The Art of Computer Programming. Given two positive integers m and n,. Find their greatest common divisor, that is, the largest positive integer that. We will have 0 ≤ r.

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