Pancakes with a Problem The cook at the Sunrise Cafe is sloppy: when she prepares pancakes, they come out all different sizes. The waiter, however, is tidy. Before ...

Converting Between File Types If you are using LaTeX to typeset your solutions, you can get PDF files by using pdflatex (if you want to get postscript, you can run ...

16. Polynomials, Secret Sharing, and Error Correcting Codes intro Polynomials Examples of polynomials in one variable over the reals: :`P(x) 3x^2 7x #8211 ...

Primes, Euclid #8217;s GCD, and Continued Fractions Determining the greatest common divisor is an example of finding an integer relation between two numbers. Dating ...

Counting in Terms of Proportions Distributions For any random event, like flipping a coin, each outcome has a value and a probability. A probability distribution ...

Random Walks on Graphs At any node, go to one of the neighbors of the node with equal probability. Let #8217;s start simple #8230;We #8217;ll just walk in a straight ...

Random Variables and Great Expectations Some problems involving probability can seem really messy. For example, if we randomly put 100 letters into 100 addressed envelopes ...