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Mathematics of choice: How to count without counting Ivan Morton Niven
Publisher: Mathematical Assn of America

Although your favorite word processor will give you a “word count,” do you know what it is counting? At his blog, Todd Smith has collected some examples from practitioners about how to phrase the word-count certificate Word processors disagree about the math. There are plenty of good resources for them already. You've no doubt noticed the new word-count limits applicable in Texas appellate courts. Not the usual mathematics that game devs always talk about – vectors and matrices and quaternions and spherical harmonics and all that. Mathematics of Choice: How to Count Without Counting (New Mathematical Library 15) Mathematics of Choice: Or, How to Count Without Counting (New. The eliminated candidate's first place votes are removed, with the second choice of the voters for the eliminated candidate "counting" in the next round. I want to get Mathematics is good at providing models for reality, but we should never identify the two. Why not simply count all the 2nd votes from all candidates? After all, even the person most allergic to math, most traumatized by math, still remembers how to count! For example: Phrasal adjectives: Is “summary-judgment motion” two words or three? The Lunch Counter can count the choices and take the results to the cafeteria manager. As you see, this “counting” is a little more challenging than the kind of “counting” you learned in your salad days. We all know how to count, and the Peano axioms give us a precise summary of the process. For example: Shakespeare wrote fifteen comedies and ten histories. If option #1 has P alternatives and option #2 has Q alternatives (assuming that the two sets of alternatives have no overlap), then total number of different pairs we can form is P*Q.