math
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I feel like talking about some pure math, just for fun on a Sunday afternooon. Back in 2006, Dan Christensen did something rather simple and got a surprisingly complex and interesting result. He took a whole bunch of polynomials with integer coefficients and drew their roots as points on the complex plane.
The Beauty of Roots
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www.iki.fi/sol - Tutorials - Interpolation Tricks
Contents 1. Why 0..1 Range While making demos I've found different interpolation tricks to be extremely valuable.A set V consists of n elements if its elements can be counted 1, 2,..., n . In other words, the set V can be brought into a 1-1 correspondence with the set Often it's more convenient to start counting from 0. Then we get the set Definition A permutation is a 1-1 correspondence of a set V onto itself:
Permutations
College Algebra Tutorial on The Fundamental Counting Principle
Let’s use the basic counting principle : There are 6 stages or events: digit 1, digit 2, digit 3, digit 4, letter 1, and letter 2. In general there are 10 digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. The first digit is limited to being the number 5, so there is only one possibility for that one. There are no restriction on digits 2 - 4, so each one of those has 10 possibilities. In general, there are 26 letters in the alphabet.
The factorial symbol is the exclamation point: ! So if I wanted to write 7 factorial it would be written as 7!. In general, n!
College Algebra Tutorial on Permutations