Search Results: 'combinatorics'

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22 results for "combinatorics"
Introduction to Combinatorics By Gregory Allen
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Combinatorics is the mathematical study of the ways that groups of objects, e.g. students or coins, can be counted and organized. In the first two chapters, we focus on one of combinatoric's central... More > concepts – counting methods. Counting may seem like a pretty trivial subject. Most of us learn to do it from a young age. When you look past the basics, however, there are plenty of no-trivial questions that we can ask like, "How many ways can you be dealt two of a kind in a poker hand?" or "How many different computer IP addresses are for connecting to the Internet?" In the last chapter, we switch directions and discuss the basics of sequences and series. The content of this book along with additional videos is available for free in an online classroom on the White Crane Education website. We've made this print version available for students who want a physical copy of the material.< Less
A Source Book for Probability and Combinatorics By Kevin Brown
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(1 Ratings)
Topics in probability theory and combinatorics (in ASCII text format).
Statistics Probability Combinatorics By Homework Help Classof1
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A jar contains 5 red jelly beans, 9 yellow jelly beans, and 16 orange jelly beans. Suppose that each jelly bean has an equal chance of being picked from the jar. If two jelly beans are selected at... More > random from the jar, what is the probability that neither is yellow? Show work.< Less
The GuitArchitect's Guide To Modes: Harmonic Combinatorics By Scott Collins
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Scott Collins’ GuitArchitecture method replaces the standard approach to learning guitar, rote memorization, with a simple, intuitive two-string approach that anyone can learn. This method,... More > where players can actually see scales on a fingerboard, is called sonic visualization, and it can be applied to any scale or modal system. In this book of the GuitArchitecture series, "The GuitArchitect’s Guide to Modes: Harmonic Combinatorics", Scott explains how to construct and analyze chords and how to create thousands of variations and progressions from a single chord using his unique visualization method. "Harmonic Combinatorics" is a vast harmonic and melodic resource for guitarists. With this approach, you can create an almost infinite number of unique melodic phrases and harmonic devices to compose or improvise your own music.< Less
The GuitArchitect's Guide To Modes: Harmonic Combinatorics By Scott Collins
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In "The GuitArchitect’s Guide to Modes: Harmonic Combinatorics", Scott has gone into the nuts and bolts of chord construction and analysis by taking a systematic approach to... More > generating thousands of chord variations that can be utilized intuitively in any key. In addition to being a vast harmonic resource, Scott also shows the reader ways to make melodic lines from this material allowing the book to double as a melodic resource as well.< Less
Classical Chinese Combinatorics: Derivation of the Book of Changes Hexagram Sequence By Richard S Cook
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The first and most enigmatic of the Chinese classics is the Book of Changes, and the reasoning behind its binary hexagram sequence remained an unsolved mystery for some 3,000 years (according to the... More > tradition ascribing it to King Wen of Zhou, d. -11th c.). This Monograph resolves the classical enigma: Richard Cook provides a comprehensive analysis of the hexagram sequence, showing that its classification of binary sequences demonstrates knowledge of the convergence of certain linear recurrence sequences (LRS; Pingala -5th c.?, Fibonacci 1202) to division in extreme and mean ratio (DEMR, the “Golden Section” irrational; Pythagoras -6th c.?, Euclid -4th c.). It is shown that the complex hexagram sequence encapsulates a careful and ingenious demonstration of the LRS/DEMR relation, that this knowledge results from general combinatorial analysis, and is reflected in elements emphasized in ancient Chinese and Western mathematical traditions.< Less
Companion Guide to Permutations and Combinations By James Tanton
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This is the Companion Guide to the Permutations and Combinations course at www.gdaymath.com. It contains all the text and all the solutions to the exercises (-and so is its own standalone text!)
Companion Guide to Permutations and Combinations By James Tanton
Paperback: $19.00
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This booklet is the Companion Guide to the Permutations and Combinations course at www.gdaymath.com. All the text and all the solutions appears here. (So it is a stand alone text too!)