Zipf's Law

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The Fractalist

by Benoit Mandelbrot  · 30 Oct 2012

, the first part presented a subject that did not yet exist, and my main goal was not to help linguistics become mathematical but to explain Zipf’s law. Why the rush? At a meeting in London, I had been offered a postdoc at MIT. The desire to take off pushed me to cram

More Than You Know: Finding Financial Wisdom in Unconventional Places (Updated and Expanded)

by Michael J. Mauboussin  · 1 Jan 2006  · 348pp  · 83,490 words

this relationship in a number of systems in the 1930s and summarized them in his famous book Human Behavior and the Principle of Least Effort. Zipf’s law, as scientists came to call it, is actually only one example among many of a “power law.” To take language as an example, a power

Think Complexity

by Allen B. Downey  · 23 Feb 2012  · 247pp  · 43,430 words

. Small World Graphs Analysis of Graph Algorithms FIFO Implementation Stanley Milgram Watts and Strogatz Dijkstra What Kind of Explanation Is That? 5. Scale-Free Networks Zipf’s Law Cumulative Distributions Continuous Distributions Pareto Distributions Barabási and Albert Zipf, Pareto, and Power Laws Explanatory Models 6. Cellular Automata Stephen Wolfram Implementing CAs CADrawer Classifying

Growth: From Microorganisms to Megacities

by Vaclav Smil  · 23 Sep 2019

words with, predictably, le, la, les in the lead and, less predictably, en in 10th place (Estoup 1916). By far the most enduring application of Zipf’s law has been to study the ranking of cities by their population size: for any historical period, these distributions are approximated as a simple inverse power

Scale: The Universal Laws of Growth, Innovation, Sustainability, and the Pace of Life in Organisms, Cities, Economies, and Companies

by Geoffrey West  · 15 May 2017  · 578pp  · 168,350 words

urban studies than in either biology or physics. There was, however, one major exception to this and that is a famous scaling law known as Zipf’s law for the ranking of cities in terms of their population size. This is shown graphically in Figure 39. It’s an intriguing observation: in its

The Misbehavior of Markets: A Fractal View of Financial Turbulence

by Benoit Mandelbrot and Richard L. Hudson  · 7 Mar 2006  · 364pp  · 101,286 words

gently, so rare words happen more often than they otherwise might. Zipf asserted that α is 1. In fact, there are many empirical problems with Zipf’s “law,” as some call it; not least of them is that it simply does not accurately reflect what happens in real language. But it proved interesting

The Physics of Wall Street: A Brief History of Predicting the Unpredictable

by James Owen Weatherall  · 2 Jan 2013  · 338pp  · 106,936 words

a famously eccentric character and few took him seriously. He had spent his career arguing for a universal law of physical, social, and linguistic phenomena. Zipf’s law said that if you constructed a list of all the things in some natural category, say, all of the cities in France, or all of

Complexity: A Guided Tour

by Melanie Mitchell  · 31 Mar 2009  · 524pp  · 120,182 words

the first, the third about one-third as often, and so forth. This relation is now called Zipf’s law, and is perhaps the most famous of known power laws. FIGURE 17.4. An illustration of Zipf’s law using Shakespeare’s “To be or not to be” monologue. There have been many different explanations proposed

The Doomsday Calculation: How an Equation That Predicts the Future Is Transforming Everything We Know About Life and the Universe

by William Poundstone  · 3 Jun 2019  · 283pp  · 81,376 words

a way of convincing ourselves that the statistics apply to other people, other enterprises. We all think we’re special. Most of us are wrong. Zipf’s Law George Kingsley Zipf (1902–1950) was a Harvard linguist whose nerdish obsession was the relative frequencies of words. Living before the age of computers, he

Understanding Sponsored Search: Core Elements of Keyword Advertising

by Jim Jansen  · 25 Jul 2011  · 298pp  · 43,745 words

exponents. The power law distribution (i.e., the exponent) that we are most concerned with in sponsored search, especially for keyphrase selection, is known as Zipf’s Law. Zipf’s law Zipf’s Law takes its name from the linguist George Kingsley Zipf who proposed and popularized it [62], although the relationship between words and their frequency of use

Television disrupted: the transition from network to networked TV

by Shelly Palmer  · 14 Apr 2006  · 406pp  · 88,820 words

Natural Language Annotation for Machine Learning

by James Pustejovsky and Amber Stubbs  · 14 Oct 2012  · 502pp  · 107,510 words

Dataclysm: Who We Are (When We Think No One's Looking)

by Christian Rudder  · 8 Sep 2014  · 366pp  · 76,476 words

The 80/20 Principle: The Secret of Achieving More With Less

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by Steven Pinker  · 24 Sep 2012  · 1,351pp  · 385,579 words

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by Catherine Shanahan M. D.  · 2 Jan 2017  · 659pp  · 190,874 words

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by Toby Segaran and Jeff Hammerbacher  · 1 Jul 2009

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by David Brooks  · 8 Mar 2011  · 487pp  · 151,810 words

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by Michael J. Mauboussin  · 14 Jul 2012  · 299pp  · 92,782 words

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Beautiful Visualization

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by William MacAskill  · 27 Jul 2015  · 293pp  · 81,183 words

The Death of Money: The Coming Collapse of the International Monetary System

by James Rickards  · 7 Apr 2014  · 466pp  · 127,728 words

Currency Wars: The Making of the Next Gobal Crisis

by James Rickards  · 10 Nov 2011  · 381pp  · 101,559 words

Unweaving the Rainbow

by Richard Dawkins  · 7 Aug 2011  · 339pp  · 112,979 words

The Middleman Economy: How Brokers, Agents, Dealers, and Everyday Matchmakers Create Value and Profit

by Marina Krakovsky  · 14 Sep 2015  · 270pp  · 79,180 words

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by John Brockman  · 14 Feb 2012  · 416pp  · 106,582 words

How Big Things Get Done: The Surprising Factors Behind Every Successful Project, From Home Renovations to Space Exploration

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by Alan B. Krueger  · 3 Jun 2019

Enlightenment Now: The Case for Reason, Science, Humanism, and Progress

by Steven Pinker  · 13 Feb 2018  · 1,034pp  · 241,773 words

Culture & Empire: Digital Revolution

by Pieter Hintjens  · 11 Mar 2013  · 349pp  · 114,038 words