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{{Infobox scientist
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|name              = George Kingsley Zipf
|birth_date        = {{Birth date|1902|01|07}}
|death_date        = {{Death date and age|1950|09|25|1902|01|07}}
|image            = George Kingsley Zipf 1917.jpg
|caption          = 1917 photograph from the 1919 Annual of the Freeport High School, Freeport, Illinois
|image_size        =
|birth_place      = [[Freeport, Illinois]]
|death_place      = [[Newton, Massachusetts]]
|nationality      = [[United States|American]]
|fields            = [[Statistics]], [[linguistics]]
|alma_mater        = [[Harvard College]]
|known_for        = [[Zipf's law]]
}}
'''George Kingsley Zipf''' ({{IPAc-en|ˈ|z|ɪ|f}};<ref>{{citation|title=A Pocket Guide to Risk Mathematics: Key Concepts Every Auditor Should Know|first=Matthew|last=Leitch|publisher=John Wiley & Sons|year=2010|isbn=9780470971468|page=62|url=http://books.google.com/books?id=f8GrzlnMSm8C&pg=PA62}}.</ref> 1902–1950), was an [[United States|American]] [[linguistics|linguist]] and [[philologist]] who studied [[statistics|statistical]] occurrences in different [[language]]s.<ref name="crimson">{{citation|url=http://www.thecrimson.com/article/1950/9/27/zipf-dies-after-3-month/|title=Zipf Dies After 3 - Month Illness|newspaper=[[The Harvard Crimson]]|date=September 27, 1950}}.</ref>
 
Zipf earned his bachelors, masters, and doctoral degrees from [[Harvard University]], although he also studied at the [[University of Bonn]] and the [[University of Berlin]].<ref name="crimson"/>
He was Chairman of the German Department and University Lecturer (meaning he could teach any subject he chose) at [[Harvard University]].<ref name="crimson"/> He worked with [[Chinese languages]] and [[demographics]], and much of his effort can explain properties of the [[Internet]], distribution of income within nations, and many other collections of data.<ref>{{citation|title=Theory of Zipf's Law and Beyond|volume=632|series=Lecture notes in economics and mathematical systems|first1=A. I.|last1=Saichev|first2=Yannick|last2=Malevergne|first3=Didier|last3=Sornette|publisher=Springer|year=2009|isbn=9783642029462|page=1|url=http://books.google.com/books?id=orSSCf69ZhMC&pg=PA1}}.</ref>
 
==Zipf's law==
{{Main|Zipf's law}}
George Kingsley Zipf is the [[eponym]] of [[Zipf's law]], which states that while only a few words are used very often, many or most are used rarely,
 
:<math>P_n \sim 1/n^a</math>
 
where ''P<sub>n</sub>'' is the frequency of a word ranked ''n''<sup>th</sup> and the exponent ''a'' is almost 1. This means that the second item occurs approximately 1/2 as often as the first, and the third item 1/3 as often as the first, and so on. Zipf's discovery of this law in 1935 was one of the first academic studies of [[word frequency]].<ref>{{citation|title=Word Frequency Distributions|volume=18|series=Text, Speech and Language Technology|first=R. Harald|last=Baayen|publisher=Springer|year=2002|isbn=9781402009273|page=13|url=http://books.google.com/books?id=fzkQPKoFEb0C&pg=PA1}}.</ref>
 
Although he originally intended it as a model for linguistics, Zipf later generalized his law to other disciplines. In particular, he observed that the rank vs. frequency distribution of individual incomes in a unified nation approximates this law, and in his 1941 book, "National Unity and Disunity" he theorized that breaks in this "normal curve of income distribution" portend social pressure for change or [[revolution]].
 
==See also==
* [[Zipf–Mandelbrot law]]
{{Div col end}}
 
==Bibliography==
 
* Zipf, George Kingsley (1932): ''Selected Studies of the Principle of Relative Frequency in Language.'' Cambridge (Mass.).
* (1935): ''The Psycho-Biology of Language.'' Cambridge (Mass.).
* (1941): ''National unity and disunity''
* (1946): ''The P1 P2/D Hypothesis: On the Intercity Movement of Persons.'' American Sociological Review, vol. 11, Dec, pp.&nbsp;677
* (1949): ''Human behavior and the principle of least effort''
 
==References==
{{reflist}}
 
{{Authority control|VIAF=79156155}}
 
<!-- Metadata: see [[Wikipedia:Persondata]] -->
{{Persondata
|NAME= Zipf, George Kingsley
|ALTERNATIVE NAMES=
|SHORT DESCRIPTION= American statistician
|DATE OF BIRTH= 1902-01-07
|PLACE OF BIRTH= [[Freeport, Illinois]]
|DATE OF DEATH= 1950-09-25
|PLACE OF DEATH= [[Newton, Massachusetts]]
}}
{{DEFAULTSORT:Zipf, George Kingsley}}
[[Category:1902 births]]
[[Category:1950 deaths]]
[[Category:American philologists]]
[[Category:American statisticians]]
[[Category:Harvard University alumni]]
[[Category:Harvard University staff]]
[[Category:Quantitative linguistics]]
[[Category:Bibliometrics]]
[[Category:Guggenheim Fellows]]

Latest revision as of 09:27, 13 January 2015

If, however, there is absolutely no way you could wear the Size - Genetics device without it being detected or if there is not enough time for a proper enlargement session, you can always use penis enlargement exercises instead of the traction device. Three forms of surgical procedures to enlarge the penis that are the most usual are fat injection, ligament cutting, and dermal grafting. It is covered by your clothes so nobody will realize that you use penis enlargement products. No doubt the most interesting news for prospective clients is the fact that benefits in penis length and girth do not retrogress over time. Then, slowly but steadily, the hand is slowly moved upwards, i.

This is the herb that has helped the 60, 70, 80 even 90 year olds in Brazil have a healthy sex life naturally. After undergoing surgery, you might have to allow the device to stay inside the penis for a few months so permanent size can be achieved. Females carry XX chromosomes, and a defect in one X chromosome may be corrected by another X chromosome which is basically normal. While they are more expensive than another procedures, there exists very little danger included in making use of them, and males record long term profits within size. This is vital and it will need to be amongst the prime prerequisites when it arrives down to deciding upon male enhancement products.

We have debunked them with the right clauses and information. There is no other method so safety and reliable than natural way. Well, according to a recent report, penis size sometimes matters, and sometimes it does not. Most men are after a magic bullet to restore their youthful virility and ensure sexual vitality. By holding back your ejaculation you will be able to stimulate the metabolic activity of testosterone hormone in the body to improve erections and performance.

It is not easy to get better erections and enhance sex life by using ordinary enlargement products. Apart from this you also need to keep in mind that you have an option to purchase such pills online so your privacy is maintained. The muscle that you use to shut off the stream of urine is the PC muscle, and you need to strengthen it. Scientists have discovered that L-carnitine is beneficial for circulation, increases peripheral blood supply and protects the heart from free radical damage. Many people think that if a man is giant and heavily built, he definitely has a large penis.

However, it is still not reported if the pleasure from orgasm is less or same. Actual penis extensions are also available at most on-line sex toy stores. Testosterone effects can also be classified by the age of usual occurrence. The herbal product is advisable as they are free of side effects and can be used by anyone. This process allows the penis chambers to hold more blood than it could before.

If you enjoyed this article and you would certainly such as to obtain more information pertaining to how do you make your penis bigger kindly check out the web-page.

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