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Zeckendorf Representations 89px
Zeckendorf may refer to: * Edouard Zeckendorf, Belgian mathematician known for Zeckendorf's theorem * William Zeckendorf, Sr (1905-1976), American real estate developer * William Zeckendorf, Jr. (1929-2014), real estate developer * Zeckendorf Towers, a condominium in New York City * Zeckendorf, Bavaria. a town near Bamberg, Bavaria. * Louis Zeckendorf, American pioneer * Zeckendorf v. Steinfeld, a case decided by the Supreme Court of the United States The Supreme Court of the United States (SCOTUS) is the highest court in the federal judiciary of the United States. It has ultimate appellate jurisdiction over all U.S. federal court cases, and over state court cases that involve a point o ...
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Edouard Zeckendorf
Edouard Zeckendorf (2 May 1901 – 16 May 1983) was a Belgian doctor, army officer and amateur mathematician. In mathematics, he is best known for his work on Fibonacci numbers and in particular for proving Zeckendorf's theorem, though he published over 20 papers, mostly in number theory. Zeckendorf was born in Liège in 1901. He was the son of Abraham Zeckendorf, Dutch dentist and practicing Jew. In 1925, Zeckendorf graduated as a medical doctor from the University of Liège and joined the Belgian Army medical corps. When Germany invaded Belgium in 1940, Zeckendorf was taken prisoner and remained a prisoner of war until 1945. During this period, he provided medical care to other allied POWs. Zeckendorf retired from the army in 1957 as a colonel Colonel (abbreviated as Col., Col or COL) is a senior military officer rank used in many countries. It is also used in some police forces and paramilitary organizations. In the 17th, 18th and 19th centuries, a colonel was typical ...
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Zeckendorf's Theorem
In mathematics, Zeckendorf's theorem, named after Belgian amateur mathematician Edouard Zeckendorf, is a theorem about the representation of integers as sums of Fibonacci numbers. Zeckendorf's theorem states that every positive integer can be represented uniquely as the sum of ''one or more'' distinct Fibonacci numbers in such a way that the sum does not include any two consecutive Fibonacci numbers. More precisely, if is any positive integer, there exist positive integers , with , such that :N = \sum_^k F_, where is the th Fibonacci number. Such a sum is called the Zeckendorf representation of . The Fibonacci coding of can be derived from its Zeckendorf representation. For example, the Zeckendorf representation of 64 is :. There are other ways of representing 64 as the sum of Fibonacci numbers : : : : but these are not Zeckendorf representations because 34 and 21 are consecutive Fibonacci numbers, as are 5 and 3. For any given positive integer, its Zeckendorf r ...
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William Zeckendorf
William Zeckendorf Sr. (June 30, 1905 – September 30, 1976) was a prominent American real estate developer. Through his development company Webb and Knapp — for which he began working in 1938 and which he purchased in 1949 — he developed a significant portion of the New York City urban landscape. Architects I. M. Pei and Le Corbusier designed structures for Zeckendorf's development projects. Early life Zeckendorf was born to a Jewish family in Paris, Illinois, the son of a hardware store manager. His family moved to New York City when he was three years old. He attended New York University but dropped out to work at the real estate company of his uncle, Sam Borchard. He soon left his uncle's firm to work for Webb & Knapp, a small New York building manager and brokerage. Career Zeckendorf's most notable property acquisition, and potential development of a "dream city" to rival Rockefeller Center, was a site along the East River between 42nd Street and 48th Street. In a no ...
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William Zeckendorf, Jr
William is a masculine given name of Norman French origin.Hanks, Hardcastle and Hodges, ''Oxford Dictionary of First Names'', Oxford University Press, 2nd edition, , p. 276. It became very popular in the English language after the Norman conquest of England in 1066,All Things William"Meaning & Origin of the Name"/ref> and remained so throughout the Middle Ages and into the modern era. It is sometimes abbreviated "Wm." Shortened familiar versions in English include Will, Wills, Willy, Willie, Liam, Bill, and Billy. A common Irish form is Liam. Scottish diminutives include Wull, Willie or Wullie (as in Oor Wullie or the play ''Douglas''). Female forms are Willa, Willemina, Wilma and Wilhelmina. Etymology William is related to the German given name ''Wilhelm''. Both ultimately descend from Proto-Germanic ''*Wiljahelmaz'', with a direct cognate also in the Old Norse name ''Vilhjalmr'' and a West Germanic borrowing into Medieval Latin ''Willelmus''. The Proto-Germanic name is a ...
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Real Estate Developer
Real estate development, or property development, is a business process, encompassing activities that range from the renovation and re-lease of existing buildings to the purchase of raw land and the sale of developed land or parcels to others. Real estate developers are the people and companies who coordinate all of these activities, converting ideas from paper to real property. Real estate development is different from construction or housebuilding, although many developers also manage the construction process or engage in housebuilding. Developers buy land, finance real estate deals, build or have builders build projects, develop projects in joint venture, create, imagine, control, and orchestrate the process of development from the beginning to end.New York Times, March 16, 1963, "Personality Boom is Loud for Louis Lesser" Developers usually take the greatest risk in the creation or renovation of real estate and receive the greatest rewards. Typically, developers purchase a t ...
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Zeckendorf Towers
The Zeckendorf Towers, sometimes also called One Irving Place and One Union Square East, is a , 29-story, four-towered condominium complex on the eastern side of Union Square, Manhattan, in New York City. Completed in 1987, the building is located on the former site of the bargain-priced department store S. Klein. Designed by architectural firm Davis, Brody & Associates, and named in honor of prominent American real estate developer William Zeckendorf, it was one of New York City's most important development projects of the 1980s. Architecture The towers are clad in red brick and the window frames are arranged to give vertical accents, while the fifth and top floors of the office portion of the base have arched windows. The top of the 29-story towers are each capped with screens in the forms of pyramids that are illuminated at night providing a notable contrast to the illuminated clocktower of the Con Ed Building just across Irving Place. Green roof The of outdoor space on ...
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Bamberg
Bamberg (, , ; East Franconian: ''Bambärch'') is a town in Upper Franconia, Germany, on the river Regnitz close to its confluence with the river Main. The town dates back to the 9th century, when its name was derived from the nearby ' castle. Cited as one of Germany's most beautiful towns, with medieval streets and Europe's largest intact old city wall, the old town of Bamberg has been a UNESCO World Heritage Site since 1993. From the 10th century onwards, Bamberg became a key link with the Slav peoples, notably those of Poland and Pomerania. It experienced a period of great prosperity from the 12th century onwards, during which time it was briefly the centre of the Holy Roman Empire. Emperor Henry II was also buried in the old town, alongside his wife Kunigunde. The town's architecture from this period strongly influenced that in Northern Germany and Hungary. From the middle of the 13th century onwards, the bishops were princes of the Empire and ruled Bamberg, overseeing the c ...
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Louis Zeckendorf
Louis Zeckendorf (April 6, 1838March 11, 1937) was a Jewish German-born American merchant. He was primarily involved in the mining industry in New Mexico and Arizona, as well as shipping and supplies in support of that industry. Biography Zeckendorf was born in the Kingdom of Hanover on April 6, 1838. After growing up in Hanover, in 1854 he immigrated to Santa Fe, New Mexico, to join his brother Aaron, with his younger brother William joining them a year later. Louis and Aaron became members of the historical society, with Aaron being a charter member. They founded their first store with financial support from the Spiegelbergs, their former employers. Under the banner of A. & L. Zeckendorf, Wholesale and Retail, Aaron opened a Santa Fe branch, and Louis opened one in Albuquerque (an additional branch was opened in Deming, and stores near mining camps along the Rio Mimbres). The store was moderately successful; but suffered a downturn in business at the start of the Civil War. ...
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Zeckendorf V
Zeckendorf may refer to: * Edouard Zeckendorf, Belgian mathematician known for Zeckendorf's theorem * William Zeckendorf, Sr (1905-1976), American real estate developer * William Zeckendorf, Jr. (1929-2014), real estate developer * Zeckendorf Towers, a condominium in New York City * Zeckendorf, Bavaria. a town near Bamberg, Bavaria. * Louis Zeckendorf, American pioneer * Zeckendorf v. Steinfeld, a case decided by the Supreme Court of the United States The Supreme Court of the United States (SCOTUS) is the highest court in the federal judiciary of the United States. It has ultimate appellate jurisdiction over all U.S. federal court cases, and over state court cases that involve a point o ...
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