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Viète. de Moivre. Euler. Fourier. v. t. e. In trigonometry, trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined. Geometrically, these are identities involving certain functions of one or more angles.
Berlin[a] is the capital and largest city of Germany, both by area and by population.[11] Its more than 3.85 million inhabitants[12] make it the European Union's most populous city, as measured by population within city limits.[4] Simultaneously, the city is one of the states of Germany, and is the third smallest state in the country in terms ...
Bangkok, [a] officially known in Thai as Krung Thep Maha Nakhon [b] and colloquially as Krung Thep, [c] is the capital and most populous city of Thailand. The city occupies 1,568.7 square kilometres (605.7 sq mi) in the Chao Phraya River delta in central Thailand and has an estimated population of 9.0 million as of 2021, 13% of the country's ...
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In the 1880s, at the height of the Gilded Age, George Washington Vanderbilt II began to make regular visits with his mother, Maria Louisa Kissam Vanderbilt, to the Asheville area. He loved the scenery and climate so much that he decided to build a summer house in the area, which he called his "little mountain escape". His older brothers and sisters...
Vanderbilt commissioned prominent New York architect Richard Morris Hunt, who had previously designed houses for various Vanderbilt family members, to design the house in the Châteauesque style. Hunt used French Renaissance châteaux as inspiration. Vanderbilt and Hunt had visited several in early 1889, including Château de Blois, Chenonceau and Cha...
Vanderbilt envisioned a park-like setting for his home and employed landscape architect Frederick Law Olmsted to design the grounds. Olmsted was not impressed with the condition of the 125,000 acres (195 sq mi; 510 km2) and advised having a park surround the house, establishing farms along the river, and replanting the rest as a commercial timber f...
Vanderbilt's idea was to replicate the working estates of Europe. He asked Richard Morris Hunt and Frederick Law Olmsted to design a village with architecturally compatible buildings and picturesque landscaping. He intended it to be a source of income through rental cottages, a place to help carry out philanthropic programs, and an easy point of ac...
The estate has been used on numerous occasions as a filming location for movies and television shows. These have included The Swan (1956), Being There (1979), The Private Eyes (1980), Mr. Destiny (1990), The Last of the Mohicans (1992), Forrest Gump (1994), Richie Rich (1994), My Fellow Americans (1996), Patch Adams (1998), Hannibal (2001) and The ...
e. In economics, the Gini coefficient ( / ˈdʒiːni / JEE-nee ), also known as the Gini index or Gini ratio, is a measure of statistical dispersion intended to represent the income inequality, the wealth inequality, or the consumption inequality [3] within a nation or a social group. It was developed by Italian statistician and sociologist ...
The White House is the official residence and workplace of the president of the United States. Located at 1600 Pennsylvania Avenue NW in Washington, D.C., it has served as the residence of every U.S. president since John Adams in 1800 when the national capital was moved from Philadelphia. [2]
Charles Dickens's birthplace, 393 Commercial Road, Portsmouth 2 Ordnance Terrace, Chatham, Dickens's home 1817 – May 1821 Charles Dickens was born on 7 February 1812 at 1 Mile End Terrace (now 393 Commercial Road), Landport in Portsea Island (), Hampshire, the second of eight children of Elizabeth Dickens (née Barrow; 1789–1863) and John Dickens (1785–1851).
