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Exceptionally, the golden ratio is equal to the limit of the ratios of successive terms in the Fibonacci sequence and sequence of Lucas numbers: [42] φ. In other words, if a Fibonacci and Lucas number is divided by its immediate predecessor in the sequence, the quotient approximates . For example, and.
Taiwan,[II][k] officially the Republic of China (ROC),[I][l] is a country[27] in East Asia.[o] It is located at the junction of the East and South China Seas in the northwestern Pacific Ocean, with the People's Republic of China (PRC) to the northwest, Japan to the northeast, and the Philippines to the south. The territories controlled by the ...
History (derived from Ancient Greek ἱστορία (historía) 'inquiry; knowledge acquired by investigation') [1] is the systematic study and documentation of the human past. [2] [3] The period of events before the invention of writing systems is considered prehistory. [4] ". History" is an umbrella term comprising past events as well as the ...
JPMorgan Chase & Co. is an American multinational finance company headquartered in New York City and incorporated in Delaware.It is the largest bank in the United States and the world's largest bank by market capitalization as of 2023. As the largest of Big Four banks, the firm is considered systemically important by the Financial Stability Board.
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.
Bitcoin (abbreviation: BTC; sign: ) is the first decentralized cryptocurrency. Nodes in the peer-to-peer bitcoin network verify transactions through cryptography and record them in a public distributed ledger, called a blockchain, without central oversight. Consensus between nodes is achieved using a computationally intensive process based on proof of work, called mining, that guarantees the ...
Genghis Khan (born Temüjin; c. 1162 – 25 August 1227), also known as Chinggis Khan,[a] was the founder and first khan of the Mongol Empire, which he ruled from 1206 until his death in 1227; it later became the largest contiguous empire in history. After spending most of his life uniting the Mongol tribes, he launched a series of military ...
