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In mathematics, the infinite series 1 2 + 1 4 + 1 8 + 1 16 + ··· is an elementary example of a geometric series that converges absolutely. The sum of the series is 1.
Zero to the power of zero, denoted by 00, is a mathematical expression that is either defined as 1 or left undefined, depending on context. In algebra and combinatorics, one typically defines 00 = 1.
Lists of Billboard number-one singles This is a list of songs that have peaked at number one on the Billboard Hot 100 and the magazine's national singles charts that preceded it. Introduced in 1958, the Hot 100 is the pre-eminent singles chart in the United States, currently monitoring the most popular singles in terms of popular radio play, single purchases and online streaming .
World War I [j] or the First World War (28 July 1914 – 11 November 1918) was a global conflict between two coalitions: the Allies (or Entente) and the Central Powers. Fighting took place mainly in Europe and the Middle East, as well as parts of Africa and the Asia-Pacific, and was characterised by trench warfare and the use of artillery ...
Positive powers In decimal notation the n th power of ten is written as '1' followed by n zeroes. It can also be written as 10 n or as 1E n in E notation. See order of magnitude and orders of magnitude (numbers) for named powers of ten. There are two conventions for naming positive powers of ten, beginning with 10 9, called the long and short scales. Where a power of ten has different names in ...
Definition[edit] The Taylor series of a real or complex-valued function f(x), that is infinitely differentiable at a real or complex number a, is the power series Here, n! denotes the factorial of n. The function f(a) denotes the n th derivative of f evaluated at the point a. The derivative of order zero of f is defined to be f itself and (x − a) and 0! are both defined to be 1. This series ...
The first five versions of Windows– Windows 1.0, Windows 2.0, Windows 2.1, Windows 3.0, and Windows 3.1 –were all based on MS-DOS, and were aimed at both consumers and businesses. However, Windows 3.1 had two separate successors, splitting the Windows line in two: the consumer-focused "Windows 9x" line, consisting of Windows 95, Windows 98 ...
The Lord of the Rings: The Rings of Power premiered on September 1, 2022, with its first two episodes. The rest of the eight-episode first season was released through October. Amazon said the season was the most-watched of any Prime Video original series, and it received generally positive reviews from critics.
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