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  2. 1/4 + 1/16 + 1/64 + 1/256 + ⋯ - Wikipedia

    en.wikipedia.org/wiki/1/4_%2B_1/16_%2B_1/64_%2B...

    1/4 + 1/16 + 1/64 + 1/256 + ⋯. In mathematics, the infinite series ⁠ 1 4 ⁠ + ⁠ 1 16 ⁠ + ⁠ 1 64 ⁠ + ⁠ 1 256 ⁠ + ⋯ is an example of one of the first infinite series to be summed in the history of mathematics; it was used by Archimedes circa 250–200 BC. [1] As it is a geometric series with first term ⁠ 1 4 ⁠ and common ...

  3. 1/2 − 1/4 + 1/8 − 1/16 + ⋯ - Wikipedia

    en.wikipedia.org/wiki/1/2_%E2%88%92_1/4_%2B_1/8...

    Pairing up the terms of the series 1 / 2 − 1 / 4 + 1 / 8 − 1 / 16 + ⋯ results in another geometric series with the same sum, 1 / 4 + 1 / 16 + 1 / 64 + 1 / 256 + ⋯. This series is one of the first to be summed in the history of mathematics ; it was used by Archimedes circa 250–200 BC.

  4. 1/2 + 1/4 + 1/8 + 1/16 + ⋯ - Wikipedia

    en.wikipedia.org/wiki/1/2_%2B_1/4_%2B_1/8_%2B_1/...

    1/2 + 1/4 + 1/8 + 1/16 + ⋯. First six summands drawn as portions of a square. The geometric series on the real line. 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. In summation notation ...

  5. Binomial theorem - Wikipedia

    en.wikipedia.org/wiki/Binomial_theorem

    In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.According to the theorem, it is possible to expand the polynomial (x + y) n into a sum involving terms of the form ax b y c, where the exponents b and c are nonnegative integers with b + c = n, and the coefficient a of each term is a specific positive integer depending ...

  6. SS X-1 - Wikipedia

    en.wikipedia.org/wiki/SS_X-1

    None. X-1 (or SS X-1) [1] was a United States Navy Midget Submarine designed under project SCB 65. Laid down on 8 June 1954, at Deer Park, Long Island, New York, by the Engine Division of Fairchild Engine and Airplane Corporation. Launched on 7 September 1955, at Oyster Bay, Long Island, by Jakobson Shipyard. Delivered to the Navy on 6 October ...

  7. Data compression ratio - Wikipedia

    en.wikipedia.org/wiki/Data_compression_ratio

    Data compression ratio is defined as the ratio between the uncompressed size and compressed size: = Thus, a representation that compresses a file's storage size from 10 MB to 2 MB has a compression ratio of 10/2 = 5, often notated as an explicit ratio, 5:1 (read "five" to "one"), or as an implicit ratio, 5/1.

  8. List of medical roots, suffixes and prefixes - Wikipedia

    en.wikipedia.org/wiki/List_of_medical_roots...

    Second, medical roots generally go together according to language, i.e., Greek prefixes occur with Greek suffixes and Latin prefixes with Latin suffixes. Although international scientific vocabulary is not stringent about segregating combining forms of different languages, it is advisable when coining new words not to mix different lingual roots.

  9. Cygnus X-1 - Wikipedia

    en.wikipedia.org/wiki/Cygnus_X-1

    Cygnus X-1 (abbreviated Cyg X-1) is a galactic X-ray source in the constellation Cygnus and was the first such source widely accepted to be a black hole. It was discovered in 1965 during a rocket flight and is one of the strongest X-ray sources detectable from Earth, producing a peak X-ray flux density of 2.3 × 10 −23 W/(m 2 ⋅Hz) (2.3 × 10 3 jansky).