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where f (2k−1) is the (2k − 1)th derivative of f and B 2k is the (2k)th Bernoulli number: B 2 = 1 / 6 , B 4 = − + 1 / 30 , and so on. Setting f ( x ) = x , the first derivative of f is 1, and every other term vanishes, so [ 15 ]
Name First elements Short description OEIS Mersenne prime exponents : 2, 3, 5, 7, 13, 17, 19, 31, 61, 89, ... Primes p such that 2 p − 1 is prime.: A000043 ...
Quinary (base 5 or pental [1] [2] [3]) is a numeral system with five as the base. A possible origination of a quinary system is that there are five digits on either hand . In the quinary place system, five numerals, from 0 to 4 , are used to represent any real number .
The idea becomes clearer by considering the general series 1 − 2x + 3x 2 − 4x 3 + 5x 4 − 6x 5 + &c. that arises while expanding the expression 1 ⁄ (1+x) 2, which this series is indeed equal to after we set x = 1.
The unary numeral system is the simplest numeral system to represent natural numbers: [1] to represent a number N, a symbol representing 1 is repeated N times. [2]In the unary system, the number 0 (zero) is represented by the empty string, that is, the absence of a symbol.
OldVersion.com is an archive website that stores and distributes older versions of primarily Internet-related IBM PC compatible and Apple Macintosh freeware and shareware application software. Alex Levine and Igor Dolgalev [2] founded the site in 2001. [1] Levine created the site because "Companies make a lot of new versions.
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A "personal computer" version of Windows is considered to be a version that end-users or OEMs can install on personal computers, including desktop computers, laptops, and workstations. 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 ...