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  2. Simpson's rule - Wikipedia

    en.wikipedia.org/wiki/Simpson's_rule

    Namely, composite Simpson's 1/3 rule requires 1.8 times more points to achieve the same accuracy as trapezoidal rule. [8] Composite Simpson's 3/8 rule is even less accurate. Integration by Simpson's 1/3 rule can be represented as a weighted average with 2/3 of the value coming from integration by the trapezoidal rule with step h and 1/3 of the ...

  3. Farey sequence - Wikipedia

    en.wikipedia.org/wiki/Farey_sequence

    In mathematics, the Farey sequence of order n is the sequence of completely reduced fractions, either between 0 and 1, or without this restriction, [ a] which when in lowest terms have denominators less than or equal to n, arranged in order of increasing size. With the restricted definition, each Farey sequence starts with the value 0, denoted ...

  4. Forty Six & 2 - Wikipedia

    en.wikipedia.org/wiki/Forty_Six_&_2

    Forty Six & 2" is a song by American rock band Tool. It was released as the fourth single from their second studio album Ænima in 1996 and received radio airplay. [ 1 ] In March 2023, Rolling Stone ranked "Forty Six &2" at number 53 on their "100 Greatest Heavy Metal Songs of All Time" list.

  5. Continued fraction - Wikipedia

    en.wikipedia.org/wiki/Continued_fraction

    Continued fraction. A finite regular continued fraction, where is a non-negative integer, is an integer, and is a positive integer, for . In mathematics, a continued fraction is an expression obtained through an iterative process of representing a number as the sum of its integer part and the reciprocal of another number, then writing this ...

  6. Microsoft Office 95 - Wikipedia

    en.wikipedia.org/wiki/Microsoft_Office_95

    Microsoft Office 95 (version 7.0) [ a] is a major release of Microsoft Office, released by Microsoft on August 24, 1995. [ 5] It is the successor to both Office 4.2 and 4.3. It is officially supported on Windows NT 3.51 through Windows Me. [ 3] Support for Microsoft Office 95 ended on December 31, 2001. [ 6]

  7. Numeric precision in Microsoft Excel - Wikipedia

    en.wikipedia.org/wiki/Numeric_precision_in...

    Excel's storage of numbers in binary format also affects its accuracy. [3] To illustrate, the lower figure tabulates the simple addition 1 + x − 1 for several values of x. All the values of x begin at the 15 th decimal, so Excel must take them into account. Before calculating the sum 1 + x, Excel first approximates x as a binary number

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

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

    1/2 − 1/4 + 1/8 − 1/16 + ⋯. Demonstration that 1 2 − 1 4 + 1 8 − 1 16 + ⋯ = 1 3. In mathematics, the infinite series 1/2 − 1/4 + 1/8 − 1/16 + ⋯ is a simple example of an alternating series that converges absolutely . It is a geometric series whose first term is 1 2 and whose common ratio is − 1 2, so its sum is.

  9. Machine taper - Wikipedia

    en.wikipedia.org/wiki/Machine_taper

    A machine taper is a system for securing cutting tools or toolholders in the spindle of a machine tool or power tool. A male member of conical form (that is, with a taper) fits into the female socket, which has a matching taper of equal angle . Almost all machine tool spindles, and many power tool spindles, have a taper as their primary method ...