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  2. Mediant (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Mediant_(mathematics)

    However, if the fraction 1/1 is replaced by the fraction 2/2, which is an equivalent fraction denoting the same rational number 1, the mediant of the fractions 2/2 and 1/2 is 3/4. For a stronger connection to rational numbers the fractions may be required to be reduced to lowest terms, thereby selecting unique representatives from the ...

  3. 1/4 + 1/16 + 1/64 + 1/256 + ⋯ - ⋯ - Wikipedia

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

    Today, a more standard phrasing of Archimedes' proposition is that the partial sums of the series 1 + ⁠ 1 / 4 ⁠ + ⁠ 1 / 16 ⁠ + ⋯ are: + + + + = +. This form can be proved by multiplying both sides by 1 − ⁠ 1 / 4 ⁠ and observing that all but the first and the last of the terms on the left-hand side of the equation cancel in pairs.

  4. List of mathematical series - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_series

    An infinite series of any rational function of can be reduced to a finite series of polygamma functions, by use of partial fraction decomposition, [8] as explained here. This fact can also be applied to finite series of rational functions, allowing the result to be computed in constant time even when the series contains a large number of terms.

  5. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    The reciprocal of a proper fraction is improper, and the reciprocal of an improper fraction not equal to 1 (that is, numerator and denominator are not equal) is a proper fraction. When the numerator and denominator of a fraction are equal (for example, ⁠ 7 / 7 ⁠), its value is 1, and the fraction therefore is improper. Its reciprocal is ...

  6. Unit fraction - Wikipedia

    en.wikipedia.org/wiki/Unit_fraction

    Slices of approximately 1/8 of a pizza. A unit fraction is a positive fraction with one as its numerator, 1/ n.It is the multiplicative inverse (reciprocal) of the denominator of the fraction, which must be a positive natural number.

  7. 1/2 + 1/4 + 1/8 + 1/16 + ⋯ - ⋯ - Wikipedia

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

    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, this may be expressed as

  8. Tesla Nears New All-Time Highs. What's Coming in 2025? - AOL

    www.aol.com/tesla-nears-time-highs-whats...

    In this week's video, I cover need-to-know news about Tesla (NASDAQ: TSLA) from the week of Dec. 2. Check out the short video to learn more, consider subscribing, and click the special offer link ...

  9. File:Sum of powers of two including fractions.svg - Wikipedia

    en.wikipedia.org/wiki/File:Sum_of_powers_of_two...

    sum of powers of two including fractions: Image title: Demonstration that the sum of powers of two from zero to a given power, inclusive, is 1 less than the next power of two, whereas the sum of powers of two from minus-infinity to a given power, inclusive, equals the next power of two by CMG Lee. Width: 100%: Height: 100%

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