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  2. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    For example, in the fraction ⁠ 3 / 4 ⁠, the numerator 3 indicates that the fraction represents 3 equal parts, and the denominator 4 indicates that 4 parts make up a whole. The picture to the right illustrates ⁠ 3 / 4 ⁠ of a cake. Fractions can be used to represent ratios and division. [1]

  3. Ratio - Wikipedia

    en.wikipedia.org/wiki/Ratio

    If the ratio consists of only two values, it can be represented as a fraction, in particular as a decimal fraction. For example, older televisions have a 4:3 aspect ratio, which means that the width is 4/3 of the height (this can also be expressed as 1.33:1 or just 1.33 rounded to two decimal places). More recent widescreen TVs have a 16:9 ...

  4. List of sums of reciprocals - Wikipedia

    en.wikipedia.org/wiki/List_of_sums_of_reciprocals

    The sum of the reciprocals of the pentatope numbers is ⁠ 4 / 3 ⁠ . Sylvester's sequence is an integer sequence in which each member of the sequence is the product of the previous members, plus one. The first few terms of the sequence are 2, 3, 7, 43, 1807 . The sum of the reciprocals of the numbers in Sylvester's sequence is 1.

  5. Particular values of the Riemann zeta function - Wikipedia

    en.wikipedia.org/wiki/Particular_values_of_the...

    It is known that ζ(3) is irrational (Apéry's theorem) and that infinitely many of the numbers ζ(2n + 1) : n ∈ , are irrational. [1] There are also results on the irrationality of values of the Riemann zeta function at the elements of certain subsets of the positive odd integers; for example, at least one of ζ (5), ζ (7), ζ (9), or ζ ...

  6. Septimal minor third - Wikipedia

    en.wikipedia.org/wiki/Septimal_minor_third

    In music, the septimal minor third, also called the subminor third (e.g., by Ellis [3] [4]) or septimal subminor third, is the musical interval exactly or approximately equal to a 7/6 ratio of frequencies. [5] In terms of cents, it is 267 cents, a quartertone of size 36/35 flatter than a just minor third of 6/5.

  7. Particular values of the gamma function - Wikipedia

    en.wikipedia.org/wiki/Particular_values_of_the...

    It is unknown whether these constants are transcendental in general, but Γ(⁠ 1 / 3 ⁠) and Γ(⁠ 1 / 4 ⁠) were shown to be transcendental by G. V. Chudnovsky. Γ(⁠ 1 / 4 ⁠) / 4 √ π has also long been known to be transcendental, and Yuri Nesterenko proved in 1996 that Γ(⁠ 1 / 4 ⁠), π, and e π are algebraically independent.

  8. NYT ‘Connections’ Hints and Answers Today, Friday, December 13

    www.aol.com/nyt-connections-hints-answers-today...

    3. Fizzy beverages with a sharp, zesty taste. 4. The words in this category sound like things from the animal kingdom. Related: 300 Trivia Questions and Answers to Jumpstart Your Fun Game Night.

  9. Geometric series - Wikipedia

    en.wikipedia.org/wiki/Geometric_series

    The geometric series is an infinite series derived from a special type of sequence called a geometric progression.This means that it is the sum of infinitely many terms of geometric progression: starting from the initial term , and the next one being the initial term multiplied by a constant number known as the common ratio .