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  2. X Minus One - Wikipedia

    en.wikipedia.org/wiki/X_Minus_One

    X Minus One is an American half-hour science fiction radio drama series that was broadcast from April 24, 1955, to January 9, 1958, in various timeslots on NBC.Known for high production values in adapting stories from the leading American authors of the era, X Minus One has been described as one of the finest offerings of American radio drama and one of the best science fiction series in any ...

  3. List of X Minus One episodes - Wikipedia

    en.wikipedia.org/wiki/List_of_X_Minus_One_episodes

    April 3 Clifford D. Simak (adapted by William Welch) 47. "Star, Bright" April 10 Mark Clifton (adapted by George Lefferts) 48. "Jaywalker" April 17 Ross Rocklynne (adapted by George Leferts) 49. "The Sense of Wonder" April 24 Milton Lesser (adapted by George Lefferts) 50. "Sea Legs" May 1 Frank Quattrocchi (adapted by George Lefferts) 51.

  4. List of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/List_of_trigonometric...

    A formula for computing the trigonometric identities for the one-third angle exists, but it requires finding the zeroes of the cubic equation 4x 3 − 3x + d = 0, where is the value of the cosine function at the one-third angle and d is the known value of the cosine function at the full angle.

  5. Basel problem - Wikipedia

    en.wikipedia.org/wiki/Basel_problem

    The Basel problem is a problem in mathematical analysis with relevance to number theory, concerning an infinite sum of inverse squares.It was first posed by Pietro Mengoli in 1650 and solved by Leonhard Euler in 1734, [1] and read on 5 December 1735 in The Saint Petersburg Academy of Sciences. [2]

  6. 1 + 2 + 3 + 4 + ⋯ - ⋯ - Wikipedia

    en.wikipedia.org/wiki/1_%2B_2_%2B_3_%2B_4_%2B_%E...

    The first four partial sums of the series 1 + 2 + 3 + 4 + ⋯.The parabola is their smoothed asymptote; its y-intercept is −1/12. [1]The infinite series whose terms ...

  7. Multiplicative inverse - Wikipedia

    en.wikipedia.org/wiki/Multiplicative_inverse

    The reciprocal function: y = 1/x.For every x except 0, y represents its multiplicative inverse. The graph forms a rectangular hyperbola.. In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x −1, is a number which when multiplied by x yields the multiplicative identity, 1.

  8. Collatz conjecture - Wikipedia

    en.wikipedia.org/wiki/Collatz_conjecture

    As an illustration of this, the parity cycle (1 1 0 0 1 1 0 0) and its sub-cycle (1 1 0 0) are associated to the same fraction ⁠ 5 / 7 ⁠ when reduced to lowest terms. In this context, assuming the validity of the Collatz conjecture implies that (1 0) and (0 1) are the only parity cycles generated by positive whole numbers (1 and 2 ...

  9. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Exponentiation

    If exponentiation is considered as a multivalued function then the possible values of (−1 ⋅ −1) 1/2 are {1, −1}. The identity holds, but saying {1} = {(−1 ⋅ −1) 1/2 } is incorrect. The identity ( e x ) y = e xy holds for real numbers x and y , but assuming its truth for complex numbers leads to the following paradox , discovered ...