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More formulas of this nature can be given, as explained by Ramanujan's theory of elliptic functions to alternative bases. Perhaps the most notable hypergeometric inversions are the following two examples, involving the Ramanujan tau function τ {\displaystyle \tau } and the Fourier coefficients j {\displaystyle \mathrm {j} } of the J-invariant ...
Sir Isaac Newton FRS (25 December 1642 – 20 March 1726/27 [a]) was an English polymath active as a mathematician, physicist, astronomer, alchemist, theologian, and author who was described in his time as a natural philosopher. [7]
The Rutherford scattering experiments were a landmark series of experiments by which scientists learned that every atom has a nucleus where all of its positive charge and most of its mass is concentrated. They deduced this after measuring how an alpha particle beam is scattered when it strikes a thin metal foil.
Aryna Sabalenka would not be denied hoisting the US Open championship trophy this year. Sabalenka, the world No. 2 from Belarus, defeated American Jessica Pegula 7-5, 7-5 at Arthur Ashe Stadium to ...
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.
Italian Jannik Sinner defeated American Taylor Fritz in straight sets in the U.S. Open men's final on Sunday. It was the first time Sinner, the world's No. 1, has won the title, and the first time ...
"The verbatims we heard were things like, 'Well, if I'm paying $500 for a premium card from Barclays or Amex or whatnot, then part of the service for me is phone,'" said Eric Buesing, a partner at ...
A wavy structure is easier to mass-produce than a prismatic one using conventional diamond machine tools, which are used to make the rollers used to imprint the wavy structure into plastic sheets, thus producing prism sheets. [112] A diffuser sheet is placed on both sides of the prism sheet to distribute the light of the backlight uniformly ...