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  2. Gaussian brackets - Wikipedia

    en.wikipedia.org/wiki/Gaussian_brackets

    In mathematics, Gaussian brackets are a special notation invented by Carl Friedrich Gauss to represent the convergents of a simple continued fraction in the form of a simple fraction.

  3. Hilbert's irreducibility theorem - Wikipedia

    en.wikipedia.org/wiki/Hilbert's_irreducibility...

    To see this, choose a monic irreducible polynomial f(X 1, ..., X n, Y) whose root generates N over E. If f(a 1, ..., a n, Y) is irreducible for some a i, then a root of it will generate the asserted N 0.) Construction of elliptic curves with large rank. [2] Hilbert's irreducibility theorem is used as a step in the Andrew Wiles proof of Fermat's ...

  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. Schur's theorem - Wikipedia

    en.wikipedia.org/wiki/Schur's_theorem

    For every positive integer c, S(c) denotes the smallest number S such that for every partition of the integers {, …,} into c parts, one of the parts contains integers x, y, and z with + =. Schur's theorem ensures that S(c) is well-defined for every positive integer c.

  6. What is ‘Disease X’ and why are experts worried? - AOL

    www.aol.com/disease-x-why-experts-worried...

    A 2022 statement from the World Health Organization (WHO), defines the term this way: “Disease X is [used] to indicate an unknown pathogen that could cause a serious international epidemic.”

  7. Today’s NYT ‘Strands’ Hints, Spangram and Answers for Monday ...

    www.aol.com/today-nyt-strands-hints-spangram...

    Move over, Wordle, Connections and Mini Crossword—there's a new NYT word game in town! The New York Times' recent game, "Strands," is becoming more and more popular as another daily activity ...

  8. Sarthak Ranjan - Wikipedia

    en.wikipedia.org/wiki/Sarthak_Ranjan

    Sarthak Ranjan (born 25 September 1996) is an Indian cricketer who plays for Delhi. [1] He made his Twenty20 debut on 2 January 2016 in the 2015–16 Syed Mushtaq Ali Trophy. [2]

  9. Elon Musk's X settles Donald Trump's free speech lawsuit ...

    www.aol.com/elon-musks-x-settles-donald...

    Reach her at kcrowley@gannett.com, and follow her on X and TikTok @kinseycrowley. This article originally appeared on USA TODAY: Elon Musk's X settles Trump lawsuit for $10 million, reports.