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  2. St. Clair's defeat - Wikipedia

    en.wikipedia.org/wiki/St._Clair's_defeat

    St. Clair's defeat, also known as the Battle of the Wabash, the Battle of Wabash River or the Battle of a Thousand Slain, [3] was a battle fought on 4 November 1791 in the Northwest Territory of the United States. The U.S. Army faced the Western Confederacy of Native Americans as part of the Northwest Indian War.

  3. Collatz conjecture - Wikipedia

    en.wikipedia.org/wiki/Collatz_conjecture

    Equivalently, ⁠ 2n − 1 / 3 ⁠ ≡ 1 (mod 2) if and only if n2 (mod 3). Conjecturally, this inverse relation forms a tree except for a 12 loop (the inverse of the 12 loop of the function f(n) revised as indicated above). Alternatively, replace the 3n + 1 with ⁠ n ′ / H(n ′) ⁠ where n ′ = 3n + 1 and H(n ′) is the ...

  4. McKay equality - Wikipedia

    en.wikipedia.org/wiki/McKay_equality

    The McKay conjecture for the prime 2 was proven by Gunter Malle and Britta Späth in 2016. [ 8 ] An important step in proving the inductive McKay condition for all simple groups is to determine the action of the group of automorphisms Aut ( G ) {\displaystyle {\textrm {Aut}}(G)} on the set Irr ( G ) {\displaystyle {\textrm {Irr}}(G)} for each ...

  5. Battle of Altimarlach - Wikipedia

    en.wikipedia.org/wiki/Battle_of_Altimarlach

    The Battle of Altimarlach was a Scottish clan battle that took place on 13 July 1680, near Wick, Caithness, Scotland.It was fought in a dispute between Sir John Campbell of Glenorchy and George Sinclair of Keiss over who had the right to the title and lands of the Earl of Caithness.

  6. Cubic reciprocity - Wikipedia

    en.wikipedia.org/wiki/Cubic_reciprocity

    Cubic reciprocity is a collection of theorems in elementary and algebraic number theory that state conditions under which the congruence x 3 ≡ p (mod q) is solvable; the word "reciprocity" comes from the form of the main theorem, which states that if p and q are primary numbers in the ring of Eisenstein integers, both coprime to 3, the congruence x 3 ≡ p (mod q) is solvable if and only if ...

  7. Bertrand's postulate - Wikipedia

    en.wikipedia.org/wiki/Bertrand's_postulate

    In 1973, Denis Hanson proved that there exists a prime between 3n and 4n. [5] In 2006, apparently unaware of Hanson's result, M. El Bachraoui proposed a proof that there exists a prime between 2n and 3n. [6] El Bachraoui's proof is an extension of Erdős's arguments for the primes between n and 2n.

  8. Why Safiya Sinclair cut her dreadlocks and wrote a memoir of ...

    www.aol.com/news/why-safiya-sinclair-cut-her...

    In time, Sinclair would become a poet herself, winning a Whiting Award and publishing an acclaimed collection, “Cannibal,” in 2016. That experience motivated her to bring a poetic lyricism to ...

  9. Magic hexagon - Wikipedia

    en.wikipedia.org/wiki/Magic_hexagon

    A normal magic hexagon contains the consecutive integers from 1 to 3n 23n + 1. Normal magic hexagons exist only for n = 1 (which is trivial, as it is composed of only 1 cell) and n = 3. Moreover, the solution of order 3 is essentially unique. [1] Meng gives a less intricate constructive proof. [2] The order-3 magic hexagon has been ...