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• Ring
  ...lgebra]], similar to a [[group]] or a [[field]]. A ring <math>R</math> is a [[set]] of elements closed under two [[operation]]s, usually called multipl * <math>(R,\cdot)</math> is a [[monoid]];
  6 KB (994 words) - 06:16, 8 April 2015
• 2007 AMC 10A Problems/Problem 20
  ...equation <math>4 = a + a^{ - 1}</math>. What is the value of <math>a^{4} + a^{ - 4}</math>? <math>\textbf{(A)}\ 164 \qquad \textbf{(B)}\ 172 \qquad \textbf{(C)}\ 192 \qquad \textbf{(D)
  4 KB (663 words) - 07:32, 4 November 2022
• 2018 AIME I Problems/Problem 12
  The question asks us for the probability that a randomly chosen subset of the set of the first 18 positive integers has the ...converted set based on <math>S = s(T')</math>, the sum of the elements of a subset <math>T'</math> of <math>U'</math>.
  26 KB (4,044 words) - 13:58, 24 January 2024