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  • ...s or [[antichain]]s in [[poset]]s. Specifically, it ask for the number of order ideals of the [[product poset]] of the [[chain]] of length <math>4</math> a
    2 KB (443 words) - 21:41, 22 December 2021
  • * The ideal <math>(2)</math> becomes <math>(1+i)^2</math>; * For <math>p \equiv 1 \pmod{4}</math>, the ideal <math>(p)</math> becomes <math>(a+bi)(a-bi)</math>, for some <math>a,b</mat
    4 KB (612 words) - 20:31, 7 January 2025
  • ...The ideal rate of speech is 150 words per minute. If Julie speaks at the ideal rate, which of the following number of words would be an appropriate length ...up in single file. What is the probability that they are in alphabetical order from front-to-back?
    12 KB (1,702 words) - 11:35, 6 November 2022
  • ...icit assumption was that <math>\mathbb{Z}[\omega]</math> was a [[principal ideal domain]], later shown to be false. ...to order and [[multiplication]] by [[unit (ring theory)|units]]. The first order of business is to explore when unique factorization holds.
    10 KB (1,646 words) - 14:04, 28 May 2020
  • ...math>, giving <math>a = \frac{x^2}{2} + \frac{1}{2}</math>. We see that in order to find the range in which <math>a</math> lies, we must find the vertex of In order to solve for the values of <math>a</math>, we need to just count multiplici
    10 KB (1,671 words) - 20:03, 11 October 2024
  • ...hing more agreeable, now is the ideal time to get your security affairs in order
    7 KB (1,112 words) - 11:38, 27 September 2024