Lesson plan

Omega function

In mathematics, omega function refers to a function using the Greek letter omega, written ω or Ω. \Omega (big omega) may refer to: * The lower bound in Big O notation, f \in \Omega (g)\,\! , meaning that the function f\,\! dominates g\,\! in some limit * The prime omega function \Omega(n)\,\! , giving the total number of prime factors of n\,\! , counting them with their multiplicity. * The Lambert W function \Omega(x)\,\! , the inverse of y = x\cdot e^{x} \,\! , also denoted W(x)\,\! . * Absolute infinity \omega (omega) may refer to: * The Wright omega function \omega(x)\,\! , related to the Lambert W Function * The Pearson–Cunningham function \omega_{m,n}(x) * The prime omega function \omega(n)\,\! , giving the number of distinct prime factors of n\,\! .

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Article summary

In mathematics, omega function refers to a function using the Greek letter omega, written ω or Ω. \Omega (big omega) may refer to: * The lower bound in Big O notation, f \in \Omega (g)\,\! , meaning that the function f\,\! dominates g\,\! in some limit * The prime omega function \Omega(n)\,\! , giving the total number of prime factors of n\,\! , counting them with their multiplicity. * The Lambert W function \Omega(x)\,\! , the inverse of y = x\cdot e^{x} \,\! , also denoted W(x)\,\! . * Absolute infinity \omega (omega) may refer to: * The Wright omega function \omega(x)\,\! , related to the Lambert W Function * The Pearson–Cunningham function \omega_{m,n}(x) * The prime omega function \omega(n)\,\! , giving the number of distinct prime factors of n\,\! .

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  1. Summarise the article in your own words. Which single claim would you verify first, and why?
  2. Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
  3. If two sources disagreed about one of these facts, what would you need in order to trust one over the other?

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