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courses:cs211:winter2018:journals:holmesr:section_2.2 [2018/01/21 00:58] holmesrcourses:cs211:winter2018:journals:holmesr:section_2.2 [2018/01/21 00:58] (current) holmesr
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 It is also important to note that asymptotic growth rates have properties of transitivity (if f is bounded by g and g is bounded by h, f is bounded by h so long as f and g are both bounded in the same direction) and the ability to be summed (if f is upper bounded by h and g is upper bounded by h, f+g is upper bounded by h). It is also important to note that asymptotic growth rates have properties of transitivity (if f is bounded by g and g is bounded by h, f is bounded by h so long as f and g are both bounded in the same direction) and the ability to be summed (if f is upper bounded by h and g is upper bounded by h, f+g is upper bounded by h).
  
-Finally, the section includes a brief treatment of asymptotic bounds for common functions. Summarily, it states that for some constants d > 0 r > 0 and n >= 1, O(log n) < O(n<sup>d</sup>) < O(r<sup>n</sup>.+Finally, the section includes a brief treatment of asymptotic bounds for common functions. Summarily, it states that for some constants d > 0 r > 0 and n >= 1, O(log n) < O(n<sup>d</sup>) < O(r<sup>n</sup>).
  
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