The best replacement for big o is big duo.

The best alternatives to big o are rated as following:
★★★★★  big duo
★★★★★  little o
★★★  big theta
★★  discount tire
★★  gypsy danger
★  les schwab
★  tilde notation
★  big omega
★  small o
★  gigantor
  megas

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big o
big duo
little o