- Quadratic growth
In

mathematics , a function or sequence is said to exhibitquadratic growth when its values are proportional to the square of the function argument or sequence position, in the limit as the argument or sequence position goes to infinity. That is, in big Theta notation, $f(x)=Theta(x^2)$.Examples of quadratic growth include

*Any

quadratic polynomial .*Certain

integer sequence s such as thetriangular number s. The "n"th triangular number has value "n"("n"+1)/2, approximately "n"^{2}/2.*The amount of time taken in the worst case by certain

algorithm s, such asinsertion sort , as a function of the input length.*The numbers of live cells in space-filling

cellular automaton patterns such as theBreeder (CA) , as a function of the number of time steps for which the pattern is simulated.**See also***

Exponential growth

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