Arrange the Following Functions in a List So Each Is $O$

question 45

Short Answer

Arrange the following functions in a list so each is big- $O$ of the next one in the list: log $n ^ { 2 }$ , log log $n , n$ log $n$ $\log \left( n ^ { 2 } + 1 \right) , \log 2 ^ { n }$

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Definitions:

Standard Error

The standard deviation of the sampling distribution of a statistic, most commonly the mean, which provides a measure of its precision.

Mean Time

The average value of time taken for an event to occur, commonly used in the context of mean time to failure or mean time between failures in reliability engineering.

Standard Deviation

A measure of the amount of variation or dispersion in a set of values, showing how much the values deviate from the mean.

Margin of Error

The range within which the true value is expected to lie with a certain level of confidence, often used in survey results to indicate the precision of estimates.