# Power laws and predicting the development of the web

In statistics, a power law is a functional relationship between two quantities, where a relative change in one quantity results in a proportional relative change in the other quantity, independent of the initial size of those quantities: one quantity varies as a power of another. ^{[2]}.

Related to web science (and this article in particular) we imagine for every new web site there is a rise in the total numberA unit of abstract mathematical system subject to the laws of arithmetic. of new connections. If I have 10 websites, I have a total

numberA unit of abstract mathematical system subject to the laws of arithmetic. of websites | total numberA unit of abstract mathematical system subject to the laws of arithmetic. of possible connections (n*(n-1)/2) |
---|---|

10 | 45 |

11 | 50 |

12 | 66 |

13 | 78 |

14 | 91 |

15 | 105 |

I don't think we can say this relationship reflects a powerlaw relationship:

## Do you understand this?

## Standards

These standards are used from the IB Computer Science Subject Guide^{[3]}

- DiscussOffer a considered and balanced review that includes a range of arguments, factors or hypotheses. Opinions or conclusions should be presented clearly and supported by appropriate evidence. whether power laws are appropriate to predictGive an expected result of an upcoming action or event. the development of the web.

## References

- ↑ http://www.flaticon.com/
- ↑ https://en.wikipedia.org/wiki/Power_law
- ↑ IB Diploma Programme Computer science guide (first examinations 2014). Cardiff, Wales, United Kingdom: International Baccalaureate Organization. January 2012.