# Mathematical Logic behind the Google PageRank

A Rough Estimation of How PageRank is Assigned
There are around 200-250 factors PageRank for any webpage depends on. A probability is articulated as a numeric assessment between 0 and 1. A 0.5 probability is normally expressed as a "50% chance" of an event to occur. On similar basis, a PageRank of 0.5 implies there is a 50% chance that a person going to click on a random link will be taken to the document which is having a PageRank of 0.5.Lets consider a small system of four web pages: M, N, O and P. The preliminary estimation of PageRank would be consistently divided between these four pages. Hence, each page will be beginning with an estimated PageRank of 0.25.
Here a simple probability distribution will be used—hence the initial value of 0.25.
If pages N, O and P each only link to M, they will each be award 0.25 PageRank to M. All PageRank PR() in this unsophisticated system will be thus congregating to M because all the links are pointing to M.

PR(M)= PR(N)/2+ PR(O)/1+ PR(P)/3

Alternatively we can say that, the PageRank awarded by an outbound link is equal to the document's own PageRank score divided by the normalized number of outbound links L() (it is assumed that links to specific URLs only count once per document).

PR(M) = PR(N)/L(N) + PR(O)/L(O)+ PR(P)/L(P)

Generally, the PageRank for any page u can be formulated as:

i.e. the PageRank value for a page u will depend upon PageRank value for each page v out of the set Bu (those set which are containing pages linking to page u), divided by the number L(v) of links from page v.

Factors That Influences PageRank:

• How frequent is the keyword within that Web page: If the keyword only comes out less in the body of a page, it will be receiving a low score for that particular keyword.
• How long the Web page has been existing: every day new Web pages are being generated, and not all of them persist long. Google places more value on pages with an older age.
• How many Web pages are linking to the page: Google looks at how many                                                              Web pages link to a particular site to determine its relevance.
• What is the PageRank and domain of the page linking to this page: Well By domain here I mean whether the page linking is related to the interest of the page or not.
Hope You have liked the Post If yes then kindly share, twit, +1, subscribe, suggest  comment,  like or bookmark You can also put your queries.

You Might Also Like These Popular Posts:

Hope you Enjoyed This Post, Please Take 2 Seconds To Share It. Did I miss any point or do you want to add or ask anything to it, do let us know in the comment.

#### 1 comment:

1. The way google calculates could be very different. No one knows. By the way nice interpretation.
here my blog: save emails from blacklist