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[yoursite.com...] and [yoursite.com...] are indexed separately in Google and so they have different PageRanks. In my admittedly brief and very limited experience, unless the site's main page is named "index.html", "index.htm" or "index.shtml" Google will not automatically cononicalize the URL with the root URL of your site. So, in other words, in all of your internal links, its important to use the root URL "http://www.yoursite.com/" instead of "home.html" when you reference the site's main page. I'd say its important enough that you may want to set up a 301 redirect from home.html to the root URL so Google will begin to merge all of its information on the two records as soon as possible. Otherwise, the googlebot is likely to keep finding "home.html" and keep a separate record for a long time to come.
http://www.yoursite.com and [yoursite.com...] are indexed separately in Google and so they have different PageRanks.
As far as google is concerned they are two seperate pages.
Google ranks (and calculates PR) by page, not domain.
Think pages with google.
TJ
At least thats what happened to me. I had different PR values depending on whether the www part was added.
Alan
Don't forget based upon the / vs. /home.html from BallochBD's original post, these all could be seen as different pages with differing PR even though logically they are the same in this case as they would take you to the same actual content:
www.domain.com/
domain.com/
www.domain.com/home.html
domain.com/home.html
Remember, technically there could be different content for all 4 of these urls.
I understand that these are potentially different websites but for the life of me I cannot think of any circumstances where someone would use them as such or require them to be indexed as such. This would just be asking for trouble.
I know someone will now come along with an example of a situation where just such a thing would perhaps be required but essentially they are always a single site. It would probably be better that the SE robots treated tham as such and let those who does not want this sort it out for themselves. Wouldn't it make more sense to please the majority? I certainly think so. (My 2p :o)