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Try this thread Google Say It Ignores Stop Words.. [webmasterworld.com]
Added: Nuevojefe beat me to the punch
To prove that Google still ignores the stop word you can enter another stop word in its place. For example, if you entered "search1 for search2" try "search1 to search2" and you'll see the results are the same.
Although in the basic papers it also says that stopwords are those ignored from calculation, of course they do indeed influence factors like proximity, number of words and so on.
We should also expect that lexical analysis of websites has been drive much farther meanwhile, and that the role of stopwords may have been included in the algos in a manner far beyond mere statistical analysis.
But wherever todays state of research may be located, it should be quite clear that an algorithmic analysis of stopwords reveals excellent means to decide natural language texts from spam. If you contribute a very helpful and interesting page on a given topic to the web, your major keywords are quite likely to come up with all sorts of combinations of stopwords and secondary keywords, which means apart from all differences in the given search queries your interesting page is expected to be top in most cases.
I will be impressed when my site that lists venture capital firms in Illinois stops showing up when people query Google to find the "capital of Illinois" (it's Springfield by the way).
That "of" in front of Illinois should lead Google not to show my pages, but it doesn't do that yet. Understandably, "Illinois capital" would be tough to discern the true intent of the searcher.