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With Nadal sent packing, second-seeded Andy Murray is now the top ranking player remaining, thanks to a 6-4, 3-6, 6-3 victory over thirteenth-seeded Stanislaus Wawrinka.
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Since the World Chess Federation began ranking players more than 40 years ago, only one, Judit Polgar of Hungary, has been in the top 100.
The Elo rating system was originally developed for rating chess players, nowadays it is widely used for ranking players of many other games.
Now, how do we know whether one statistical measure is a better guide to ranking players than another?
Errani is the lowest ranked player to reach the final since the world rankings were launched 37 years ago.
Before Thursday, the highest ranked player Rus had beaten was No. 37 Anabel Medina Garrigues.
Born in Chile, he was a highly ranked player, Fide 2493 in 2004.
He has spent 302 weeks as the No 1 ranked player in the world, 237 consecutively.
Darren Clarke of Northern Ireland, the highest ranked player in the field, missed the cut by 10 strokes.
She will be the third lowest ranked player Williams has faced in a slam semi-final.
Watson is the seventh ranked player in the world, with Thomas 32nd.
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