The second-seeded Cardinals, the tournament's defending champions, advanced with a 74-55 win over Villanova.
The teams went the distance last year in the second round, and the Rangers advanced with a home victory.
Caroline Wozniacki also advanced with a 6-1 6-0 win over American Vania King.
Serbia beat the United States, Russia ousted India, while Chile advanced with a 4-1 win at the expense of Israel.
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Top seeds Maria Sharapova and Yanina Wickmayer advanced with wins over Renata Voracova (6-3 7-5) and Sabine Lisicki (6-2 3-6 6-2) respectively.
Marquette advanced with a 71-61 victory over Miami, the first win in the round of 16 for the Golden Eagles after losses the last two seasons.
American Andy Roddick advanced with a 6-3 6-4 6-1 success over Dutch world No. 53 Robin Haase, and the 15th seed will next play fellow former world No. 1 Lleyton Hewitt of Australia.
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Number 24 seed Daniela Hantuchova advanced with a 6-3 6-4 win against Safina, who was the tournament's top seed in 2009 but has slipped to 50th in the world after missing almost three months of the season with a back injury.
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They argued the second process should not have taken place because essentially the same charges were advanced with no fresh evidence, that it was an abuse of process, and that there was a failure to give any legitimate reason why it was fair to reopen the matter.
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With top-ranked Azarenka and Serena Williams on the other half of the draw, Radwanska's main obstacles to reaching the final are 2011 French Open champion Li Na, who beat Olga Goortsova of Belarus 6-2, 7-5 to reach the third round, and potential semifinal rivals Sharapova or No. 5 Angelique Kerber, who advanced with a 6-3, 6-1 win over Lucie Hradecka.
Excerpt: Hancock held himself back, did not know Couch well, but there was something in the man, something quiet and dark and dangerous, something he had begun to see in a few of the others, had seen it now in himself, that nameless thing: Men who advanced with their troops and did not hear the muskets and stepped over their dead without looking down.
However, those older women who still had independent lives may be able to tolerate the treatment and so cancer specialists should not assume all elderly women with advanced cancer cannot cope with the drugs.
It was impossible to imagine anything like it, even though I'd always dealt with the most advanced technologies, with outer space technologies.
In the latest investigation, researchers looked at 1, 101 women with advanced ovarian cancer, 389 with borderline or early disease and 1, 832 women without the condition.
In 2011 she added a center for advanced therapeutics with a bone marrow transplant unit.
Others care about advanced training with an associated certificate of accomplishment or diploma or tuition reimbursement.
Windows 3.0 had significantly better performance, including advanced graphics with 16 colors (16, 777, 216 colors in most screens today).
Waterford Wedgwood has said it was in advanced talks with a potential investor but would give no more details.
The company said the sequential drop in gross margin reflects higher shipments of advanced products with higher manufacturing costs.
Harland and Wolff management are currently in advanced negotiations with a Norwegian firm over a contract to build four passenger vessels.
In addition to nukes, OR-SAGE also examines advanced coal with carbon capture and storage, solar and compressed air energy power plants.
De Savary owns the land to be developed on Grenada, and the duo is in advanced negotiations with several global investors.
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The new facility near Tongchang is far more advanced, with a 100-foot-tall launch tower and a below-ground tunnel to direct rocket exhaust.
So far, Avtovaz's snooty managers have spurned foreign approaches (although there are well-advanced talks with General Motors about assembling cars under licence).
"The university is in advanced dialogue with Wefo and is fully confident that payments will resume shortly upon completion of the review".
The series achieves the ultimate in advanced design with a stunning display.
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The paper concluded that advanced economies with debt in excess of 90% of their Gross Domestic Product suffer a diminution of economic growth.
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Shares in Australia's big four banks also advanced, with Commonwealth Bank of Australia, National Australia Bank, ANZ and Westpac up between 0.3% and 1.2%.
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