The No. 1-ranked Osaka beat qualifier Yanina Wickmayer 6-0, 6-7 (3), 6-1, but she and Williams both found the mix of sun and shadows in the cavernous stadium a challenge.
"It's depressing", Osaka said of the streak coming to an end. "Of course I want to win every match and I think I have dealt with people always asking me if I am going to win because I have number one next to my name", added the Japanese star.
"It was a great atmosphere, " Federer said of playing at the Miami Dolphins' Hard Rock Stadium, the tournament's new center court after the event moved this year from Key Biscayne. "I thought that was probably the most realistic way of thinking", she admitted.
The American also withdrew at Indian Wells with illness midway through her last-32 match with Spaniard Garbine Muguruza and there are surely doubts now whether she can add to her tally of 23 singles Grand Slams, something which has so far proved beyond her since returning from a 13-month motherhood hiatus a year ago.
The former world number one started the Miami Open with a tough three-set victory over Rebecca Peterson of Sweden, winning 6-3, 1-6, 6-1 to reach the third round.
Osaka, who lost in the fourth round at Indian Wells and could lose her number one ranking depending on how others do in the tournament, said the mental side of her game had let her down.
"I think I played pretty good if I get over the fact that I lost". "I got ahead of myself".
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Lastly, Tabichi must continue to teach or provide educational support to students for a period of five years after the awarding of the Prize.
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The wily Hsieh staved off four break points to grab a 3-0 lead in the first set before Osaka fought back. "It's so different from anything I've played on in my entire career, so I was super excited".
The Canadian had won the Indian Wells title last week and this time she beat Angelique Kerber 6-4, 4-6, 6-1 to notch her 10th successive win. She hasn't won any tournament since the 2017 Australian Open, before she took a break of more than a year to become a mom.
Hsieh needed two hours and 18 minutes to send the Japanese star packing 4-6, 7-6 (4), 6-3 in the third round match on Saturday, Xinhua news agency reported.
No. 5-seeded Kei Nishikori was upset by Dusan Lajovic 2-6, 6-2, 6-3.
It was Hsieh's fourth victory over a top-five player in the past 14 months. Wozniacki has won all four of her previous encounters against the Taiwanese.
Defending Miami Open champion Sloane Stephens beat Ons Jabeur 6-2, 6-3.
Three-time champion Venus Williams overcame a wobbly start to beat No. 24 Carla Suarez Navarro 7-6 (4), 6-1.