As Donald J. Trump prepares to take the oath of office for a second time, much of the world seems to be bowing down to him and demoralized opponents are rethinking the future.

New York and Vermont recently passed laws like these, which require energy companies to pay climate damages and will likely face fierce challenges.

While TikTok remains hugely popular in Brazil, Indonesia and other markets, its 170 million users in the United States are its most valuable.

Regulators filed a lawsuit in federal court stemming from Mr. Musk’s $44 billion purchase of the social media company now called X.

OpenAI said it would be restructured as a public benefit corporation, and that the nonprofit that controls the organization would receive shares in the new company.

Carrboro accused Duke, one the nation’s largest utility companies, of ignoring data about climate change while increasing use of fossil fuels.

© Jeff Amy/Associated Press

The company has been accused of using algorithms to deny treatments and refusing coverage of nursing care to stroke patients.

© Christopher Lee for The New York Times