Duffalo

Apple chief executive John Ternus introduced Duo, a foldable iPhone, on Wednesday.

01Technology

Apple Unveils the iPhone Duo, a Foldable Phone That Costs $1,999

At the company’s annual September product event, Apple also demonstrated its work on artificial intelligence and other new devices.

Kalley HuangSep 9

Zoox, owned by Amazon, offers free rides in San Francisco, which has become a center for autonomous vehicle experiments.

02Technology

Can Zoox’s ‘Toaster on Wheels’ Conquer the Self-Driving Car Capital of America?

The Amazon-owned driverless car company is a distant second to Waymo. Its pitch to riders? Wine pop-ups, festival sponsorships and a car built to be filmed.

Emmy MartinSep 9

03Technology

The Building Blocks Hidden in A.I.: How Tokens Work

As large language models become more advanced, they use ever more resources. Who will foot the bill?

Aaron Krolik and Jacqueline GuSep 9

$Related to a set of equations about fluid mechanics, the “Navier–Stokes existence and smoothness problem” has long ranked among the great unsolved problems in mathematics.$

04Science

OpenAI Says It Has Cracked One of Math’s ‘Millennium Problems’

The company’s announcement is the most dramatic sign yet that artificial intelligence is fundamentally transforming the field of higher mathematics.

Cade MetzSep 8

Gov. Gavin Newsom’s actions follow a series of social media trials this year, in which thousands of teenagers, schools and states have accused Meta, Snap, TikTok and YouTube of hooking young users with products being compared to cigarettes.

05Technology

California’s Governor Signs Landmark Online Child Safety Bills

Gov. Gavin Newsom signed a bill that prohibits social media platforms from providing addictive features to users under 16, the first law of its kind in the nation.

Cecilia Kang and Laurel RosenhallSep 10

The report Anthropic published on Thursday cataloged a litany of misuses of its A.I. models, including the chatbot Claude, over the past eight months.

06Politics

Anthropic Says It Blocked Possible Efforts to Build Biological Weapons

In a new report, the A.I. start-up added that it could not determine whether the research was legitimate or nefarious, leading the company to shut down the work.

Dustin VolzSep 10

07Science

Glass Thinner Than a Human Hair: How the New iPhone Bends but Doesn’t Break

The screens of foldable phones are a triumph of materials science and microengineering.

William J. BroadSep 10

Apple’s iPhone Duo will cost $1,999 when it arrives in October to compete with Samsung’s $1,900 Galaxy foldable.

08Tech Fix

Foldable Phones Are Unpopular. Why Is Apple Selling One?

The company unveiled a new iPhone that costs $1,999. Here are the economics behind that price tag.

Brian X. ChenSep 10

A protest outside Anthropic’s offices in San Francisco.

09Technology

Anthropic Researchers Raise Alarm Over A.I. Acceleration

Their warnings echo concerns that other artificial intelligence experts have voiced in recent months, as calls increase for a slowdown in the pace of development.

Kate CongerSep 9

Established nuclear plants like Diablo Canyon in California tend to produce relatively affordable power.

10Energy Environment

Why California Is Reconsidering Its Decision to Shun Nuclear Power

The state is considering extending the life of its last nuclear power plant, Diablo Canyon, and allowing construction of new reactors to help meet its clean energy goals.

Ivan Penn and Adam PerezSep 9