awarded the JEDI contract to Microsoft. Amazon sued to block the contract, claiming that Microsoft did not have the technical capabilities to fulfill the military’s needs and that former President Donald J. Trump had improperly influenced the decision because of animosity toward Jeff Bezos, Amazon’s executive chairman and the owner of The Washington Post.

In July, the Defense Department announced that it could no longer wait for the legal fight with Amazon to resolve. It scrapped the JEDI contract and said it would be replaced with the Joint Warfighting Cloud Capability.

The Pentagon also noted that Amazon and Microsoft were the only companies that likely had the technology to meet its needs, but said it would conduct market research before ruling out other competitors. The Defense Department said it planned to reach out to Google, Oracle and IBM.

But Google executives believe they have the capability to compete for the new contract, and the company expects the Defense Department to tell it whether it will qualify to make a bid in the coming weeks, two people familiar with the matter said.

The Defense Department has previously said it hopes to award a contract by April.

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‘Crucial Time’ for Cloud Gaming, Which Wants to Change How You Play

Mr. Buser declined to comment on February’s changes.

Amazon also unveiled a cloud service, Luna, in September. It is so far available only to invitees, who pay $6 a month to play the 85 games on the platform. The games can be streamed from the cloud to phones, computers and Amazon’s Fire TV.

Like Google, Amazon has struggled to assemble a vast library of appealing games, though it does offer games from the French publisher Ubisoft for an added fee. Amazon has also had trouble developing its own games, which Mr. van Dreunen said showed that the creative artistry necessary to make enticing games was at odds with the more corporate style of the tech giants.

“They may have an interesting technological solution, but it totally lacks personality,” he said.

Amazon said it remained dedicated to game development: It opened a game studio in Montreal in March and, after a long delay, is releasing a game called New World this summer.

Even console makers have jumped into cloud gaming. Microsoft, which makes the Xbox console, released a cloud offering, xCloud or Xbox Cloud Gaming, last fall. For a $15 monthly subscription, users can play more than 200 games on various devices.

Sony also has a cloud gaming service, PlayStation Now, where games can be streamed to PlayStation consoles and computers.

Satya Nadella, Microsoft’s chief executive, said in an interview last month that he did not think it was possible to be a gaming company “with any level of big ambition” without cloud gaming. Sony declined to comment.

Other companies have waded in, too. Nvidia, the chip maker that produces gaming hardware, has a $10-a-month cloud program, GeForce Now.

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Going to the Moon via the Cloud

Before the widespread availability of this kind of computing, organizations built expensive prototypes to test their designs. “We actually went and built a full-scale prototype, and ran it to the end of life before we deployed it in the field,” said Brandon Haugh, a core-design engineer, referring to a nuclear reactor he worked on with the U.S. Navy. “That was a 20-year, multibillion dollar test.”

Today, Mr. Haugh is the director of modeling and simulation at the California-based nuclear engineering start-up Kairos Power, where he hones the design for affordable and safe reactors that Kairos hopes will help speed the world’s transition to clean energy.

Nuclear energy has long been regarded as one of the best options for zero-carbon electricity production — except for its prohibitive cost. But Kairos Power’s advanced reactors are being designed to produce power at costs that are competitive with natural gas.

“The democratization of high-performance computing has now come all the way down to the start-up, enabling companies like ours to rapidly iterate and move from concept to field deployment in record time,” Mr. Haugh said.

But high-performance computing in the cloud also has created new challenges.

In the last few years, there has been a proliferation of custom computer chips purposely built for specific types of mathematical problems. Similarly, there are now different types of memory and networking configurations within high-performance computing. And the different cloud providers have different specializations; one may be better at computational fluid dynamics while another is better at structural analysis.

The challenge, then, is picking the right configuration and getting the capacity when you need it — because demand has risen sharply. And while scientists and engineers are experts in their domains, they aren’t necessarily in server configurations, processors and the like.

This has given rise to a new kind of specialization — experts in high-performance cloud computing — and new cross-cloud platforms that act as one-stop shops where companies can pick the right combination of software and hardware. Rescale, which works closely with all the major cloud providers, is the dominant company in this field. It matches computing problems for businesses, like Firefly and Kairos, with the right cloud provider to deliver computing that scientists and engineers can use to solve problems faster or at lowest possible cost.

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Apple’s Compromises in China: 5 Takeaways

Apple has created an internal bureaucracy that rejects or removes apps the company believes could run afoul of Chinese rules. Apple trains its app reviewers and uses special software to inspect apps for any mention of topics Apple has deemed off limits in China, including Tiananmen Square, the Chinese spiritual movement Falun Gong, the Dalai Lama, and independence for Tibet and Taiwan.

Apple said it removes apps in China to comply with local laws.

In 2018, China’s internet regulators ordered Apple to reject an app from Guo Wengui, a Chinese billionaire who had broadcast claims of corruption inside the Communist Party. Top Apple executives then decided to add Mr. Guo to Apple’s “China sensitivities list,” which meant software would scan apps for mention of him and app reviewers would be trained to reject his apps, according to court documents.

When an app by Mr. Guo later slipped by Apple’s defenses and was published to the App Store, Chinese officials contacted Apple wanting answers. Apple’s app review chief then sent colleagues an email at 2:32 a.m. that said, “This app and any Guo Wengui app cannot be on the China store.” Apple investigated the incident and later fired the app reviewer who had approved the app.

Apple said that it had fired the app reviewer for poor performance and that it had removed Mr. Guo’s app in China because it had determined it was illegal there.

Since 2017, roughly 55,000 active apps have disappeared from Apple’s App Store in China, with most remaining available in other countries, according to a Times analysis.

More than 35,000 of those apps were games, which in China must get approval from regulators. The remaining 20,000 cut across a wide range of categories, including foreign news outlets, gay dating services and encrypted messaging apps. Apple also blocked tools for organizing pro-democracy protests and skirting internet restrictions, as well as apps about the Dalai Lama.

Apple disputed The Times’s figures, saying that some developers removed their own apps from China.

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Censorship, Surveillance and Profits: A Hard Bargain for Apple in China

On Chinese iPhones, Apple forbids apps about the Dalai Lama while hosting those from the Chinese paramilitary group accused of detaining and abusing Uyghurs, an ethnic minority group in China.

The company has also helped China spread its view of the world. Chinese iPhones censor the emoji of the Taiwanese flag, and their maps suggest Taiwan is part of China. For a time, simply typing the word “Taiwan” could make an iPhone crash, according to Patrick Wardle, a former hacker at the National Security Agency.

Sometimes, Mr. Shoemaker said, he was awakened in the middle of the night with demands from the Chinese government to remove an app. If the app appeared to mention the banned topics, he would remove it, but he would send more complicated cases to senior executives, including Mr. Cue and Mr. Schiller.

Apple resisted an order from the Chinese government in 2012 to remove The Times’s apps. But five years later, it ultimately did. Mr. Cook approved the decision, according to two people with knowledge of the matter who spoke on the condition of anonymity.

Apple recently began disclosing how often governments demand that it remove apps. In the two years ending June 2020, the most recent data available, Apple said it approved 91 percent of the Chinese government’s app-takedown requests, removing 1,217 apps.

In every other country combined over that period, Apple approved 40 percent of requests, removing 253 apps. Apple said that most of the apps it removed for the Chinese government were related to gambling or pornography or were operating without a government license, such as loan services and livestreaming apps.

Yet a Times analysis of Chinese app data suggests those disclosures represent a fraction of the apps that Apple has blocked in China. Since 2017, roughly 55,000 active apps have disappeared from Apple’s App Store in China, according to a Times analysis of data compiled by Sensor Tower, an app data firm. Most of those apps have remained available in other countries.

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Amazon Paid No Corporate Tax to Luxembourg

Amazon had a record-breaking year in Europe in 2020, as the online giant took in revenue of 44 billion euros while people were shopping from home during the pandemic. But the company ended up paying no corporate tax to Luxembourg, where the company has its European headquarters.

The company’s European retail division reported a loss of €1.2 billion ($1.4 billion) to Luxembourg authorities, according to a recent financial filing, making it exempt from corporate taxes. The loss, which was due in part to discounts, advertising and the cost of hiring new employees, also meant the company received €56 million in tax credits that it could use to offset future tax bills when it makes a profit, according to the filing, released in March.

Amazon was in compliance with Luxembourg’s regulations, and it pays taxes to other European countries on profits it makes on its retail operations and other parts of the business, like its fulfillment centers and its cloud computing services.

But the filing is likely to provide fresh ammunition for European policymakers who have long tried to force American tech giants to pay more taxes. And the Biden administration is pushing for changes in global tax policy as part of an effort to raise taxes on large corporations, which have long used complicated maneuvers to avoid or reduce their tax obligations, including by shifting profits to lower-tax countries, like Luxembourg, Ireland, Bermuda and the Cayman Islands.

first three months of this year, the entire company’s profit soared to $8.1 billion, an increase of 220 percent from the same period last year. Amazon’s first-quarter filings, released last week, also showed that it made $108.5 billion in sales, up 44 percent, as more customers made purchases online because of the pandemic.

The company’s filing with Luxembourg was reported earlier by The Guardian.

A spokesman for Amazon, Conor Sweeney, said the company paid all taxes required in every country in which it operated.

“Corporate tax is based on profits, not revenues, and our profits have remained low given our heavy investments and the fact that retail is a highly competitive, low-margin business,” he said.

250 million in unpaid taxes from 2006 through 2014 from Amazon. Amazon and Luxembourg appealed that order, and a judgment in Europe’s second-highest court is expected next week.

Margaret Hodge, a British lawmaker, said Amazon had deliberately created financial structures to avoid tax. “It’s obscene that they feel that they can make money around the world and that they don’t have an obligation to contribute to what I call the common pot for the common good,” she said.

Matthew Gardner, a senior fellow at the Institute on Taxation and Economic Policy, a left-leaning research group in Washington, said Amazon’s Luxembourg filing showed why there was such urgency, not only in the European Union but also in the United States, to require a global minimum tax.

“This is a stark reminder of the high financial stakes of inaction,” he said.

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Amazon’s profits soar 220 percent as pandemic drives shopping online.

With the pandemic shifting sales online and consumers flush with stimulus checks, Amazon on Thursday reported $108.5 billion in sales in the first three months of the year, up 44 percent from a year earlier. It also posted $8.1 billion in profit, an increase of 220 percent from the same period last year.

The first-quarter results surpassed Wall Street’s expectations. Shares were up as much as 5 percent in aftermarket trading.

The most profitable parts of Amazon’s retail business boomed. Revenue from merchants listing items on its website and using its warehouses was up 64 percent, to $23.7 billion. Its “other” business segment, which is largely its lucrative advertising business, increased 77 percent, to almost $7 billion.

Amazon previously disclosed that 200 million people pay for Prime memberships, and subscription revenue for that service and others reached almost $7.6 billion in the quarter. In addition to paying Amazon $119 a year or $12.99 a month for free shipping and other perks, households with Prime memberships typically spend $3,000 a year on Amazon, more than twice what households without the membership spend, according to Morgan Stanley.

step down as chief executive later this year and transition into the role of executive chairman.

Amazon’s total work force dipped slightly between December and the end of March, falling by 27,000 to 1,271,000 employees globally. That was still 51 percent more workers than the same period last year. On Wednesday, Amazon announced it would increase pay for half a million workers and was hiring “tens of thousands” more.

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