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Burnout, frustration and heartbreak: Amazon layoffs take their toll in saturated job market

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On an early morning in January, Jake Linsley woke up to a text from Amazon that was lighting up his phone.

“I thought it was saying, ‘Your package is delayed,’” Linsley said in an interview. “I read it again and was like, ‘Holy s—, I got fired.’”

Linsley, who worked as a finance manager at Amazon for nearly six years, was one of roughly 16,000 employees swept up in the company’s mass layoffs in late January. Combined with the more than 14,000 staffers let go three months earlier, it marked the steepest cuts in Amazon’s history.

As an Amazon employee, Linsley was part of an American corporate elite: working for a tech giant with opportunities for growth, promotion, high salaries, and enviable perks. But he and the other laid-off workers suddenly entered the harsh reality of a job market being rapidly reshaped by artificial intelligence — and competing with hordes of others who had been let go by Meta, Salesforce and Cisco. In some cases, the jobs they’d been hired to do simply don’t exist anymore. And the tech giants continue to cut roles in part to fund the hundreds of billions of dollars they’re investing in AI.

The tech sector has laid off roughly 140,000 employees in the U.S. so far this year, more than any other industry, according to consulting firm Challenger, Gray & Christmas. In May, layoffs across the industry reached their highest for any month since August 2024, before easing in June.

AI was the main reason companies gave for the cuts for a fourth straight month, Challenger said in a report last week. The firm said AI has been cited in about 23% of all job cut announcements in 2026.

“Tech remains the epicenter of this year’s cuts,” Challenger said. “AI is the dominant force as companies are restructuring around it, automating roles and reallocating budgets toward new capabilities. The sector is being reshaped in real time.”

 Amazon has been downsizing more aggressively than many of its peers, laying off more than 57,000 staffers since 2022, or roughly 16% of its corporate workforce. According to data from the website

Amazon CEO Andy Jassy has warned employees that AI “should change the way our work is done,” and that in the next few years, efficiency gains from the technology “will reduce our total corporate workforce.” The company has looked for ways to unwind its pandemic-era hiring binge and eliminate bureaucracy so that it can operate like “the world’s largest startup.”

CNBC spoke to more than a dozen people laid off by Amazon over the past eight-plus months about how they’ve navigated the job market at a time of swelling industry unemployment and, for many, a sense of diminishing opportunity.

While some have since landed roles at places like Apple or Salesforce, others are staring at hundreds of unanswered job applications and roles with pay cuts. Some described the dark irony of going all in on AI at Amazon only to find themselves replaced by it.

Montana MacLachlan, an Amazon spokesperson, said in a statement that the cuts were made to ensure the company can move fast and serve customers. Amazon continues to hire and invest in strategic areas that are critical to its future, she added.

“We don’t make decisions to eliminate roles lightly, and we work hard to support employees who are impacted,” MacLachlan said.

AI wasn’t the reason for the vast majority of the layoffs, Amazon said.

Linsley’s job search lasted for about three months, before he took a position in April as a vice president at a health-care IT startup.

“I’d rather have a stable job than one that can grow 5x and disappear overnight,” he said.

The job hunt

Courtney Haeflinger applied to hundreds of jobs but struggled to land interviews.

For months after she was laid off from Amazon Web Services in January, she’d begin her day in front of her computer at 8:30 a.m., diligently scanning job boards and refreshing her inbox, hoping to hear back from recruiters.

As soon as a job was posted, there would quickly be 200 to 300 applicants, Haeflinger said. She couldn’t tell if it was due to the raft of unemployed workers, or if bots were running wild.

“It makes it harder for us as real job seekers to get in the door,” said Haeflinger, 49, who landed a job last week at AT&T. “It’s frustrating.”

In the months after her departure from Amazon, the pace of cuts across the industry turned a difficult task into a seeming impossibility.

Haeflinger applied for a few jobs at Meta, around the time the company was announcing plans to eliminate 10% of its staff. A job at Oracle came across her feed. But when she saw the software vendor was cutting thousands of jobs, she hesitated to apply. 

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People pass by The Spheres in downtown Seattle, Washington, on June 25, 2025. Juan Mabromata | AFP | Getty Images

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https://www.cnbc.com/2026/07/11/burnout-frustration-and-heartbreak-amazon-layoffs-take-their-toll.html

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Does Matt Damon Look Greek? No. So Stop Complaining About Lupita Nyong’o.

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Helen of Troy is starting wars again. But this time the legendarily beautiful, semi-divine queen of myth, whose adulterous elopement with the Trojan prince Paris brought on the 10-year-long Trojan War, has launched a thousand tweets.

In the buildup to the release of Christopher Nolan’s $250 million, all-IMAX retelling of Homer’s “Odyssey,” the director revealed that he had chosen the Oscar-winning actress Lupita Nyong’o to play Helen. A firestorm of controversy followed, fueled largely by self-appointed guardians of the Homeric epics who consider the casting of a Black woman as Helen to be a grotesque violation — a “woke” gesture designed to “destroy Western civilization and everything that helped create it,” as one voice on X put it.

X’s owner, Elon Musk, used the platform to accuse Mr. Nolan of “pissing on Homer’s grave,” referring to the director as an “anti-White racist,” and suggesting that he chose Ms. Nyong’o in a cynical bid to win over Oscar voters. (“He wants the awards.”) Donald Trump Jr. has also complained about the casting of Mr. Nolan’s movie, wishing that Hollywood would “stop pushing this crap on us.”

“Not one person on the planet actually thinks that Lupita Nyong’o is ‘the most beautiful woman in the world,’” the conservative commentator Matt Walsh declared.

Some of Mr. Nolan’s equally vocal defenders have argued that it’s silly to complain about “authenticity” when speaking of mythological figures; Helen, after all, was hatched from a swan’s egg, so how literal can we really be? A few classicists reason that Mr. Nolan’s colorblindness is in fact authentic, since the Greeks didn’t have a concept of race in the way that we do. (If they had, they surely would object to the choice to cast the open-faced, all-American Matt Damon as the wily Mediterranean Odysseus.)

Still, it seems safe to assume that Mr. Nolan’s choice of Ms. Nyong’o was meant to be pointed. The last major big-screen depiction of Helen was in the 2004 “Troy” (Donald Jr. was a fan), in which she was played by the extremely Aryan-looking German actress Diane Kruger.

So what is Mr. Nolan up to? As it turns out, the auteur is using Helen just as the Greek authors did: to provoke, challenge and discomfit how we think about beauty and identity, about who we are and how we relate to our world.

It’s worth noting that we actually have no idea what Helen looked like. Homer confines his descriptions to generic banalities — “she looked awfully like the immortal gods” — while the two visual adjectives he gives her, “beautiful-haired” and “white-armed,” are conventional and used of other female characters as well. (She is also described as “shudder-inducing”; go try to cast that.) Later authors, such as the playwright Euripides, introduce new adjectives, for instance, “reddish-blonde.” But on the whole, the Greeks didn’t care much what she looked like.

What they did care about was how she talked. Already in Homer’s telling, Helen is an effective and indeed seductive speaker. In the “Iliad,” she eloquently rues her mad infatuation with Paris, delivers some nice jabs in an argument with no less a debate opponent than the goddess Aphrodite and effectively has the last word in the epic, pronouncing a powerful final eulogy for the fallen Trojan hero Hector. In the “Odyssey,” she beguiles a group of dinner guests with tales of her efforts to help the Greek cause from behind enemy lines in Troy. But her cuckolded husband, Menelaus, with whom she has long since been reunited, counters with a very different tale, one in which it’s clear that she was working to betray the Greeks.

From the dawn of Greek literature, then, Helen has been at the center of an extremely self-conscious debate that, like beauty itself, is about the tension between insides and outsides: How do we know when someone is telling the truth?

Helen’s way with words made her an irresistible subject for a number of later writers. The lyric poet Stesichorus (circa 630-555 B.C.E.) wrote a poem in which he criticized her wayward behavior. In revenge, it was said, she blinded him. Soon enough, he wrote a retraction, or “Palinode,” in which he defends Helen’s honor, explaining that it was merely a phantom Helen who had run away with Paris, while the real Helen, faithful and innocent, was spirited away to Egypt. Duly placated, so the tale goes, she restored his sight.

The ease with which different sides of Helen’s case could be argued appealed to the so-called Sophists of the classical period, who prided themselves on their ability to “make the weaker argument appear the stronger.” The Sicilian philosopher and rhetorician Gorgias, born in 483 B.C.E., composed an exhibition speech in which he rattled off not one but four separate arguments in favor of Helen, each one of which could effectively absolve her of any blame for her actions.

Euripides, a contemporary of Gorgias, put Stesichorus’ tale of a phantom Helen to work in a tragicomic drama that bears her name, here again in order to explore the relationship between truth and fiction, rhetoric and reality. Helen’s dilemma bears an uncanny resemblance to that of many people who find themselves embroiled in heated exchanges on social media: How do you argue the truth when the whole world has swallowed a falsehood?

And yet, in the same playwright’s “Trojan Women,” Helen appears not as a hapless victim of false rhetoric but as a canny manipulator of it. In the presence of the grief-stricken Trojan wives and mothers who have been enslaved at the end of the war she herself had started, this Helen coolly exculpates herself with a series of gallingly disingenuous arguments. (She says we should lay the blame on Paris’ mother, Hecuba, since she gave birth to him in the first place.) In the play’s dark conclusion, her sophistries get her off scot-free.

The historians, too, found in Helen a useful figure. In his sprawling account of the wars between the Greeks and Persians fought in the early 400s B.C.E., Herodotus establishes his bona fides as a historian by discounting the poets’ tall tales about Helen and Paris, abductions and seductions. In Book 2 of his “Histories,” he whizzes through a series of practical reasons that Homer’s accounts couldn’t possibly be true, concluding that “it’s impossible to think that the Trojans would have fought amidst such great disasters just for Helen.” Helen couldn’t have been in Troy, he calmly concludes, since its king, Priam, like any ruler worth the name, would surely have given her back once the casualties started piling up.

And so the woman whom we associate with great beauty was, at least for the Greeks, all talk. Both a skilled orator and the object of skillful oratory, the “real” Helen of Troy, you could argue, was a figure associated above all with profound debates about the nature of reality and the power of words, the seductiveness of falsehood and the fragility of truth. In that sense, at least, the controversy about the new “Odyssey” movie, like so many of the arguments being conducted today, connects us to the Greeks’ Helen in a far more authentic way than the choice of this or that actress could.

It seems only right to leave the last word in this debate to a woman. A lyric by Sappho (circa 630-570 B.C.E.), considered by the Greeks to be the “10th Muse,” wonderingly recounts how Helen of Troy, “considered the most beautiful by far of all human beings, abandoned her most excellent husband and sailed off to Troy with nary a thought for her child or her beloved parents.” Why ever would she do so? Because there’s no rhyme or reason when it comes to what we yearn for, no absolute standard for beauty. “The most beautiful thing on this black earth,” Sappho writes, “is whatever you happen to desire.” Whatever else the debate over Christopher Nolan’s casting has proved, it certainly shows that, by forcing people to confront — or reveal — their own often irrational notions of what is beautiful and ugly, true and false, Helen of Troy still has something to tell us.

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https://static01.nyt.com/images/2026/07/12/opinion/06mendelsohn-image/06mendelsohn-image-superJumbo.jpg?quality=75&auto=webpIllustration by Sam Whitney/The New York Times

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https://www.nytimes.com/2026/07/10/opinion/odyssey-movie-lupita-nyongo-nolan.html

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Should you be taking creatine?

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Of all the dietary supplements out there, creatine is perhaps the one with the most fervent fan base. Long a favorite among athletes looking for a workout boost, creatine has been credited with tamping down perimenopausal mood swings, controlling blood sugar, and perhaps even helping recovery from concussions.

But what does the science say? It’s important to note that creatine is a dietary supplement, and it is not regulated in the same way as medications, which need to go through rounds of clinical trials to gain approval for sale by the U.S. Food and Drug Administration. And the nutrition supplement market is notoriously rife with overblown claims and false advertising.

When it comes to creatine, however, experts say there is some solid evidence backing the supplement up.

Creatine is generally considered safe, and unlike many supplements, it has been studied for decades, particularly for its role in boosting strength and power in athletics, says Katherine Basbaum, a registered dietitian at the University of Virginia Health. In more recent years, some studies have suggested that creatine may support brain and muscle health as we age, too.

But it’s far from a “magic bullet,” cautions Bonnie Jortberg, a professor of family medicine at the University of Colorado Anschutz School of Medicine. “You’re not going to start taking creatine, then all of a sudden feel like a new person.”

To help sort the science from the hype, Scientific American spoke with health and nutrition experts about how creatine works and who might benefit the most from taking it.

What does creatine do to your body?

Creatine is a natural compound that your body produces and uses for energy, Basbaum explains. It’s made using three amino acids—arginine, glycine and methionine. You can also get creatine from your diet, by eating foods such as seafood and meats, or by taking a supplement, such as creatine monohydrate.

Once ingested, creatine gets converted into a compound called creatine phosphate (also known as phosphocreatine), which helps supply adenosine triphosphate, or ATP, to your muscles. “Your brain and your muscles need energy,” Basbaum says. Creatine helps provide a rapid-acting and immediately available source of ATP. That’s why creatine can help athletes: more ready-to-use energy means more power in the gym and potentially more muscle growth.

Is creatine FDA-approved?

Creatine monohydrate is the most-studied form of creatine. Still, the FDA doesn’t assess and approve dietary supplements in the same way as for drugs. Rather, the agency has designated creatine monohydrate as a “Generally Recognized as Safe” (GRAS) substance.

Decades of clinical evidence back that designation up. A 2025 analysis of more than 650 studies found creatine has no significant side effects compared with placebo. “The safety profile on creatines is very good,” says Richard Kreider, the first author on that paper and director of the Exercise & Sport Nutrition Lab at Texas A&M University.

Creatine is also among the most popular sports supplements in the world, and the tally of adverse events associated with creatine in international registries is “very tiny,” Kreider says—around 0.0007 percent of adverse event reports mentioned creatine, his team’s analysis found.

“There have now been, over the last 30 years, billions of servings, literally billions of servings, provided in dietary supplements. This is not new,” he says. (Kreider has conducted industry-sponsored creatine research and has served as an advisor for dietary supplement makers.)

What do we know—or not know—about creatine?

Overall, the strongest and most extensive evidence for creatine is as an “ergogenic aid” to support athletic performance, Basbaum says.

Research shows it may help you lift slightly heavier weights at the gym, for instance, or push out a few more repetitions or help your muscles recover faster afterward.

More recent evidence suggests creatine may help us stay healthy as we age, too. “What had started as a supplement for athletes and performance has now blossomed over the last 20 to 25 years into a supplement that clinical trials are showing efficacy in a number of therapeutic interventions,” Kreider says.

The most promising of these avenues is “active aging,” he says. As we get older, our muscles tend to get weaker. Research suggests creatine, when combined with resistance training, may help maintain strength and muscle mass and prevent falls and injuries such as hip fractures in older populations, Kreider says.

Creatine could also be helpful during perimenopause and menopause, when women may have a harder time building and maintaining muscle, Basbaum says.

There is also preliminary evidence to suggest creatine may help support brain cognition for women during this time of life, possibly by supplying more ATP to brain cells, Jortberg says.

“These are limited studies, but I think they’re promising. [Findings suggest] that creatine may be beneficial—‘may be’ is the keyword there—when it comes to mental cognition,” Jortberg adds.

To improve athletic performance, the International Society of Sports Nutrition recommends people take about three to five grams of creatine monohydrate per day. For more rapid results, some athletes might start with a “loading” period of about 0.3 gram per kilogram of creatine monohydrate for five to seven days, the organization says.

But the exact amount will vary based on your body’s needs.

Is there anyone who shouldn’t take creatine?

Experts were divided on this question. Creatine is generally considered safe, but Jortberg says that kidney problems could interfere with your body’s ability to process the supplement.

“People who might have any kind of a kidney issue or any kind of compromised kidney function should absolutely not be taking a creatine supplement,” she says.

Kreider, on the other hand, argues that those fears are overblown. “The fact is that there’s no evidence that creatine causes any adverse effect to kidney function, even in patients with kidney disease,” he says.

Still, the experts Scientific American spoke to agreed that if you’re interested in taking creatine, it’s best to consult a doctor first.

“Anytime you take a dietary supplement of any kind, it goes without saying that it’s good to check with your health care provider,” Basbaum says, “creatine or otherwise.”

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Sheryl Lee Ralph Stuns During Her Paris Couture Week Debut

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Actress Sheryl Lee Ralph is making the most of her first-ever Paris Haute Couture Week. And, lucky for us, she’s documenting every fashionable moment along the way.

The Emmy Award-winning actress took to Instagram to share her excitement, telling followers she’s “having a grand time” during couture week. Between multiple outfit changes and full hair-and-makeup transformations for each show, the 69-year-old style icon joked that the whirlwind schedule is all part of the “fashion fun.”

For Stéphane Rolland, Ralph embraced the designer’s signature sculptural aesthetic in a sleek black, long-sleeved gown featuring a dramatic white chiffon detail cascading from the neckline. She completed the look with architectural platform heels and layered diamond necklaces that added just the right amount of sparkle.

At Georges Hobeika, she leaned into gilded glamour in a gold-toned ensemble adorned with leaf-inspired embellishments. Her monochromatic beauty look echoed the warm metallic palette, while spiral gold earrings, a diamond tennis bracelet, a Rolex watch, and statement rings completed the sophisticated styling.

For her final appearance at the Tony Ward Couture show, Ralph opted for an ethereal gold gown reminiscent of a modern-day Cinderella. The belted silhouette featured champagne-hued underlayers and shimmering silver embellishments throughout. Meanwhile, a sleek, slicked-back bun kept the focus on the intricately detailed dress.

Scroll ahead to see Sheryl Lee Ralph’s stunning looks from her stylish debut at Paris Haute Couture Week.

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This Is a Lot More Worrying Than the Supreme Court’s Ruling on Executive Power

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The Supreme Court last week expanded the powers of the unitary executive, raising fears among many that the presidency is becoming too strong. Yet as big as the ruling appears to be, it wasn’t even the most concerning news in the past month about the accumulation of unchecked power in the Oval Office.

The day after the court’s ruling, the Trump administration lifted restrictions it had imposed on access to top artificial intelligence models from Anthropic, a leading A.I. company, seemingly on the condition that the company submit to ongoing government oversight. On Tuesday, OpenAI finally announced that it will release broadly its new artificial intelligence model, GPT-5.6, access to which has been restricted at the request of the U.S. government. Only a limited set of customers — those approved by the Trump administration — have been allowed use of the A.I. tool.

These restrictions on the A.I. industry are the latest instance of the White House creating its own parallel administrative state, sidestepping Congress. Congress and the courts must push back.

The right vigorously criticizes government control of private industry as a kind of communist central planning. Many Republicans objected to a rent freeze by New York’s mayor, Zohran Mamdani — a policy that is being imposed through the public processes of a legally created oversight board. The president’s unauthorized intervention in private business poses an even more direct threat to free enterprise.

True, the Supreme Court’s ruling last week gave the president more authority over agencies that Congress had wanted to insulate from political interference, such as the Federal Trade Commission. But agency leaders must still follow clear rules that Congress has written into the law. By contrast, the Trump White House’s ad hoc interference in private business decisions — exemplified by but not limited to its recent meddling in the A.I. industry — has come without congressional sanction. President Trump is planning product releases and choosing customers of a key industry in our ostensibly free-market economy.

No legislation authorizes the White House’s recent moves to effectively regulate domestic A.I. customers and model release timing. Congress has yet to pass comprehensive A.I. safety legislation, and the Trump administration has spent most of the past year and a half discouraging necessary lawmaking. The White House has filled the gap it helped create with whatever rules it sees fit to impose at any given moment.

In a normal process, an agency such as the Federal Trade Commission exercises powers granted by Congress, subject to various forms of judicial review. If the agency exceeds the scope of its legal authority, the courts nullify its illegal actions. Only Congress writes the laws. The executive carries them out.

Justice Neil Gorsuch’s concurring opinion in last week’s ruling reminded us that the founders feared “when ‘the legislative and executive powers are united in the same person.’” Those fears should be especially great when unitary control is exerted over society-shaping technology.

On A.I., the White House has effectively created and put into effect its own mini-regulatory administration. The Trump administration’s directions to Anthropic and OpenAI follow its release last month of an executive order creating, by fiat, a regulatory framework for identifying “covered frontier models” and steering their release. The order contains some good ideas for Congress to consider, but it does not execute a law passed by Congress; it creates its own.

Apparently recognizing its lack of legal authority to do this, the Trump administration claims that compliance is “voluntary.” Yet few would believe a request from this White House is merely that. The Oval Office commands enormous power to threaten and cajole private companies into compliance. Indeed, the administration has already moved to exile Anthropic products from the Pentagon after the company failed to cooperate with the executive branch’s dictates.

After the Supreme Court ruling, the president has more power over the Federal Trade Commission and other agencies with oversight of these companies. The boost in presidential authority will enhance the White House’s ability to pressure businesses, which will want to avoid regulatory fights — even ones they are confident they would ultimately win in court. This dynamic, however, will not be new.

The A.I. business is not the only industry that Mr. Trump has subjected to his new form of unitary executive. Under pressure, the Japanese company Nippon Steel and U.S. Steel last year granted a special “golden share” to the American government as part of a national security review of Nippon Steel’s acquisition of the U.S. company. According to public reports, the White House now has authority over the company’s plant closures, headquarters moves and job transfers.

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https://static01.nyt.com/images/2026/07/10/opinion/10lawrence/10lawrence-superJumbo.jpg?quality=75&auto=webpPete Gamlen

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https://www.nytimes.com/2026/07/10/opinion/executive-power-supreme-court-trump.html

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Senator Lindsey Graham has died at 71 after a brief illness

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Key Points
  • Senator Lindsey Graham died following a “brief and sudden illness,” his office says.
  • Graham, a prominent Republican from South Carolina, was 71.
  • A spokeswoman for Graham says he had just returned from a trip to Ukraine. 
  • Graham was first elected to the U.S. Senate in 2002.

Senator Lindsey Graham has passed away, his office said Sunday.

“On the evening of Saturday, July 11, U.S. Senator Lindsey Graham passed away from a brief and sudden illness,” Graham’s office said in a statement on X.

Graham, a prominent Republican from South Carolina, was 71.

“Senator Graham’s family appreciates prayers at this time and asks for privacy during this incredibly difficult period,” his office added.

A spokeswoman for Graham told MS NOW that he had just returned from a trip to Ukraine. She had no additional information on the circumstances of his passing and said more information would become available in the coming days.

His Senate website described Graham as “a conservative problem-solver and one of the strongest proponents of a robust national defense.”

President Donald Trump said Graham was “one of the greatest people and Senators I have ever known.”

“He was always working, and was a true American Patriot. Lindsey will be greatly missed!!!” Trump said in a post on Truth Social.

Graham became a key ally of Trump, despite having warned against his nomination as the Republican candidate ahead of the 2016 election.

“If we nominate Trump, we will get destroyed…….and we will deserve it,” Graham wrote on social media on May 3, 2016.

Ukrainian President Volodymyr Zelenskyy said he was “deeply saddened” by the news of Graham’s death.

“He visited Ukraine ten times during the years of Russia’s full-scale invasion and was here with our people when it was most needed,” Zelenskyy said in a post on X.

Israeli Prime Minister Benjamin Netanyahu said he and his wife Sara were grieving “with the American people over the loss of our dear friend, Senator Lindsey Graham.”

“Lindsey understood that the security of Israel and America are inseparable. He devoted his life to defending America, strengthening our alliance and standing up for the free world,” Netanyahu said in a post on X.

Senate Majority Leader John Thune, R-S.D., said in a statement: “My heart is heavy this morning to learn of the passing of my friend and colleague, Senator Lindsey Graham.”

“He was a strong advocate for the United States and a strong ally to freedom-loving countries across the globe. He believed in the might of America to achieve good in the world and dedicated his life to advancing that cause.”

South Carolina Gov. Henry McMaster called Graham “the fiercest of fighters for South Carolina and America—and a loyal and steadfast friend.”

Graham was elected to the U.S. Senate in 2002 and was re-elected in 2008, 2014, and 2020. He had been running for re-election for a fifth six-year term. Under South Carolina law, McMaster has until Jan. 3, 2027, to fill Graham’s seat.

Graham served as Chairman of the Senate Budget Committee and as a member of the Senate Committee on Appropriations, Senate Judiciary Committee, and Senate Committee on Environment and Public Works. 

Prior to serving in the Senate, Graham was elected to the House of Representatives in 1994.

Before being elected to Congress, Graham served in the U.S. Air Force, logging six-and-a-half years of active-duty service as an Air Force lawyer. 

During the first Gulf War in the early 1990s, Graham was called to active duty and served as a Staff Judge Advocate, where he prepared service members for deployment to the Gulf region.

Graham retired from the Air Force Reserves in June 2015, having served his country in uniform for 33 years. He retired at the rank of Colonel.

A native South Carolinian, Graham grew up in a blue-collar family in the small town of Central, where his parents ran a restaurant and pool hall, according to his website. The first member of his family to go to college, Graham earned his undergraduate and law degrees from the University of South Carolina.

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Sen. Lindsey Graham (R-SC) talks to reporters after speaking on the floor of the Senate Chamber at the U.S. Capitol on Jan. 30, 2026, in Washington, DC. Chip Somodevilla | Getty Images

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How math helped the Allies win World War II

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During World War II, when Allied forces—including those from the U.K., U.S. and Canada—landed on the beaches of Normandy in Operation Overlord, they took a critical step toward liberating Western Europe from Nazi control. But the planning for that maneuver was difficult. One of the challenges was that the Nazis were producing an unknown quantity of new tanks that were more powerful than older models. Intelligence agencies had to determine enemy tank production data, so they enlisted mathematicians.

During earlier fighting, the Allies had recovered several enemy tanks. Upon examination, they discovered serial numbers on some components. Statisticians then analyzed these sequences and made a startling discovery. Although the numbers on the chassis were divided into various unrelated intervals, the transmissions appeared to be numbered sequentially, as were the tank guns, heaters, road wheels, and turret engines. Using all the collected data, the experts could estimate how many new tanks the Nazis produced each month. Ultimately, the mathematical results for this so-called German tank problem were significantly closer to the truth than any other estimates.

We can walk through the math together using a simplified set of numbers. Consider the following scenario: Suppose there are N = 271 tanks, numbered sequentially from 1 to 271. For the purposes of our thought experiment, you don’t know the number N, but you have managed to recover 15 enemy tanks, marked 3, 7, 17, 80, 92, 96, 98, 116, 125, 138, 166, 167, 199, 232 and 242. You can therefore assume that there are at least 242 generic tanks. But there could be more. To estimate N, assume that the 15 tanks captured were completely at random—an arbitrary sample of 15 numbers from N possible numbers.

Four Methods to Estimate the Number of German Tanks

You can estimate N by calculating the sample median. This is the number that lies exactly in the middle of the ordered list. The sample therefore contains as many values smaller than the median as it does values that are larger. In our example of 15 tanks, the median m’ is the eighth number, so m’ = 116. One possible estimate would be that the sample median m’ is the same as the median of the list of all N tanks.

For such an ascending list of N numbers, the median of all tanks, if N is odd, is: m = (N + 1) / 2. Therefore, we can make a first estimate of the total number, N, using the median m’: N₁ = 2m’ − 1 = 2 × 116 − 1 = 231. But the highest number in our sample is 242, so N must be larger.

A number line, running from zero at left to 242 at right, represents tank serial numbers, with white circles marking known serial numbers, an orange circle marking the median number of that sample (116) and a green circle marking the actual median (136).

The sample median (116) does not necessarily have to match the actual median (136).

Amanda Montañez

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It might be better to consider the mean rather than the median. In a list 1, 2, 3, …, N, the median and mean are the same, but in a sample, these two values can differ.

The sample mean (or average) is obtained in this case by summing all the numbers (1,778) and dividing by how many there are, that is, 15. In this case, the mean, M ≈ 119. Using the same formula as for the median, a second estimate, N, for the number of tanks can be made: N = 2M − 1 = 2 × 119 − 1 = 237. Unfortunately, this value is also below 242 and therefore cannot be correct.

 Another number line, running from zero at left to 242 at right, represents tank serial numbers, with white circles marking known serial numbers, an orange circle marking the median number of that sample (116) and a purple circle marking the sample mean (119).

The sample mean (119) is slightly larger than the median (116).

Amanda Montañez

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To ensure that the estimate is not smaller than the largest number in the sample, you might assume that the same number of tanks were missed at the beginning of the list as at the end. This would mean adding the number of tanks preceding the smallest sample number to the largest number. The smallest number in the sample is 3, so two tanks preceded it, and the largest number is 242. This results in a third estimate: N3 = 2 + 242 = 244.

The result would be even more accurate, however, if you considered the average intervals of the numbers in the sample. So you calculate the average distance d between each number in the sample: d = 1/15 × [(nmin − 1) + (n1nmin − 1) + (n2n1 − 1) + … + (n13n12 − 1) + (nmaxn13 − 1)] = 1/15 × nmax − 1. The mean distance d, therefore, ultimately depends only on the largest number in our sample: d = 242/15 − 1 ≈ 15. This can now be added to nmax to obtain a fourth estimate: N4 = 257, which is quite close to the actual result (271).

The Allied mathematicians used precisely this method to investigate German tank production with impressive success, compared with intelligence estimates, as this table from a 1947 journal article shows:

A table compares the estimated number of German tanks, as calculated using statistics (left column), with those made by military intelligence (center column) and the actual number of tanks in the records (right column). This comparison is made at three time points: June 1940, June 1941 and August 1942. It indicates that the statistical estimates were reliably closer to actual records than those developed by intelligence. Specifically, for June 1940, the statistical estimate was 169 tanks, the intelligence estimate was 1,000 tanks, and the records show 122 actual German tanks. For June 1941, the statistical estimate was 244 tanks, the intelligence estimate was 1,550 tanks, and the German records indicate 271 tanks. And for August 1942, the statistical estimate was 327 tanks, the intelligence estimate was 1,550 tanks, and the German records show 342 tanks.

 

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To go a step further, you can determine which method is best for these predictions using what mathematicians call Monte Carlo simulations. You set different values of N and randomly select different samples of size n, with which the two estimates N3 and N4 are determined. By repeatedly performing the experiment with a computer, you can examine the probability distributions of N3and N4, as well as their means and variances (a measure of spread). Doing this, you will find that both means will converge toward the actual value N—though the variance of N4 is smaller than that of N3. In other words, the Allied mathematicians picked the best mathematical strategy.

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https://static.scientificamerican.com/dam/asset/bef2fed7-1110-46c6-a9f8-d625ea78b542/German-Tanks-Getty.jpg?m=1783444585.765&w=900

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Click the link below for the complete article:

https://www.scientificamerican.com/article/how-math-helped-the-allies-win-world-war-ii/

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Kaiser nurses say AI is changing their jobs—for the worse

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In 2024, hundreds of nurses gathered outside a Kaiser Permanente hospital in San Francisco, carrying signs that read: “Trust nurses, not AI.” As the nurses union started contract negotiations last year, the nonprofit health system’s adoption of artificial intelligence tools was one of the issues workers raised while picketing—and earlier this year, tens of thousands of Kaiser nurses went on strike alongside mental health professionals, largely to protest AI. 

This has become a central issue for healthcare workers in California, and a report from Cal Matters this week reveals why they have pushed back on how they’re being asked to use AI on the job. 

Former and current nurses at Kaiser revealed that their employer has started monitoring their performance closely with AI, evaluating them on how they responded to calls, and how long they spent on the phone with patients (which the company describes as “average handle time”). If their calls with patients crossed 15 minutes, nurses claimed they would be reprimanded or find that their monthly performance score was impacted. 

Nurses said they were typically supposed to follow a script and offer only a few pieces of advice. Many were concerned that Kaiser’s approach to performance management would negatively affect patient care by forcing nurses to limit the length and scope of calls. They also noted that certain conversations—talking to new parents, for example, or patients who needed a translator—necessitated more time. 

As one nurse told Cal Matters, citing a sensitive conversation with a patient that she felt required more care: “I had to ask myself: Am I going to get disciplined for going off script or saying more than what is necessary?”

According to Cal Matters, Kaiser also allegedly used AI to assess their tone or level of empathy. The tool was reportedly tested on nurses in 2024, but Kaiser stopped using it after nurses protested. Still, union representatives claimed that managers said they might eventually revive the program. 

When reached for comment, a Kaiser spokesperson said the company “uses AI responsibly and with human oversight, always prioritizing patient safety, privacy, and equity. AI tools are designed to support our clinicians and care teams, not to replace them. Medical decisions remain in the hands of our clinicians.”

The spokesperson also denied that nurses were disciplined for taking calls that lasted longer than 15 minutes. “Kaiser Permanente does not use Average Handle Time to assess call response performance or enforce call time metrics. Any tools used in contact center settings support our quality assurance efforts and have human review and oversight. At Kaiser Permanente, our nurses are supported and empowered to take the time needed to deliver compassionate care and fully address each patient’s care needs. Our focus is always on ensuring we provide high-quality care through the use of evidence-based practices to achieve the best possible outcomes for our members.”

It’s not just nurses in California who are coming up against these AI systems. In a 2024 survey by National Nurses United—the largest union of registered nurses in the nation—half of workers said their employers were using algorithmic systems to analyze patient records. A notable number of them said their assessment of patients did not always line up with AI-generated guidance, and very often, they could not change the AI recommendations to reflect their opinion.

Healthcare workers in other states have expressed similar concerns over how AI is being used for performance management and in other ways that could potentially harm patients. In New York, the nurses’ union has repeatedly expressed concerns about the incursion of AI into healthcare. One hospital in New York City has been explicit about its alleged plans to replace nurses with AI-powered software. The widespread adoption of AI has also raised alarm bells in Tennessee, where a major for-profit health system—HCA Healthcare—has a controversial partnership with Palantir.  

In other words, it’s not just office workers who are at risk of increased surveillance or likely to be impacted by AI’s growing role in performance management. 

As one nurse put it to Cal Matters: “I’m not against the use of AI as long as it’s beneficial to the patient. But in this particular use, it’s to increase productivity, improve efficiency, and cut costs. Kaiser is forgetting we aren’t just a call center for customer support. We’re nurses, and we’re there to take care of patients.”

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https://images.fastcompany.com/image/upload/f_webp,c_fit,w_750,q_auto/wp-cms-2/2026/07/p-91571569-kaiser-nurses-california-ai-making-care-worse.jpg[Source Photo: Adobe Stock]

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Click the link below for the complete article (sound on to listen):

https://www.fastcompany.com/91571569/kaiser-nurses-say-ai-is-changing-their-jobs-for-the-worse

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ICE Killing in Houston Puts Focus on Surge in Immigration Arrests

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The fatal shooting of a man this week by Immigration and Customs Enforcement agents in Houston has brought into focus an aggressive ramp-up of immigration arrests across the country that has largely occurred outside the public eye.

From large cities like Chicago and Las Vegas to small suburbs outside Milwaukee and San Antonio, immigrants have been picked up and detained at courthouses, ICE check-ins and traffic stops, with daily arrests doubling in the last week of June and continuing to climb.

“The operations have purposely been done behind the scenes,” said Getsy Hernandez, a community organizer with Escucha Mi Voz Iowa, an immigrant-led advocacy group in Iowa City.

Then on Tuesday, federal immigration agents killed Lorenzo Salgado Araujo, a Mexican construction worker and father of three who had lived in the country for more than 30 years without legal status. However, Mr. Salgado Araujo was not the initial target of the agents.

In the days since, the killing has galvanized thousands of protesters, led to calls from local leaders and Latino civil rights groups for independent investigations, and prompted promises of legal action from President Claudia Sheinbaum of Mexico.

Mr. Salgado Araujo was killed during a traffic stop by immigration agents who had been searching for a different person, according to a Department of Homeland Security spokeswoman. When agents tried to stop the vehicle, the encounter quickly escalated, and an agent shot Mr. Salgado Araujo in the abdomen. He died at a hospital hours later.

Homeland Security officials said Mr. Salgado Araujo had tried to use his vehicle as a weapon, though three men who witnessed the killing disputed that account and said the victim had never tried to run over a federal agent. No video of the shooting has emerged. The agents were not wearing body cameras, the spokeswoman has said.

The Houston shooting has dragged ICE and the tactics used by immigration agents back into the national spotlight. Federal officials are defending their actions as part of highly focused operations, but Latino community leaders and immigration lawyers argue the incident follows a string of violent confrontations that have accompanied the surge in arrests. These clashes, they say, show federal agents are continuing to use their most aggressive tactics.

Federal immigration agents have shot at more than 20 people since September, nearly all of them in their cars. Some of the shootings have been fatal.

The Trump administration is continuing to push for more deportations. A Republican-led package signed by President Trump last month has funded $31 billion for ICE activities, such as supporting local and state authorities that have signed cooperation partnerships with the agency, known as 287(g) agreements. For jurisdictions that refuse to cooperate, the funding package has earmarked another $350 million to expand enforcement operations.

In a period of five days at the end of June, ICE officers arrested more than 10,000 people, according to documents obtained by The New York Times. After a brief lull during the July 4 holiday weekend, arrests picked back up by Tuesday, the day Mr. Salgado Araujo was shot. From Tuesday through Thursday, ICE officers across the United States arrested more than 6,000 people, internal records show, a pace of about 2,000 arrests a day.

The effect of the push is being seen across the country.

In Chicago, immigrant rights groups and Hispanic community organizers in a news conference on Thursday had counted at least 70 people taken in three days, many around courthouses. Many of the immigrants apprehended had been charged with minor traffic violations or had been trying to make their appearances before immigration judges. Calls to one legal aid center alone had more than doubled to 1,700 in that time, organizers said.

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https://static01.nyt.com/images/2026/07/10/multimedia/10NAT-ICE-TACTICS-01-hjmk/10NAT-ICE-TACTICS-01-hjmk-jumbo.jpg?quality=75&auto=webpRepresentative Sylvia Garcia spoke during a news conference on the case of Lorenzo Salgado Araujo in Houston on Friday. Credit…Ronaldo Schemidt/Agence France-Presse — Getty Images

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Click the link below for the complete article:

https://www.nytimes.com/2026/07/10/us/ice-immigration-arrests-surge.html

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New York City’s Manhattanhenge is back—here’s how to see it

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New York City loves an exclusive. And on just four evenings every year, Manhattan is treated to an iconic sunset display: Manhattanhenge.

On these special days, the sun’s light lines up perfectly with Manhattan’s East-West grid streets as it drops towards the horizon, causing it to appear centered among the corridors of skyscrapers.

The phenomenon is one of New York City’s most anticipated astronomical spectacles. It happens on two days in late May and two days in mid-July—although just one of the July dates will reveal the entire sun framed between skyscrapers. Here’s everything you need to know about the coming Manhattanhenge.

Where Did “Manhattanhenge” Come From?

Astrophysicist and television personality Neil deGrasse Tyson claims to have coined the term Manhattanhenge. The monicker is an apparent nod to Stonehenge, an ancient British monument which may have acted as a solar calendar and was the likely site of ancient rituals celebrating the solstice.

But unlike its namesake, Manhattanhenge has no celestial function. Instead, it is a happy accident of the Commissioners’ Plan of 1811, which rotated Manhattan’s street grid about 29 degrees east of true north , to follow the island’s natural orientation.

More than two centuries and many skyscrapers later, that decision is what makes Manhattanhenge possible.

Although we’re taught that the sun rises due east and sets due west, that’s only completely true twice a year, during the spring and fall equinoxes. For the rest of the year, the points at which the sun rises and sets slowly migrate along the horizon as the Earth orbits around the star. Twice each year, those points more or less align with Manhattan’s street grid.

How to See Manhattanhenge

Manhattanhenge will occur on Saturday, July 11 and on Sunday, July 12. On Saturday, viewers will see the entire glowing orb of the sun perfectly framed by buildings on either side at around 8:20 P.M. EDT. On Sunday, viewers will see just half the sun framed in such a way, at about 8:21 P.M. EDT.

For the best view of Manhattanhenge, head to one of Manhattan’s wide east-west streets that has an unobstructed view of the New Jersey horizon. The American Museum of Natural History’s Hayden Planetarium recommends 14th, 23rd, 34th, 42nd and 57th Streets. Of these options, 34th and 42nd offer especially striking views depending on where you are along the street, as the sun can be framed by the Empire State and Chrysler Buildings. It’s best to arrive at least 20 to 30 minutes early: the alignment lasts only a few minutes, and the best viewing spots fill up quickly. A partly cloudy forecast isn’t necessarily a dealbreaker. As long as the western horizon remains mostly clear and any clouds stay high overhead, you still have a good chance of catching the alignment. The moment may be brief, but it offers a rare reminder that even in the middle of one of the world’s busiest cities, the cosmos can stop you in your tracks.

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https://static.scientificamerican.com/dam/asset/4451ad43-b3cd-410a-97aa-16ed0d740dd8/Manhattanhenge.jpg?m=1783369604.621&w=900

The sun sets along 42nd Street near Times Square, the day after “Manhattanhenge” on May 30, 2026, in New York City.

Craig T. Fruchtman/Getty Images

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Click the link below for the complete article:

https://www.scientificamerican.com/article/new-york-citys-manhattanhenge-is-back-heres-how-to-see-it/

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