Genetics reveal how humans island-hopped to settle remote Pacific

Study using DNA analysis reveals not only are statues on these distant islands connected, but inhabitants too

Easter Island’s famous megaliths have relatives on islands thousands of miles to the north and west, and so did the people who created them, a study has found.

Over a 250-year period separate groups of people set out from tiny islands east of Tahiti to settle Easter Island, the Marquesas and Raivavae – archipelagos that are thousands of miles apart but all home to similar ancient statues.

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Einstein’s handwritten calculations for theory of relativity to be auctioned for €3m

The rare document, which records attempts to explain an anomaly in the orbit of Mercury, is ‘a fascinating dive into the mind of the greatest scientist of the 20th century’

A crucial series of Albert Einstein’s calculations, scrawled down as the physicist struggled to account for an anomaly in the orbit of Mercury while developing his theory of general relativity, is set to be auctioned for an eye-watering estimate of up to €3m.

Christie’s France and auction house Aguttes, who will auction the manuscript in Paris on 23 November for an estimate of €2m-€3m, said it documents a crucial stage in the development of the theory of general relativity, and is “without doubt the most valuable Einstein manuscript ever offered at auction”.

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‘Highly effective’ ovarian cancer treatment could help thousands of women

New drug combination shrunk tumours significantly in 46% of patients with treatment-resistant form of disease

Thousands of women with ovarian cancer could benefit from a revolutionary drug combination after it was shown to shrink tumours in half of patients with an advanced form of the disease.

The pair of drugs – which work together to block the signals cancer cells need to grow – could offer a new treatment option for women with a type of ovarian cancer that rarely responds to chemotherapy or hormone therapy.

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Elon Musk welcomes SpaceX crew home with $50m donation to charity

Four-person crew asked for the public’s help in reaching fundraising target of $200m for the children’s charity St Jude

Elon Musk surprised his first all-private crew of space tourists with a welcome home gift after their trailblazing trip to orbit ended on Saturday night: a $50m donation to the children’s charity St Jude.

Related: ‘The point is ambition’: are we ready to follow Netflix into space?

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Readers reply: why do humans cry when they are sad?

The long-running series in which readers answer other readers’ questions on subjects ranging from trivial flights of fancy to profound scientific and philosophical concepts

I understand that tears flush away foreign objects from the eye. But what advantage does crying have when one is feeling sad (or happy)? Perhaps it is to signal an extreme of emotion, but then why would a solitary sad person cry when there was no one around? David Dobbs

Send new questions to nq@theguardian.com.

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Australia Covid live news update: Victoria records 507 new cases and one death ahead of reopening roadmap release; pools to open across Sydney

Premier Dan Andrews is to release Victoria’s roadmap out of lockdown a day after protests in Melbourne, Sydney, Byron Bay and Brisbane. Follow updates live

The Queensland premier, Annastacia Palaszczuk, is holding a press conference in Brisbane. The state has recorded no new cases of Covid-19 in the community or in hotel quarantine.

Palaszczuk is urging people to get vaccinated after the state controversially made the Pfizer vaccine available to over 60s. She’s urging people to attend walk-in Pfizer clinics.

This is an interesting piece on the people for whom the end of Covid restrictions sparks fear rather than joy.

Racquel Sherry, 49 and based in Sydney, is immunocompromised and afraid.

In the roadmap to freedom, I hear nothing about people like me, other than as a qualifying postscript to the Covid deaths: ‘But they had an underlying health condition’.

Freedom day doesn’t include me.

Related: ‘Freedom day doesn’t include me’: for some, the end of lockdown will be a time of fear

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‘Heck of a ride’: SpaceX’s historic amateur astronauts land safely in Atlantic

The four-person crew thanked mission control as they splashed down in the Atlantic

Four space tourists ended their trailblazing trip to orbit on Saturday with a splashdown in the Atlantic off the Florida coast.

Their SpaceX capsule parachuted into the ocean just before sunset, not far from where their chartered flight began three days earlier.

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‘Like nothing in my lifetime’: researchers race to unravel the mystery of Australia’s dying frogs

After asking for public help with their investigations, scientists have received thousands of reports and specimens of dead, shrivelled frogs

In the middle of Sydney’s lockdown, scientist Jodi Rowley has been retrieving frozen dead frogs from her doorstep.

Occasionally one will arrive dried and shrivelled up in the post.

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Ministers told to bar EU from UK trial data in vaccines row

England’s deputy medical chief asked for data to be withheld unless British vaccine guinea pigs allowed to travel abroad

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England’s deputy chief medical officer asked ministers to withhold all UK clinical trial data from the EU if European countries continued to deny entry to British vaccine trial volunteers, the Observer can reveal.

Jonathan Van-Tam made the extraordinary proposal after months of uncertainty for the 19,000 volunteers who are effectively unable to travel to Europe to see family, work or go on holiday because they took part in trials of Novavax and Valneva.

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Nike and Amazon among brands advertising on Covid conspiracy sites

Household names may have unwittingly helped spread fake news, investigation reveals

Dozens of the world’s biggest brands, including Nike, Amazon, Ted Baker and Asos, have been advertising on websites that spread Covid-19 misinformation and conspiracy theories, it has emerged. The companies, as well as an NHS service, are among a string of household names whose ads appear to have helped fund websites that host false and outlandish claims, for example that powerful people secretly engineered the pandemic, or that vaccines have caused thousands of deaths.

Analysis of nearly 60 sites, performed by the Bureau of Investigative Journalism and shared with the Observer, found that ads were placed through the “opaque” digital advertising market, which is forecast to be worth more than $455bn (£387bn) this year.

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Seven simple steps to sounder sleep

How I overcome my chronic insomnia with science

Everything about our day impacts our sleep. How many minutes we spend outside, what and when we eat, what’s happening with our hormones, our habits, emotions, stress and thoughts – all this feeds into the sleep we end up with at night. All of which I was completely oblivious to when battling chronic insomnia for years on end.

Sleep anxiety can create a very real and vicious circle. I would spend hours lying in bed, increasingly wired, anxious and exhausted as time ticked by, with prescription sleeping pills within reach for those 3am nights when I had to be up first thing. The problem is that the more we worry about sleep, the higher our stress hormones go – and too much of the stress hormone cortisol, whatever the trigger, disturbs our sleep. We’re left in a state of fight or flight, when we need to be in the opposite state of rest and digest. When my insomnia was at its worst, I’d start my day exhausted, running on empty, and have recurring burn-out days, where an overwhelming fatigue would stop me in my tracks, forcing me to lie down and recharge.

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People with chronic conditions among most at risk from Covid even after jabs

Research finds those with Down’s syndrome, Parkinson’s and other conditions may benefit from booster dose

People living with chronic conditions such as Down’s syndrome and dementia remain among the most vulnerable to Covid-19 even after vaccination, research has found.

The study, based on data from more than 6.9 million vaccinated adults, 5.2 million of whom had received both doses, found that being vaccinated offers powerful protection against hospitalisation for almost all groups. However, a risk calculator based on the data shows that some groups remain at particular risk and may benefit from booster vaccine doses and treatments such as monoclonal antibodies.

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Why does world’s tallest populace seem to be getting shorter?

Dutch people born in 2001 are not as tall as previous generation – is it genetics, migration or nutrition?

From brutal conflicts to periods of prosperity, pandemics to triumphs for equality, human history is full of highs and lows. But such fluctuations don’t just affect society: the human body can also be a sign of the times.

Studies have shown that our height is not just a matter of genetics but is also influenced by the environment we live in, with key factors including our nutrition and experience of sickness, such as diarrhoea.

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Rules on GM farming and cars to be top of UK bonfire of EU laws

Minister reveals plans to change laws inherited from EU, with rules on medical devices also in crosshairs

Rules on genetically modified farming, medical devices and vehicle standards will be top of a bonfire of laws inherited from the EU as the government seeks to change legislation automatically transferred to the UK after Brexit.

Thousands of laws and regulations are to be reviewed, modified or repealed under a new programme aimed at cementing the UK’s independence and “Brexit opportunities”, David Frost has announced.

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Food fraud and counterfeit cotton: the detectives untangling the global supply chain

Amid the complex web of international trade, proving the authenticity of a product can be near-impossible. But one company is taking the search to the atomic level

Five years ago, the textile giant Welspun found itself mired in a scandal that hinged on a single word: “Egyptian”. At the time, Welspun was manufacturing more than 45m metres of cotton sheets every year – enough to tie a ribbon around the Earth and still have fabric left over for a giant bow. It supplied acres of bed linen to the likes of Walmart and Target, and among the most expensive were those advertised as “100% Egyptian cotton”. For decades, cotton from Egypt has claimed a reputation for being the world’s finest, its fibres so long and silky that it can be spun into soft, luxurious cloth. In Welpsun’s label, the word “Egyptian” was a boast and a promise.

But the label couldn’t always be trusted, it turned out. In 2016, Target carried out an internal investigation that led to a startling discovery: roughly 750,000 of its Welspun “Egyptian cotton” sheets and pillowcases were made with an inferior kind of cotton that didn’t come from Egypt at all. After Target offered its customers refunds and ended its relationship with Welspun, the effects rippled through the industry. Other retailers, checking their bed linen, also found Welspun sheets falsely claiming to be Egyptian cotton. Walmart, which was sued by shoppers who had bought Welspun’s “Egyptian cotton” products, refused to stock Welspun sheets any more. A week after Target made its discoveries public, Welspun had lost more than $700m from its market value. It was cataclysmic for the company.

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SpaceX rocket to take world’s first all-civilian crew into orbit

Four-person Inspiration4 mission will orbit Earth for up to four days and marks latest step in space tourism

The world’s first crew of “amateur astronauts” is preparing to blast off on a mission that will carry them into orbit around Earth before bringing them back home at the weekend.

The four civilians, who have spent the past few months on an astronaut training crash course, are due to launch on SpaceX’s Falcon 9 rocket from the Kennedy Space Center in Florida at 8.02pm local time on Wednesday (1.02am UK time on Thursday).

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‘The virus is painfully real’: vaccine hesitant people are dying – and their loved ones want the world to listen

In the UK, the majority of those now in hospital with Covid-19 are unvaccinated. Many face their last days with enormous regret, and their relatives are telling their stories to try to convince others like them

Matt Wynter, a 42-year-old music agent from Leek, Staffordshire, was working out in his local gym in mid-August when he saw, to his great surprise, that his best friend, Marcus Birks, was on the television. He jumped off the elliptical trainer and listened carefully.

The first thing he noticed was that Birks, who was also from Leek and a performer with the dance group Cappella, looked terrible. He was gasping for breath and his face was pale. “Marcus would never usually have gone on TV without having done his hair and had a shave,” Wynter says.

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Fully vaccinated people account for 1.2% of England’s Covid-19 deaths

ONS figures show 51,281 Covid deaths between January and July, with 458 dying at least 21 days after second dose

People who were fully vaccinated accounted for just 1.2% of all deaths involving Covid-19 in England in the first seven months of this year.

The figures, published by the Office for National Statistics (ONS), have been seized on as proof of the success of the vaccine programme.

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