Study predicts the oceans will start emitting ozone-depleting CFCs eurekalert.org - get the latest breaking news, showbiz & celebrity photos, sport news & rumours, viral videos and top stories from eurekalert.org Daily Mail and Mail on Sunday newspapers.
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What do you do after solving the answer to life, the universe, and everything? If you re mathematicians Drew Sutherland and Andy Booker, you go for the harder problem.
In 2019, Booker, at the University of Bristol, and Sutherland, principal research scientist at MIT, were the first to find the answer to 42. The number has pop culture significance as the fictional answer to the ultimate question of life, the universe, and everything, as Douglas Adams famously penned in his novel The Hitchhiker s Guide to the Galaxy. The question that begets 42, at least in the novel, is frustratingly, hilariously unknown.
In mathematics, entirely by coincidence, there exists a polynomial equation for which the answer, 42, had similarly eluded mathematicians for decades. The equation x3+y3+z3=k is known as the sum of cubes problem. While seemingly straightforward, the equation becomes exponentially difficult to solve when framed as a Diophantine equation a problem that stipulate
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Each week, Sunday Life’s beauty director Stephanie Darling roadtests a different makeup or skincare trend to find out whether it’s worth your time. Ahead, Stephanie gets the beauty lowdown on customised skin prescriptions and some fragrant car diffusers.
The prescription skincare products come complete with a three-step routine and descriptions of each product on neat little cards.
Credit:iStock
Road Test
I’ve heard so much about the wonders of WA’s The Secret Skincare range that I have to try it.
The lowdown The secret is out! Dr Clara Hurst and Dr Deb Cohen-Jones are founders of The Secret Skincare, a brand with serious cult status. After filling out the extensive questionnaire they emailed me, I receive my highly active bespoke prescription skincare products, complete with a three-step routine and descriptions of each product on neat little cards.
Beauty Beat: customised skin prescriptions, car diffusers, smaller pores and stronger nails theage.com.au - get the latest breaking news, showbiz & celebrity photos, sport news & rumours, viral videos and top stories from theage.com.au Daily Mail and Mail on Sunday newspapers.
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IMAGE: A new MIT-fabricated metalens shifts focus without tilting, shifting, or otherwise moving. The design may enable miniature zoom lenses for drones, cellphones, or night-vision goggles. view more
Credit: Image courtesy of Tian Gu, et al
Polished glass has been at the center of imaging systems for centuries. Their precise curvature enables lenses to focus light and produce sharp images, whether the object in view is a single cell, the page of a book, or a far-off galaxy.
Changing focus to see clearly at all these scales typically requires physically moving a lens, by tilting, sliding, or otherwise shifting the lens, usually with the help of mechanical parts that add to the bulk of microscopes and telescopes.