Has a mathematician solved the "invariant subspace problem"? And what does that even mean?
Two weeks ago, a modest-looking paper was uploaded to the arXiv preprint server with the unassuming title "On the invariant subspace problem in Hilbert spaces." The paper is just 13 pages long and its list of references contains only a single entry......»»
Water-free manufacturing approach could help advance 2D electronics integration
The future of technology has an age-old problem: rust. When iron-containing metal reacts with oxygen and moisture, the resulting corrosion greatly impedes the longevity and use of parts in the automotive industry......»»
From pollution to power: Merging wastewater treatment and energy generation with capacitive MFC innovations
Imagine standing on the edge of a new frontier, where waste—something we often view as a problem—becomes the solution. We live in a world that needs innovation, where environmental challenges demand a sustainable approach, and where we need techn.....»»
Stephen Hawking"s black hole radiation paradox could finally be solved — if black holes aren"t what they seem
Stephen Hawking"s black hole radiation paradox could finally be solved — if black holes aren"t what they seem.....»»
Europa Clipper overcomes transistor issue and is ready for launch next month
This May, engineers working on NASA's Europa Clipper had to deliver the kind of news that no one wants to announce: there was a problem with the spacecraft......»»
Goodbye dead zones: Brilliant new tech turns windows into 5G antennas
We’ve been using 5G technology and its faster data speeds for several years now. However, the main problem with 5G networks is that extending coverage … The post Goodbye dead zones: Brilliant new tech turns windows into 5G antennas appear.....»»
This Elegant Math Problem Could Help You Make the Best Choice in House-Hunting and Even Love
Math’s “best-choice problem” could help humans become better decision-makers, at everything from choosing the best job candidate to finding a romantic partner.....»»
Volkswagen halts ID. 4 production and sales due to bad door handles
The company is still working on a remedy to the problem. Enlarge / Instead of giving the ID.4 complicated door handles that recess into the side of the car, VW has designed these to be flush yet always accessible. (credit: Volksw.....»»
Can toddlers help explain the origins of our bias for wealth?
Income and wealth inequality in the U.S. remain near all-time highs. Analysts say this disparity is a "major issue of our time." Experts have spotlighted deep policy failures fueling the problem and helpful economic fixes to alleviate the suffering......»»
Antioxidant carbon dot nanozymes alleviate depression in rats by restoring the gut microbiome
Depression is a significant challenge to diagnose and treat. Among the factors influencing depression onset and severity, there is growing evidence for chemical imbalances that generate oxidative stress throughout the body. To address this problem, r.....»»
Will customers accept less meat in their cafeteria meals?
Meat consumption in industrial nations is much too high and this not only increases the risk of e.g. cardiovascular diseases. Increasing levels of animal husbandry also aggravate the global food problem because the cultivation of animal feed uses val.....»»
Why This Great Mathematician Wanted a Heptadecagon on His Tombstone
Mathematician Gauss left behind a trophy case of mathematical achievements to highlight on his tombstone, but above all he wanted a regular heptadecagon etched on it.....»»
Mystery of Deep-Ocean ‘Biotwang’ Sound Has Finally Been Solved
A strange sound dubbed “biotwang” was first heard bouncing around the Mariana Trench 10 years ago, and scientists have finally figured out where it comes from.....»»
‘Retirement is not a math problem,’ says one of retirement’s top math experts
‘Retirement is not a math problem,’ says one of retirement’s top math experts.....»»
Don’t want a PS5 Pro? Grab the PS5 Slim 1TB manufacturer refurbished for $425
Don't want the new $700 PS5 Pro? No problem. Why not consider this refurbished PS5 Slim 1TB for a discount at Target......»»
Deep design produces "butterfly" phase mask for light-sheet fluorescence microscopy
Researchers have introduced a solution to the problem of light-sheet fluorescence microscopy: novel illumination beams designed based on deep learning using a trainable phase mask. Their study eliminates the need for sophisticated optical design tool.....»»
Saturday Citations: Permian-Triassic mystery solved; cute baby sighted; the nine-day 2023 seismic event
This week, a billionaire made a spacewalk, archaeologists found a new, isolated Neanderthal lineage and the James Webb Space Telescope revealed the extreme outskirts of the Milky Way. And a few other things happened:.....»»
Here’s why you shouldn’t freak out about lead in your cinnamon
For the most part, you'd have to eat a weirdly large amount to cause a problem. Enlarge / Cinnamon buns. (credit: Getty | Christoph Schmidt) Consumer Reports on Thursday reported the concentration of lead it found in 36.....»»
The biggest problem with the Ray-Ban Meta glasses is time
The Ray-Ban Meta glasses are excellent — but it's unlikely their hardware will last as long as my analog Ray-Bans have......»»
Newly discovered antimicrobial could prevent or treat cholera
More than a million people each year die from infections by pathogens that are resistant to antimicrobials, and the problem is growing. Meanwhile, the discovery of new antimicrobials that can help stem the tide has not kept pace......»»
10 Best Parental Control Apps in 2024
Research shows that more than 56% of children between the ages of 10 – 16 have been exposed to inappropriate content while online. This problem, combined with the fact that most children are active on the internet, makes it necessary for parent.....»»