Two mathematicians explain how building bridges within the discipline helped prove Fermat"s last theorem
On June 23, 1993, the mathematician Andrew Wiles gave the last of three lectures detailing his solution to Fermat's last theorem, a problem that had remained unsolved for three and a half centuries. Wiles' announcement caused a sensation, both within.....»»
Consciousness Might Hide in Our Brain’s Electric Fields
A mysterious electromagnetic mechanism may be more important than the firing of neurons in our brain to explain our awareness.....»»
A 41-million-digit prime number is the biggest ever found—but mathematicians" search for perfection will continue
Imagine a number made up of a vast string of ones: 1111111…111. Specifically, 136,279,841 ones in a row. If we stacked up that many sheets of paper, the resulting tower would stretch into the stratosphere......»»
Theoretical model explains the anomalous properties of water in extreme conditions
Water, a molecule essential for life, has unusual properties—known as anomalies—that define its behavior. However, there are still many enigmas about the molecular mechanisms that would explain the anomalies that make the water molecule unique. D.....»»
The reported Apple smart home camera will combine ultimate privacy with Apple Intelligence
Earlier this week Ming-Chi Kuo suggested that we’ll see an Apple smart home camera in 2026, with the company confident it will prove to be a popular accessory, selling in the tens of millions per year. Given Apple’s habit of minimizing the num.....»»
Best early GPU Black Friday deals: Save on top graphics cards now
Building a gaming PC can be expensive, especially when it comes to the GPU but, luckily, we've collected some of the best deals on graphics cards you'll find......»»
Cyber professionals face an IP loss reckoning in 2025
AI can expose your work secrets. The same goes for AI-generated content, which has revolutionized workplace productivity but comes with hidden risks. As more employees use AI models to streamline tasks—whether drafting reports, building code, or de.....»»
5 HBO (Max) movies that are perfect for the fall
These movies prove that Max has one of the deepest libraries of any streaming service......»»
Building a diverse wildland fire workforce to meet future challenges
Every year around this time, California's wildland firefighters hold their breath as hot, dry winds threaten to spread flames across the state. As such conflagrations grow in size and severity throughout the Western U.S., the strain on fire managers.....»»
New insights into the Denisovans—the hominin group that interbred with modern day humans
Scientists believe individuals of the most recently discovered hominin group (the Denisovans) that interbred with modern day humans passed on some of their genes via multiple, distinct interbreeding events that helped shape early human history......»»
Microsoft just learned its lesson about overcharging for AI features
Apple is just getting started with building AI into its various software platforms. However, one of its chief competitors, Microsoft, just learned an important lesson the company could take to heart: most consumers aren’t willing to pay very much f.....»»
Apple Intelligence may get an M4 upgrade
According to , Apple is talking with its biggest iPhone manufacturing partner, , about building new servers in Taiwan. More servers will mean more processing power for Apple Intelligence features, allowing more people to complete more complex tasks......»»
Making farming better for bees: Can we breed crops that produce more nectar and pollen?
Where once there were vast areas of forest and other natural habitats, farmland now covers much of Earth—including 70% of the UK. This transition has helped feed a growing number of people......»»
Hard in theory, easy in practice: Why graph isomorphism algorithms seem to be so effective
Graphs are everywhere. In discrete mathematics, they are structures that show the connections between points, much like a public transportation network. Mathematicians have long sought to develop algorithms that can compare any two graphs......»»
Gamma radiation converts methane into complex organic molecules and could explain the origin of life
Gamma radiation can convert methane into a wide variety of products at room temperature, including hydrocarbons, oxygen-containing molecules, and amino acids, according to a new article published in the journal Angewandte Chemie International Edition.....»»
These LumiCharge smart lamps make excellent multi-purpose gifts — they’re also on sale
Some of the coolest gifts are multi-functional. Allow me to explain. Quirky gifts are great, but that actually provide value to the person you’re giving them to are even better. Multi-functional gift ideas, or gadgets, and gizmos that achieve m.....»»
New modeling of complex biological systems could offer insights into genomic data and other huge datasets
Over the past two decades, new technologies have helped scientists generate a vast amount of biological data. Large-scale experiments in genomics, transcriptomics, proteomics, and cytometry can produce enormous quantities of data from a given cellula.....»»
The mechanics of ovulation: Study explains how muscle-like fibers help eggs squeeze out from follicle
Eggs pop out of ovaries. But what propels them has been unknown. Now, researchers from the University of Connecticut explain in an article published in the September 18 issue of the Proceedings of the National Academy of Sciences that tiny, muscle-li.....»»
Multicomponent hydride designs could advance science of superconducting materials
New materials designed by a University of Illinois Chicago graduate student may help scientists meet one of today's biggest challenges: building superconductors that operate at normal temperatures and pressures......»»
A human topological insulator: Researchers use choreographed dance to explain quantum materials
Science can be difficult to explain to the public. In fact, any subfield of science can be difficult to explain to another scientist who studies in a different area. Explaining a theoretical science concept to high school students requires a new way.....»»
A single atom can change the directional profile of the light emitted in scanning tunneling microscopes
Researchers from Madrid explain a phenomenon that allows the direction of light emission to be controlled at the atomic scale. The paper provides a detailed explanation of how the profile of the light collected in a scanning tunneling microscope (STM.....»»