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Euclid showed that mathematical truths come from basic axioms through logical reasoning, but traditional proofs often had hidden assumptions that weakened their rigor.
Mathematical notation and writing systems don't just record ideas—they actively shape how mathematicians think and solve problems, making written formats integral to mathematical discovery itself.
Researchers from Kyushu University and Johannes Gutenberg University have broken the "physical ceiling" of solar energy conversion by achieving a 130% quantum yield using singlet fission technology and a specialized...
Axiom Math released Axplorer, a free AI tool that helps mathematicians discover patterns and solve complex problems on personal computers in hours instead of weeks.
Scientists developed a new bifacial solar cell design using patterned contacts that achieved 26.34% efficiency alone and 32.73% when combined with perovskite materials in tandem configuration.
NASA unveiled ambitious plans to establish a permanent moon base by 2030 and launch the first nuclear-powered interplanetary spacecraft in 2028, with an estimated $20 billion investment over seven years. The agency will conduct...
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A baby planet ten times the size of Jupiter is tumbling through space around a star 437 light-years away, offering astronomers a rare glimpse into how solar systems actually form. The discovery marks only the second confirmed...
University of Michigan seismologist Zack Spica has developed technology that transforms fiber optic internet cables into earthquake detection systems using distributed acoustic sensing and AI. Through his startup Lumetec, Spica...
High-energy electrons fired at a Venus flytrap instantly triggered all traps to slam shut simultaneously. The radiation-damaged traps remained permanently closed, and the plant died within weeks from cellular damage.
Texas A&M University aerospace engineers have designed QUEST, a quadrotor biplane that hovers like a drone but tilts 90 degrees to cruise like a fixed-wing aircraft, addressing the gap between small search drones and expensive...
New research reveals that vivid, immersive dreams during REM sleep make people feel more rested, even when physiological sleep markers suggest otherwise. Italian neuroscientists monitored 44 adults' brain waves in a sleep lab and...
NASA is abandoning its planned lunar Gateway space station to focus on establishing a permanent moon base through its Artemis program. Administrator Jared Isaacman announced the shift aims to simplify operations, compete with...
NASA launched a formal request for information to accelerate development of International Space Station replacements, proposing that companies build and test new commercial modules directly on the ISS before detaching them to...
Researchers developed a hybrid AI model combining deep learning and particle filtering that predicts lithium battery lifespan with 87% higher accuracy than existing methods by extracting patterns and continuously correcting...
Spain finished testing Europe's largest vanadium flow battery, a 1 MW/8 MWh system providing 15+ hours of power. The €6.4 million facility researches long-duration energy storage solutions.
Industrial exoskeletons are transforming physically demanding jobs by reducing muscle strain and boosting worker endurance through three main types: passive suits using springs, powered versions with motors providing massive...
CERN scientists successfully transported 92 antiprotons by truck around a 4-kilometer road loop near Geneva, marking the first-ever road transport of antimatter. The 20-minute journey used a portable container called STEP that...
A Florida resident built an off-grid air conditioning system using solar panels to freeze 2.5 gallons of water during the day, storing thermal energy that provides 700 watts of cooling power for several days. The system uses a...
Phantom crane flies spread their legs like parachutes to catch wind and float, keeping wings motionless. Researchers copied this passive flight method to create energy-efficient mini flying machines.
A long-standing mathematical debate centers on whether 0.999... (nine repeating infinitely) equals 1, with most mathematicians providing various proofs that they are indeed equal, such as showing that 1⁄3 = 0.333... multiplied by...
Mars has been spinning slightly faster each year, with days shrinking by 70 microseconds annually, puzzling scientists about the cause. New research suggests a massive plume of lighter-than-normal rock beneath the Tharsis...
Electromagnetic tracks stretching dozens of kilometers across the lunar surface would fling AI-powered satellites into space like cosmic slingshots under Elon Musk's latest audacious proposal. Project TERAFAB aims to relocate the...
Elon Musk announced plans to build a "Terafab" chip manufacturing facility in Austin, Texas, aiming to produce a terawatt of computing power annually—50 times more than current global production of 20 gigawatts. His ambitious...
Scientists at the University of Manchester and IBM Zurich have created a molecule with a "half-Möbius" structure that exhibits new electronic properties. Unlike traditional molecules or full Möbius strips that twist 180 degrees,...