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Euclidean geometry
Euclidean geometry is a mathematical well-known system attributed to the Greek mathematician Euclid of Alexandria. Euclid's text Elements was the first systematic discussion of geometry. It has been one of the most influential books in history, as much for its method as for its mathematical content. The method consists of assuming a small set of intuitively appealing axioms, and then proving many other propositions (theorems) from those axioms. Although many of Euclid's results had been stated by earlier Greek mathematicians, Euclid was the first to show how these propositions could be fitted together into a comprehensive deductive and logical system.
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Computers & Math News
December 26, 2025
Dec. 26, 2025 A new microchip-sized device could dramatically accelerate the future of quantum computing. It controls laser frequencies with extreme precision while using far less power than today’s bulky systems. Crucially, it’s made with standard chip ...
Dec. 26, 2025 Scientists in Japan have confirmed that ultra-thin films of ruthenium dioxide belong to a newly recognized and powerful class of magnetic materials called altermagnets. These materials combine the best of two magnetic worlds: they’re stable ...
Dec. 24, 2025 Researchers have created a new kind of 3D computer chip that stacks memory and computing elements vertically, dramatically speeding up how data moves inside the chip. Unlike traditional flat designs, this approach avoids the traffic jams that limit ...
Dec. 23, 2025 A new discovery shows that messy, stray light can be used to clean up quantum systems instead of disrupting them. University of Iowa researchers found that unwanted photons produced by lasers can be canceled out by carefully tuning the light itself. ...
Dec. 22, 2025 A new AI developed at Duke University can uncover simple, readable rules behind extremely complex systems. It studies how systems evolve over time and reduces thousands of variables into compact equations that still capture real behavior. The method ...
Dec. 21, 2025 Spanish researchers have created a powerful new open-source tool that helps uncover the hidden genetic networks driving cancer. Called RNACOREX, the software can analyze thousands of molecular interactions at once, revealing how genes communicate ...
Dec. 19, 2025 Researchers have revealed that so-called “junk DNA” contains powerful switches that help control brain cells linked to Alzheimer’s disease. By experimentally testing nearly 1,000 DNA switches ...
Dec. 17, 2025 AI tools designed to diagnose cancer from tissue samples are quietly learning more than just disease patterns. New research shows these systems can infer patient demographics from pathology slides, leading to biased results for certain groups. The ...
Dec. 17, 2025 Researchers have shown that quantum signals can be sent from Earth up to satellites, not just down from space as previously believed. This breakthrough could make global quantum networks far more powerful, affordable, and ...
Dec. 16, 2025 A newly developed AI can predict which diseases specific genetic mutations are likely to cause, not just whether they are harmful. The breakthrough could speed up diagnoses and open new paths for personalized ...
Dec. 14, 2025 Researchers used a deep learning AI model to uncover the first imaging-based biomarker of chronic stress by measuring adrenal gland volume on routine CT scans. This new metric, the Adrenal Volume Index, correlates strongly with cortisol levels, ...
Dec. 9, 2025 BISC is an ultra-thin neural implant that creates a high-bandwidth wireless link between the brain and computers. Its tiny single-chip design packs tens of thousands of electrodes and supports advanced AI models for decoding movement, perception, ...
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Dec. 17, 2025 People think online platforms are overflowing with toxic and misleading content, but the reality is far calmer. A small group of highly active users creates most of the harm, while the majority ...
Dec. 16, 2025 Ramanujan’s elegant formulas for calculating pi, developed more than a century ago, have unexpectedly resurfaced at the heart of modern physics. Researchers at IISc discovered that the same ...
Dec. 8, 2025 Researchers have built a fully implantable device that sends light-based messages directly to the brain. Mice learned to interpret these artificial patterns as meaningful signals, even without touch, ...
Dec. 6, 2025 New findings challenge the widespread belief that AI is an environmental villain. By analyzing U.S. economic data and AI usage across industries, researchers discovered that AI’s energy ...
Dec. 5, 2025 Scientists have discovered how to electrically power insulating nanoparticles using organic molecules that act like tiny antennas. These hybrids generate extremely pure near-infrared light, ideal for ...
Dec. 5, 2025 A researcher from the University of Tokyo and a U.S.-based structural engineer developed a new computational form-finding method that could change how architects and engineers design lightweight and ...
Dec. 5, 2025 Researchers engineered a strained germanium layer on silicon that allows charge to move faster than in any silicon-compatible material to date. This record mobility could lead to chips that run ...
Dec. 2, 2025 A UC Irvine team uncovered a never-before-seen quantum phase formed when electrons and holes pair up and spin in unison, creating a glowing, liquid-like state of matter. By blasting a custom-made ...
Dec. 1, 2025 Researchers unveiled a new technique that validates quantum computer results—especially those from GBS devices—in minutes instead of millennia. Their findings expose unexpected errors in a ...
Nov. 29, 2025 Quantum communication is edging closer to reality thanks to a breakthrough in teleporting information between photons from different quantum dots—one of the biggest challenges in building a quantum ...