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Math professor could help answer physics of ice buildup on planes

Team develops simulation algorithms for safer, greener, and more aerodynamic aircraft.


Ice buildup on aircraft wings and fuselage occurs when atmospheric conditions conducive to ice formation are encountered during flight, presenting a critical area of focus for their research endeavors.

Ice accumulation on an aircraft during flight poses a significant risk, potentially impairing its performance and, in severe cases, leading to catastrophic consequences.

Fernández’s laboratory is dedicated to the development of algorithms and software tools aimed at comprehensively understanding these processes and leveraging this knowledge to enhance future aircraft designs, thereby mitigating potential negative outcomes.

How Tool Used Math to Create “Lateralus”

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Our brains are vector databases — here’s why that’s helpful when using AI

The parallels between human memory and vector databases go deeper than simple retrieval. Both excel at compression, reducing complex information into manageable patterns. Both organize information hierarchically, from specific instances to general concepts. And both excel at finding similarities and patterns that might not be obvious at first glance.

This isn’t just about professional efficiency — it’s about preparing for a fundamental shift in how we interact with information and technology. Just as literacy transformed human society, these evolved communication skills will be essential for full participation in the AI-augmented economy. But unlike previous technological revolutions that sometimes replaced human capabilities, this one is about enhancement. Vector databases and AI systems, no matter how advanced, lack the uniquely human qualities of creativity, intuition, and emotional intelligence.

The future belongs to those who understand how to think and communicate in vectors — not to replace human thinking, but to enhance it. Just as vector databases combine precise mathematical representation with intuitive pattern matching, successful professionals will blend human creativity with AI’s analytical power. This isn’t about competing with AI or simply learning new tools — it’s about evolving our fundamental communication skills to work in harmony with these new cognitive technologies.

A new system of logic could boost critical thinking and AI

The rigid structures of language we once clung to with certainty are cracking. Take gender, nationality or religion: these concepts no longer sit comfortably in the stiff linguistic boxes of the last century. Simultaneously, the rise of AI presses upon us the need to understand how words relate to meaning and reasoning.

A global group of philosophers, mathematicians and have come up with a new understanding of logic that addresses these concerns, dubbed “inferentialism”

One standard intuition of logic, dating back at least to Aristotle, is that a logical consequence ought to hold by virtue of the content of the propositions involved, not simply by virtue of being “true” or “false”. Recently, the Swedish logician Dag Prawitz observed that, perhaps surprisingly, the traditional treatment of logic entirely fails to capture this intuition.

Mathematical approach can predict crystal structure in hours instead of months

Researchers at New York University have devised a mathematical approach to predict the structures of crystals—a critical step in developing many medicines and electronic devices—in a matter of hours using only a laptop, a process that previously took a supercomputer weeks or months. Their novel framework is published in the journal Nature Communications.

How Geometry Revealed Quantum Memory

The unexpected discovery of a geometric phase shows how math and physics are tightly intertwined.

By Manon Bischoff

I didn’t find math particularly exciting when I was in high school. To be honest, I only studied it when I went to university because it initially seemed quite easy to me. But in my very first math lecture as an undergraduate, I realized that everything I thought I knew about math was wrong. It was anything but easy. Mathematics, I soon discovered, can be really exciting—especially if you go beyond the realm of pure arithmetic.

Scientists Caught Sperm Defying One of The Laws of Physics

With their slender tails, human sperm propel themselves through viscous fluids, seemingly in defiance of Newton’s third law of motion, according to a recent study that characterizes the motion of these sex cells and single-celled algae.

Kenta Ishimoto, a mathematical scientist at Kyoto University, and colleagues investigated these non-reciprocal interactions in sperm and other microscopic biological swimmers, to figure out how they slither through substances that should, in theory, resist their movement.

When Newton conceived his now-famed laws of motion in 1686, he sought to explain the relationship between a physical object and the forces acting upon it with a few neat principles that, it turns out, don’t necessarily apply to microscopic cells wriggling through sticky fluids.

Forget Black Holes—White Holes Would Break Your Puny Brain

White holes, the theoretical opposites of black holes, could expel matter instead of absorbing it. Unlike black holes, whose event horizon traps everything, white holes would prevent anything from entering. While no white holes have been observed, they remain an intriguing mathematical possibility. Some astrophysicists have speculated that gamma ray bursts could be linked to white holes, and even the Big Bang might be explained by a massive white hole. Although the second law of thermodynamics presents a challenge, studying these singularities could revolutionize our understanding of space-time and cosmic evolution.

After reading the article, Harry gained more than 724 upvotes with this comment: “It amazes me how Einstein’s theory and equations branched off into so many other theoretical phenomena. Legend legacy.”

Black holes may well be the most intriguing enigmas in the Universe. Believed to be the collapsed remnants of dead stars, these objects are renowned for one characteristic in particular – anything that goes in never comes out.

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