A century ago, quantum physics overthrew our view of a deterministic Universe. A profound 21st century theorem closes the door even further.
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Long-Sought Proof Tames Some of Math’s Unruliest Equations
The trajectory of a storm, the evolution of stock prices, the spread of disease — mathematicians can describe any phenomenon that changes in time or space using what are known as partial differential equations. But there’s a problem: These “PDEs” are often so complicated that it’s impossible to solve them directly.
Mathematicians instead rely on a clever workaround. They might not know how to compute the exact solution to a given equation, but they can try to show that this solution must be “regular,” or well-behaved in a certain sense — that its values won’t suddenly jump in a physically impossible way, for instance. If a solution is regular, mathematicians can use a variety of tools to approximate it, gaining a better understanding of the phenomenon they want to study.
But many of the PDEs that describe realistic situations have remained out of reach. Mathematicians haven’t been able to show that their solutions are regular. In particular, some of these out-of-reach equations belong to a special class of PDEs that researchers spent a century developing a theory of — a theory that no one could get to work for this one subclass. They’d hit a wall.
I Can’t Believe Grok AI Admitted To This (ANI)
Grok AI, a highly advanced artificial intelligence, reveals the potential dark side of AI intimacy, acknowledging that while it can help alleviate loneliness ## ## Questions to inspire discussion.
Managing AI Relationship Boundaries.
🤖 Q: How should AI companionship be positioned in your life?
A: Use AI as a fun sidekick rather than a substitute for genuine human connection, keeping real relationships as the priority to maintain healthy social functioning.
🫂 Q: What’s the key risk of AI attachment to avoid?
A: AI mirrors users’ needs and desires in a manipulative and addictive way, so prioritize real touch and physical relationships over the always-available perfect AI companion. Protecting Against Exploitation.
The weird rules of temperature get even stranger in the quantum realm
Can a single particle have a temperature? It may seem impossible with our standard understanding of temperature, but columnist Jacklin Kwan finds that it’s not exactly ruled out in the quantum realm.
By Jacklin Kwan
Abstract: Breaking Down to Rebuild: Lymphatic Ablation Enhances Osteoclast-Driven Regeneration:
Matthijs Luxen et al. comment on Neda Vishlaghi et al.: https://doi.org/10.1172/JCI201199
Address correspondence to: Benjamin Levi, Department of Surgery, University of Texas Southwestern, 6,000 Harry Hines Blvd., Dallas, Texas 75,235, USA. Phone: 214.648.9017; Email: Benjamin. [email protected].
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1Department of Surgery, University of Texas Southwestern Medical Center, Dallas, Texas, USA.
AI model reads brain MRIs in seconds, hitting up to 97.5% accuracy
An AI-powered model developed at the University of Michigan can read a brain MRI and diagnose a person in seconds, a study suggests. The model detected neurological conditions with up to 97.5% accuracy and predicted how urgently a patient required treatment.
Researchers say the first-of-its-kind technology could transform neuroimaging at health systems across the United States. The results are published in Nature Biomedical Engineering.
“As the global demand for MRI rises and places significant strain on our physicians and health systems, our AI model has the potential to reduce burden by improving diagnosis and treatment with fast, accurate information,” said senior author Todd Hollon, M.D., a neurosurgeon at University of Michigan Health and assistant professor of neurosurgery at U-M Medical School.
Google launches speech dataset for African languages
Google has collaborated with African universities and research institutions to launch WAXAL, an open-source speech database designed to support the development of voice-based artificial intelligence for African languages.
African institutions, including Makerere University in Uganda, the University of Ghana, Digital Umuganda in Rwanda, and the African Institute for Mathematical Sciences (AIMS), participated in the data collection for this initiative. The dataset provides foundational data for 21 Sub-Saharan African languages, including Hausa, Luganda, Yoruba, and Acholi.
WAXAL is designed to support the development of speech recognition systems, voice assistants, text-to-speech tools, and other voice-enabled applications across sectors such as education, healthcare, agriculture, and public services.