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Archive for the ‘mathematics’ category: Page 14

Jun 2, 2024

Mathematicians Attempt to Glimpse Past the Big Bang

Posted by in categories: cosmology, mathematics

By studying the geometry of model space-times, researchers offer alternative views of the universe’s first moments.

May 30, 2024

New device precisely controls photon emission for more efficient portable screens

Posted by in categories: computing, mathematics, nanotechnology, quantum physics

Recently, a team of chemists, mathematicians, physicists and nano-engineers at the University of Twente in the Netherlands developed a device to control the emission of photons with unprecedented precision. This technology could lead to more efficient miniature light sources, sensitive sensors, and stable quantum bits for quantum computing.

May 30, 2024

The I.Q. of GPT4 is 124 approx

Posted by in categories: biotech/medical, mathematics

GPT4 can score better than 95% of the average human on aptitude tests.

The GPT-4 language model recently completed the Scholastic Aptitude Test (SAT), achieving a verbal score of 710 and a math score of 690, resulting in a combined score of 1400. Based on U.S. norms, this corresponds to a verbal IQ of 126, a math IQ of 126, and a full-scale IQ of 124. If taken at face value, one might conclude that GPT-4 surpasses 95% of the American population in intelligence and is approximately as intelligent as the average doctoral degree holder, medical doctor, or attorney.

However, the question remains: Is administering an IQ test to GPT-4 a valid undertaking or a significant categorization mistake?

May 28, 2024

Hayato Saigo (Nagahama bio Univ.) Mathematical Principles of Consciousness Science

Posted by in categories: mathematics, neuroscience, quantum physics, science

Noncommutative probability and categorical structure Quantum-like revolut…

May 28, 2024

A Huge Cosmology Problem Might Just Have Disappeared

Posted by in categories: computing, cosmology, mathematics, open access, physics

Take courses in science, computer science, and mathematics on Brilliant! First 30 days are free and 20% off the annual premium subscription when you use our link ➜ https://brilliant.org/sabine.

The rate at which the universe is currently expanding is known as the Hubble Rate. In recent years, different measurements have given different results for the Hubble rate, a discrepancy between theory and observation that’s been called the “Hubble tension”. Now, a team of astrophysicists claims the Hubble tension is gone and it’s the fault of supernovae data. Let’s have a look.

Continue reading “A Huge Cosmology Problem Might Just Have Disappeared” »

May 27, 2024

New Discoveries about Jupiter’s Magnetosphere

Posted by in categories: energy, mathematics, physics, satellites

New discoveries about Jupiter could lead to a better understanding of Earth’s own space environment and influence a long-running scientific debate about the solar system’s largest planet. “By exploring a larger space such as Jupiter, we can better understand the fundamental physics governing Earth’s magnetosphere and thereby improve our space weather forecasting,” said Peter Delamere, a professor at the UAF Geophysical Institute and the UAF College of Natural Science and Mathematics.

“We are one big space weather event from losing communication satellites, our power grid assets, or both,” he said.

Space weather refers to disturbances in the Earth’s magnetosphere caused by interactions between the solar wind and the Earth’s magnetic field. These are generally associated with solar storms and the sun’s coronal mass ejections, which can lead to magnetic fluctuations and disruptions in power grids, pipelines and communication systems.

May 26, 2024

The S-Matrix Is the Oracle Physicists Turn To in Times of Crisis

Posted by in categories: mathematics, particle physics

The Standard Model Lagrangian specifies all known particles that might come into being during a collision and how they might interact.


particle physics

By Matt von Hippel

Continue reading “The S-Matrix Is the Oracle Physicists Turn To in Times of Crisis” »

May 25, 2024

Euryphysics: a (somewhat) new conceptual model of mind, reality and psi

Posted by in category: mathematics

Awodey, Steve, Álvaro Pelayo, Michael A. Warren (2013). Voevodsky’s Univalence Axiom in homotopy type theory. Notices of the American Mathematical Society.

Bakhtin, Mikhail (1984). Bakhtin’s analysis of Dostoevsky. Problems of Dostoevsky’s Poetics. U. Minn. Press.

Carpenter, James (2012). First Sight: ESP and Parapsychology in Everyday Life. Rowan & Littlefield.

May 25, 2024

Scientist Proposes a New Universal Law of Biology That May Explain Aging

Posted by in categories: biological, life extension, mathematics, physics

Life appears to require at least some instability. This fact should be considered a biological universality, proposes University of Southern California molecular biologist John Tower.

Biological laws are thought to be rare and describe patterns or organizing principles that appear to be generally ubiquitous. While they can be squishier than the absolutes of math or physics, such rules in biology nevertheless help us better understand the complex processes that govern life.

Most examples we’ve found so far seem to concern themselves with the conservation of materials or energy, and therefore life’s tendency towards stability.

May 23, 2024

No, Today’s AI Isn’t Sentient. Here’s How We Know

Posted by in categories: food, mathematics, robotics/AI, space

All sensations—hunger, feeling pain, seeing red, falling in love—are the result of physiological states that an LLM simply doesn’t have. Consequently we know that an LLM cannot have subjective experiences of those states. In other words, it cannot be sentient.

An LLM is a mathematical model coded on silicon chips. It is not an embodied being like humans. It does not have a “life” that needs to eat, drink, reproduce, experience emotion, get sick, and eventually die.

It is important to understand the profound difference between how humans generate sequences of words and how an LLM generates those same sequences. When I say “I am hungry,” I am reporting on my sensed physiological states. When an LLM generates the sequence “I am hungry,” it is simply generating the most probable completion of the sequence of words in its current prompt. It is doing exactly the same thing as when, with a different prompt, it generates “I am not hungry,” or with yet another prompt, “The moon is made of green cheese.” None of these are reports of its (nonexistent) physiological states. They are simply probabilistic completions.

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