Archive for the ‘mathematics’ category: Page 35

Mar 9, 2023

A Brief History of Dirac Delta Function

Posted by in categories: engineering, mathematics, quantum physics

From Cauchy to Dirac — A Century-Long Journey. “A Brief History of Dirac Delta Function” is published by Areeba Merriam in Cantor’s Paradise.

Mar 6, 2023

An Applied Mathematician Strengthens AI With Pure Math

Posted by in categories: mathematics, robotics/AI

Lek-Heng Lim uses tools from algebra, geometry and topology to answer questions in machine learning.

Mar 5, 2023

Mathematicians Discovered a New, Much Faster Way to Multiply Large Numbers

Posted by in categories: information science, mathematics

Two mathematicians from Australia and France have come up with a new, faster way to multiply extremely long numbers together.

In doing so, they have cracked an algorithmic puzzle that remained unsolved by some of the world’s best-known math minds, for almost fifty years.

Mar 5, 2023

Who’s afraid of organoid intelligence?

Posted by in categories: biological, mathematics, robotics/AI

For fans of bioethical nightmares, it’s been a real stonker of a month. First, we had the suggestion that we use comatose women’s wombs to house surrogate pregnancies. Now, it appears we might have a snazzy idea for what to do with their brains, too: to turn them into hyper-efficient biological computers.

Lately, you see, techies have been worrying about the natural, physical limits of conventional, silicon-based computing. Recent developments in ‘machine learning’, in particular, have required exponentially greater amounts of energy – and corporations are concerned that further technological progress will soon become environmentally unsustainable. Thankfully, in a paper published this week, a team of American scientists pointed out something rather nifty: that the walnut-shaped, spongy computer in your skull doesn’t appear to be bound by anything like the same limitations – and that it might, therefore, provide us with something of a solution.

The human brain, the paper explains, is slower than machines at performing basic tasks (like mathematical sums), but much, much better at processing complex problems that involve limited, or ambiguous, data. Humans learn, that is, how to make smart decisions quickly, even when we only have small fragments of information to go on, in a way that computers simply can’t. For anything more sophisticated than arithmetic, sponge beats silicon by a mile.

Mar 5, 2023

Computer Helps Prove Long-Sought Fluid Equation Singularity

Posted by in categories: computing, information science, mathematics, singularity

Year 2022 face_with_colon_three

For more than 250 years, mathematicians have wondered if the Euler equations might sometimes fail to describe a fluid’s flow. A new computer-assisted proof marks a major breakthrough in that quest.

Mar 3, 2023

Fashioning Beauty from Chaos

Posted by in category: mathematics

Jewelry designs inspired by mathematical objects called strange attractors bring chaos theory to a new audience.

Mar 3, 2023

Mathematicians have discovered the hidden patterns that exist within ‘chaotic’ crowds

Posted by in category: mathematics

A new study out of the UK says there are mathematics to crowds, and people move in predictable patterns like straight lanes and parabolas.

Mar 3, 2023

Prehistoric Sea Monster That Once Roamed Cleveland Waters May Have Been Shorter, Chunkier Than Previously Thought

Posted by in category: mathematics

A Case Western Reserve University doctoral student uses new mathematics to discover shrinking and chunky features of Devonian Period animals, including Cleveland’s prehistoric sea monster. Read the article to learn more.

Mar 2, 2023

Of Intelligent Design

Posted by in categories: information science, mathematics, robotics/AI, singularity

“A machine… of intelligent design.”

For the algorithm: UBI, singularity, Sydney bing ai, bing ai, microsoft, OpenAI, open ai, andrej karpathy, Ilya Sutskever, agi, artificial general intelligence, AI, ai, artificial intelligence, deep learning, how do neural networks work?, neural networks, machine learning, chatgpt, ChatGPT, GPT, bing, math, google, tech, technology, utopia.

Mar 2, 2023

Black Holes Are Even Weirder Than You Thought!

Posted by in categories: cosmology, information science, mathematics, singularity

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