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Archive for the ‘mathematics’ category: Page 28

Feb 17, 2024

Donor/recipient enhancement of memory in rat hippocampus

Posted by in categories: mathematics, neuroscience

The critical role of the mammalian hippocampus in the formation, translation and retrieval of memory has been documented over many decades. There are many theories of how the hippocampus operates to encode events and a precise mechanism was recently identified in rats performing a short-term memory task which demonstrated that successful information encoding was promoted via specific patterns of activity generated within ensembles of hippocampal neurons. In the study presented here, these “representations” were extracted via a customized non-linear multi-input multi-output (MIMO) mathematical model which allowed prediction of successful performance on specific trials within the testing session. A unique feature of this characterization was demonstrated when successful information encoding patterns were derived online from well-trained “donor” animals during difficult long-delay trials and delivered via online electrical stimulation to synchronously tested naïve “recipient” animals never before exposed to the delay feature of the task. By transferring such model-derived trained (donor) animal hippocampal firing patterns via stimulation to coupled naïve recipient animals, their task performance was facilitated in a direct “donor–recipient” manner. This provides the basis for utilizing extracted appropriate neural information from one brain to induce, recover, or enhance memory related processing in the brain of another subject.

To understand the neural basis of memory, several features of the context in which the memories occur and are utilized, and the functional aspects of the brain areas involved, need to be identified and controlled (Hampson et al., 2008; Eichenbaum and Fortin, 2009). In prior studies we achieved both of these important contingencies as well as overcoming possible alternative interpretations of the relationship between recorded hippocampal ensemble activity and the behavioral task in which short-term memory formation is necessary (Deadwyler and Hampson, 2006; Deadwyler et al., 2007), and developing an effective mathematical/operational model for online prediction of CA1 hippocampal cell activity from simultaneously recorded input firing patterns from synaptically connected CA3 neurons (Song et al., 2009; Berger et al., 2011; Hampson et al., 2011).

Feb 17, 2024

Secret Mathematical Patterns Revealed in Bach’s Music

Posted by in categories: mathematics, media & arts, physics

Physicists found that the music of Johann Sebastian Bach contains mathematical patterns that help convey information.

By Elise Cutts

Feb 17, 2024

At the Speed of Light: Unveiling the Chip That’s Reimagining AI Processing

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

An innovative new chip uses light for fast, efficient AI computations, promising a leap in processing speeds and privacy.

Penn Engineers have developed a new chip that uses light waves, rather than electricity, to perform the complex math essential to training AI. The chip has the potential to radically accelerate the processing speed of computers while also reducing their energy consumption.

The silicon-photonic (SiPh) chip’s design is the first to bring together Benjamin Franklin Medal Laureate and H. Nedwill Ramsey Professor Nader Engheta’s pioneering research in manipulating materials at the nanoscale to perform mathematical computations using light — the fastest possible means of communication — with the SiPh platform, which uses silicon, the cheap, abundant element used to mass-produce computer chips.

Feb 16, 2024

Brain augmentation and neuroscience technologies: current applications, challenges, ethics and future prospects

Posted by in categories: biotech/medical, chemistry, employment, ethics, health, mathematics, neuroscience, robotics/AI

This isn’t rocket science it’s neuroscience.


Ever since the dawn of antiquity, people have strived to improve their cognitive abilities. From the advent of the wheel to the development of artificial intelligence, technology has had a profound leverage on civilization. Cognitive enhancement or augmentation of brain functions has become a trending topic both in academic and public debates in improving physical and mental abilities. The last years have seen a plethora of suggestions for boosting cognitive functions and biochemical, physical, and behavioral strategies are being explored in the field of cognitive enhancement. Despite expansion of behavioral and biochemical approaches, various physical strategies are known to boost mental abilities in diseased and healthy individuals. Clinical applications of neuroscience technologies offer alternatives to pharmaceutical approaches and devices for diseases that have been fatal, so far. Importantly, the distinctive aspect of these technologies, which shapes their existing and anticipated participation in brain augmentations, is used to compare and contrast them. As a preview of the next two decades of progress in brain augmentation, this article presents a plausible estimation of the many neuroscience technologies, their virtues, demerits, and applications. The review also focuses on the ethical implications and challenges linked to modern neuroscientific technology. There are times when it looks as if ethics discussions are more concerned with the hypothetical than with the factual. We conclude by providing recommendations for potential future studies and development areas, taking into account future advancements in neuroscience innovation for brain enhancement, analyzing historical patterns, considering neuroethics and looking at other related forecasts.

Keywords: brain 2025, brain machine interface, deep brain stimulation, ethics, non-invasive and invasive brain stimulation.

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Feb 16, 2024

New chip opens door to AI computing at light speed

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

University of Pennsylvania engineers have developed a new chip that uses light waves, rather than electricity, to perform the complex math essential to training AI. The chip has the potential to radically accelerate the processing speed of computers while also reducing their energy consumption.

The silicon-photonic (SiPh) chip’s design is the first to bring together Benjamin Franklin Medal Laureate and H. Nedwill Ramsey Professor Nader Engheta’s pioneering research in manipulating materials at the nanoscale to perform mathematical computations using light—the fastest possible means of communication—with the SiPh platform, which uses silicon, the cheap, used to mass-produce computer chips.

The interaction of with matter represents one possible avenue for developing computers that supersede the limitations of today’s chips, which are essentially based on the same principles as chips from the earliest days of the computing revolution in the 1960s.

Feb 14, 2024

Google DeepMind’s New AI Matches Gold Medal Performance in Math Olympics

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

After cracking an unsolvable mathematics problem last year, AI is back to tackle geometry.

Developed by Google DeepMind, a new algorithm, AlphaGeometry, can crush problems from past International Mathematical Olympiads—a top-level competition for high schoolers—and matches the performance of previous gold medalists.

When challenged with 30 difficult geometry problems, the AI successfully solved 25 within the standard allotted time, beating previous state-of-the-art algorithms by 15 answers.

Feb 13, 2024

Time and Quantum Mechanics SOLVED? | Lee Smolin

Posted by in categories: biological, mathematics, quantum physics, space

Lee Smolin joins TOE to discuss his work in theoretical physics, the dynamic nature of the laws of physics and the concept of time.

TIMESTAMPS:
00:00:00 — Intro.
00:04:13 — Doubly Special Relativity and Violation of Lorentz Invariance.
00:09:15 — The Concept of Thick Time.
00:19:11 — Duality Between String Theory and Loop Quantum Gravity.
00:23:50 — Condensed Matter Theory.
00:28:35 — Approximating by a Continuum and Discrete Sets.
00:34:11 — Misapprehensions about Loop Quantum Gravity.
00:38:43 — Defining Complexity and the View of the Universe by One Observer.
00:43:52 — Causal Energetic: The Relationship Between Varieties and Kinetic Energy.
00:48:38 — Varying Parameters in the Universe.
00:53:35 — The Bomes Interpretation of Quantum Mechanics.
00:58:30 — Causality and Relativity.
01:03:15 — Different Styles in Mathematics and Chess.
01:07:55 — The Fundamental Questions in Biology.
01:12:49 — Marrying Outside Your Field.
01:18:04 — Discussion on Authors and Novels.
01:23:35 — Conversations with Fire Robin.
01:28:39 — Being Sincere and Ambitious.
01:33:39 — A Visit from BJ
01:38:34 — Outro.

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Feb 12, 2024

Revolutionizing Physics With a Game-Changing Topological Approach

Posted by in categories: mathematics, physics

Innovative research introduces a practical, model-free method for exploring topological properties in materials, enhancing the scope and efficiency of topological studies.

The branch of mathematics known as topology has become a cornerstone of modern physics thanks to the remarkable – and above all reliable – properties it can impart to a material or system. Unfortunately, identifying topological systems, or even designing new ones, is generally a tedious process that requires exactly matching the physical system to a mathematical model.

Researchers at the University of Amsterdam and the École Normale Supérieure of Lyon have demonstrated a model-free method for identifying topology, enabling the discovery of new topological materials using a purely experimental approach.

Feb 12, 2024

Paper page — InternLM-Math: Open Math Large Language Models Toward Verifiable Reasoning

Posted by in category: mathematics

Join the discussion on this paper page.

Feb 10, 2024

The Extraordinary Theorems of John Nash — with Cédric Villani

Posted by in category: mathematics

Fields medalist Cédric Villani explains some of John Nash’s most amazing theorems.


Fields medal winner Cédric Villani takes us through the very special world of mathematical creation of John Nash, who founded several new chapters of game theory and geometric analysis in just a few revolutionary contributions that seemed to come from nowhere.
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