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We prove a general divisibility theorem that implies, e.g., that, in any group, the number of generating pairs (as well as triples, etc.) is a multiple of the order of the commutator subgroup. Another corollary says that, in any associative…

Group Theory · Mathematics 2017-05-02 Anton A. Klyachko , Anna A. Mkrtchyan

Magnetars are the most magnetic objects in the Universe, serving as unique laboratories to test physics under extreme magnetic conditions that cannot be replicated on Earth. They were discovered in the late 1970s through their powerful…

High Energy Astrophysical Phenomena · Physics 2025-03-18 Nanda Rea , Davide De Grandis

To shed light on the deuteron radius puzzle we analyze the theoretical uncertainties of the nuclear structure corrections to the Lamb shift in muonic deuterium. We find that the discrepancy between the calculated two-photon exchange…

Nuclear Theory · Physics 2018-06-12 Oscar Javier Hernandez , Andreas Ekström , Nir Nevo Dinur , Chen Ji , Sonia Bacca , Nir Barnea

As machine learning systems become ubiquitous, there has been a surge of interest in interpretable machine learning: systems that provide explanation for their outputs. These explanations are often used to qualitatively assess other…

Machine Learning · Statistics 2017-03-06 Finale Doshi-Velez , Been Kim

Einstein was deeply puzzled by the success of natural science, and thought that we would never be able to explain it. He came to this conclusion on the ground that we cannot extract the basic laws of physics from experience using induction…

History and Philosophy of Physics · Physics 2016-10-04 Cornelis de Waal

We describe how cosmology has converged towards a beautiful model of the Universe: the Big Bang Universe. We praise this model, but show there is a dark side to it. This dark side is usually called ``the cosmological problems'': a set of…

Astrophysics · Physics 2015-06-24 Joao Magueijo , Kim Baskerville

It is often difficult to hand-specify what the correct reward function is for a task, so researchers have instead aimed to learn reward functions from human behavior or feedback. The types of behavior interpreted as evidence of the reward…

Machine Learning · Computer Science 2020-12-14 Hong Jun Jeon , Smitha Milli , Anca D. Dragan

We argue that, although Wittgenstein's reservations on Goedel's interpretation of his own formal reasoning are, indeed, of historical importance, the uneasiness that academicians and philosophers continue to sense, and express, over…

General Mathematics · Mathematics 2007-05-23 Bhupinder Singh Anand

The phenomenon of the Dark matter baffles the researchers: the underlying dark particle has escaped so far the detection and its astrophysical role appears complex and entangled with that of the standard luminous particles. We propose that,…

High Energy Physics - Phenomenology · Physics 2023-08-07 Fabrizio Nesti , Paolo Salucci , Nicola Turini

The past decades witnessed the golden era of hadron physics. Many excited open heavy flavor mesons and baryons have been observed since 2017. We shall provide an updated review of the recent experimental and theoretical progresses in this…

High Energy Physics - Phenomenology · Physics 2022-12-23 Hua-Xing Chen , Wei Chen , Xiang Liu , Yan-Rui Liu , Shi-Lin Zhu

We revive an old lateral-thinking puzzle by Michael Rabin, involving poisons with strange properties. We show that the puzzle admits several unintended solutions that are just as interesting as the intended solution. Analyzing these…

Combinatorics · Mathematics 2024-04-09 Timothy Y. Chow

Abductive explanations (AXp's) are widely used for understanding decisions of classifiers. Existing definitions are suitable when features are independent. However, we show that ignoring constraints when they exist between features may lead…

Artificial Intelligence · Computer Science 2024-09-19 Martin Cooper , Leila Amgoud

Information is everywhere in nature which is very uncertain and unpredictable. But information, in itself, is a very ambiguous term. In this cursory write-up, we attempt to understand the formal meaning of information by quantifying…

Classical Physics · Physics 2024-09-20 Sagar Chakraborty

We review in this talk some aspects of the exciting field of hyperon polarization phenomena in high energy reactions, over the last twenty years or so. On the experimental side, a large amount of significant polarization data for hyperon…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Soffer

Recent years have seen a boom in interest in machine learning systems that can provide a human-understandable rationale for their predictions or decisions. However, exactly what kinds of explanation are truly human-interpretable remains…

Machine Learning · Computer Science 2019-08-30 Isaac Lage , Emily Chen , Jeffrey He , Menaka Narayanan , Been Kim , Sam Gershman , Finale Doshi-Velez

Astronomers occasionally detect an object having unexpected shape, unexplainable photometry, or unprecedented spectra that are inconsistent with our contemporary knowledge of the universe. Upon careful assessment, many of these anomalies…

Popular Physics · Physics 2023-10-24 Beatriz Villarroel , Geoffrey W. Marcy

The Frankl conjecture (called also union-closed sets conjecture) is one of the famous unsolved conjectures in combinatorics of finite sets. In this short note, we introduce and to some extent justify some variants of the Frankl conjecture.

Combinatorics · Mathematics 2019-07-24 Maysam Maysami Sadr

The description of excitations in hot and dense (hadronic) matter is discussed with emphasis on the use of correlation functions as a common framework for comparing different model (and QCD lattice) calculations with each other. Typical…

Nuclear Theory · Physics 2009-11-07 R. Rapp

Among the many different classes of stellar objects, neutron stars provide a unique environment where we can test (at the same time) our understanding of matter with extreme density, temperature, and magnetic field. In particular, the…

High Energy Astrophysical Phenomena · Physics 2015-06-12 Nanda Rea