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Consider the following one player game. A deck containing $m$ copies of $n$ different card types is shuffled uniformly at random. Each round the player tries to guess the next card in the deck, and then the card is revealed and discarded.…

Probability · Mathematics 2021-07-20 Sam Spiro

The Sprague-Grundy (SG) theory reduces the sum of impartial games to the classical game of $NIM$. We generalize the concept of sum and introduce $\cH$-combinations of impartial games for any hypergraph $\cH$. In particular, we introduce the…

Combinatorics · Mathematics 2017-01-12 Endre Boros , Vladimir Gurvich , Nhan Bao Ho , Kazuhisa Makino , Peter Mursic

We investigate the search prospects for new scalars beyond the Standard Model (SM) at the Large Hadron Collider (LHC). In these studies two real scalars $S$ and $\chi$ have been introduced in a two Higgs doublet model (2HDM), where $S$ is a…

Using the notion of visibility representations, our paper establishes a new property of instances of the Nondeterministic Constraint Logic (NCL) problem (a PSPACE-complete problem that is very convenient to prove the PSPACE-hardness of…

Computational Complexity · Computer Science 2023-04-27 Michael C. Chavrimootoo

Investigations of causality in operational systems aim at providing human-understandable explanations of why a system behaves as it does. There is, in particular, a demand to explain what went wrong on a given counterexample execution that…

Logic in Computer Science · Computer Science 2023-10-03 Julie Parreaux , Jakob Piribauer , Christel Baier

Investigations of causality in operational systems aim at providing human-understandable explanations of why a system behaves as it does. There is, in particular, a demand to explain what went wrong on a given counterexample execution that…

Logic in Computer Science · Computer Science 2023-08-23 Julie Parreaux , Jakob Piribauer , Christel Baier

This brief paper describes the single-player card game called "Perpetual Motion" and reports on a computational analysis of the game's outcome. The analysis follows a Monte Carlo methodology based on a sample of 10,000 randomly generated…

Computer Science and Game Theory · Computer Science 2009-07-14 Matthew C. Clarke

We consider the physics reach at the high luminosity LHC (HL-LHC) using the timing capability of a minimum ionizing particle (MIP) timing layer and the electromagnetic calorimeter in the CMS experiment for a simplified right-handed neutrino…

High Energy Physics - Phenomenology · Physics 2019-09-04 John D. Mason

P. J. Kelly conjectured in 1968 that every diregular tournament on (2n+1) points can be decomposed in directed Hamilton circuits [1]. We define so called leading diregular tournament on (2n+1) points and show that it can be decomposed in…

General Mathematics · Mathematics 2008-06-28 Dhananjay P. Mehendale

Multi-label classification (MLC) remains vulnerable to label imbalance, spurious correlations, and distribution shifts, challenges that are particularly detrimental to rare label prediction. To address these limitations, we introduce the…

Machine Learning · Computer Science 2025-12-02 Yijia Fan , Jusheng Zhang , Kaitong Cai , Jing Yang , Keze Wang

The LHC will probe the nature of the vacuum that determines the properties of particles and the forces between them. Of particular importance is the fact that our current theories allow the Universe to be trapped in a metastable vacuum,…

High Energy Physics - Phenomenology · Physics 2008-07-18 Steven A. Abel , John Ellis , Joerg Jaeckel , Valentin V. Khoze

Discovery of high-$T_c$ superconductivity (SC) in the bilayer nickelate series La$_3$Ni$_2$O$_7$ have attracted substantial interest, providing a new platform for exploring unconventional SC. Certain experimental evidence has pointed to a…

Superconductivity · Physics 2026-04-23 Zhiming Pan , Chen Lu , Fan Yang , Congjun Wu

The author has long enjoyed using the CSP refinement checker FDR to solve puzzles, as witnessed by examples in \cite{tpc,ucs}. Recent experiments have shown that a number of games of patience (card games for one) are now well within bounds.…

Software Engineering · Computer Science 2016-11-28 A. W. Roscoe

Using determinant Quantum Monte Carlo, we investigate the interplay between doping, inter-layer tunneling and onsite Hund's coupling in stabilizing superconductivity (SC) in a two-orbital model for the bilayer Nickelate…

Strongly Correlated Electrons · Physics 2025-12-11 Xu Zhang

The lightest supersymmetric particle (LSP) is a natural candidate for the cold dark matter of the universe. In this Letter we discuss how to test the mechanism responsible for the LSP stability at the LHC. We note that if R-parity is…

High Energy Physics - Phenomenology · Physics 2015-03-19 Pavel Fileviez Perez , Sogee Spinner , Maike K. Trenkel

We show that two-dimensional billiard systems are Turing complete, in the sense that the halting of any Turing machine with a given input is equivalent to a certain bounded trajectory in this system entering a specified open set. Billiards…

Dynamical Systems · Mathematics 2026-04-24 Eva Miranda , Isaac Ramos

Human computation games (HCGs) can provide novel solutions to intractable computational problems, help enable scientific breakthroughs, and provide datasets for artificial intelligence. However, our knowledge about how to design and deploy…

Human-Computer Interaction · Computer Science 2017-03-03 Kristin Siu , Matthew Guzdial , Mark O. Riedl

In 1981 Jackson showed that the diregular bipartite tournament (a complete bipartite graph whose edges are oriented so that every vertex has the same in- and outdegree) contains a Hamilton cycle, and conjectured that in fact the edge set of…

Combinatorics · Mathematics 2022-09-20 Anita Liebenau , Yanitsa Pehova

Experiments with gold-gold collisions at RHIC have revealed (i) stronger suppression of charmonium production at forward rapidity than at midrapidity and (ii) the similarity between the suppression degrees at RHIC and SPS energies. To…

High Energy Physics - Phenomenology · Physics 2010-01-15 L. Bravina , K. Tywoniuk , A. Capella , E. G. Ferreiro , A. B. Kaidalov , E. Zabrodin

Within the framework of nonrelativistic-QCD (NRQCD) factorization, we perform a comprehensive investigation of the color singlet (CS) contribution to prompt $J/\psi$ pair production at the CERN Large Hadron Collider at next-to-leading order…

High Energy Physics - Phenomenology · Physics 2025-05-08 Zhi-Guo He , Xiao-Bo Jin , Bernd A. Kniehl