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Hybrid automata are a natural framework for modeling and analyzing systems which exhibit a mixed discrete continuous behaviour. However, the standard operational semantics defined over such models implicitly assume perfect knowledge of the…

Systems and Control · Computer Science 2013-08-27 Alberto Casagrande , Tommaso Dreossi , Carla Piazza

We describe the combinatorics that arise in summing a double recursion formula for the enumeration of connected Feynman graphs in quantum field theory. In one index the problem is more tractable and yields concise formulas which are…

Combinatorics · Mathematics 2015-01-14 Christian Brouder , William J. Keith , Ângela Mestre

In this article we introduce a simple straightforward and powerful method involving symbolic manipulation, Picard iteration, and auxiliary variables for approximating solutions of partial differential boundary value problems. The method is…

General Mathematics · Mathematics 2016-11-22 Hamid Semiyari

In inference problems, we often have domain knowledge which allows us to define summary statistics that capture most of the information content in a dataset. In this paper, we present a hybrid approach, where such physics-based summaries…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-24 T. Lucas Makinen , Alan Heavens , Natalia Porqueres , Tom Charnock , Axel Lapel , Benjamin D. Wandelt

In practice symmetries of combinatorial structures are computed by transforming the structure into an annotated graph whose automorphisms correspond exactly to the desired symmetries. An automorphism solver is then employed to compute the…

Data Structures and Algorithms · Computer Science 2021-08-11 Markus Anders , Pascal Schweitzer

Fine-grained spectral properties of quantum Hamiltonians, including both eigenvalues and their multiplicities, provide useful information for characterizing many-body quantum systems as well as for understanding phenomena such as…

Quantum Physics · Physics 2026-05-01 Zhiyan Ding , Lin Lin , Yilun Yang , Ruizhe Zhang

In this article, we provide a new algorithm for solving constraint satisfaction problems over templates with few subpowers, by reducing the problem to the combination of solvability of a polynomial number of systems of linear equations over…

Logic · Mathematics 2017-11-07 Dejan Delic , Amir El-Aooiti

Higher transcendental function occur frequently in the calculation of Feynman integrals in quantum field theory. Their expansion in a small parameter is a non-trivial task. We report on a computer program which allows the systematic…

Mathematical Physics · Physics 2008-11-26 Stefan Weinzierl

In this paper, we present the foundations of Summability Calculus, which places various established results in number theory, infinitesimal calculus, summability theory, asymptotic analysis, information theory, and the calculus of finite…

Classical Analysis and ODEs · Mathematics 2012-09-27 Ibrahim M. Alabdulmohsin

In this paper we discuss how to generate inductive invariants for safety verification of hybrid systems. A hybrid symbolic-numeric method is presented to compute inequality inductive invariants of the given systems. A numerical invariant of…

Software Engineering · Computer Science 2015-03-19 Wang Lin , Min Wu , Zhengfeng Yang , Zhenbing Zeng

A method is developed which speeds up averaging in quantum simulations where minus signs cause difficulties. A Langevin equation method in conjunction with a replication algorithm is used enabling one to average over a continuously varying…

comp-gas · Physics 2009-10-22 J. M. Deutsch

Previous math word problem solvers following the encoder-decoder paradigm fail to explicitly incorporate essential math symbolic constraints, leading to unexplainable and unreasonable predictions. Herein, we propose Neural-Symbolic Solver…

Computation and Language · Computer Science 2021-07-06 Jinghui Qin , Xiaodan Liang , Yining Hong , Jianheng Tang , Liang Lin

We develop a systematic and fully explicit approach to the evaluation of binomial sums involving reciprocals of binomial coefficients based on Beta integral techniques. Starting from a simple integral representation, we provide a derivation…

Combinatorics · Mathematics 2026-05-05 Jean-Christophe Pain

To solve hard problems, AI relies on a variety of disciplines such as logic, probabilistic reasoning, machine learning and mathematical programming. Although it is widely accepted that solving real-world problems requires an integration…

Artificial Intelligence · Computer Science 2020-01-14 Vaishak Belle , Luc De Raedt

We show that the computational effort for the numerical solution of fermionic quantum systems, occurring e.g., in quantum chemistry, solid state physics, field theory in principle grows with less than the square of the particle number for…

Condensed Matter · Physics 2007-05-23 Peter Borrmann , Eberhard R. Hilf

We use Sidon sets to present an elementary method to study some combinatorial problems in finite fields, such as sum product estimates, solubility of some equations and distribution of sequences in small intervals. We obtain classic and…

Number Theory · Mathematics 2015-03-13 Javier Cilleruelo

We explain how the representation theory associated with supersymmetry in diverse dimensions is encoded within the representation theory of supersymmetry in one time-like dimension. This is enabled by algebraic criteria, derived, exhibited,…

High Energy Physics - Theory · Physics 2009-07-22 M. G. Faux , K. M. Iga , G. D. Landweber

We present our approach to the PerAnsSumm Shared Task, which involves perspective span identification and perspective-aware summarization in community question-answering (CQA) threads. For span identification, we adopt ensemble learning…

Computation and Language · Computer Science 2025-11-26 Kristin Qi , Youxiang Zhu , Xiaohui Liang

We describe a simple analytical method for effective summation of series, including divergent series. The method is based on self-similar approximation theory resulting in self-similar root approximants. The method is shown to be general…

Mathematical Physics · Physics 2015-06-23 S. Gluzman , V. I. Yukalov

With more and more advanced data analysis techniques emerging, people will expect these techniques to be applied in more complex tasks and solve problems in our daily lives. Text Summarization is one of famous applications in Natural…

Computation and Language · Computer Science 2024-02-13 Chen Jia-Chen , Guillem Senabre , Allane Caron
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