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In his paper, "On a Partition Function of Richard Stanley," George Andrews proves a certain partition identity analytically and asks for a combinatorial proof. This paper provides the requested combinatorial proof.

Combinatorics · Mathematics 2018-11-29 Andrew V. Sills

Pneumonia has been one of the fatal diseases and has the potential to result in severe consequences within a short period of time, due to the flow of fluid in lungs, which leads to drowning. If not acted upon by drugs at the right time,…

Computer Vision and Pattern Recognition · Computer Science 2019-04-02 Can Jozef Saul , Deniz Yagmur Urey , Can Doruk Taktakoglu

In this note we give some remarks and improvements on a recent paper of us [3] about an optimization problem for the $p-$Laplace operator that were motivated by some discussion the authors had with Prof. Cianchi.

Analysis of PDEs · Mathematics 2009-01-15 Leandro Del Pezzo , Julián Fernández Bonder

This is an extended version of notes prepared for the talk at the conference "Rajchman-Zygmund-Marcinkiewicz 2000" based on recent works of the authors.

Classical Analysis and ODEs · Mathematics 2007-05-23 V. Matsaev , I. Ostrovskii , M. Sodin

A qualitative (and selective) discussion of current activities and problems in the field is given.

High Energy Physics - Phenomenology · Physics 2009-10-30 M. Beneke

This work proposes to put up a tool for diagnosing multi faults based on model using techniques of detection and localization inspired from the community of artificial intelligence and that of automatic. The diagnostic procedure to be…

Systems and Control · Computer Science 2012-03-27 Imtiez Fliss , Moncef Tagina

It has become a common pattern in our field: One group introduces a language task, exemplified by a dataset, which they argue is challenging enough to serve as a benchmark. They also provide a baseline model for it, which then soon is…

Computation and Language · Computer Science 2020-07-10 David Schlangen

Given a malfunctioning system, sequential diagnosis aims at identifying the root cause of the failure in terms of abnormally behaving system components. As initial system observations usually do not suffice to deterministically pin down…

Artificial Intelligence · Computer Science 2022-08-08 Patrick Rodler , Wolfgang Schmid

Many complex discourse-level tasks can aid domain experts in their work but require costly expert annotations for data creation. To speed up and ease annotations, we investigate the viability of automatically generated annotation…

This book contains a large number of exercises related to different stochastic disciplines. Difficulty of the problems varies from the basic level in the first chapter up to the analysis of articles in Probability, Statistics and Computer…

Causality and causal inference have emerged as core research areas at the interface of modern statistics and domains including biomedical sciences, social sciences, computer science, and beyond. The field's inherently interdisciplinary…

Methodology · Statistics 2025-08-26 Carlos Cinelli , Avi Feller , Guido Imbens , Edward Kennedy , Sara Magliacane , Jose Zubizarreta

In this paper, we will continue the investigation of Waring's problem, and give further improvements.

Combinatorics · Mathematics 2025-01-15 An-Ping Li

Neural networks (NNs) have been successfully applied to solve a variety of application problems involving classification and function approximation. Although backpropagation NNs generally predict better than decision trees do for pattern…

Neural and Evolutionary Computing · Computer Science 2010-09-28 S. M. Kamruzzaman

We put a new conjecture on primes from the point of view of its binary expansions and make a step towards justification.

Number Theory · Mathematics 2007-06-11 Vladimir Shevelev

Human disease diagnosis is a complicated process and requires high level of expertise. Any attempt of developing a web-based expert system dealing with human disease diagnosis has to overcome various difficulties. This paper describes a…

Artificial Intelligence · Computer Science 2010-06-24 Mir Anamul Hasan , Khaja Md. Sher-E-Alam , Ahsan Raja Chowdhury

The problem of advancing coordinatization of mathematics is considered. The need to develop a theory for measuring value and complexity of mathematical implications and proofs is discussed including motivations, benefits and implementation…

History and Overview · Mathematics 2018-03-07 Peteris Daugulis

This is a structured compilation of some of my favourite open problems.

Algebraic Geometry · Mathematics 2022-12-13 Jean-Louis Colliot-Thélène

Missing data are often dealt with multiple imputation. A crucial part of the multiple imputation process is selecting sensible models to generate plausible values for incomplete data. A method based on posterior predictive checking is…

Computation · Statistics 2026-05-14 Mingyang Cai , Stef van Buuren , Gerko Vink

This is a survey of old and new problems and results in additive number theory.

Number Theory · Mathematics 2025-10-28 Melvyn B. Nathanson

zbMATH Open has started a new feature -- relevant preprints posted at arXiv will also be displayed in the database. In this article we introduce this new feature and the underlying editorial policy. We also describe some of the technical…

Digital Libraries · Computer Science 2024-01-17 Isabel Beckenbach , Klaus Hulek , Olaf Teschke