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The paper entitled ``Against Many-Worlds Interpretations'' by A. Kent, which has recently been submitted to the e-Print archive (gr-qc/9703089) contained some misconceptions. The claims on Everett's many-worlds interpretation are quoted and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Toshifumi Sakaguchi

We investigate the existence and multiplicity of solutions for higher order discrete boundary value problems via critical point theory.

Classical Analysis and ODEs · Mathematics 2011-11-23 Mikołaj Pepłoński

We refine the notion of concurrence in this paper by a redefinition of the concept. The new definition is simpler, computationally straight forward, and allows the concurrence to be directly read off from the state. It has all the positive…

Quantum Physics · Physics 2007-05-23 D. D. Bhaktavatsala Rao , V. Ravishankar

There are many potential benefits to news readers accessing diverse sources. Modern news aggregators do the hard work of organizing the news, offering readers a plethora of source options, but choosing which source to read remains…

Computation and Language · Computer Science 2022-11-10 Philippe Laban , Chien-Sheng Wu , Lidiya Murakhovs'ka , Xiang 'Anthony' Chen , Caiming Xiong

The overall problem addressed in this paper is the long-standing problem of program correctness, and in particular programs that describe systems of parallel executing processes. We propose a new method for proving correctness of parallel…

Programming Languages · Computer Science 2023-02-10 Frank S. de Boer , Einar Broch Johnsen , Violet Ka I Pun , Silvia Lizeth Tapia Tarifa

This paper is a concise introduction to virtual knot theory, coupled with a list of research problems in this field.

Geometric Topology · Mathematics 2014-09-10 Roger Fenn , Denis P. Ilyutko , Louis H. Kauffman , Vassily O. Manturov

In this paper we provide an application to the Neumann problem of a recent three critical points theorem.

Analysis of PDEs · Mathematics 2009-02-04 Biagio Ricceri

Reasoning is central to human intelligence, enabling structured problem-solving across diverse tasks. Recent advances in large language models (LLMs) have greatly enhanced their reasoning abilities in arithmetic, commonsense, and symbolic…

This paper proposes a way to effectively compare the potential of processes to cause conflict. In discrete event systems theory, two concurrent systems are said to be in conflict if they can get trapped in a situation where they are both…

Formal Languages and Automata Theory · Computer Science 2011-08-02 Simon Ware , Robi Malik

Here we provide the contributions' abstracts published in a volume we edited as a special issue in International Journal of Modern Physics B. The volume deals with the recent progress in quantifying quantum correlations beyond the generic…

Quantum Physics · Physics 2012-12-05 Luigi Amico , Sougato Bose , Vladimir E. Korepin , Vlatko Vedral

In this survey we discuss the notion of combinatorial interpretation in the context of Algebraic Combinatorics and related areas. We approach the subject from the Computational Complexity perspective. We review many examples, state a…

Combinatorics · Mathematics 2022-09-14 Igor Pak

The paper has a form of a survey and consists of three parts. It is focused on the relationship between the many-sorted theory, which leads to logical geometry and one-sorted theory, which is based on the important model-theoretic concepts.…

Logic · Mathematics 2014-06-13 Boris Plotkin , Eugene Plotkin

This chapter aims to provide next-level understanding of the problems of the world and the solutions available to those problems, which lie very well within the domain of neural computing, and at the same time are intelligent in their…

Neural and Evolutionary Computing · Computer Science 2021-07-07 Ayushe Gangal , Peeyush Kumar , Sunita Kumari , Aditya Kumar

While significant progress has been made in the image captioning task, video description is still in its infancy due to the complex nature of video data. Generating multi-sentence descriptions for long videos is even more challenging. Among…

Computer Vision and Pattern Recognition · Computer Science 2019-04-17 Jae Sung Park , Marcus Rohrbach , Trevor Darrell , Anna Rohrbach

Multivariate time series classification is a task with increasing importance due to the proliferation of new problems in various fields (economy, health, energy, transport, crops, etc.) where a large number of information sources are…

Machine Learning · Computer Science 2020-09-09 Francisco J. Baldán , José M. Benítez

A simple theory of the covariant derivatives, deformed derivatives and relative covariant derivatives of multivector and multiform fields is presented using algebraic and analytical tools developed in previous papers.

Mathematical Physics · Physics 2007-05-23 V. V. Fernandez , A. M. Moya , E. Notte-Cuello , W. A. Rodrigues

We present a baseline approach for cross-modal knowledge fusion. Different basic fusion methods are evaluated on existing embedding approaches to show the potential of joining knowledge about certain concepts across modalities in a fused…

Artificial Intelligence · Computer Science 2017-04-21 Steffen Thoma , Achim Rettinger , Fabian Both

This paper presents a theory of error in cross-validation testing of algorithms for predicting real-valued attributes. The theory justifies the claim that predicting real-valued attributes requires balancing the conflicting demands of…

Machine Learning · Computer Science 2007-05-23 Peter D. Turney

New cases of the multiplicity conjecture are considered.

Commutative Algebra · Mathematics 2007-05-23 Juergen Herzog , Xinxian Zheng

In sensing applications where multiple sensors observe the same scene, fusing sensor outputs can provide improved results. However, if some of the sensors are providing lower quality outputs, the fused results can be degraded. In this work,…

Signal Processing · Electrical Eng. & Systems 2018-03-14 Pan Wei , John E. Ball , Derek T. Anderson