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The socioeconomic impact of pollution naturally comes with uncertainty due to, e.g., current new technological developments in emissions' abatement or demographic changes. On top of that, the trend of the future costs of the environmental…

Optimization and Control · Mathematics 2024-02-28 Matteo Basei , Giorgio Ferrari , Neofytos Rodosthenous

Cooperation is central to the success of human societies as it is crucial for overcoming some of the most pressing social challenges of our time. Yet how human cooperation is achieved and may persist is still a main puzzle in the social and…

Physics and Society · Physics 2018-09-13 John Realpe-Gómez , Giulia Andrighetto , Gustavo Nardin , Javier Antonio Montoya

In this contribution I give a brief introduction to the essential concepts and mechanisms of decoherence by the environment. The emphasis will be not so much on technical details but rather on conceptual issues and the impact on the…

Quantum Physics · Physics 2007-05-23 Erich Joos

In the Taiwanese judicial system, Cause of Actions (COAs) are essential for identifying relevant legal judgments. However, the lack of standardized COA labeling creates challenges in filtering cases using basic methods. This research…

Computation and Language · Computer Science 2024-10-14 Ho-Chien Huang , Chao-Lin Liu

Environmental contours are tools frequently used in the early design of marine structures. They provide a description of critical design conditions and serve as a means for simplifying expensive long-term response calculations. Here, we…

Probability · Mathematics 2023-09-04 Åsmund Hausken Sande

Traditional models of climate change use complex systems of coupled equations to simulate physical processes across the Earth system. These simulations are highly computationally expensive, limiting our predictions of climate change and…

In this article we use the Desargues' theorem and its reciprocal to solve two problems.

General Mathematics · Mathematics 2011-01-13 Florentin Smarandache , Ion Patrascu

With increased access to data and the advent of computers, the use of statistical tools and numerical simulations is becoming commonplace for ecologists. These approaches help improve our understanding of ecological phenomena and their…

Other Quantitative Biology · Quantitative Biology 2025-04-08 Maxime Clenet , Maxime Dion , F. Guillaume Blanchet

Robotics has dramatically increased our ability to gather data about our environments, creating an opportunity for the robotics and algorithms communities to collaborate on novel solutions to environmental monitoring problems. To understand…

Robotics · Computer Science 2023-11-07 Yoonchang Sung , Zhiang Chen , Jnaneshwar Das , Pratap Tokekar

The quasi-variational inequalities play a significant role in analyzing a wide range of real-world problems. However, these problems are more complicated to solve than variational inequalities as the constraint set is based on the current…

Optimization and Control · Mathematics 2024-07-29 Asrifa Sultana , Shivani Valecha

Causal discovery aims to automatically uncover causal relationships from data, a capability with significant potential across many scientific disciplines. However, its real-world applications remain limited. Current methods often rely on…

The use of equilibrium models in economics springs from the desire for parsimonious models of economic phenomena that take human reasoning into account. This approach has been the cornerstone of modern economic theory. We explain why this…

General Finance · Quantitative Finance 2008-12-02 J. Doyne Farmer , John Geanakoplos

In this paper an interesting application of mathematics in economics is presented: the formulation of the theory of consumer basic problem, grounded on the concept of preferences relation and operationalized with optimization tools.

Optimization and Control · Mathematics 2021-11-10 Manuel Alberto M. Ferreira , José António Filipe

The modeling of complex systems such as ecological or socio-economic systems can be very challenging. Although various modeling approaches exist, they are generally not compatible and mutually consistent, and empirical data often do not…

Physics and Society · Physics 2010-07-19 Dirk Helbing

Natural computing offers new opportunities to understand, model and analyze the complexity of the physical and human-created environment. This paper examines the application of natural computing in environmental informatics, by…

Neural and Evolutionary Computing · Computer Science 2018-08-02 Andreas Kamilaris

We research the natural causality of the Universe. We find that the equation of causality provides very good results on physics. That is our first endeavour and success in describing a quantitative expression of the law of causality. Hence,…

General Physics · Physics 2007-05-23 Do Minh Chi

The master equation plays an important role in many scientific fields including physics, chemistry, systems biology, physical finance, and sociodynamics. We consider the master equation with periodic transition rates. This may represent an…

Quantitative Methods · Quantitative Biology 2017-10-23 Michael Margaliot , Lars Grüne , Thomas Kriecherbauer

The concept of causality has a controversial history. The question of whether it is possible to represent and address causal problems with probability theory, or if fundamentally new mathematics such as the do calculus is required has been…

Machine Learning · Statistics 2021-12-13 Finnian Lattimore , David Rohde

After making some general remarks, I consider two examples that illustrate the use of Bayesian Probability Theory. The first is a simple one, the physicist's favorite "toy," that provides a forum for a discussion of the key conceptual issue…

High Energy Physics - Phenomenology · Physics 2007-05-23 Harrison B. Prosper

The Cauchy problem for the linearization of a system of equations arising in the kinetic theory of a condensed gas of bosons near the critical temperature around one of its equilibria is solved for radially symmetric initial data. It is…

Analysis of PDEs · Mathematics 2022-01-19 Miguel Escobedo