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We review the concept of well-posedness in the context of evolutionary problems from mathematical physics for a particular subclass of problems from elasticity theory. The complexity of physical phenomena appears as encoded in so called…

偏微分方程分析 · 数学 2016-10-27 Rainer Picard , Sascha Trostorff , Marcus Waurick

A qualitatively new, much more liberal and efficient organisation of science is proposed and justified, in connection with growing debate about further role and development of fundamental science. Although the key ideas can be explained…

综合物理 · 物理学 2007-05-23 Andrei P. Kirilyuk

The present view of biological phenomena is based on a biochemical paradigm that development of living organisms is defined by information stored in a molecular form as some genetic code. However, new discoveries indicate that biological…

其他定量生物学 · 定量生物学 2023-11-14 Yuri K. Shestopaloff

Every physical theory has (at least) two different forms of mathematical equations to represent its target systems: the dynamical (equations of motion) and the kinematical (kinematical constraints). Kinematical constraints are…

物理学史与哲学 · 物理学 2016-03-10 Erik Curiel

The chapter presents some new approaches to describing the collective behavior of complex systems of mathematical biology based on the evolution equations of observables such as open systems. This representation of kinetic evolution has…

数学物理 · 物理学 2025-03-18 V. I. Gerasimenko

While fields like Artificial Life have made huge strides in quantifying the mechanisms that distinguish living systems from non-living ones, particular mechanisms remain difficult to reproduce in silico. Known as open-endedness, we've been…

生物物理 · 物理学 2024-07-18 Alyssa M Adams , Eliott Jacopin , Praful Gagrani , Olaf Witkowski

The aim of this manuscript is to contain the arguments and define the theoretical objects for building a general framework to model population dynamics from the ground up, relying mainly on the probabilistic landscapes defining the dynamics…

种群与进化 · 定量生物学 2023-04-26 Gui Araujo

This paper deals with the social production of knowledge in the exact sciences. After defining the term, exact science, it delineates the broad dynamic of its history. It, then, offers a socio-economic historical explanation of why the…

物理学史与哲学 · 物理学 2012-08-29 Hisham Ghassib

Functions or 'functionings' enable to give a structure to any activity and their combinations constitute the capabilities which characterize economic assets such as work utility. The basic law of supply and demand naturally emerges from…

综合经济学 · 经济学 2020-07-29 Emmanuel Chauvet

Bayesian probability theory is used as a framework to develop a formalism for the scientific method based on principles of inductive reasoning. The formalism allows for precise definitions of the key concepts in theories of physics and also…

数据分析、统计与概率 · 物理学 2011-09-12 Roberto C. Alamino

Development of several alternative mathematical models for the biological system in question and discrimination between such models using experimental data is the best way to robust conclusions. Models which challenge existing theories are…

定量方法 · 定量生物学 2016-02-01 Vitaly V. Ganusov

Many economic theories have been introduced over the course of history to articulate our understanding of the economy. Classical theories by Adam Smith and David Ricardo's Comparative Advantage have been foundational for the last century's…

理论经济学 · 经济学 2025-11-19 Sidharth Gat

Motivated by the results of recent laboratory experiments (Yoshida et al. Nature, 424, 303-306 (2003)) as well as many earlier field observations that evolutionary changes can take place in ecosystems over relatively short ecological time…

种群与进化 · 定量生物学 2007-05-23 Debashish Chowdhury , Dietrich Stauffer

We consider the thermodynamic approach to the description of economic systems and processes. The first and second laws of thermodynamics as applied to economic systems are derived and analyzed. It is shown that there is a deep analogy…

综合金融 · 定量金融 2021-02-03 Sergey Rashkovskiy

Philosophy of science attempts to describe all parts of the scientific process in a general way in order to facilitate the description, execution and improvements of this process. So far, all proposed philosophies have only covered existing…

计算机科学中的逻辑 · 计算机科学 2023-02-07 Michał J. Gajda

Extremal principles are fundamental in our interpretation of phenomena in nature. One of the best known examples is the second law of thermodynamics, governing most physical and chemical systems and stating the continuous increase of…

统计力学 · 物理学 2007-05-23 Dirk Helbing , Tamas Vicsek

The seriousness of the current crisis urgently demands new economic thinking that breaks the austerity vs. deficit spending circle in economic policy. The core tenet of the paper is that the most important problems that natural and social…

综合金融 · 定量金融 2012-08-20 Jaime Gomez-Ramirez

This work aims to formalize some of the ways scientific concepts are formed in the process of theoretical physics discovery. Since this may at first seem like a task beyond the scope of the exact sciences (natural and formal sciences), we…

物理学史与哲学 · 物理学 2025-09-30 Omar Aguilar , Anthony Aguirre

In this article we will show that the Macro-Economy and its growth can be modelled and explained exactly in principle by commonly known Field Theory from theoretical physics. We will show the main concepts and calculations needed and show…

综合金融 · 定量金融 2014-07-24 Heribert Genreith

Contraction theory is a mathematical framework for studying the convergence, robustness, and modularity properties of dynamical systems and algorithms. In this opinion paper, we provide five main opinions on the virtues of contraction…

系统与控制 · 电气工程与系统科学 2025-07-24 Alexander Davydov , Francesco Bullo