Question

我有一篇数学论文（英语的），谁能帮我翻译一下。

Mathematical modelA mathematical model uses mathematical language to describe a system. Mathematical models are used not only in the natural sciences and engineering disciplines (such as physics, biology, earth science, meteorology, and electrical engineering) but also in the social sciences (such as economics, psychology, sociology and political science); physicists, engineers, computer scientists, and economists use mathematical models most extensively.Eykhoff (1974) defined a mathematical model as 'a representation of the essential aspects of an existing system (or a system to be constructed) which presents knowledge of that system in usable form'.Mathematical models can take many forms, including but not limited to dynamical systems, statistical models, differential equations, or game theoretic models. These and other types of models can overlap, with a given model involving a variety of abstract structures. Contents· 1 Examples of mathematical models · 2 Background · 3 Building blocks · 4 Classifying mathematical models · 5 A priori information o 5.1 Subjective information · 6 Complexity · 7 Training · 8 Model evaluation o 8.1 Fit to empirical data o 8.2 Scope of the model o 8.3 Philosophical considerations · 9 See also · 10 References · 11 Further reading · 12 External links Population Growth. A simple (though approximate) model of population growth is the Malthusian growth model. The preferred population growth model is the logistic function. · Model of a particle in a potential-field. In this model we consider a particle as being a point of mass m which describes a trajectory which is modeled by a function x

Answer 1

数学modela数学模型用数学语言来描述一个系统。数学模型的使用，不仅在自然科学和工程学科（如物理，地球科学，生物学，气象学，机电工程）而且在社会科学（例如经济学，心理学，社会学和政治学）；物理学家，工程师，计算机科学家，经济学家使用最广泛的数学模型。eykhoff（1974）定义了一个数学模型为代表的重要方面，现有的系统（或系统构造），提出了知识的系统在可用的形式的数学模型。可以采取多种形式，包括但不限于动力系统，统计模型，微分方程，或游戏理论模型。这些和其他类型的模型可以重叠，与一个给定的模型涉及各种抽象结构。内容·1实例模型·2背景·3块，4·分类模型·5先验信息5.1主观信息·6复杂性·7训练·8模型评价8.1适合的经验数据8.2范围的模型8.3的哲学思考·9见·10参考·11进一步阅读·12外部链接人口增长。一个简单的（虽然近似）模型的人口增长是马尔萨斯的增长模型。首选的人口增长模型的逻辑功能。·模型的粒子在势场法。在这个模型，我们考虑一个粒子作为一个点的质量描述轨迹模型的功能 分享到 翻译结果重试 抱歉，系统响应超时，请稍后再试 支持中英、中日在线互译 支持网页翻译，在输入框输入网页地址即可 提供一键清空、复制功能、支持双语对照查看，使您体验更加流畅

Answer 2

啊