维度分析和对数函数

Q3 Social Sciences

Physics Education Pub Date : 2024-08-09 DOI:10.1088/1361-6552/ad682b

Jeffrey Bierman, Eric Kincanon

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引用次数: 0

摘要

在处理对数函数时，学生常常对单位感到困惑。通常的解决方法是指出函数给出的结果是无单位的。虽然这种说法是正确的，但它并没有解决更深层次的问题，即为什么对数是无单位的，以及涉及对数的图形分析如何导致取决于原始数据单位的无单位结果。本文通过将对数视为超越函数，以及这与单位的确定之间的关系来解释这个问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Dimensional analysis and logarithmic functions

Students are often confused by units when dealing with a logarithmic function. This is frequently dealt with by stating that the function gives a unitless result. Though correct, it does not address the deeper question of why the logarithm is unitless and how a graphical analysis involving logarithms can lead to unitless results that depend on the original data’s units. This paper explains this by considering the logarithm as a transcendental function and how that relates to the determination of units.

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来源期刊

Physics Education Social Sciences-Education

CiteScore

1.50

自引率

0.00%

发文量

195

期刊介绍： Physics Education seeks to serve the physics teaching community and we welcome contributions from teachers. We seek to support the teaching of physics to students aged 11 up to introductory undergraduate level. We aim to provide professional development and support for teachers of physics around the world by providing: a forum for practising teachers to make an active contribution to the physics teaching community; knowledge updates in physics, educational research and relevant wider curriculum developments; and strategies for teaching and classroom management that will engage and motivate students.