[物] 量纲分析
End of my dimensional analysis.
量纲分析就是这样。
But when you do a dimensional analysis, you better be careful.
但我们必须谨慎地进行，量纲分析。
And I start my dimensional analysis and I end up dead in the waters.
然后再作量纲分析，然后彻底玩完了。
Structure the information; for example, to enable dimensional analysis.
对信息进行组织；例如用于支持量纲分析。
Is this dimensional analysis perhaps one that could have been done differently?
量纲分析也许，可以换一种方式？
量纲分析（Dimensional Analysis）是物理学和工程学中的基础研究方法，主要用于通过物理量的量纲关系来验证公式、推导规律及简化实验。以下是详细解释：
量纲分析基于量纲齐次原则，即任何有物理意义的方程，其等式两端的量纲必须一致。例如，速度的量纲为长度/时间（L/T），若某公式中出现速度项，其组合必须满足这一量纲。
该方法于20世纪初系统化提出，广泛应用于流体力学、热力学等领域，成为建立数学模型和实验设计的核心工具。
Dimensional analysis is a mathematical technique used to study and understand physical phenomena. It involves analyzing the dimensions of the different physical quantities involved in a problem to determine relationships between them.
For example, the formula for the period of a ****** pendulum can be derived using dimensional analysis. The period of a pendulum depends on the length of the pendulum, the acceleration due to gravity, and the mass of the pendulum bob. By analyzing the dimensions of these physical quantities, we can determine that the period of a pendulum is proportional to the square root of the length of the pendulum and inversely proportional to the square root of the acceleration due to gravity.
Dimensional analysis is commonly used in physics, engineering, and other scientific disciplines to derive relationships between physical quantities and to check the validity of equations. It is also useful for converting units and for simplifying complex equations.
近义词：unit analysis
反义词：non-dimensional analysis
用法示例：
The problem required the use of dimensional analysis to determine the relationship between the different physical quantities involved.（这个问题需要使用量纲分析来确定涉及的不同物理量之间的关系。）
The engineer used dimensional analysis to simplify the complex equation and make it easier to understand.（工程师使用量纲分析来简化复杂的方程式，使其更易于理解。）
The student struggled with unit conversions until he learned how to use dimensional analysis.（学生在学会如何使用量纲分析之前，一直苦于单位换算。）
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