The Buckingham π theorem describes how every physically meaningful equation involving n variables can be equivalently rewritten as an equation of n − m dimensionless … See more

In dimensional analysis, a ratio which converts one unit of measure into another without changing the quantity is called a conversion factor. For example, kPa and bar are both units … See more

Dimensional analysis is most often used in physics and chemistry – and in the mathematics thereof – but finds some applications outside … See more

A simple example: period of a harmonic oscillator
What is the period of oscillation T of a mass m attached to an … See more

Many parameters and measurements in the physical sciences and engineering are expressed as a concrete number—a numerical quantity … See more

The most basic rule of dimensional analysis is that of dimensional homogeneity.
However, the dimensions form an abelian group under … See more

The origins of dimensional analysis have been disputed by historians. The first written application of dimensional analysis has been credited to See more